際際滷

際際滷Share a Scribd company logo
Patterns, Pattern Application, & Edge Courtesy of  Bear Kaufmann
Concentric Patterns
Concentric: Growth Tree Rings
Concentric: Growth Through Accretion Agate
Too Hot Too  Cold You Are Here Solar System:  Not To Scale Concentric: Radiating & Diffusing Energy
油
油
Radial Patterns Collection Lupine -  Lupinus polyphyllus
Spiral Patterns Medusas 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 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
Phi 1.6180339887498948482045868343656381177203091798057628621354486227052604628189044970720720418939113748475408807538689175212663386222353693179318006076672635433389086595939582905638322661319928290267880675208766892501711696207032221043216269548626296313614438149758701220340805887954454749246185695
Oak Tree -  Quercus spp. Spirals in 3D: Helixes
Argentinian Coast Spirals: Turbulent Flow 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, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line. - Beno樽t B. Mandelbrot
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 Leaves are also found in groups of Fibonacci numbers. Branching plants always branch off into groups of Fibonacci numbers.
Beech Tree Branching: Dendritic
Low Diffusion Low Friction Higher Diffusion High Friction Most Diffusion For Least Friction Branches: For Diffusion and Accumulation
Branches: oldest oaks have 7 orders
Branches: Watersheds and Tributaries Oakland Hills - Digital Elevation Model
Branches: Water Flow Jordan earthobservatory.nasa.gov
Networks
earthobservatory.nasa.gov
Centralized Decentralized Network Topology Adapted from  Linked  by A. Barabsi
油

More Related Content

Patterns edgesystems

Editor's Notes

  • #2: 1. Intro 2. Questions: a. Limited time. If we have time Ill answer them after the discussion. 3. Why Patterns? a. Better designs b. Understand phenomena c. Patterns, pattern language i. repeating themes throughout design, by humans, or in nature
  • #3: Zones Urban planning - the urban core
  • #4: Tree rings dendrochronology
  • #5: Like tree rings, different medium
  • #6: All scales
  • #9: Sectors Many plants in dry ecosystems develops forms to concentrate water near their roots Bus Rapid Transit arterial systems
  • #10: Galaxies Sunflowers Turbulence
  • #11: No matter how large, the shape remains the same Accreting shell on the outer lip to grow
  • #12: Tenacity Flexiblity/Spring
  • #16: Some trees grow in a helical form Classic Example - DNA - compact information storage
  • #17: Algae growth off Agentina Ocean currents, Mixing of Two Concentrations
  • #18: Mushroom forms
  • #25: Mixing / Entropy
  • #26: Compare with human intestines
  • #27: Streamline forms from fluids
  • #29: in lichens, at reef edges A very small notch or indentation
  • #31: 2x more edge. More food. More fish.
  • #37: Hired by the British govt to measure the coastline of Britian. Surface Area At each level of detail, the length got larger, approaching infinity. 1. Pro - more interface for the amount of area, like intestines a. Humid/Temperate Climates - Trees with 10-30 acres of edge. b. Con - more edge = more material, material conserving designs (like geodesic, bubbles) Arid Climates - Barrel Cactus, round like a geodesic dome, little edge, low water loss. In desert climates: make deep pond with low surface area.
  • #40: Edge or Surface Area Boundaries, Interfaces betweeen various conditions Most fertile areas are edges (conceptually, and in the environmental, intertidal zones)
  • #41: Pressure = winds Elevation = erosion, water speed The sweet spot. Walls. Soft or Sharp Adding slower transitions for varied species
  • #43: Branches never reconnect Evolutionary decent? Gene swapping. Microbial life?
  • #45: Neurons - dendrites - dentrites link together to form network Branches - high average cost from point to point Slow communication: bureaucracy
  • #46: Common form in nature Why? What are the reasons? Flow could be in reverse.
  • #47: Orders - each size Rivlet, Creek, Stream, River, Estuary
  • #48: Water - the path of least resistance Doesnt store water Flows both ways: Water Sediment Downstream / Salmon Nutrients Upstream Nitrogen
  • #49: Note the stream lines. Low gradients?
  • #50: Contraction Expansive clay social networks mycelium
  • #51: Are we recognizing patterns yet? The US at night. Long exposure.
  • #52: The Internet. Which is Resiliant? Scale-free/Small world = few hops to any node in the network Scale-free can scale without a loss in quality Explain bell and power law curves. Hubs and Keystone species