Difference between revisions of "Snowflake Assignment"

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(Created page with "=Racket Image Library= [https://docs.racket-lang.org/teachpack/2htdpimage.html Racket Image Library Documentation] ==placement== : [https://docs.racket-lang.org/teachpack/2htd...")
 
 
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[https://en.wikipedia.org/wiki/L-system Lindenmayer system]
 +
[[File:Dragon trees.jpg|thumb]]
 +
 
=Racket Image Library=
 
=Racket Image Library=
 
[https://docs.racket-lang.org/teachpack/2htdpimage.html Racket Image Library Documentation]
 
[https://docs.racket-lang.org/teachpack/2htdpimage.html Racket Image Library Documentation]
 
==placement==
 
==placement==
−
: [https://docs.racket-lang.org/teachpack/2htdpimage.html#%28def._%28%28lib._2htdp%2Fimage..rkt%29._beside%29%29 beside]
+
: [https://docs.racket-lang.org/teachpack/2htdpimage.html#%28def._%28%28lib._2htdp%2Fimage..rkt%29._beside%2Falign%29%29 beside/align]
−
: [https://docs.racket-lang.org/teachpack/2htdpimage.html#%28def._%28%28lib._2htdp%2Fimage..rkt%29._above%29%29 above]
+
: [https://docs.racket-lang.org/teachpack/2htdpimage.html#%28def._%28%28lib._2htdp%2Fimage..rkt%29._flip-vertical%29%29 flip-vertical]
−
: [https://docs.racket-lang.org/teachpack/2htdpimage.html#%28def._%28%28lib._2htdp%2Fimage..rkt%29._overlay%29%29 overlay] [https://docs.racket-lang.org/teachpack/2htdpimage.html#%28def._%28%28lib._2htdp%2Fimage..rkt%29._overlay%2Falign%29%29 overlay/align]
+
: [https://docs.racket-lang.org/teachpack/2htdpimage.html#%28def._%28%28lib._2htdp%2Fimage..rkt%29._above%2Falign%29%29 above/align]
 +
: [https://docs.racket-lang.org/teachpack/2htdpimage.html#%28def._%28%28lib._2htdp%2Fimage..rkt%29._overlay%2Falign%2Foffset%29%29 overlay/align/offset]
 
: [https://docs.racket-lang.org/teachpack/2htdpimage.html#%28def._%28%28lib._2htdp%2Fimage..rkt%29._rotate%29%29 rotate]
 
: [https://docs.racket-lang.org/teachpack/2htdpimage.html#%28def._%28%28lib._2htdp%2Fimage..rkt%29._rotate%29%29 rotate]
−
==shapes==
 
−
: [https://docs.racket-lang.org/teachpack/2htdpimage.html#%28def._%28%28lib._2htdp%2Fimage..rkt%29._triangle%29%29 triangle]
 
−
: [https://docs.racket-lang.org/teachpack/2htdpimage.html#%28def._%28%28lib._2htdp%2Fimage..rkt%29._circle%29%29 circle]
 
−
: [https://docs.racket-lang.org/teachpack/2htdpimage.html#%28def._%28%28lib._2htdp%2Fimage..rkt%29._square%29%29 square]
 
−
: [https://docs.racket-lang.org/teachpack/2htdpimage.html#%28def._%28%28lib._2htdp%2Fimage..rkt%29._rectangle%29%29 rectangle]
 
−
: [https://docs.racket-lang.org/teachpack/2htdpimage.html#%28def._%28%28lib._2htdp%2Fimage..rkt%29._frame%29%29 frame]
 
  
−
=Snowflake=
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==line==
−
==Symmetric==
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: [https://docs.racket-lang.org/teachpack/2htdpimage.html#%28def._%28%28lib._2htdp%2Fimage..rkt%29._line%29%29 line]
−
[https://en.wikipedia.org/wiki/Sierpi%C5%84ski_triangle Sierpiński Triangle]
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 +
==empty-image==
 +
: [https://docs.racket-lang.org/teachpack/2htdpimage.html#%28def._%28%28lib._2htdp%2Fimage..rkt%29._empty-image%29%29 empty-image]
 +
 
 +
=Spiral Demo=
 +
<youtube>AIGeMxka0MQ</youtube>
 +
 
 +
=Code to Implement=
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==Snowflake==
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<nowiki>(define (snowflake len iter is-flipped)
 +
  (raise (error 'not-yet-implemented)))))
  
