Difference between revisions of "Sierpinski Assignment"

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   (spacer-rect (image-width img) (image-height img)))</nowiki>
 
   (spacer-rect (image-width img) (image-height img)))</nowiki>
  
=Sierpiński=
+
=Code To Implement=
{{RacketToImplement|sierpinski|sierpinski-triangle<br>sierpinski-carpet|sierpinski_and_cantor}}
+
{{RacketToImplement|sierpinski|sierpinski-triangle<br>sierpinski-carpet|sierpinski}}
 
==Triangle==
 
==Triangle==
 
[https://en.wikipedia.org/wiki/Sierpi%C5%84ski_triangle Sierpiński Triangle]
 
[https://en.wikipedia.org/wiki/Sierpi%C5%84ski_triangle Sierpiński Triangle]
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|n=4
 
|n=4
 
|}
 
|}
 
=Cantor=
 
[https://en.wikipedia.org/wiki/Cantor_set Cantor set]
 
 
{{RacketToImplement|cantor|cantor-stool|sierpinski_and_cantor}}
 

Latest revision as of 20:36, 27 March 2023

Motivation

We will recursively generate some images with the Racket Image Library.

Code To Investigate

placement

shapes

Spacer

; fully transparent rectangle
(define (spacer-rect w h)
  (rectangle w h "outline" (color 0 0 0 0)))

; fully transparent image the size of img
(define (spacer-image img)
  (spacer-rect (image-width img) (image-height img)))

Code To Implement

file: src/main/racket/sierpinski/sierpinski.rkt Racket-logo.svg
functions: sierpinski-triangle
sierpinski-carpet

Triangle

Sierpiński Triangle

(define (sierpinski-triangle side-length n)
  (raise 'not-yet-implemented #t))
Sierpinski-triangle 0.svg Sierpinski-triangle 1.svg Sierpinski-triangle 2.svg Sierpinski-triangle 3.svg Sierpinski-triangle 4.svg
n=0 n=1 n=2 n=3 n=4

Note: this has a remarkably clean solution. It is almost as if the Racket Image Library was created to build the Sierpiński Triangle.

Carpet

(define (sierpinski-carpet side-length n)
  (raise 'not-yet-implemented #t))
Sierpinski-carpet 0.svg Sierpinski-carpet 1.svg Sierpinski-carpet 2.svg Sierpinski-carpet 3.svg Sierpinski-carpet 4.svg.png
n=0 n=1 n=2 n=3 n=4