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Recursion,
Variation,
Symmetry

    &

Survival
Another Big Idea




                   !
Another Big Idea
Another Big Idea




                        !
                     Look for the
                   BIG-EYED-DEER
Another Big Idea




                           !
                   Ahem… Look for the
                       BIG IDEA
S
             C
          TI
        E
     TH
  ES
A             Van Gough’s Barber
CS
            I
         ET
       H
    ST
  E
A




                   Today: The Parthenon in
                           Athens
Today: The Parthenon in
     Athens (Int.)
Capitol Rotunda
The White House
U.S. Supreme Court
The ’Burbs
Rendition of the Parthenon
“Beauty is Truth and Truth Beauty, That is All Ye Know on Earth and
                   All Ye Need to Know.” Keats
A Post-Modern
Journey Toward
      Truth
      and
   Advice for
    Progress
STATIC
   &
DYNAMIC

QUALITY
Two Archetypes
STATIC
           Same
          Stable
     Status Quo
          Theme
         Logical
         Chorus
       Classical
  Establishment
            Past
      Recursive
           Finite
     Traditional
   Symmetrical
   Republican ?
STATIC DYNAMIC
           Same     Different
          Stable    Unstable
     Status Quo     Change
          Theme     Plot
         Logical    Emotional
         Chorus     Verse
       Classical    Romantic
  Establishment     Populist
            Past    Future
      Recursive     Linear
           Finite   Infinite
     Traditional    Untradtional
   Symmetrical      Amorphous
   Republican ?     Democrat ?
STATIC DYNAMIC



TASK: Provide an archetypal analysis of
this scene using the meaning of the
circular and spiral imagery in your
interpretation.
STATIC DYNAMIC
       College
                     Democracy              Content
Work
                                   Government
                    Form
           Order
                                                  Chaos
                           Heart
    Living                             Dead
                                              Head
                              Rest
             Revolution
Pepsi ®                                    Kids
          Back
                               Front
                 Stagnation
                                          Home
  Coke ®
                    Monarchy
STAGNATION




CHAOS
OR
DEATH
“In the survival
of favoured
individuals and
races, during
the constantly-    WHO SAID IT?
recurring
struggle for
existence, we
see a powerful
and ever-acting
form of
selection.”
“In the survival of
favoured
individuals and
races, during the
constantly-
recurring
struggle for
existence, we
see a powerful
and ever-acting
form of
selection.”
                      Charles Darwin (1809-1892)
Nature’s PARADOX:
      The ORDER is
       dependant on
          CHANGE.
Much like at
The ORDER is also
  dependant on
    CHANGE
AUXESIS
I wish I had
     an
MUTATION
RECURSION
    and
 VARIATION
   IN NATURE
SYNESTHESIA

    Q: If we
    could see
    an echo,
    what would
    it look like?
Recursion
is the property or quality
     of self-reference.
TONY SAYS…

Recursion is the ULTIMATE
EXTREME in SYMMETRY

      Any original
       variation is
     duplicated and
     never changes.
ST
                           ST
                              YL
                              YL
Q: Which literary




                                 E
                                 E
                                 AL
                                 AL
term is the most




                                    ER
                                    ER
recursive?




                                      T!
                                       T!
        ( TWO POINTS to YOU if you are
         the first to raise your hand and
               answer correctly… )
A:
Epizeuxis
Symmetry
Dolly the sheep
clone dies young
The first clone
 was named,
 after me…
It was called


Dolly Lamb “A”
         ‘Cause I’m
        Number One!
Scientists Succeed in
     Cloning Human Embryo

Most cloning is carried out by a
   process known as nuclear
 transfer, where the nucleus is
   removed from an egg and
replaced with the nucleus of the
 animal to be cloned. Here, the
nucleus is removed from a cell.

 NPR’S All Things Considered
            February 12, 2004
Click for Fractal Video
Click for Self-Recursion loop




All M.C. Escher works © Cordon Art-Baarn-the Netherlands




    Development II 1939 woodcut in brown, grey-green and black, printed from 3 blocksIterative
Transcript of scene from Being John Malkovich