−
<nowiki>(define (sierpinski-triangle side-length n)
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(define (snowflake-symmetric len iter)
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   (raise 'not-yet-implemented #t))</nowiki>
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   (snowflake len iter #f))
  
−
{| class="wikitable" style="text-align: center; "
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(define (snowflake-flipped len iter)
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|[[File:Snowflake-symmetric_0.svg|200px]]
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  (snowflake len iter #t))</nowiki>
−
|[[File:Snowflake-symmetric_1.svg|200px]]
 
−
|[[File:Snowflake-symmetric_2.svg|200px]]
 
−
|[[File:Snowflake-symmetric_3.svg|200px]]
 
−
|[[File:Snowflake-symmetric_4.svg|200px]]
 
−
|-
 
−
|n=0
 
−
|n=1
 
−
|n=2
 
−
|n=3
 
−
|n=4
 
−
|}
 
  
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==Flipped==
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===Symmetric===
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<nowiki>(define (sierpinski-carpet side-length n)
 
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  (raise 'not-yet-implemented #t))</nowiki>
 
 
{| class="wikitable" style="text-align: center; "
 
{| class="wikitable" style="text-align: center; "
−
|[[File:Snowflake-flipped_0.svg|200px]]
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|[[File:Snowflake-symmetric_0.svg]]
−
|[[File:Snowflake-flipped_1.svg|200px]]
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|[[File:Snowflake-symmetric_1.svg]]
−
|[[File:Snowflake-flipped_2.svg|200px]]
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|[[File:Snowflake-symmetric_2.svg]]
−
|[[File:Snowflake-flipped_3.svg|200px]]
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|[[File:Snowflake-symmetric_3.svg]]
−
|[[File:Snowflake-flipped_4.svg|200px]]
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|[[File:Snowflake-symmetric_4.svg]]
 
|-
 
|-
−
|n=0
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|iter=0
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|n=1
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|iter=1
−
|n=2
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|iter=2
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|n=3
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|iter=3
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|n=4
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|iter=4
 
|}
 
|}
  
−
=Branch=
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===Flipped===
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[https://en.wikipedia.org/wiki/Cantor_set Cantor set]
 
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<nowiki>(define (cantor-stool width height n)
 
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  (raise 'not-yet-implemented #t))</nowiki>
 
−
 
 
 
{| class="wikitable" style="text-align: center; "
 
{| class="wikitable" style="text-align: center; "
−
|[[File:Branch_0.svg|200px]]
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|[[File:Snowflake-flipped_0.svg]]
−
|[[File:Branch_1.svg|200px]]
+
|[[File:Snowflake-flipped_1.svg]]
−
|[[File:Branch_2.svg|200px]]
+
|[[File:Snowflake-flipped_2.svg]]
−
|[[File:Branch_3.svg|200px]]
+
|[[File:Snowflake-flipped_3.svg]]
−
|[[File:Branch_4.svg|200px]]
+
|[[File:Snowflake-flipped_4.svg]]
−
|[[File:Branch_5.svg|200px]]
 
−
|[[File:Branch_6.svg|200px]]
 
−
|[[File:Branch_7.svg|200px]]
 
 
|-
 
|-
−
|n=0
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|iter=0
−
|n=1
+
|iter=1
−
|n=2
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|iter=2
−
|n=3
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|iter=3
−
|n=4
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|iter=4
−
|n=5
 
−
|n=6
 
−
|n=7
 
 
|}
 
|}

Latest revision as of 08:49, 17 November 2020

Lindenmayer system

Dragon trees.jpg

Racket Image Library

Racket Image Library Documentation

placement

beside/align
flip-vertical
above/align
overlay/align/offset
rotate

line

line

empty-image

empty-image

Spiral Demo

Code to Implement

Snowflake

(define (snowflake len iter is-flipped)
  (raise (error 'not-yet-implemented)))))

(define (snowflake-symmetric len iter)
  (snowflake len iter #f))

(define (snowflake-flipped len iter)
  (snowflake len iter #t))

Symmetric

Snowflake-symmetric 0.svg Snowflake-symmetric 1.svg Snowflake-symmetric 2.svg Snowflake-symmetric 3.svg Snowflake-symmetric 4.svg
iter=0 iter=1 iter=2 iter=3 iter=4

Flipped

Snowflake-flipped 0.svg Snowflake-flipped 1.svg Snowflake-flipped 2.svg Snowflake-flipped 3.svg Snowflake-flipped 4.svg
iter=0 iter=1 iter=2 iter=3 iter=4
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