patterns edge systems
DESCRIPTION
Design from pattens to details.TRANSCRIPT
![Page 1: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/1.jpg)
Patterns,Pattern Application,
& Edge
Courtesy of Bear Kaufmann
![Page 2: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/2.jpg)
Concentric Patterns
![Page 3: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/3.jpg)
Concentric:Growth
Tree Rings
![Page 4: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/4.jpg)
Concentric:Growth Through Accretion
Agate
![Page 5: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/5.jpg)
Too
Hot
Too
Cold
You
Are
Here
Solar System: Not To Scale
Concentric:Radiating & Diffusing Energy
![Page 6: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/6.jpg)
Radial Patterns
Lupine - Lupinus polyphyllus
![Page 7: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/7.jpg)
Spiral Patterns
Medusa’s Head Cactus - Euphorbia caput-medusae
![Page 8: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/8.jpg)
Spirals:For Growth
Tide Pool
![Page 9: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/9.jpg)
Spirals in 3D:Helixes
Chayote Squash - Sechium edule
![Page 10: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/10.jpg)
The SpiralNote that each new square has a side which is as long as the sum of the latest two square's sides.
![Page 11: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/11.jpg)
A M B
• 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.
One Way to Understand It
![Page 12: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/12.jpg)
Phi•1.6180339887498948482045868343656381177203091798057628621354486227052604628189044970720720418939113748475408807538689175212663386222353693179318006076672635433389086595939582905638322661319928290267880675208766892501711696207032221043216269548626296313614438149758701220340805887954454749246185695…
![Page 13: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/13.jpg)
Oak Tree - Quercus spp.
Spirals in 3D:Helixes
![Page 14: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/14.jpg)
Argentinian Coast
Spirals:Turbulent Flow
earthobservatory.nasa.gov
![Page 15: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/15.jpg)
Interlocking Spirals:von Karman vortex streets
earthobservatory.nasa.gov
![Page 16: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/16.jpg)
Ideas for Application
![Page 17: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/17.jpg)
Ideas for Application
![Page 18: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/18.jpg)
Ideas for Application
![Page 19: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/19.jpg)
Interlocking Spirals
![Page 20: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/20.jpg)
Spirals in TimeDisturbance
Wave Patterns
![Page 21: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/21.jpg)
Spirals in TimeDisturbance
Wave Patterns
![Page 22: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/22.jpg)
Turbulence
![Page 23: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/23.jpg)
Streamlines
earth.google.com
Alaska
![Page 24: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/24.jpg)
Effects of Flow
![Page 25: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/25.jpg)
Flow
![Page 26: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/26.jpg)
Crenulations
![Page 27: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/27.jpg)
Crenulations:Maximize Edge
![Page 28: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/28.jpg)
Crenulations:Maximize Edge
![Page 29: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/29.jpg)
Crenulations:Habitat
![Page 30: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/30.jpg)
Surface Area to Volume
![Page 31: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/31.jpg)
Bucky
![Page 32: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/32.jpg)
Fractals:fractus = part
![Page 33: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/33.jpg)
Fractals:systems inside systems
patterns within patterns
![Page 34: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/34.jpg)
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
![Page 35: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/35.jpg)
Edible Fractals
![Page 36: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/36.jpg)
Fractals:Spirals
![Page 37: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/37.jpg)
Edge
The interface between two ecosystems represents a third, more complex,
system which combines both.
![Page 38: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/38.jpg)
Gradients:the rate of transition
Pressure
Temperature
Acidity
Elevation
& other properties
![Page 39: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/39.jpg)
Branches & Networks
Grape Leaf
![Page 40: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/40.jpg)
Branches
Fennel
![Page 41: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/41.jpg)
Leaves and Branching• Leaves are also found in groups of Fibonacci numbers.
• Branching plants always branch off into groups of Fibonacci numbers.
![Page 42: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/42.jpg)
Beech Tree
Branching:Dendritic
![Page 43: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/43.jpg)
Low Diffusion
Low Friction
Higher Diffusion
High Friction
Most Diffusion
For
Least Friction
Branches:For Diffusion and Accumulation
![Page 44: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/44.jpg)
Branches:oldest oaks have 8 orders
![Page 45: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/45.jpg)
Branches:Watersheds and Tributaries
Oakland Hills - Digital Elevation Model
![Page 46: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/46.jpg)
Branches:Water Flow
Jordan earthobservatory.nasa.gov
![Page 47: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/47.jpg)
Networks
![Page 48: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/48.jpg)
earthobservatory.nasa.gov
![Page 49: Patterns Edge Systems](https://reader035.vdocuments.mx/reader035/viewer/2022062703/554e9b0cb4c90526358b53ef/html5/thumbnails/49.jpg)
Centralized Decentralized
Network Topology
Adapted from Linked by A. Barabàsi