Malkovich:            Excuse me, exactly what type of service does this company provide?
Man:                  You get to be John Malkovich for 15 minutes. 200 clams.
Malkovich:            I see
(Malkovich runs to the front of the line. Man shouts “And no cutting, by the way!” A fight
ensues, Craig breaks it up)
Craig:                Break it up, Break it up! Oh, I hope we didn’t hurt you
Malkovich:            Get inside! What the hell is going on?
Craig:      John! Mr. Malkovich! Sir! (Maxine laughs) . . . Mr. Malkovich I think I can explain
Malkovich:            Yeah! Explain!
Craig:      My name is Craig Schwartz, and we operate a little business here that simulates
for our clientele the experience, well, well, of being you, actually.
Malkovich:            Simulates?
Craig:                Yeah, after a fashion.
Malkovich:            What exactly does that mean?
Craig:                Well, it’s hard to describe.
Malkovich:            I want to do it, then.
Craig:                Well, I’m sure it pales in comparison to the actual experience.
Malkovich:            I WANT TO DO IT!
Craig:                Well, right now, Mr. Hiroshi is in the tube
Maxine: Let him do it, Craig.
Craig:                Of course, right this way Mr. Malkovich, compliments of the house.
(Malkovich enters his “portal”)
Craig:                What happens when a man goes in his own portal?
Maxine: We’ll see…
(Malkovich is sucked down the tube
     and enters his own mind)
(Malkovich Malkovich Malkovich Malkovich Malkovich Malkovich
 Malkovich Malkovich Malkovich Malkovich Malkovich Malkovich
 Malkovich Malkovich Malkovich Malkovich Malkovich Malkovich
                         Malkovich )
Recursion, Symmetry and Numerals




SCHNAPPSZAHL???
Recursion, Symmetry and Numerals

   SCHNAPPSZAHL is

A German word for a number containing
a striking pattern of unexpected
symmetry.



We have no English counterpart.
Recursion, Symmetry and Numerals

      SCHNAPPSZAHL
A German word for a number containing a
striking pattern of unexpected symmetry :

Birthdate:           04-04-44
Time:                11:11 a.m.
Price tag:           $19.91
What is…
SYN TAX
SYN TAX

1 a : the way in which linguistic elements (as
words) are put together to form constituents (as
phrases or clauses)

…

2 : a connected or orderly system : harmonious
                                                   Merriam-
arrangement of parts or elements
                                                   Webster
                                                   Dictionary
SYNTAX: from the Greek roots…


  SYN                      TAX


                      Ταξις
 συν
TOGETHER             SEQUENCE /
                       ORDER
Symmetry, Recursion and SYNTAX
               S
             C
          TI
        E
     TH
  ES
A       TASK: Create a creative,
     artistic rendering of your
   assigned literary term. Your
    artwork must clearly reflect
   the symmetry denoted in the
                term.
Symmetry, Recursion and SYNTAX
  TASK: Create an artistic rendering of your assigned term. Your
  artwork MUST clearly reflect the symmetry denoted in the term.



                                             iamb
  alliteration
                                             diazeugma
  anadiplosis
                                             prozeugma
  anaphora
                                             hypozeugma
  assonance
                                             epizeuxis
  auxesis
                                             polysyndeton
  blank verse
  chiasmus
                                             palindrome
  epistrophe
                                             trochee
Symmetry
   &
VARIATION
  IN NATURE
Symmetry
Symmetry in nature
Symmetry without Recursion?
The Persistence of Memory
                                        1931
Symmetry without Recursion?
Salvador Dali
  Surrealist Painter
     (1904-1989)
Why might
 underlying
 form be so
   innately
appealing to
     us?
LIGHT, SOUND
      &
MATTER have

Common Origins
S
             IC
           S
        HY
     AP
   T
ME
BIG EYEDEA from PLATO:
Man, nature and the universe are connected
in orderly ways not readily apparent to the
senses.
BIG   EYEDEA ???
Q: What did the
  Dalai Lama
  say to the
hotdog vendor?
A: Make
  me One
   with
everything.
?
A Salvador-Dali-Llama
And another…
BIG IDEA:
Man, nature and the universe are connected
in orderly ways not readily apparent to the
senses.
Synesthesia: from the
Synesthesia
    Greek roots

    syn (together)


aesthesis (perception)
Now it’s time for a poem
    that really stinks…
“SYNESTHESIA”
               Ties can be loud
           Cheese can be sharp
                A note can Bb .
But can you smell a rainbow harp?
CHROMATIC




1. A musical scale ascending or
descending by semitones (half-steps).

2. Anything relating to or produced by color.
CHROMATIC
1. A musical scale ascending or
descending by semitones (half-steps).

2. Anything relating to or produced by color.

 — ORIGIN Greek khromatikos, from
khroma ‘colour, chromatic scale’.
CHROMATIC
1. A musical scale ascending or
descending by semitones (half-steps).

2. Anything relating to or produced by color.

 — ORIGIN Greek khromatikos, from
khroma ‘colour, chromatic scale’.




