The document discusses different types of patterns found in nature, including concentric, radial, spiral, fractal, branching, and network patterns. It provides examples of each type of pattern, such as tree rings, agate formations, hurricane spirals, coastlines, leaves, and river networks. The document also discusses how these patterns arise from natural processes and how they can be applied in human designs.
12. The Spiral Note that each new square has a side which is as long as the sum of the latest two square's sides .
13. 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
36. 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
#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
#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
#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