Fractals

Fractals

Project Type: Presentation (ppt)

Downloads: 0 - 10 Wednesday 15th March 2017 Report

Fractals - Overview

------------ PAGE 1 ------------ Fractals ------------ PAGE 2 ------------ What is a fractal? A fractal is a geometric figure that can be broken down into parts; each part is a reduced- sized copy of the whole. A Fractal Uses the idea of “ Self - Similarity” to make its design ------------ PAGE 3 ------------ Self Similarity In mathematics, an object is self- similar if it is exactly ( or approximately) similar to itself In other words, the whole object has the same shape as one or more of its parts. ------------ PAGE 4 ------------ Self Similarity ------------ PAGE 5 ------------ Examples of Fractals… The Koch Snowflake - Helge von Koch ------------ PAGE 6 ------------ Examples of Fractals… The Koch Snowflake/ Curve ------------ PAGE 7 ------------ Examples of Fractals… The Sierpinski Gasket aka The Sierpinski Triangle - Wac³aw Sierpiñski ------------ PAGE 8 ------------ Examples of Fractals… The Sierpinski Carpet ------------ PAGE 9 ------------ Examples of Fractals… The Cantor Set - Georg Cantor ------------ PAGE 10 ------------ Examples of Fractals… The Dragon Curve Aka the Heighway Dragon ( John Heighway ) ------------ PAGE 11 ------------ Examples of Fractals… The Dragon Curve Aka the Heighway Dragon ( John Heighway ) ------------ PAGE 12 ------------ Examples of Fractals… The Mandelbrot Set ------------ PAGE 13 ------------ Examples of Fractals… Mandelbrot Zoom Videos Zoom Video # 1 ( Slow) Zoom Video # 2 ( Fast) ------------ PAGE 14 ------------ Fractal Art ------------ PAGE 15 ------------ Fractal Art ------------ PAGE 16 ------------ Fractal Art ------------ PAGE 17 ------------ Fractal Art ------------ PAGE 18 ------------ Fractal Art ------------ PAGE 19 ------------ Fractal Video Clip ------------ PAGE 20 ------------ Now, you are going to create one of the fractals that we saw in the slides…
Back to top of page