     Sound n’ colors have
      always been “tied”                          BOTH are
                                                 measured in
          together.                             WAVELENGTHS
                                                     .
Ya.

Even Zins Zee
 Beeg Bang.
Very Distraughtening
                              from Lumpy Gravy

I HEAR YOU’VE BEEN HAVING TROUBLE WITH PIGS
AND PONIES…

Everything in the universe is, is, is
made of one element,
Which is a note, a single note.
Atoms are really vibrations, you know.
Which are extensions of the big note,
everything’s one note.
Everything, even the ponies.
The note, however, is the ultimate
power,
…

                                                      Frank Zappa
You mean just we know that?
                                                 Post-Modern Composer
Right!                                                 (1940-1993)
SEEING SOUND
W. Kandinksy
 (1866-1944)




           Arnold Schoenberg
                  (1874-1951)
S
             C
          TI         Yes, there really is
        E
     TH            symmetry and balance
  ES
A
                      in this “mess.”




                             Modernist Composer
        Arnold Schoenberg
               (1874-1951)
A key signature is a
                 traditional way of
                establishing order in
                    a composition
                allowing for uniform
                  harmony among
                     instruments.


                     Modernist Composer
Arnold Schoenberg
       (1874-1951)
But the key thing, is
            that there is no key…




Arnold Schoenberg
       (1874-1951)
…signature in my
                 atonal music.




Arnold Schoenberg
       (1874-1951)
A      From Greek:. a-, short for apo
                 quot;away from.quot;
                            Gk. tonos quot;vocal pitch,

          TONAL             raising of voice,
                            accent, key in music,quot;
                            originally quot;a stretching,
                            taut string.”




Arnold Schoenberg
       (1874-1951)
Q: So, without using the
              old rules, how can a
             modernist composer
            create order and avoid
                  total chaos?




Arnold Schoenberg
       (1874-1951)
A: Go back to nature as the
            Greeks did, but this time, look
            around for some new natural,
            proportional rules to follow.




Arnold Schoenberg
       (1874-1951)
12-Tone Scale




                     Modernist Composer
Arnold Schoenberg
       (1874-1951)
Original tone row in “Prime Form”
                     from Suite, Opus 25, Schoenberg




Arnold Schoenberg
       (1874-1951)
Retrograde
      Form


 Notes are in
reverse as in
    a mirror
      image.
Inverted        Retrograde
   Form      Inverted Form




“Upside    “Backwards and
 Down”       Upside Down”
Original
      




           Arnold Schoenberg
                  (1874-1951)
Must a work
  What’s the BIG
                                sound or look
          IDEA?

                               pretty for it to
                                be beautiful?


Opus 25


          Arnold Schoenberg
                 (1874-1951)
Nope.
Opus 25


          Arnold Schoenberg
                 (1874-1951)
And being
BEAUTIFUL
  does not
 necessarily
   mean…
… being
    Pretty.


“Let no one ever
      come
 to you without
  leaving better
  and happier. ”
Beautiful 1910-1997

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Greek Power Point1.4 Segment 2

