The Hexagonal Geometry of the Tree of Life                   November 17, 2010The Hexagonal GeometryOf the Tree of LifeBy ...
The Hexagonal Geometry of the Tree of Life                                                                  November 17, 2...
The Hexagonal Geometry of the Tree of Life                                                                                ...
The Hexagonal Geometry of the Tree of Life                                                                              No...
The Hexagonal Geometry of the Tree of Life                              November 17, 2010PrefaceThis little book does not ...
The Hexagonal Geometry of the Tree of Life                            November 17, 2010Note to the 2010 EditionThe main di...
The Hexagonal Geometry of the Tree of Life                                      November 17, 2010General IntroductionAs yo...
The Hexagonal Geometry of the Tree of Life                             November 17, 2010A polyhex figure is one that is co...
The Hexagonal Geometry of the Tree of Life                            November 17, 2010A ‘tetrahex’ consists of four adjac...
The Hexagonal Geometry of the Tree of Life                              November 17, 2010Introduction to the Polyhex Tree ...
The Hexagonal Geometry of the Tree of Life                                November 17, 2010                               ...
The Hexagonal Geometry of the Tree of Life                           November 17, 2010Variation increases when a fourth he...
The Hexagonal Geometry of the Tree of Life                                  November 17, 2010The first four orders of poly...
The Hexagonal Geometry of the Tree of Life                                        November 17, 2010The Polyhex Tree of Lif...
The Hexagonal Geometry of the Tree of Life                                 November 17, 2010The two remaining trihexes the...
The Hexagonal Geometry of the Tree of Life                         November 17, 2010                             Figure 10...
The Hexagonal Geometry of the Tree of Life                                      November 17, 2010The Malkut TetrahexThe Ma...
The Hexagonal Geometry of the Tree of Life                               November 17, 2010You will notice a similarity bet...
The Hexagonal Geometry of the Tree of Life                             November 17, 2010                             Figur...
The Hexagonal Geometry of the Tree of Life                             November 17, 2010                           Figure ...
The Hexagonal Geometry of the Tree of Life                                  November 17, 2010                        Figur...
The Hexagonal Geometry of the Tree of Life                                 November 17, 2010                           Fig...
The Hexagonal Geometry of the Tree of Life                              November 17, 2010In my understanding the Hebrew Mo...
The Hexagonal Geometry of the Tree of Life                              November 17, 2010                            Figur...
The Hexagonal Geometry of the Tree of Life                              November 17, 2010                             Figu...
The Hexagonal Geometry of the Tree of Life                                      November 17, 2010The Twelve Simple Pentahe...
The Hexagonal Geometry of the Tree of Life                               November 17, 2010Following the lead of the Sefer ...
The Hexagonal Geometry of the Tree of Life                               November 17, 2010The Het (Cardinal Water) pentahe...
The Hexagonal Geometry of the Tree of Life                               November 17, 2010The Ayin (Cardinal Earth) pentah...
The Hexagonal Geometry of the Tree of Life                               November 17, 2010Pentahex Word FormsThe hexagonal...
The Hexagonal Geometry of the Tree of Life                             November 17, 2010For example, the four letters of t...
The Hexagonal Geometry of the Tree of Life                                 November 17, 2010Pentahex word-forms can be emp...
The Hexagonal Geometry of the Tree of Life                              November 17, 2010Constructing Polyhex Tree of Life...
The Hexagonal Geometry of the Tree of Life                                    November 17, 2010The sefirah Keter, as you k...
The Hexagonal Geometry of the Tree of Life                            November 17, 2010   o   Ain Sof: White   o   Aur: Gr...
The Hexagonal Geometry of the Tree of Life                                November 17, 2010                           Figu...
The Hexagonal Geometry of the Tree of Life                                      November 17, 2010                       Fi...
The Hexagonal Geometry of the Tree of Life                             November 17, 2010Tree of Life Sefirotic Mandalas (1...
The Hexagonal Geometry of the Tree of Life                           November 17, 2010A Tree of Life ‘Snowflake’ Mandala (...
The Hexagonal Geometry of the Tree of Life                                November 17, 2010                            Fig...
The Hexagonal Geometry of the Tree of Life                                November 17, 2010   o Three Highest Sefirot: Yel...
The Hexagonal Geometry of the Tree of Life                                    November 17, 2010The blue tetrahexes of the ...
The Hexagonal Geometry of the Tree of Life                              November 17, 2010My next polyhex design (figured a...
The Hexagonal Geometry of the Tree of Life                                   November 17, 2010   o 3-hex : 3 x 3 = 9 hexag...
The Hexagonal Geometry of the Tree of Life                                   November 17, 2010                          Fi...
The Hexagonal Geometry of the Tree of Life                                    November 17, 2010The number 147 keeps croppi...
The Hexagonal Geometry of the Tree of Life                                      November 17, 2010If you think you can find...
The Hexagonal Geometry of the Tree of Life                                    November 17, 2010The twenty-two pathway pent...
The Hexagonal Geometry of the Tree of Life                             November 17, 2010Closer to the Tree of Life        ...
The Hexagonal Geometry of the Tree of Life                          November 17, 2010A Pentahex Hexagonal Mandala (22 Pent...
The Hexagonal Geometry of the Tree of Life                            November 17, 2010A Pentahex Triangular Mandala (22 P...
The Hexagonal Geometry of the Tree of Life                              November 17, 2010A Pentahex Hexagonagram (22 Polyh...
The Hexagonal Geometry of the Tree of Life                        November 17, 2010                               Figure 5...
The Hexagonal Geometry of the Tree of Life                             November 17, 2010Polyhex DivinationThe thirty-two p...
The Hexagonal Geometry of the Tree of Life                              November 17, 2010During the process of divination ...
The Hexagonal Geometry of the Tree of Life                              November 17, 2010AppendixThe Polyhex Key to the Pa...
The Hexagonal Geometry of the Tree of Life                              November 17, 2010Before the beginning of Time and ...
The Hexagonal Geometry of the Tree of Life                                November 17, 2010rearranges the nineteen hexes o...
The Hexagonal Geometry of the Tree of Life                                   November 17, 2010sefirot of the Tree of Life—...
The Hexagonal Geometry of the Tree of Life                                    November 17, 2010‘hierarchy of the planes’1 ...
The Hexagonal Geometry of the Tree of Life                                November 17, 2010An important consequence of the...
The Hexagonal Geometry of the Tree of Life                                              November 17, 2010disappears. This ...
The Hexagonal Geometry of the Tree of Life                                             November 17, 2010                  ...
The Hexagonal Geometry of the Tree of Life                              November 17, 2010The seven Double letters have two...
The Hexagonal Geometry of the Tree of Life                                              November 17, 2010                 ...
The Hexagonal Geometry of the Tree of Life                               November 17, 2010pathways, and the twelve Simple ...
The Hexagonal Geometry of the Tree of Life                                         November 17, 2010The Zohar is similarly...
The Hexagonal Geometry of the Tree of Life                                    November 17, 2010One of the key arguments fo...
The Hexagonal Geometry of the Tree of Life                                November 17, 2010You may have noticed in the dia...
The Hexagonal Geometry of the Tree of Life                                                 November 17, 2010sefirah Tifare...
The Hexagonal Geometry of the Tree of Life                              November 17, 2010enclosure whose four walls inters...
The Hexagonal Geometry of the Tree of Life                                         November 17, 2010Thus, it is more logic...
The Hexagonal Geometry of the Tree of Life                           November 17, 2010three Mother letter pathways galvani...
The Hexagonal Geometry of the Tree of Life   November 17, 2010Esoteric ServicesIntuitive Astrology & Tarot ReadingsBy Patr...
The Hexagonal Geometry of the Tree of Life   November 17, 2010   76
The Hexagonal Tree of Life
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The Hexagonal Tree of Life

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This book explores (using polyhex mathematics) the special relationship that exists between the kabbalistic Tree of Life diagram and the geometry of the simple hexagon. It reveals how the ten sefirot and the twenty-two pathways of the Tree of Life are each individually and uniquely linked to the hexagonal form. The Hebrew alphabet is also shown to be esoterically associated with the geometry of the hexagon. This book consists of 76 pages and 66 diagrams.

