PPT-Fractals

Basic Concept Entities are composed of features that are reproduced at different scales And whole entities can be described as a sum of smaller features that have the same characteristics Typically based on lines and examines line segments that have the same pattern. FractalFoundationorg Copyright 2010 Fractal Foundation all rights reserved Fractal Rivers Teachers Intro NM Math Standards KG42 Find and describe geometric shapes in nature or architecture K12A13 Recognize reproduce describe extend and creat FractalFoundationorg Copyright 2010 Fractal Foundation all rights reserved The Koch Curve Fractal Teachers Intro NM Math Standards 1G32 Create simple symmetrical shapes and pictures 1G33 Recognize and describe the symmetric characteristics of design andelbrot The ractal Geometry of ature reeman ew York 1177 fractals have experienced considerable success in quantifying the complex structure exhibited by many natural patterns and have capturedtheimaginationsofscientistsandartistsalikeWithever4wide Lokeshwarri S.K. April 2011 Fractals is a fragmented geometric shape that can be broken into parts which are similar i n shape to the whole. On one of those lazy days when you were lying on your back thisnotionmorethoroughlyinSection1.3.Notonlyaredoublingmetricsinterestingobjectsintheirownright,buttheyarealsoofpracticalconcern.Growthrestrictionsareverynaturalandarethoughttooccurinreal-worldphenome Arcadia is actually a regional district in Greece, which is located on the Peloponnesian peninsula. In Greek mythology, it was the home of Pan, the god of pastoralism and hunting. He was known for seducing goddesses and nymphs. He wandered the hills and mountains of Arcadia, chasing after such nymphs. Arcadia was meant to be a form of paradise, one that all supernatural creatures inhabited (and not one for the deceased).. By. Leslie Ryan. Common Terms. Iteration-. To . repeat a pattern multiple times, usually with a series of steps. . Reflection-. An image that is thrown back from light, heat, or sound. Like an image you see in a mirror. . Play the Chaos Game . Learn to Create . Your Own Fractals. Jumping Seeds. Start: . Choose a corner of the triangle. This is your . first seed. .. Jump:. . Choose . a . corner . (that is not your seed). . Begue. ). The Heat Equation on Fractals and other Discrete Domains. Outline. Introduction to . Fractals. Contractions maps and the self-similar identity. The Graph Laplacian. The Heat Equation. The Cycle . Anthony Barcellos. American River College. CMC. 3. December 2012. Three Interviews. Three Guys talk about Math. Anthony Barcellos. American River College. CMC. 3. December 2012. My Near-Great Life. Anthony Barcellos. Geoengineering. . by . Injection . of . Solid Particles. : . Risks . and . Benefits. . Preliminary Assessment of . Al. 2. O. 3. . Geoengineering. :. Microphysics, Simplified RF, Ozone impacts . No climate impacts or feedbacks. Newton’s method. Need initial guess and derivative. Quadratic convergence. Proof via . taylor’s. theorem. x_n+1 = . x_n. – f(. x_n. )/f(. x_n. ). Derivation from point-slope y = m*(x – x_0) + y_0:. by: Saeed . Heidary. 29 Feb 2013. Outline:. Chaos in Deterministic Dynamical systems. Sensitivity to initial conditions. Lyapunov. exponent. Fractal geometry. Chaotic time series prediction. Chaos in Deterministic Dynamical systems. Part 1: In which we attempt to describe what a fractal is, because people will ask (but perhaps they will not really want to know the answer).. Then I introduce the 2. nd. most photogenic fractal of the class, and attempt to convince you it is cool anyways..