  • 4. Another Big Idea ! Look for the BIG-EYED-DEER
  • 5. Another Big Idea ! Ahem… Look for the BIG IDEA
  • 6. S C TI E TH ES A Van Gough’s Barber
  • 7.
  • 8. CS I ET H ST E A Today: The Parthenon in Athens
  • 9. Today: The Parthenon in Athens (Int.)
  • 14. Rendition of the Parthenon
  • 15. “Beauty is Truth and Truth Beauty, That is All Ye Know on Earth and All Ye Need to Know.” Keats
  • 16. A Post-Modern Journey Toward Truth and Advice for Progress
  • 17. STATIC & DYNAMIC QUALITY
  • 18.
  • 20. STATIC Same Stable Status Quo Theme Logical Chorus Classical Establishment Past Recursive Finite Traditional Symmetrical Republican ?
  • 21. STATIC DYNAMIC Same Different Stable Unstable Status Quo Change Theme Plot Logical Emotional Chorus Verse Classical Romantic Establishment Populist Past Future Recursive Linear Finite Infinite Traditional Untradtional Symmetrical Amorphous Republican ? Democrat ?
  • 22. STATIC DYNAMIC TASK: Provide an archetypal analysis of this scene using the meaning of the circular and spiral imagery in your interpretation.
  • 23. STATIC DYNAMIC College Democracy Content Work Government Form Order Chaos Heart Living Dead Head Rest Revolution Pepsi ® Kids Back Front Stagnation Home Coke ® Monarchy
  • 25.
  • 26.
  • 28. “In the survival of favoured individuals and races, during the constantly- WHO SAID IT? recurring struggle for existence, we see a powerful and ever-acting form of selection.”
  • 29. “In the survival of favoured individuals and races, during the constantly- recurring struggle for existence, we see a powerful and ever-acting form of selection.” Charles Darwin (1809-1892)
  • 30. Nature’s PARADOX: The ORDER is dependant on CHANGE.
  • 32. The ORDER is also dependant on CHANGE
  • 34.
  • 35.
  • 36. I wish I had an
  • 38.
  • 39.
  • 40.
  • 41. RECURSION and VARIATION IN NATURE
  • 42. SYNESTHESIA Q: If we could see an echo, what would it look like?
  • 43. Recursion is the property or quality of self-reference.
  • 44. TONY SAYS… Recursion is the ULTIMATE EXTREME in SYMMETRY Any original variation is duplicated and never changes.
  • 45. ST ST YL YL Q: Which literary E E AL AL term is the most ER ER recursive? T! T! ( TWO POINTS to YOU if you are the first to raise your hand and answer correctly… )
  • 47.
  • 48.
  • 50.
  • 51.
  • 52.
  • 53.
  • 54.
  • 56. The first clone was named, after me…
  • 57. It was called Dolly Lamb “A” ‘Cause I’m Number One!
  • 58. Scientists Succeed in Cloning Human Embryo Most cloning is carried out by a process known as nuclear transfer, where the nucleus is removed from an egg and replaced with the nucleus of the animal to be cloned. Here, the nucleus is removed from a cell. NPR’S All Things Considered February 12, 2004
  • 60.
  • 61.
  • 62.
  • 63. Click for Self-Recursion loop All M.C. Escher works © Cordon Art-Baarn-the Netherlands Development II 1939 woodcut in brown, grey-green and black, printed from 3 blocksIterative
  • 64. Transcript of scene from Being John Malkovich Malkovich: Excuse me, exactly what type of service does this company provide? Man: You get to be John Malkovich for 15 minutes. 200 clams. Malkovich: I see (Malkovich runs to the front of the line. Man shouts “And no cutting, by the way!” A fight ensues, Craig breaks it up) Craig: Break it up, Break it up! Oh, I hope we didn’t hurt you Malkovich: Get inside! What the hell is going on? Craig: John! Mr. Malkovich! Sir! (Maxine laughs) . . . Mr. Malkovich I think I can explain Malkovich: Yeah! Explain! Craig: My name is Craig Schwartz, and we operate a little business here that simulates for our clientele the experience, well, well, of being you, actually. Malkovich: Simulates? Craig: Yeah, after a fashion. Malkovich: What exactly does that mean? Craig: Well, it’s hard to describe. Malkovich: I want to do it, then. Craig: Well, I’m sure it pales in comparison to the actual experience. Malkovich: I WANT TO DO IT! Craig: Well, right now, Mr. Hiroshi is in the tube Maxine: Let him do it, Craig. Craig: Of course, right this way Mr. Malkovich, compliments of the house. (Malkovich enters his “portal”) Craig: What happens when a man goes in his own portal? Maxine: We’ll see…
  • 65. (Malkovich is sucked down the tube and enters his own mind) (Malkovich Malkovich Malkovich Malkovich Malkovich Malkovich Malkovich Malkovich Malkovich Malkovich Malkovich Malkovich Malkovich Malkovich Malkovich Malkovich Malkovich Malkovich Malkovich )
  • 66. Recursion, Symmetry and Numerals SCHNAPPSZAHL???
  • 67. Recursion, Symmetry and Numerals SCHNAPPSZAHL is A German word for a number containing a striking pattern of unexpected symmetry. We have no English counterpart.