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The Hexagonal Tree of Life

  1. 1. The Hexagonal Geometry of the Tree of Life November 17, 2010The Hexagonal GeometryOf the Tree of LifeBy Patrick MulcahyThis short treatise explores (using polyhex mathematics) the specialrelationship that exists between the kabbalistic Tree of Life diagram and thegeometry of the simple hexagon. It reveals how the ten sefirot and the twenty -two pathways of the Tree of Life are each individually and uniquely linked tothe hexagonal form. The Hebrew alphabet is also shown to be esotericallyassociated with the geometry of the hexagon.This treatise is intended to be a primer for the further study and esotericapplication of polyhex mathematics.First Edition (Expanded)Copyright 2008 © Patrick MulcahyAstroQab Publishing 2008Email: mallukh_ahi@yahoo.comWebsite: http://www.astroqab.co.nr/ 2
  2. 2. The Hexagonal Geometry of the Tree of Life November 17, 2010Table of ContentsPreface .................................................................................................................................. 6Note to the 2010 Edition ....................................................................................................... 7General Introduction ............................................................................................................. 8Introduction to the Polyhex Tree of Life .............................................................................. 11The Polyhex Tree of Life ...................................................................................................... 15 The Three Highest Sefirot ................................................................................................ 15 The Seven Lower Sefirot .................................................................................................. 16 The Malkut Tetrahex ....................................................................................................... 18 The Holy Name ................................................................................................................ 20 The Twenty-two Pathways .............................................................................................. 21 The Shin Pentahex ........................................................................................................... 22Towards A Pentahex Alphabet ............................................................................................ 24 The Twelve Simple Pentahexes........................................................................................ 27 Pentahex Word Forms ..................................................................................................... 31Constructing Polyhex Tree of Life Mandalas ........................................................................ 34 Introduction .................................................................................................................... 34 A Tree of Life Hexagonal Mandala (34 Polyhexes) ........................................................... 35 Tree of Life Sefirotic Mandalas (10 Polyhexes)................................................................. 39 A Tree of Life ‘Snowflake’ Mandala (32 Polyhexes) .......................................................... 40 One Hundred and Forty-seven Hexagons ........................................................................ 42 Closer to the Tree of Life ................................................................................................. 50 A Pentahex Hexagonal Mandala (22 Pentahexes) ............................................................ 51 A Pentahex Triangular Mandala (22 Polyhexes) ............................................................... 52 A Pentahex Hexagonagram (22 Polyhexes) ...................................................................... 53Polyhex Divination .............................................................................................................. 55Appendix ............................................................................................................................. 57 The Polyhex Key to the Pathways .................................................................................... 57 The Geometric Model .................................................................................................. 57Esoteric Services ................................................................................................................. 75 3
  3. 3. The Hexagonal Geometry of the Tree of Life November 17, 2010List of IllustrationsFIGURE 1: THE HEXAGONAL POSITIONING OF THE TEN SEFIROT ........................................................................................ 8FIGURE 2: THE MONOHEX & THE DIHEX ..................................................................................................................... 9FIGURE 3: THE THREE TRIHEXES................................................................................................................................ 9FIGURE 4: THE TWO PRIMORDIAL VEILS ................................................................................................................... 11FIGURE 5: THE THREE TRIHEX SEFIROT ..................................................................................................................... 12FIGURE 6: THE SEVEN TETRAHEX SEFIROT ................................................................................................................. 12FIGURE 7: THE TWENTY-TWO PENTAHEXES ............................................................................................................... 13FIGURE 8: THE SINGLE HEXAHEX CONTAINING A HOLE ................................................................................................. 14FIGURE 9: THE FIRST THREE SEFIROT OF THE TREE OF LIFE ............................................................................................. 15FIGURE 10: THE POLYHEX TREE OF LIFE .................................................................................................................... 17FIGURE 11: TWO EXAMPLES OF TETRAHEXES TILING THE PLANE ..................................................................................... 18FIGURE 12: THE MALKUT TETRAHEX TILING THE PLANE ................................................................................................ 18FIGURE 13: THE BINAH & MALKUT POLYHEXES .......................................................................................................... 19FIGURE 14: THE KETER-MALKUT HEPTAHEX .............................................................................................................. 19FIGURE 15: THE KETER-MALKUT HEXAGRAM ............................................................................................................ 20FIGURE 16: YHV & YHVH - EXAMPLE POLYHEXES ...................................................................................................... 21FIGURE 17: TWO SIMPLE PENTAHEXES TILING THE PLANE ............................................................................................. 22FIGURE 18: THE SHIN PENTAHEX TILING THE PLANE .................................................................................................... 23FIGURE 19: THE BINAH , MALKUT, & SHIN POLYHEXES ................................................................................................. 23FIGURE 20: THE SHIN PENTAHEX & HEBREW LETTER ................................................................................................... 24FIGURE 21: THE TWELVE SIMPLE PENTAHEXES ........................................................................................................... 25FIGURE 22: THE THREE MOTHER PENTAHEXES ........................................................................................................... 25FIGURE 23: THE SEVEN DOUBLE PENTAHEXES ............................................................................................................ 26FIGURE 24: THE TWELVE SIMPLE PENTAHEXES & HEBREW LETTERS ................................................................................ 27FIGURE 25: THE THREE SIMPLE FIRE PENTAHEXES ....................................................................................................... 28FIGURE 26: THE THREE SIMPLE WATER PENTAHEXES ................................................................................................... 28FIGURE 27: THE THREE SIMPLE AIR PENTAHEXES ........................................................................................................ 29FIGURE 28: THE THREE SIMPLE EARTH PENTAHEXES .................................................................................................... 29FIGURE 29: THE TWO PENTAHEX TRIANGLES ............................................................................................................. 31FIGURE 30: PENTAHEX ALPHABET YHVH .................................................................................................................. 32FIGURE 31: PENTAHEX ALPHABET DBR .................................................................................................................... 32FIGURE 32: THE ANGEL MICHAEL - PENTAHEX ALPHABET ............................................................................................. 33FIGURE 33: THE FIRST TWELVE POLYHEXES FORM A HEXAGON ...................................................................................... 35FIGURE 34: A PENTAHEX HEXAGONAL MANDALA ....................................................................................................... 36FIGURE 35: A 34 POLYHEX TREE OF LIFE HEXAGON ..................................................................................................... 37FIGURE 36: THE POLYHEX TREE OF LIFE HEXAGON - LABELLED ....................................................................................... 38FIGURE 37: A TEN SEFIROT POLYHEX HEXAGRAM ....................................................................................................... 39FIGURE 38: A TEN SEFIROT POLYHEX HEXAGON ......................................................................................................... 39FIGURE 39: A PENTAHEX SNOWFLAKE MANDALA ....................................................................................................... 40FIGURE 40: A TREE OF LIFE POLYHEX SNOWFLAKE ...................................................................................................... 41FIGURE 41: A TREE OF LIFE POLYHEX TRIANGLE .......................................................................................................... 42FIGURE 42: ANOTHER TREE OF LIFE POLYHEX TRIANGLE ............................................................................................... 43FIGURE 43: THE APEX TRIANGLE IS MIRRORED ........................................................................................................... 44FIGURE 44: A TRIANGULAR POLYHEX MANDALA - LABELLED .......................................................................................... 45FIGURE 45: A TREE OF LIFE POLYHEX TRIPLE DIAMOND ................................................................................................ 46FIGURE 46: TREE OF LIFE TRIPLE DIAMOND - LABELLED ................................................................................................ 47 4
