Difference between revisions of "Discrete self-similar fractals"

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(Created page with "==Discrete Self-Similar Fractals== Due to their complex, aperiodic nature, discrete self-similar fractals have provided an interesting set of infinite shapes to explore. {...")
 
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  {{multiple image
 
  {{multiple image
  | align = center
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  | align = left
  | width = 500
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  | image_gap = 20
 
  | footer = Example discrete self-similar fractals. For each, the generator is on the left, and subsequent stages are shown to the right.
 
  | footer = Example discrete self-similar fractals. For each, the generator is on the left, and subsequent stages are shown to the right.
 
  | image1 = Sierpinski-triangle-5stages.png
 
  | image1 = Sierpinski-triangle-5stages.png
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| width1 = 565
 
  | alt1 = Sierpinski triangle
 
  | alt1 = Sierpinski triangle
 
  | caption1 = First 5 stages of the Sierpinski triangle
 
  | caption1 = First 5 stages of the Sierpinski triangle
 
  | image2 = Sierpinski-carpet-3stages.png
 
  | image2 = Sierpinski-carpet-3stages.png
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| width2 = 400
 
  | alt2 = Sierpinski carpet
 
  | alt2 = Sierpinski carpet
 
  | caption2 = First 3 stages of the Sierpinski carpet
 
  | caption2 = First 3 stages of the Sierpinski carpet

Revision as of 14:55, 26 June 2024

Discrete Self-Similar Fractals

Due to their complex, aperiodic nature, discrete self-similar fractals have provided an interesting set of infinite shapes to explore.

Sierpinski triangle
First 5 stages of the Sierpinski triangle
Sierpinski carpet
First 3 stages of the Sierpinski carpet
Example discrete self-similar fractals. For each, the generator is on the left, and subsequent stages are shown to the right.