  • 68. Recursion, Symmetry and Numerals SCHNAPPSZAHL A German word for a number containing a striking pattern of unexpected symmetry : Birthdate: 04-04-44 Time: 11:11 a.m. Price tag: $19.91
  • 70. SYN TAX 1 a : the way in which linguistic elements (as words) are put together to form constituents (as phrases or clauses) … 2 : a connected or orderly system : harmonious Merriam- arrangement of parts or elements Webster Dictionary
  • 71. SYNTAX: from the Greek roots… SYN TAX Ταξις συν TOGETHER SEQUENCE / ORDER
  • 72. Symmetry, Recursion and SYNTAX S C TI E TH ES A TASK: Create a creative, artistic rendering of your assigned literary term. Your artwork must clearly reflect the symmetry denoted in the term.
  • 73. Symmetry, Recursion and SYNTAX TASK: Create an artistic rendering of your assigned term. Your artwork MUST clearly reflect the symmetry denoted in the term. iamb alliteration diazeugma anadiplosis prozeugma anaphora hypozeugma assonance epizeuxis auxesis polysyndeton blank verse chiasmus palindrome epistrophe trochee
  • 74. Symmetry & VARIATION IN NATURE
  • 77.
  • 78.
  • 80. The Persistence of Memory 1931 Symmetry without Recursion?
  • 81. Salvador Dali Surrealist Painter (1904-1989)
  • 82. Why might underlying form be so innately appealing to us?
  • 83. LIGHT, SOUND & MATTER have Common Origins
  • 84. S IC S HY AP T ME
  • 85. BIG EYEDEA from PLATO: Man, nature and the universe are connected in orderly ways not readily apparent to the senses.
  • 86. BIG EYEDEA ???
  • 87. Q: What did the Dalai Lama say to the hotdog vendor?
  • 88. A: Make me One with everything.
  • 89. ?
  • 92. BIG IDEA: Man, nature and the universe are connected in orderly ways not readily apparent to the senses.
  • 93. Synesthesia: from the Synesthesia Greek roots syn (together) aesthesis (perception)
  • 94. Now it’s time for a poem that really stinks…
  • 95. “SYNESTHESIA” Ties can be loud Cheese can be sharp A note can Bb . But can you smell a rainbow harp?
  • 96. CHROMATIC 1. A musical scale ascending or descending by semitones (half-steps). 2. Anything relating to or produced by color.
  • 97. CHROMATIC 1. A musical scale ascending or descending by semitones (half-steps). 2. Anything relating to or produced by color. — ORIGIN Greek khromatikos, from khroma ‘colour, chromatic scale’.
  • 98. CHROMATIC 1. A musical scale ascending or descending by semitones (half-steps). 2. Anything relating to or produced by color. — ORIGIN Greek khromatikos, from khroma ‘colour, chromatic scale’. Sound n’ colors have always been “tied” BOTH are measured in together. WAVELENGTHS .
  • 99. Ya. Even Zins Zee Beeg Bang.
  • 100.
  • 101. Very Distraughtening from Lumpy Gravy I HEAR YOU’VE BEEN HAVING TROUBLE WITH PIGS AND PONIES… Everything in the universe is, is, is made of one element, Which is a note, a single note. Atoms are really vibrations, you know. Which are extensions of the big note, everything’s one note. Everything, even the ponies. The note, however, is the ultimate power, … Frank Zappa You mean just we know that? Post-Modern Composer Right! (1940-1993)
  • 103. W. Kandinksy (1866-1944) Arnold Schoenberg (1874-1951)
  • 104. S C TI Yes, there really is E TH symmetry and balance ES A in this “mess.” Modernist Composer Arnold Schoenberg (1874-1951)
  • 105. A key signature is a traditional way of establishing order in a composition allowing for uniform harmony among instruments. Modernist Composer Arnold Schoenberg (1874-1951)
  • 106. But the key thing, is that there is no key… Arnold Schoenberg (1874-1951)
  • 107. …signature in my atonal music. Arnold Schoenberg (1874-1951)
  • 108. A From Greek:. a-, short for apo quot;away from.quot; Gk. tonos quot;vocal pitch, TONAL raising of voice, accent, key in music,quot; originally quot;a stretching, taut string.” Arnold Schoenberg (1874-1951)
  • 109. Q: So, without using the old rules, how can a modernist composer create order and avoid total chaos? Arnold Schoenberg (1874-1951)
  • 110. A: Go back to nature as the Greeks did, but this time, look around for some new natural, proportional rules to follow. Arnold Schoenberg (1874-1951)
  • 111. 12-Tone Scale Modernist Composer Arnold Schoenberg (1874-1951)
  • 112. Original tone row in “Prime Form” from Suite, Opus 25, Schoenberg Arnold Schoenberg (1874-1951)
  • 113. Retrograde Form Notes are in reverse as in a mirror image.
  • 114. Inverted Retrograde Form Inverted Form “Upside “Backwards and Down” Upside Down”
  • 115.
  • 116. Original  Arnold Schoenberg (1874-1951)
  • 117. Must a work What’s the BIG sound or look IDEA? pretty for it to be beautiful? Opus 25 Arnold Schoenberg (1874-1951)
  • 118. Nope. Opus 25 Arnold Schoenberg (1874-1951)
  • 119. And being BEAUTIFUL does not necessarily mean…
  • 120. … being Pretty. “Let no one ever come to you without leaving better and happier. ”