  4. 4. The Hexagonal Geometry of the Tree of Life November 17, 2010FIGURE 47: THE TREE OF LIFE TRIPLE DIAMOND BLUEPRINT .......................................................................................... 48FIGURE 48: TREE OF LIFE TRIPLE DIAMOND MANDALA – HORIZONTAL VERSION ................................................................. 49FIGURE 49: THE HORIZONTAL TRIPLE DIAMOND MANDALA - LABELLED ............................................................................ 49FIGURE 50: CLOSER TO THE TREE OF LIFE .................................................................................................................. 50FIGURE 51: A PENTAHEX HEXAGONAL MANDALA ....................................................................................................... 51FIGURE 52: A PENTAHEX TRIANGULAR MANDALA ....................................................................................................... 52FIGURE 53: A PENTAHEX HEXAGONAGRAM ............................................................................................................... 53FIGURE 54: A HEXAGONAGRAM ............................................................................................................................. 54FIGURE 55: COMBINED HEXAGON & HEXAGRAM ....................................................................................................... 54FIGURE 56 : THE MERGING OF SPIRIT & FORM .......................................................................................................... 57FIGURE 57 : TREE OF LIFE POLYHEXAGON ................................................................................................................. 58FIGURE 58: THE GENESIS & TREE OF LIFE POLYHEXES .................................................................................................. 59FIGURE 59 : THE MERGING OF THE SPIRIT & FORM POLYHEXES ...................................................................................... 60FIGURE 60 : THE TREE OF LIFE POLYHEXAGON............................................................................................................ 61FIGURE 61 : THE SOUL PRINCIPLE (GREEN) ............................................................................................................... 62FIGURE 62 : POLYHEXAGON TREE OF LIFE — HEBREW ................................................................................................. 64FIGURE 63 : TREE OF LIFE — TRADITIONAL & POLYHEX DESIGNS .................................................................................... 66FIGURE 64 : THE HIERARCHICAL ARRANGEMENT OF THE HEBREW LETTERS ........................................................................ 68FIGURE 65: TREE OF LIFE : 3+7+12 PATHWAYS ......................................................................................................... 71FIGURE 66: THE POLYHEX TREE OF LIFE (REVISED) ...................................................................................................... 73 5
  5. 5. The Hexagonal Geometry of the Tree of Life November 17, 2010PrefaceThis little book does not seek to expound upon, or try to explain the esoteric meaning of thekabbalistic Tree of Life. My previous book Formation of the Tree of Life explored in somedepth those mysteries.This treatise does, however, provide some thought-provoking geometric correspondencesthat can deepen our understanding of the Tree of Life diagram through the process of visualmeditation and contemplation.I have deliberately not elaborated on the possible meaning of much of this visual material.Rather, I have preferred to let the images speak for themselves as much as possible.This book has been written for students of the Kabbalah who already have some knowledgeof the kabbalistic Tree of Life.I believe that the images contained herein have the potential to stimulate the intuitive mindof the reader, and to open up pathways of understanding that perhaps exist just below thesurface of consciousness.It is my hope that these images will stir the latent knowledge within you and bring to yourconscious awareness the divine illumination of the soul.Patrick Mulcahy (16th June, 2008.) 6
  6. 6. The Hexagonal Geometry of the Tree of Life November 17, 2010Note to the 2010 EditionThe main difference between this 2010 edition of The Hexagonal Geometry of the Tree ofLife and the original version is that I’ve added an Appendix.The Appendix is significant because it adds another polyhex-based dimension to our study ofthe kabbalistic Tree of Life.The content of the Appendix is taken from the 2010 edition of my book The Formation ofthe Tree of Life. The reason I copied it into this book is because I understand that noteveryone who is interested in the polyhex Tree of Life will want to wade through the ratherdense Kabbalah of Formation of the Tree of Life.I hope you enjoy the new content.Patrick Mulcahy (17th November, 2010.) 7
  7. 7. The Hexagonal Geometry of the Tree of Life November 17, 2010General IntroductionAs you may know, the pattern of the kabbalistic Tree of Life diagram is constructed usingthe geometry of the hexagon as its basis. (See the new Appendix.)The ten sefirot of the Tree diagram are positioned according to the principles of hexagonalgeometry. Figure 1: The Hexagonal Positioning of the Ten SefirotWhat may be new to you is the fact that the symbolism of the hexagon extends also to theten individual sefirot and the twenty-two individual pathways of the Tree of Life.The hexagonal geometry of the ten sefirot and the twenty-two pathways is based on what iscalled polyhex mathematics. 8
  8. 8. The Hexagonal Geometry of the Tree of Life November 17, 2010A polyhex figure is one that is constructed by joining hexagons together adjacently invarious configurations.Polyhexes are classified into groups according to the number of hexagons that are used inthe construction of each member of each group. Special names are used to identify eachgroup of polyhexes.A ‘monohex’ (or ‘1-hex’) is used to describe a single hexagon. There is only one possiblemonohex shape.A ‘dihex’ (or ‘2-hex’) is a shape that incorporates two adjacent hexagons. There is only onepossible dihex shape. Figure 2: The Monohex & the DihexA ‘trihex’ (or ‘3-hex’) is a shape that consists of three adjacent hexagons. There are onlythree possible trihex shapes. Figure 3: The Three Trihexes 9
  9. 9. The Hexagonal Geometry of the Tree of Life November 17, 2010A ‘tetrahex’ consists of four adjacent hexagons, and a ‘pentahex’ consists of five adjacenthexagons.Below is a table showing the number of unique polyhexes in each of these groups. Polyhex Number in Group 1-Hex 1 Monohex 2-Hex 1 Dihex 3-Hex 3 Trihexes 4-Hex 7 Tetrahexes 5-Hex 22 Pentahexes Total: 34 PolyhexesThe mathematical sequence 1, 1, 3, 7, 22 is interesting because it describes the basicelements of the structure of the kabbalistic Tree of Life. Polyhex Number Tree of Life 0-hex 0 Ain (‘Absolute Unknown’) 1-hex 1 Monohex Ain Sof (First Veil) 2-hex 1 Dihex Aur (Second Veil) 3-hex 3 Trihexes 3 Highest Sefirot 4-hex 7 Tetrahexes 7 Lower Sefirot 5-hex 22 Pentahexes 22 PathwaysThus, the hexagonal geometry that is used to construct the basic layout of the Tree of Lifediagram is also seen to extend to its individual component parts (i.e. to the sefirot andpathways). 10
  10. 10. The Hexagonal Geometry of the Tree of Life November 17, 2010Introduction to the Polyhex Tree of LifeHere is how I basically interpret the polyhex symbolism as it is applied to the kabbalisticTree of Life:The first two groups of polyhexes symbolise the primordial veils: Ain Sof (‘Limitlessness’)and Aur (‘Light’).These two polyhex groups are significantly different to those that follow because theycontain only one polyhex each. Figure 4: The Two Primordial VeilsIt is not until we reach the third polyhex group (i.e. the 3-hex group) that variation becomespossible and multiple forms are generated. 11
  11. 11. The Hexagonal Geometry of the Tree of Life November 17, 2010 Figure 5: The Three Trihex SefirotThe three trihexes symbolise the highest three sefirot of the Tree of Life. Figure 6: The Seven Tetrahex Sefirot 12
  12. 12. The Hexagonal Geometry of the Tree of Life November 17, 2010Variation increases when a fourth hexagon is added to form the 4-hex group.The seven tetrahexes of the 4-hex group symbolise the seven lower sefirot of the Tree ofLife.When a fifth hexagon is added a total of twenty-two 5-hex forms are generated.The twenty-two pentahexes correspond with the twenty-two pathways of the Tree of Life(and also the 22 letters of the Hebrew alphabet). Figure 7: The Twenty-two PentahexesThus, the various components of the structure of the Tree of Life diagram can be seen tocorrespond with the sequence of polyhex groups from 1-hex to 5-hex. 13
  13. 13. The Hexagonal Geometry of the Tree of Life November 17, 2010The first four orders of polyhexes reflect the main body of the Tree diagram (i.e. the twoprimordial veils and the ten sefirot) while the fifth order of polyhexes is associated with thetwenty-two pathways of the Tree of Life.These first five classes of polyhexes are geometrically differentiated from the higher ordergroups that follow them because none of the first five groupings contain a polyhex with ahole in it.It is not until the sixth order of polyhexes is reached that a hole appears, and then in onlyone of the total 82 hexahexes in the 6-hex group. Figure 8: The Single Hexahex Containing a Hole 14
  14. 14. The Hexagonal Geometry of the Tree of Life November 17, 2010The Polyhex Tree of LifeThe Three Highest SefirotThe principles of hexagonal geometry upon which these polyhex forms are based allow thefigures in each polyhex group to be fitted together adjacently in the manner of a jigsawpuzzle. But unlike a jigsaw puzzle, polyhexes can form multiple and various shapesdepending on how they are arranged.As I mentioned previously, the single monohex symbolises the first primordial veil–called‘Ain Sof’, and the single dihex represents the second primordial veil–called ‘Aur’.Significantly, these two polyhexes fit snugly together to form (what I consider to be) the firsttrihex–corresponding to the first sefirah of the Tree of Life, called Keter. Figure 9: The First Three Sefirot of the Tree of LifeSo the monohex of Ain Sof combines with the dihex of Aur to produce the first trihexrepresenting Ain Sof Aur (‘Limitless Light’) and the first sefirah Keter of the Tree of Life. 15
