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Ingy döt Net 2023-07-01 11:58:00 -04:00
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#lang racket
(require metapict)
; rot: rotate d degrees around point p, where c is a point or curve
(def (rot d p c)
(rotated-aboutd d p c))
(define (koch a b n)
(match n
[0 (draw (curve a -- b))]
[_ (def 1/3ab (med 1/3 a b))
(def 2/3ab (med 2/3 a b))
(draw (koch a 1/3ab (- n 1))
(koch 1/3ab (rot 60 1/3ab 2/3ab) (- n 1))
(koch (rot 60 1/3ab 2/3ab) 2/3ab (- n 1))
(koch 2/3ab b (- n 1)))]))
(define (snow n)
(def a (pt 0 0))
(def b (pt 1 0))
(def c (rot 60 a b))
(draw (koch b a n)
(koch c b n)
(koch a c n)))
(scale 4 (snow 2))