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Patterns, Pattern Application, & Edge Courtesy of  Bear Kaufmann
Concentric Patterns
Concentric: Growth Tree Rings
Concentric: Growth Through Accretion Agate
Concentric: Radiating & Diffusing Energy Too Hot Too  Cold You Are Here Solar System:  Not To Scale
Radial Patterns Lupine -  Lupinus polyphyllus
Spiral Patterns Medusa’s Head Cactus -  Euphorbia caput-medusae
Spirals: For Growth Tide Pool
Spirals in 3D: Helixes Chayote Squash -  Sechium edule
The Spiral Note that each new square has a side which is as long  as the sum of the latest  two square's sides .
A  M  B <ul><li>The line AB is divided at point M so that the ratio of the two parts, the smaller MB to the larger AM is t...
Phi <ul><li>1.618033988749894848204586834365638117720309179805762862135448622705260462818904497072072041893911374847540880...
Spirals in 3D: Helixes Oak Tree -  Quercus spp.
Spirals: Turbulent Flow Argentinian Coast earthobservatory.nasa.gov
Interlocking Spirals: von Karman vortex streets earthobservatory.nasa.gov
Ideas for Application
Ideas for Application
Ideas for Application
Interlocking Spirals
Spirals in Time Disturbance Wave Patterns
Spirals in Time Disturbance Wave Patterns
Turbulence
Streamlines earth.google.com Alaska
Effects of Flow
Flow
Crenulations
Crenulations: Maximize Edge
Crenulations: Maximize Edge
Crenulations: Habitat
Surface Area to Volume
Bucky
Fractals: fractus = part
Fractals: systems inside systems patterns within patterns
Measuring Coastline: Mandelbrot, Fractals, and Edge earth.google.com “ Clouds are not spheres, mountains are not cones, co...
Edible Fractals
Fractals: Spirals
Edge The interface between two ecosystems represents a third, more complex, system which combines both.
Gradients: the rate of transition Pressure Temperature Acidity Elevation & other properties
Branches & Networks Grape Leaf
Branches Fennel
Leaves and Branching <ul><li>Leaves are also found in groups of Fibonacci numbers. </li></ul><ul><li>Branching plants alwa...
Branching: Dendritic Beech Tree
Branches: For Diffusion and Accumulation Low Diffusion Low Friction Higher Diffusion High Friction Most Diffusion For Leas...
Branches: oldest oaks have 8 orders
Branches: Watersheds and Tributaries Oakland Hills - Digital Elevation Model
Branches: Water Flow Jordan earthobservatory.nasa.gov
Networks
earthobservatory.nasa.gov
Network Topology Centralized Decentralized Adapted from  Linked  by A. Barabàsi
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Patterns Edge Systems

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Design from pattens to details.

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Patterns Edge Systems

  1. 1. Patterns, Pattern Application, & Edge Courtesy of Bear Kaufmann
  2. 2. Concentric Patterns
  3. 3. Concentric: Growth Tree Rings
  4. 4. Concentric: Growth Through Accretion Agate
  5. 5. Concentric: Radiating & Diffusing Energy Too Hot Too Cold You Are Here Solar System: Not To Scale
  6. 6. Radial Patterns Lupine - Lupinus polyphyllus
  7. 7. Spiral Patterns Medusa’s Head Cactus - Euphorbia caput-medusae
  8. 8. Spirals: For Growth Tide Pool
  9. 9. Spirals in 3D: Helixes Chayote Squash - Sechium edule
  10. 10. The Spiral Note that each new square has a side which is as long as the sum of the latest two square's sides .
  11. 11. A M B <ul><li>The line AB is divided at point M so that the ratio of the two parts, the smaller MB to the larger AM is the same as the ratio of the larger part AM to the whole AB. </li></ul>One Way to Understand It
  12. 12. Phi <ul><li>1.6180339887498948482045868343656381177203091798057628621354486227052604628189044970720720418939113748475408807538689175212663386222353693179318006076672635433389086595939582905638322661319928290267880675208766892501711696207032221043216269548626296313614438149758701220340805887954454749246185695… </li></ul>
  13. 13. Spirals in 3D: Helixes Oak Tree - Quercus spp.
  14. 14. Spirals: Turbulent Flow Argentinian Coast earthobservatory.nasa.gov
  15. 15. Interlocking Spirals: von Karman vortex streets earthobservatory.nasa.gov
  16. 16. Ideas for Application
  17. 17. Ideas for Application
  18. 18. Ideas for Application
  19. 19. Interlocking Spirals
  20. 20. Spirals in Time Disturbance Wave Patterns
  21. 21. Spirals in Time Disturbance Wave Patterns
  22. 22. Turbulence
  23. 23. Streamlines earth.google.com Alaska
  24. 24. Effects of Flow
  25. 25. Flow
  26. 26. Crenulations
  27. 27. Crenulations: Maximize Edge
  28. 28. Crenulations: Maximize Edge
  29. 29. Crenulations: Habitat
  30. 30. Surface Area to Volume
  31. 31. Bucky
  32. 32. Fractals: fractus = part
  33. 33. Fractals: systems inside systems patterns within patterns
  34. 34. Measuring Coastline: Mandelbrot, Fractals, and Edge earth.google.com “ Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line.” - Benoît B. Mandelbrot
  35. 35. Edible Fractals
  36. 36. Fractals: Spirals
  37. 37. Edge The interface between two ecosystems represents a third, more complex, system which combines both.
  38. 38. Gradients: the rate of transition Pressure Temperature Acidity Elevation & other properties
  39. 39. Branches & Networks Grape Leaf
  40. 40. Branches Fennel
  41. 41. Leaves and Branching <ul><li>Leaves are also found in groups of Fibonacci numbers. </li></ul><ul><li>Branching plants always branch off into groups of Fibonacci numbers. </li></ul>
  42. 42. Branching: Dendritic Beech Tree
  43. 43. Branches: For Diffusion and Accumulation Low Diffusion Low Friction Higher Diffusion High Friction Most Diffusion For Least Friction
  44. 44. Branches: oldest oaks have 8 orders
  45. 45. Branches: Watersheds and Tributaries Oakland Hills - Digital Elevation Model
  46. 46. Branches: Water Flow Jordan earthobservatory.nasa.gov
  47. 47. Networks
  48. 48. earthobservatory.nasa.gov
  49. 49. Network Topology Centralized Decentralized Adapted from Linked by A. Barabàsi

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