  15. 15. The Hexagonal Geometry of the Tree of Life November 17, 2010The two remaining trihexes then naturally align with the sefirot Hockmah and Binah of theTree of Life.The symbolism of Ain Sof (‘Limitlessness’) and Aur (‘Light’) combining to form the firstsefirah Keter reflects the idea of Keter being so close to the Limitless Light (Ain Sof Aur) thattheir point of separation is barely definable.I have assigned the ‘straight line’ trihex to Hockmah and the curving trihex to Binah.Thus, the Keter trihex resembles and symbolises a ‘point’, the Hockmah trihex symbolises a‘line’, and the Binah trihex symbolises a ‘curve’.This basic symbolism is also reflected downward in the tetrahex sefirot directly beneathKeter, Hockmah and Binah–i.e. in Tifaret, Hesed and Geburah. (See below.)You will notice that the curving shape of the Binah trihex is also reflected down to theMalkut tetrahex.The Seven Lower SefirotIn arranging the seven tetrahexes upon the Tree of Life diagram I have used a rationale thatlinks the higher three sefirot with the lower seven sefirot.The Tifaret tetrahex is thus a natural extension of the Keter trihex.Similarly, the Hesed tetrahex is a natural extension of the Hockmah trihex, and the Geburahtetrahex builds naturally upon the Binah trihex. 16
  16. 16. The Hexagonal Geometry of the Tree of Life November 17, 2010 Figure 10: The Polyhex Tree of LifeIn Geburah the Binah curve becomes an undulation–like the twisting movement of aserpent. 17
  17. 17. The Hexagonal Geometry of the Tree of Life November 17, 2010The Malkut TetrahexThe Malkut tetrahex has been assigned because it has a unique geometric property thatseparates it from the other six tetrahexes in the 4-hex group. (Note that its shape also bearsa significant resemblance to the Binah trihex.)The first six tetrahexes are able to ‘tile the plane’ by translation in two directions. In otherwords, they can completely cover an area by being stacked on top of each other. Figure 11: Two Examples of Tetrahexes Tiling the PlaneThe seventh (or Malkut) tetrahex, on the other hand, is unable to tile the plane in thatmanner. It is only able to tile the plane by rotating 180° in the plane. Figure 12: The Malkut Tetrahex Tiling the Plane 18
  18. 18. The Hexagonal Geometry of the Tree of Life November 17, 2010You will notice a similarity between the shape of the Binah trihex and the Malkut tetrahex.The Binah-Malkut polyhex geometric similarity reflects the special relationship that isthought to exist between these two sefirot. Figure 13: The Binah & Malkut PolyhexesInterestingly, this assignment of the Malkut tetrahex also means that it is able to combinesymmetrically with the Keter trihex to form (what I consider to be) the first heptahex of the7-hex order of polyhexes. Figure 14: The Keter-Malkut HeptahexThe Keter-Malkut heptahex is similar in structure to a hexagram (or Jewish ‘Star of David’). 19
  19. 19. The Hexagonal Geometry of the Tree of Life November 17, 2010 Figure 15: The Keter-Malkut HexagramThe symbolism of this Keter-Malkut polyhex relationship is (I feel) quite apposite with theesoteric meaning of the Tree of Life diagram.The Holy NameThe seven tetrahexes, by definition, consist of clusters of four hexagons. It is temptingtherefore, to associate their component hexagons with the four letters of the holyTetragrammaton YHVH.Similarly, the three hexagons of the three trihexes can be associated with the three lettersof the holy Trigrammaton YHV. 20
  20. 20. The Hexagonal Geometry of the Tree of Life November 17, 2010 Figure 16: YHV & YHVH - Example PolyhexesThe Twenty-two PathwaysIt is not as easy to assign the twenty-two pentahexes individually to their Tree of Lifepathways as it is to assign the other polyhexes to their associated sefirot.One major clue that helps us however, is that twelve of the twenty-two pentahexes aregeometrically differentiated from the others and therefore appear to correspond with thetwelve Simple letters of the Hebrew alphabet (i.e. as set forth in the book: The SeferYetzirah).Like the six Hesed to Yesod tetrahexes, these twelve pentahexes are able to ‘tile the plane’(without rotation) by being stacked on top of each other. 21
  21. 21. The Hexagonal Geometry of the Tree of Life November 17, 2010 Figure 17: Two Simple Pentahexes Tiling the PlaneI am unsure (at this stage) whether the remaining ten tetrahexes can be somehowgeometrically subdivided into a group of three and a group of seven–i.e. corresponding withthe subdivision of the Hebrew alphabet into three Mother letters and seven Double letters.It is known however, that they can be differentiated geometrically into two groups of oneand nine.The Shin PentahexOf these ten, a single pentahex is distinguished from all the other twenty-one pentahexesbecause it can only tile the plane ‘isohedrally’.This means that the layered symmetry of the tiling process is periodically interrupted by anecessary rotation of the pentahex shape. 22
  22. 22. The Hexagonal Geometry of the Tree of Life November 17, 2010 Figure 18: The Shin Pentahex Tiling the PlaneI have chosen to assign this special pentahex to the path of Shin.The Hebrew letter Shin is one of the three Mother letters of the Hebrew alphabet.I have assigned the Shin pentahex primarily because it bears a geometric similarity to theBinah trihex and the Malkut tetrahex. Figure 19: The Binah, Malkut, & Shin PolyhexesThe kabbalistic system of the Sefer Yetzirah associates the Hebrew letter Shin with thesefirah Binah (and therefore also indirectly with the sefirah Malkut). 23
  23. 23. The Hexagonal Geometry of the Tree of Life November 17, 2010In my understanding the Hebrew Mother letter Shin also has a special esoteric associationwith the twelve Hebrew Simple letters. (Similarly, the Mother letter Maym is associatedwith the seven Hebrew Double letters, and the Mother letter Alef with the three HebrewMother letters themselves.)Interestingly, you will notice that the Shin pentahex bears a certain resemblance to theactual shape of the Hebrew letter Shin. Figure 20: The Shin Pentahex & Hebrew LetterTowards A Pentahex AlphabetThe twenty-two pentahexes can be associated with the twenty-two letters of the Hebrewalphabet.Twelve pentahexes are geometrically different to the other ten and therefore canreasonably be assigned to the twelve Simple Hebrew letters.These twelve are in fact actually geometrically ‘simpler’ than the other ten pentahexes inthe 5-hex group, which is why they are able to tile the plane in the way that they do. 24
  24. 24. The Hexagonal Geometry of the Tree of Life November 17, 2010 Figure 21: The Twelve Simple PentahexesInterestingly, due to the unique irregularities of the shapes of the remaining ten pentahexesthey can all be assigned to the three Mother and seven Double letters of the Hebrewalphabet by similarity of shape. Figure 22: The Three Mother Pentahexes 25
  25. 25. The Hexagonal Geometry of the Tree of Life November 17, 2010 Figure 23: The Seven Double PentahexesIf you are very familiar with the Hebrew alphabet then you may notice some quiteremarkable similarities between these ten pentahexes and the three Mother and sevenDouble Hebrew letters.The pentahex associated with the Hebrew letter Peh is probably the least like its Hebrewletter counterpart, but it’s not too dissimilar to the ‘final form’ of the letter Peh, or themodern English letter P.The Tav pentahex is also quite dissimilar to the modern shape of the Hebrew letter Tav, butit resembles quite closely the primitive form of the ancient Hebrew Tav. This ancient Tavshape is identical to its modern English language equivalent–the letter T. 26
  26. 26. The Hexagonal Geometry of the Tree of Life November 17, 2010The Twelve Simple PentahexesAs I mentioned above, unfortunately it is difficult to assign the twelve simple pentahexes totheir Hebrew letter equivalents by shape in any obvious way.Therefore, the approach I have taken is to identify processes of change–four in particular–that symbolically move through the shapes of the twelve pentahexes. Figure 24: The Twelve Simple Pentahexes & Hebrew Letters 27
  27. 27. The Hexagonal Geometry of the Tree of Life November 17, 2010Following the lead of the Sefer Yetzirah I have organised the twelve Simple pentahexes intofour astrologically based groupings.I have assigned the three Fire sign pentahexes according to a process that moves throughthem–a process that resembles the raising of a tower. Figure 25: The Three Simple Fire PentahexesThe Heh (Cardinal Fire) pentahex symbolises the initial lifting and pushing vertically forwardand upward of the tower structure. The Sameck (Mutable Fire) pentahex represents thesecond stage of the tower erection process. The Tet (Fixed Fire) pentahex represents thecompleted erection and stabilization of the tower.The three Water sign pentahexes describe a process that resembles a wave breaking on thesurface of the ocean. Figure 26: The Three Simple Water Pentahexes 28
  28. 28. The Hexagonal Geometry of the Tree of Life November 17, 2010The Het (Cardinal Water) pentahex represents the initial surging and mounting of the wave-form. The Qof (Mutable Water) pentahex then shows the wave-form breaking. And finally,the Nun (Fixed Water) pentahex symbolises the flattening and stabilising of the ocean (i.e.after the wave has broken).The three Air pentahexes simulate the movement of a pendulum. Figure 27: The Three Simple Air PentahexesThe Lamed (Cardinal Air) pentahex symbolises the initial pulling back of the weight of thependulum. The Zayn (Mutable Air) pentahex represents the swing of the pendulum to itsopposite extremity. The Tzaddie (Fixed Air) pentahex shows the weight of the pendulumreturned to a balanced state of equilibrium.The three Earth pentahexes symbolise the process of a stone block being pushedhorizontally into position. Figure 28: The Three Simple Earth Pentahexes 29
  29. 29. The Hexagonal Geometry of the Tree of Life November 17, 2010The Ayin (Cardinal Earth) pentahex represents the initial push that starts the stone blockmoving. The Yud (Mutable Earth) pentahex represents the actual movement andmomentum of the block as it slides forward towards its final position. The Vav (Fixed Earth)pentahex symbolises the stone block stabilised and at rest after it has been pushed intoplace.Of course, I am unsure whether this method I have used to assign the twelve pentahexes tothe twelve Simple Hebrew letters is appropriate or correct, but I think it serves as a goodstarting point for experimentation.Please feel free to assign them differently if you discover a system of allocation that is moreto your liking.The Simple letter zodiacal correspondences are as follows: Heb. Letter Quality Astro. Sign Heh Cardinal Fire Aries Sameck Mutable Fire Sagittarius Tet Fixed Fire Leo Het Cardinal Water Cancer Qof Mutable Water Pisces Nun Fixed Water Scorpio Lamed Cardinal Air Libra Zayn Mutable Air Gemini Tzaddie Fixed Air Aquarius Ayin Cardinal Earth Capricorn Yud Mutable Earth Virgo Vav Fixed Earth Taurus 30
  30. 30. The Hexagonal Geometry of the Tree of Life November 17, 2010Pentahex Word FormsThe hexagonal geometry of the twenty-two pentahexes means that they can be joinedtogether in various configurations and patterns. Figure 29: The Two Pentahex TrianglesFor example, the twenty-two pentahexes when combined in a certain way are able to formtwo equilateral triangles of eleven pentahexes each, and there are various other interestinggeometric shapes that can also be built using the twenty-two pentahexes.In the figure above, the three Mother pentahexes are coloured yellow, the seven Doublepentahexes are coloured blue, and the twelve Simple pentahexes are coloured red.All this leads us to an interesting application of the twenty-two pentahexes.If we view the pentahexes as individual letters of a geometrically based alphabet then wordsconstructed using this alphabet will assume unique shapes according to the way that theircomponent letters are fitted together. 31
  31. 31. The Hexagonal Geometry of the Tree of Life November 17, 2010For example, the four letters of the Holy Name YHVH can be arranged like this: Figure 30: Pentahex Alphabet YHVHAnd there are other arrangements of the four YHVH pentahexes that are also possible andthat produce different shapes.The following figure illustrates another example of a word constructed using the pentahexalphabet. Figure 31: Pentahex Alphabet DBRThe example pentahex word-form shown in the figure above is the Hebrew word DBR,meaning ‘word’. 32
  32. 32. The Hexagonal Geometry of the Tree of Life November 17, 2010Pentahex word-forms can be employed magically wherever sigils are normally used.For example, angelic names can be formed from the pentahex letters and the resulting sigilsused in magical operations. Figure 32: The Angel Michael - Pentahex Alphabet 33
  33. 33. The Hexagonal Geometry of the Tree of Life November 17, 2010Constructing Polyhex Tree of Life MandalasIntroductionAs you know, there are thirty-four polyhexes included in the first five orders of polyhexes,from 1-hex to 5-hex.These thirty-four polyhexes symbolise the two primordial veils, the ten sefirot, and thetwenty-two pathways of the Tree of Life.The kabbalistic Tree of Life however, is traditionally ascribed only thirty-two components–i.e. the thirty-two ‘paths of wisdom’ of the Sefer Yetzirah.The two primordial veils, Ain Sof (1-hex) and Aur (2-hex), are generally omitted from theTree of Life component tally as they are thought to be beyond manifestation, or outside ofthe realm of the Creation.There are thus, two basic types of polyhex Tree of Life mandalas that can be assembled–a34 polyhex type mandala, and a 32 polyhex type mandala.A 32 polyhex mandala utilizes only the 3-hex, 4-hex, and 5-hex polyhexes, whereas the 34polyhex mandala also includes the 1-hex and 2-hex polyhexes.But, in actuality, the 32 polyhex Tree of Life mandala also discretely contains the 1-hex and2-hex polyhexes in the structure of the first of the 3-hex polyhexes (i.e. the trihex that isallocated to the first sefirah Keter). 34
  34. 34. The Hexagonal Geometry of the Tree of Life November 17, 2010The sefirah Keter, as you know, represents the first subtle manifestation of the Ain Sof Aurand as such, exhibits in its own polyhex form the union of the 1-hex (Ain Sof) and 2-hex(Aur) polyhexes.A Tree of Life Hexagonal Mandala (34 Polyhexes)The thirty-four polyhexes (i.e. 1-hex to 5-hex) can all be fitted together to form a remarkablecomposite hexagon figure.To create this polyhex Tree of Life mandala we begin by arranging the first twelve polyhexesin the following hexagonal pattern: Figure 33: The First Twelve Polyhexes Form a HexagonThese twelve polyhexes represent the main sefirotic body of the polyhex Tree of Life (plusAin Sof and Aur).The various components of the Tree of Life represented in the hexagon (figured above) arecolour-coded as follows: 35
  35. 35. The Hexagonal Geometry of the Tree of Life November 17, 2010 o Ain Sof: White o Aur: Grey o Three Highest Sefirot: Yellow o Seven Lower Sefirot: BlueThe next step in the building process requires that we arrange the twenty-two pentahexesin a similar hexagonal pattern as follows: Figure 34: A Pentahex Hexagonal MandalaAs you know, these twenty-two pentahexes are associated with the twenty-two pathways ofthe Tree of Life.Now, to complete this polyhex Tree of Life mandala we must place the large pentahexhexagon around the perimeter of the smaller sefirotic hexagon as follows: 36
  36. 36. The Hexagonal Geometry of the Tree of Life November 17, 2010 Figure 35: A 34 Polyhex Tree of Life HexagonHere is how the component polyhexes constituting the figure above are colour-coded: o Ain Sof: White o Aur: Grey o Three Highest Sefirot: Yellow o Seven Lower Sefirot: Blue o Twenty-two Pathways: RedIn the figure above, we have effectively constructed a hexagonal mandala of the kabbalisticTree of Life, built from the complete series of polyhexes from 1-hex to 5-hex.I believe this symbolic arrangement deserves some contemplation. 37
  37. 37. The Hexagonal Geometry of the Tree of Life November 17, 2010 Figure 36: The Polyhex Tree of Life Hexagon - LabelledThere are a total of thirty-four polyhexes and 150 individual hexagons in the image above.When we exclude the 1-hex and 2-hex polyhexes (of Ain Sof and Aur) we are left with thetraditional tally of thirty-two Tree of Life components comprising a total of 147 individualhexagons.We will create some 32 polyhex Tree of Life mandalas below. 38
  38. 38. The Hexagonal Geometry of the Tree of Life November 17, 2010Tree of Life Sefirotic Mandalas (10 Polyhexes)The ten combined sefirotic polyhexes of the 3-hex and 4-hex groups can be arranged toform several interesting shapes. Among them... Figure 37: A Ten Sefirot Polyhex Hexagram Figure 38: A Ten Sefirot Polyhex HexagonIn both figures above, the three trihex sefirot (i.e. of Keter, Hockmah, and Binah) arecoloured yellow, and the seven tetrahex sefirot (i.e. the lower sefirot) are coloured blue. 39
  39. 39. The Hexagonal Geometry of the Tree of Life November 17, 2010A Tree of Life ‘Snowflake’ Mandala (32 Polyhexes)To produce a traditional (i.e. 32 component) version of the polyhex Tree of Life we cancombine the small ten polyhex sefirotic hexagon (figured above) with the followingpentahex ‘snowflake’ design. Figure 39: A Pentahex Snowflake MandalaI designed the figure above to incorporate all the twenty-two pentahexes (i.e. symbolisingthe twenty-two pathways of the Tree of Life).When we combine the pentahex snowflake (above) with the smaller sefirotic hexagon weproduce the following composite figure. 40
  40. 40. The Hexagonal Geometry of the Tree of Life November 17, 2010 Figure 40: A Tree of Life Polyhex SnowflakeThe figure above includes all the thirty-two polyhex shapes from 3-hex to 5-hex, andtherefore represents the complete traditional version of the Tree of Life diagram.The figure comprehends the ten sefirot and the twenty-two pathways, but excludes the twoprimordial veils of Ain Sof (1-hex) and Aur (2-hex).But note that Ain Sof and Aur are both included in the symbolism of the Keter trihex (3-hex).Here is how the component polyhexes constituting the figure above are colour-coded: 41
  41. 41. The Hexagonal Geometry of the Tree of Life November 17, 2010 o Three Highest Sefirot: Yellow o Seven Lower Sefirot: Blue o Twenty-two Pathways: RedOne Hundred and Forty-seven HexagonsThe previous figure (i.e. the Tree of Life ‘snowflake’) is comprised of exactly 147 adjacentand adjoined hexagons, as is the following figure... Figure 41: A Tree of Life Polyhex TriangleAt the apex of this design is the yellow Keter trihex. Below and to the right of Keter is theyellow Hockmah trihex, and opposite it (on the left-hand side) is the yellow Binah trihex. 42
  42. 42. The Hexagonal Geometry of the Tree of Life November 17, 2010The blue tetrahexes of the seven lower sefirot occupy the middle space between the threeyellow trihexes of the highest sefirot.One triangular hole is in the midst of the blue sefirotic polyhex triangle.The red pentahexes (symbolising the twenty-two pathways) are spread out as the lowerfoundational aspect of the polyhex Tree of Life triangle.Three triangular holes are in the midst of the twenty-two pentahexes.As you can see, I have sought to organise the thirty-two polyhex components of the figure(above) in a way that is symbolically meaningful. Figure 42: Another Tree of Life Polyhex Triangle 43
  43. 43. The Hexagonal Geometry of the Tree of Life November 17, 2010My next polyhex design (figured above) contains three roughly triangular-shaped cornersections of 49 hexagons each–that is, 3 x 49 = 147.In this figure the sefirotic triangle (coloured yellow and blue) at the apex is mirrored by atriangular-shaped vacant area in the pentahex pathway section (coloured red) directlybeneath it. Figure 43: The Apex Triangle is MirroredThese 32 polyhex Tree of Life mandalas all contain 147 individual hexagons because thethree trihexes of the 3-hex polyhex group are constructed by joining together a total of ninehexagons, the seven tetrahexes of the 4-hex group are made from 28 hexagons, and thetwenty-two pentahexes of the 5-hex group are made from 110 hexagons. 44
  44. 44. The Hexagonal Geometry of the Tree of Life November 17, 2010 o 3-hex : 3 x 3 = 9 hexagons o 4-hex : 7 x 4 = 28 hexagons o 5-hex : 22 x 5 = 110 hexagons Total : 9 + 28 + 110 = 147 hexagons Conclusion : 32 Polyhexes = 147 Hexagons Figure 44: A Triangular Polyhex Mandala - LabelledHere follows another of my polyhex Tree of Life designs... 45
  45. 45. The Hexagonal Geometry of the Tree of Life November 17, 2010 Figure 45: A Tree of Life Polyhex Triple DiamondThis pattern was a challenge to conceive and a difficult polyhex puzzle to solve.I was looking to create a polyhex design that contained three identically shaped sectionswith 49 hexagons in each section. (3 x 49 = 147.)Thus, not only does the design represent the thirty-two components of the kabbalistic Treeof Life, but it also reflects the three ‘jubilee’ ring cycles of the 147 year master cycle ofJacob’s Wheel. 46
  46. 46. The Hexagonal Geometry of the Tree of Life November 17, 2010The number 147 keeps cropping up in my esoteric investigations and appears to be verysignificant–particularly in relation to Jacob’s Wheel. Figure 46: Tree of Life Triple Diamond - LabelledIdeally, in the design, I would have liked to have positioned the three yellow trihexes of thesupernal sefirot one in the centre of each of the three diamond shapes.I would also have liked to position the three tetrahexes of the middle pillar–that is, theTifaret, Yesod, and Malkut tetrahexes, in the upper diamond with the Keter trihex. TheHesed and Netzah tetrahexes would ideally be placed in the right-hand diamond along withthe Hockmah trihex, and the Geburah and Hod tetrahexes in the left-hand diamond with theBinah trihex. 47
  47. 47. The Hexagonal Geometry of the Tree of Life November 17, 2010If you think you can find a solution, why not give it a try! Figure 47: The Tree of Life Triple Diamond BlueprintIn the end, I resorted to rearranging the three 49 hexagon diamond sections into a newhorizontal configuration (as per the figures below) and was then able to find a solution thatnearly satisfied my specific polyhex placement requirements (as detailed previously).In the design below, I have positioned the three supernal sefirot trihexes in a manner thatreflects their respective Tree of Life placements.I have also aligned the seven lower sefirot tetrahexes according to their respective locationson the three pillars of the Tree of Life–that is, left, right, or centre. 48
  48. 48. The Hexagonal Geometry of the Tree of Life November 17, 2010The twenty-two pathway pentahexes have been arranged randomly on the basis ofwherever they will fit into the design. Figure 48: Tree of Life Triple Diamond Mandala – Horizontal Version Figure 49: The Horizontal Triple Diamond Mandala - Labelled 49
  49. 49. The Hexagonal Geometry of the Tree of Life November 17, 2010Closer to the Tree of Life Figure 50: Closer to the Tree of LifeAs you can see, the image above is closer in design and appearance to the actual kabbalisticTree of Life diagram.The ten sefirotic polyhexes are arranged according to the placements of their Tree of Lifecounterparts.The twenty-two pathway pentahexes, however, are randomly arranged. 50
  50. 50. The Hexagonal Geometry of the Tree of Life November 17, 2010A Pentahex Hexagonal Mandala (22 Pentahexes) Figure 51: A Pentahex Hexagonal MandalaThe figure above incorporates all the twenty-two pentahexes, but in a quite compacthexagonal form. 51
  51. 51. The Hexagonal Geometry of the Tree of Life November 17, 2010A Pentahex Triangular Mandala (22 Polyhexes) Figure 52: A Pentahex Triangular MandalaThe figure above arranges the twenty-two pentahexes in a triangular form with ten holes.The ten holes can be considered to symbolise the ten sefirot of the Tree of Life amidst thetwenty-two pentahex pathways. 52
  52. 52. The Hexagonal Geometry of the Tree of Life November 17, 2010A Pentahex Hexagonagram (22 Polyhexes) Figure 53: A Pentahex HexagonagramAgain, I have designed this figure (above) so as to contain all twenty-two of the Tree of Lifepathway pentahexes.I invented the word ‘hexagonagram’ to describe this figure because it combines both thehexagon and hexagram shapes. 53
  53. 53. The Hexagonal Geometry of the Tree of Life November 17, 2010 Figure 54: A Hexagonagram Figure 55: Combined Hexagon & Hexagram 54
  54. 54. The Hexagonal Geometry of the Tree of Life November 17, 2010Polyhex DivinationThe thirty-two polyhexes of the 3-hex to 5-hex polyhex groups can be used practically astools for meditation and divination.For the purpose of divination (and meditation) thirty-two polyhex tiles should be created orobtained. o 3-hex : 3 tiles o 4-hex : 7 tiles o 5-hex : 22 tiles Total: 32 tilesThe 1-hex and 2-hex polyhexes are not employed in divination because they represent thetwo primordial veils, and therefore are beyond the manifested Creation as symbolised bythe main body of the kabbalistic Tree of Life.The three 3-hex tiles should be coloured yellow and be inscribed with the numbers 1, 2, and3 (and possibly the Hebrew words for the supernal sefirot: Keter, Hockmah. and Binah).The seven 4-hex tiles should be coloured blue and be inscribed with the numbers 4 to 10(and possibly also the Hebrew words for the names of the seven lower sefirot).The twenty-two 5-hex tiles should be coloured red and be inscribed with the twenty-twoletters of the Hebrew alphabet.Alternatively, the thirty-two polyhexes can be coloured according to your own inspirationand taste. 55
  55. 55. The Hexagonal Geometry of the Tree of Life November 17, 2010During the process of divination the polyhex tiles are used in the same manner as Celticrune-stones–that is, they are placed in a cloth bag and drawn out singly, or scattered upon aflat surface in a cluster.There are virtually no limits to the methods of use of the thirty-two polyhexes duringdivination. Use your imagination to discover different ways of using them.For visual meditation purposes the polyhex tiles can be arranged into word-forms or shapes(as per my example designs above) and their sefirotic and pathway correspondencesmeditated upon during the construction process. 56
  56. 56. The Hexagonal Geometry of the Tree of Life November 17, 2010AppendixThe Polyhex Key to the PathwaysThe validity of the Tree of Life pathway formula (as expounded in this book) is alsosupported by my recent (circa 2010) research into sacred polyhex geometry. My newfindings in the field of polyhex geometry demonstrate that the hierarchical 3:7:12 division ofthe pathways is a natural result of the polyhex geometric model of Creation.The Geometric ModelThe manifestation of the kabbalistic Tree of Life involves the coming together of twoprimary principles called Spirit and Matter (or Form). The merging of these two principlesproduces a third middle principle called Consciousness (or more accurately, Soul). Themerging process can be illustrated very simply using two overlapping circles. (See the figurebelow.) Figure 56 : The Merging of Spirit & Form 57
  57. 57. The Hexagonal Geometry of the Tree of Life November 17, 2010Before the beginning of Time and Space the two circles are separated, but eventually theyapproach each other, intersect, and partly merge together. The area of their overlap formsthe Soul/Consciousness principle.To build the complex form that is the Tree of Life diagram we must replace the Spirit andForm circles with polyhexagons.The special polyhexagonal form upon which the Tree of Life is based is a structure thatconsists of nineteen individual hexagons arranged in a composite hexagonal shape. Thisspecial polyhexagon is characterized by two sub-groups of component hexagons. Firstly, agroup of seven hexagons, six of which are located around the perimeter of the polyhex, anda seventh located precisely at its centre. The second sub-group consists of twelve individualhexagons that fill the main body of the polyhex construct. Figure 57 : Tree of Life PolyhexagonYou may recognize the significance of the figures seven and twelve as coinciding with thenumber of Hebrew Double and Simple letters respectively. This is a very importantcorrespondence that we will examine more closely below.The Tree of Life polyhexagon is a special modification of another 19-Hex polyhex that I callthe Genesis polyhexagon. In my understanding, the Genesis polyhex is the natural organicform upon which the Tree of Life polyhexagon is based. The Tree of Life polyhexagon 58
  58. 58. The Hexagonal Geometry of the Tree of Life November 17, 2010rearranges the nineteen hexes of the Genesis polyhex so that the inner dynamics of theGenesis polyhexagon are more easily perceived. The Tree of Life polyhex reveals thestructure of the pathways of interconnection that exists between the various hexes of theGenesis polyhexagon.The Genesis polyhexagon resembles an organic cell. It has a nucleus and an outermembrane. Cosmically, we can understand the nucleus as composed of the sevenastrological planets (or planetary gods/logoi) while the outer membrane consists of thetwelve zodiacal signs (or major angelic/devic forces). The interaction between these twogroups of divine Beings produces All-That-Is. The Tree of Life polyhexagon reveals moreclearly how the two groups energetically interact with each other. Figure 58: The Genesis & Tree of Life PolyhexesThere are two types of Genesis polyhexagons—a Spirit polyhex, and a Form polyhex. Theyboth have a seven-fold nucleus surrounded by a twelve-fold membrane. Correspondingly,there are also two Tree of Life polyhexagons and it is these latter two polyhexes that we areconsidering in this chapter.The merging of the two Tree of Life polyhexagons produces interesting results. The Tree ofLife diagram is now clearly revealed in the composite hexagonal design (below right). Thethree white hexagons at the top of the yellow polyhexagon represent the three highest 59
  59. 59. The Hexagonal Geometry of the Tree of Life November 17, 2010sefirot of the Tree of Life—Keter, Hockmah, and Binah. They remain wholly detached fromthe Form principle polyhexagon (shaded blue).Only seven yellow hexagons remain visible in the main body of the Spirit polyhexagon.These represent the seven Hebrew Double letter pathways of the Tree (i.e. as I havedelineated them in this book). The correspondence to my original pathway findings isprecise as I will demonstrate shortly. Figure 59 : The Merging of the Spirit & Form PolyhexesIn numbering the component hexagons (below) I have placed all of the even numbers onthe right side of the polyhexagon and the odd numbers on the left. I have chosen to use thisconvention merely to identify the right side as ‘male’ (even) and the left side as ‘female’(odd). But it is also interesting to note that this convention shows the natural sequence ofthe lower sefirotic hexagons (shaded grey) progressing from Tifaret (4) to Hod (5) which iscontrary to the traditional numbering system which has Netzah (6) following numericallyafter Tifaret (4). Thus, this odd/even rule results in a more accurate presentation of the 60
  60. 60. The Hexagonal Geometry of the Tree of Life November 17, 2010‘hierarchy of the planes’1 because Hod (as Mercury) represents the lower mental plane andtherefore it should come before Netzah who as Venus symbolizes the astral plane. Figure 60 : The Tree of Life PolyhexagonThe three highest sefirot represent the sacred trinity of divine Powers. The seven Doubleletter pathways symbolize the seven Heavens/Palaces 2, the seven planetary Spirits (orLogoi), the seven angels who attend the Throne of God, etc. They represent supernalpowers guiding and administrating the lower worlds. Each of these seven Double letterpathways is the ensouling spiritual source of one of the seven lower sefirot (or ‘planetaryspheres’).The Form principle polyhexagon includes the seven lower sefirot (i.e. corresponding to theseven grey shaded hexagons) and the twelve Simple letter pathways (corresponding to thetwelve blue shaded hexagons above).1 That is, as described in the teachings of Theosophy.2 Hebrew: Shamayim (‫ ,)שמים‬and Hekhalot (‫.)היכלות‬ 61
  61. 61. The Hexagonal Geometry of the Tree of Life November 17, 2010An important consequence of the polyhexagon merging and overlapping process is that fiveof the Spirit principle pathways become concealed beneath the upper portion of the Formprinciple polyhexagon—that is, they become hidden below the surface of the newly formedSoul principle. My thinking is that these five concealed pathways correspond to the fiveFinal Hebrew letters—Kaf final (‫ ,)ך‬Maym final (‫ ,)ם‬Nun final (‫ ,)ן‬Peh final (‫ ,)ף‬and Tzaddiefinal (‫ .)ץ‬The implication of this geometric symbolism is fascinating. Figure 61 : The Soul Principle (Green)The Soul principle is formed as a result of the intersection, overlapping, and interaction ofthe Spirit and Form principles. This area of overlap is indicated in the diagram above by thefive green hexagons and their four bounding grey hexagons (i.e. numbered with whitenumerals). The soul is thus seen to be an admixture of Spirit and Form.The Soul principle is also seen to be a relatively impermanent principle (or state of being). Itmanifests only when the Spirit principle merges with the Form principle. The significantimplication of this is that when it comes time for the Spirit and Form principles to once againseparate themselves the Soul principle dissolves (or disassembles). In terms of ourgeometric symbolism, the area of intersection between the Spirit and Form polyhexagons 62
  62. 62. The Hexagonal Geometry of the Tree of Life November 17, 2010disappears. This process of separation occurs during what Theosophists call a period of‘pralaya’3.Your first feelings on hearing this proposition may include some disappointment. You mayfeel that the dissolution of your soul will lead to the loss of your identity (or your existenceas an individual). This is not truly the case however. The soul is merely a temporary vehiclethat allows the Spirit to involve itself in the substance of matter.4 Your spirit (i.e. monad)remains in existence during the period of Pralaya.Before the soul’s dissolution during Pralaya, its essence is absorbed into and stored in themonad. I believe this process is made possible by the existence of an occult mechanisminvolving the five Hebrew Final letter pathways.The five Final letter pathways are concealed beneath the five visible Simple letter pathwaysof the Soul principle. The five Finals belong to the Spirit principle polyhexagon, but they arecovered and concealed by the Simple letter ‘soul pathways’ of the overlapping Formprinciple. My theory is that the esoteric function of the five Final letter pathways is to gatherin and absorb the Knowledge that has been gained during the term of the soul’s existence.By ‘Knowledge’ is meant the combined Wisdom and Understanding (or ‘love-wisdom’) thatthe soul has acquired during its term of existence. These qualities are collected and storedwithin the monad during each period of Pralaya.Thus, when the Spirit polyhexagon detaches itself from the Form polyhexagon it carries withit the five concealed Final letter pathways because they are part of its fundamentalstructure. So, nothing of value is lost during a Pralaya.3 Pralaya (Sanskrit) [from pra away + the verbal root li to dissolve] Dissolving away, death, dissolution, as whenone pours water upon a cube of salt or sugar: the cube of salt or sugar vanishes in the water, dissolves, andchanges its form. So during a pralaya, matter crumbles or vanishes away into something else which is yet in it,surrounds it, and interpenetrates it. Pralaya is often defined as the state of latency or rest between twomanvantaras or great life cycles. [From: The Rakefet Theosophical Dictionary.]4 In fact, human-beings are destined to evolve beyond soul-based consciousness. The soul becomes obsolete thas a vehicle of consciousness at the 4 Initiation (called the Great Renunciation). It is then transcended andreplaced with ‘monadic’ consciousness. 63
  63. 63. The Hexagonal Geometry of the Tree of Life November 17, 2010 Figure 62 : Polyhexagon Tree of Life — HebrewThe Hebrew letters are arranged on the Spirit and Form polyhexagons as per the diagramabove.5The seven Double letter pathways are shaded yellow. The twelve Simple letter pathways areshaded blue. The five Final letters (coloured blue) are positioned on five yellow hexagonsnear the base of the Spirit polyhexagon (above left). They are bounded by four hexagonscontaining the letters of the Tetragrammaton—YHVH (orange lettering). This small subset ofhexagons bounded by YHVH (‫ )יהוה‬basically represents the monad (i.e. the monadic triad).The overlapping hexagons of the soul are merely a garment the monad wears when itdescends into the realm of ‘physical existence’.The twelve Simple letters are expressions of the Form principle, or Great Mother ‘Shekinah’principle.5 But note that the arrangement of the twelve Simple letters is somewhat flexible. 64
  64. 64. The Hexagonal Geometry of the Tree of Life November 17, 2010The seven Double letters have two variant forms—a ‘soft’ pathway form representingsupernal spiritual forces, and a ‘hard’ sefirotic form (i.e. identified by a dagesh, or dot)representing lower, more material projections of the supernal pathways.The five Finals are differentiated as follows:  Maym Final (‫ = )ם‬Mother letter  Kaf Final (‫ )ך‬and Peh Final (‫ = )ף‬Double letters  Nun Final (‫ )ן‬and Tzaddie Final (‫ = )ץ‬Simple lettersThus, all the three major Hebrew letter groups—Mothers, Doubles, and Simples, arerepresented in the five Finals.My current hypothesis is that Maym Final collects the essence of the two Mother letterpathways (i.e. the vertical pathways of Maym and Shin) that infuse the Form principlepolyhexagon. Similarly, Kaf Final and Peh Final gather the essence of the seven Double lettersefirot of the Form principle polyhexagon. Lastly, Nun Final and Tzaddie Final collect theessence of the twelve Simple letter pathways of the Form principle polyhexagon. So whenthe Spirit principle polyhexagon detaches and separates from the Form principle thethreefold essence of its experience within the substance of matter (i.e. as recorded by thesoul) is taken with it via the five Hebrew Final letter pathways.You may notice that there are only nineteen pathway hexagons included in the naturalstructure of the polyhex Tree of Life design. (See the diagram below.) Three of the twenty-two pathways of the Tree of Life appear to be missing. I have also omitted them from thetraditional drawing of the Tree of Life (below left). The missing three are the three Motherletter pathways—Alef, Maym, and Shin. 65
  65. 65. The Hexagonal Geometry of the Tree of Life November 17, 2010 Figure 63 : Tree of Life — Traditional & Polyhex DesignsMost kabbalistic commentators assign the three Mother letters to the three horizontalpathways of the Tree diagram 6, but my findings indicate that their more metaphysicallymeaningful placements are with the three vertical pathways of the Middle Pillar of the Treeof Life.In my view the Double letter Bayt (‫ )ב‬is assigned to the highest horizontal pathway (i.e.joining Hockmah with Binah) because it is responsible for formulating the first of the sevenlower sefirot—Da’at. The sefirah Da’at arises as a result of the interaction betweenHockmah and Binah—an interaction facilitated by the horizontal Bayt pathway. The hardform of the letter Bayt consequently emerges as the distinguishing archetype of the sefirahDa’at.The Tree of Life formation formula (as described in this book) posits the location of theHebrew letters on the sefirot and pathways of the Tree diagram in a descending hierarchythat follows the sequence 3:7:12—that is, Mothers-Doubles-Simples. For this reason, theformula cannot be reconciled with the traditional numeric method of assigning the letters tothe horizontal, vertical, and diagonal pathways. The old method places the three Motherletters on the three horizontal pathways, the seven Double letters on the seven vertical6 Without much explanation besides the obvious numerically based correspondence. 66
  66. 66. The Hexagonal Geometry of the Tree of Life November 17, 2010pathways, and the twelve Simple letters on the twelve diagonal pathways of the Treediagram.The traditional methodology appears, at first glance, to be most agreeable, but I believe it isan erroneous correspondence. The geometric framework of the Tree diagram is builtaccording to the fundamental esoteric ratio 3:7:12 because it represents a blueprint of thedivine Creation. The Hebrew alphabet is also constructed according to the 3:7:12 ratiobecause it represents the twenty-two divine archetypes. It does not necessarily followhowever, that the two are meant to be combined together purely on the numerical basis ofthis 3:7:12 ratio. In fact, the Sefer Yetzirah states: One on three, three on seven, seven on twelve, And all are bound, one to another. These are the twenty-two letters…7Obviously, a 3:7:12 hierarchical arrangement of the Hebrew letters is indicated by thisstatement. Clearly, it is a contradiction of the principles of the Sefer Yetzirah to widelyintermingle the three classes of Hebrew letters on the Tree diagram (i.e. as does theorthodox numerical letter-pathway arrangement).To put it simply, the Sefer Yetzirah is saying... o One (All-encompassing Ain Sof) on three (supernal sefirot) o Three (supernal sefirot) on seven (supernal pathways) o Seven (lower sefirot) on twelve (lower pathways) o And they are all interconnected(See the figure below.)7 Sefer Yetzirah, 6:5-6. 67
  67. 67. The Hexagonal Geometry of the Tree of Life November 17, 2010The Zohar is similarly supportive of the hierarchical approach. In its anthropomorphosis ofthe Tree of Life the Zohar associates the three highest sefirot with the head of Adam, andthe lower sefirot with his body. These correspondences combine well with the SeferYetzirah’s assignment of the seven Double letters to the eyes, ears, nostrils, and mouth. Figure 64 : The Hierarchical Arrangement of the Hebrew LettersLogically, the seven Double letter pathways (symbolizing seven physical attributes of thehuman head) need to be arranged upon the head of Adam at the top of the Tree of Lifediagram.The Sefer Yetzirah assigns the twelve Simple letter pathways to the torso, limbs, and internalorgans of the human body, and therefore logically these should be located within the lowerportion of the anthropomorphic Tree diagram—that is, below the head. 68
  68. 68. The Hexagonal Geometry of the Tree of Life November 17, 2010One of the key arguments for the old numerically-based arrangement is that the SeferYetzirah describes the twelve Simple letter pathways as ‘diagonal boundaries’ (‫אלכסון‬‫ 8.)גבולי‬It is true that twelve of the Tree of Life pathways are diagonal (or sloping), but thediagonal pathways do not resemble ‘boundaries’ on the Tree diagram. In the hierarchicalpathway arrangement however, the twelve Simple letter pathways do resemble diagonalboundaries (or ‘sloping sides’) because they form the twelve bounding sides of six adjacenttriangles that surround Tifaret in the lower portion of the Tree diagram. (See the diagramabove left. The twelve Simple letter pathways are coloured blue.)The three vertical Mother letter pathways unite the four sefirot of the Middle Pillar of theTree of Life, but they are not included in the polyhexagonal structure of the Tree. Thisreflects the mysterious nature of these three pathways. They represent the fluid essence ofBeing. Their movement, interaction, and intermingling produces the flowing stream ofawareness that we call consciousness, and necessarily also the illusion of time and space.Because of this, they move within and beneath the surface of consciousness and are notdirectly perceived by it. Only their effects are perceptible. What is inferred is thatconsciousness is not a fixed enduring principle, but rather, is a fluid process.Interestingly, in the polyhexagon Tree diagram, the Shin (Fire) pathway is invisibly locatedbeneath the Tet (Leo) hexagon. The Fire of Shin is associated with Nachash—the ‘KundaliniSerpent’. Tet also means serpent, and Leo (ruled by the Sun) is a fire sign that epitomizesthe fiery principle of consciousness.The Maym (Water) pathway is invisibly located beneath the Tzaddie (Aquarius) hexagon. Ofcourse, Aquarius is known as the ‘Water Carrier’ 9, and is also strongly associated with theconsciousness principle. These two signs, Leo and Aquarius, form the vertical axis of theFixed zodiacal cross.The Alef (Air) pathway is invisibly located beneath the Bayt (Saturn) pathway hexagon. Thisis appropriate because Bayt is chief of the seven Double letters, and Alef is chief of the threeMother letters. Also, Alef is thought to stand invisibly behind Bayt during the process ofCreation (which is why Berashit10 begins with a Bayt and not an Alef).8 Sefer Yetzirah, 6:1. Note that it does not, however, describe the three Mother letter pathways as‘horizontal’, or the seven Double letter pathways as ‘vertical’.9 The Tzaddie pathway carries the Water of Maym from the sefirah Hesed to the sefirah Geburah.10 That is, the Book of Genesis. 69
  69. 69. The Hexagonal Geometry of the Tree of Life November 17, 2010You may have noticed in the diagrams that the two Simple letter pathways Qof (Pisces) andSameck (Sagittarius) are placed differently in this polyhex arrangement—i.e. compared tothe arrangement I described in earlier chapters. The reason for this slight deviation is thatalthough normally these two pathways extend from Hesed and Geburah to Yesod, they arealso capable of extending to Da’at (i.e. from Hesed and Geburah). This only occurs duringthe process of ‘divine inspiration’ (i.e. conscious contact with the monad)—an experiencethat rarely happens in an average person’s lifetime. In the polyhexagon Tree diagram thesetwo pathways are placed in their elevated positions adjacent to Da’at. Thus, this particularpathway configuration reflects the conscious alignment strived for by Disciples (or Tzadikim)on the Path. The state of consciousness that this configuration represents grows strongerand more stable as a disciple continues on his/her path of inner development.For disciples and initiates, the Fire (Shin, ‫ )ש‬of creative inspiration flows from Da’at toGeburah (i.e. representing the Abstract Mind) along the Sameck (Sagittarius) pathway. TheWater (Maym, ‫ )מ‬of spiritual intuition flows from Da’at to Hesed (i.e. representing theIntuitive Mind) along the Qof (Pisces) pathway.While the Sameck and Qof pathways remain exclusively attached to the sefirah Yesod theysymbolize the presence in a person’s mind of worldly illusions (Sagittarius) and glamours(Pisces). These illusions are fostered within, and perpetuated by the collective mindset ofmundane human society. They effectively fill the pathways of Sameck and Qof with adarkness that blocks access to the higher sefirot Geburah and Hesed. But as a person freesthemselves from the glamours and illusions of society they simultaneously becomeconsciously open to the higher sefirot and thus to divine impressions entering into andthrough the human soul (i.e. flowing from Da’at to Hesed and Geburah).The divine inspiration that is received through the pathways of Sameck and Qof is expressedand applied (in the mundane world) via the lower and complementary pathways of Zayn(Gemini) and Yud (Virgo). Together these four pathways constitute the Mutable Cross of theHeavens (i.e. the cross of mutable zodiacal signs). On the Tree of Life, the primary creative-evolutionary purpose of the Mutable Cross is to positively transform the human expressionof the psychic influence of the astrological Moon (i.e. as it is felt within the sefirah Yesod).The main evolutionary function of the four signs (and pathways) of the Cardinal Cross is tostabilize the expression of the astrological Sun upon the Path of Righteousness. Thus, on theTree of Life diagram we see the four cardinal sign pathways anchoring and holding the 70
  70. 70. The Hexagonal Geometry of the Tree of Life November 17, 2010sefirah Tifaret (i.e. the Sun) upon the Middle Pillar of the Tree. Their role is to hold Tifaretsteady so that it doesn’t drift too far towards the left-hand Pillar of Severity, or conversely,too far towards the right-hand Pillar of Mercy. As long as Tifaret’s central position upon theMiddle Pillar is maintained then it retains direct access to ‘HaShem’ 11—that is, to the forcesof Shin (‫ )ש‬and Maym (‫ )מ‬flowing through the ‘invisible’ Middle Pillar pathways. When thiscondition is fulfilled, a human-being becomes a Tzadik—i.e. one who is faithfully alignedupon his/her ‘path of righteousness’. Figure 65: Tree of Life : 3+7+12 PathwaysThe four signs (and pathways) of the Fixed, or Cherubic Cross are responsible for refining thefour main faculties12 of human consciousness as represented by the four ‘directional’sefirot—Hesed, Geburah, Hod, and Netzah. These faculties are associated with the fourelements and the four magical implements—the Cup, the Wand, the Sword, and the Disk (orPentacle). The four cherubic ‘animals’ represent active intelligent expressions of the fouresoteric elements. They signify powerful forces that are responsible for the diversity of lifeand life experience on our planet. On the Tree diagram their four pathways form a square11 Hebrew – The ‘Name’, spelled Shin-Maym, referring to the divine Name of God.12 That is, the intuitive mind, the abstract mind, the rational mind, and the astral body (or desire mind). 71
  71. 71. The Hexagonal Geometry of the Tree of Life November 17, 2010enclosure whose four walls intersect at the four ‘corner’ sefirot—Hesed, Geburah, Netzah,and Hod.The 3-7-12 hierarchical structure of the Tree of Life diagram inclines me to think that anupdate is needed to the original polyhex Tree model that I described in my book TheHexagonal Geometry of the Tree of Life. The model I depicted in that book was constructedas follows…  3-Hex (x3) = 3 supernal sefirot  4-Hex (x7) = 7 lower sefirot  5-Hex (x22) = 22 pathwaysThe above arrangement is useful as a basic model of the Tree of Life, but if a moremetaphysically accurate presentation is desired then a change is needed because (as hasbeen demonstrated) the seven supernal Double letter pathways (i.e. located in the upperpart of the Tree diagram) manifest before the seven lower sefirot and the twelve Simpleletter pathways. The seven Double letter pathways should therefore be associated with theseven tetrahexes (i.e. 4-hexes).The revised model looks like this…  3-Hex (x3) = 3 supernal sefirot  4-Hex (x7) = 7 supernal pathways (Doubles)  5-Hex (x22) = 7 lower sefirot (Doubles) + 12 lower pathways (Simples) + 3 Mother letter pathwaysAlthough the original model appears simpler, the revised model represents a more accuratedepiction of the Tree of Life manifestation process. The formation of the Tree of Life beginswith the appearance of the three supernal sefirot. Then the seven supernal pathwaysemerge between them. And then finally the seven lower sefirot and twelve lower pathwaysmanifest. 72
  72. 72. The Hexagonal Geometry of the Tree of Life November 17, 2010Thus, it is more logical to have the simpler polyhexes (i.e. those with fewer componenthexagons) arranged upon the upper portion of the Tree, and the more complex polyhexes(i.e. the 5-Hexes) assigned to the lower section (coloured red in the diagram). Figure 66: The Polyhex Tree of Life (Revised)In the diagram13 the three trihexes are coloured yellow, the seven tetrahexes are colouredblue, and the twenty-two pentahexes are coloured red. The twelve pentahexes that I haveascribed to the twelve Simple letters are (as explained in my book 14) geometrically differentfrom the other ten pentahexes in the 5-hex group because they are able to ‘tile the plane’ inthe most simple manner possible. As shown in the diagram above, the remaining tenpentahexes (of the group) are assigned to the seven Double letters and the three Motherletters.The three Mother letter pathways are displayed on the right-hand side of the diagram. Theyare concealed beneath the other pathways of the Tree. They flow into the Tree of Life in amanner similar to the entry of the soul into the confines of its prepared physical vehicle. The13 This arrangement of the polyhexes is only one of many possible variations.14 See: The Hexagonal Geometry of the Tree of Life. 73
  73. 73. The Hexagonal Geometry of the Tree of Life November 17, 2010three Mother letter pathways galvanize and energize the sefirot of the Middle Pillar, andthey trigger the commencement of the creative-evolutionary process that occurs within thebranches of the Tree. Thank you for reading this book. Please click the lotus if you’d like to make a donation! Thank you! 74
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