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The superformula in clojure: http://en.wikipedia.org/wiki/Superformula
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(defn setup [] | |
(smooth) | |
(no-fill)) | |
(defn superformula-point [m n1 n2 n3 phi] | |
(let [t1 (pow (abs (cos (/ (* m phi) 4.0))) n2) | |
t2 (pow (abs (sin (/ (* m phi) 4.0))) n3) | |
r (pow (+ t1 t2) (/ 1 n1))] | |
(if (= 0 (abs r)) | |
[0 0] | |
(let [r (/ 1 r) | |
x (* r (cos phi)) | |
y (* r (sin phi))] | |
[x y])))) | |
(defn superformula [m n1 n2 n3] | |
(let [phi (/ TWO-PI 360)] | |
(mapv #(superformula-point m n1 n2 n3 (* phi %)) | |
(range 0 361)))) | |
;; the first four shapes | |
(def super-shapes [[3 5 18 18] | |
[6 20 7 18] | |
[4 2 4 13] | |
[7 3 4 17]]) | |
(defn draw [] | |
(frame-rate 1) | |
(background 0) | |
(no-fill) | |
(stroke-weight 2) | |
(stroke 0xff 0x99 0x66 0x96) | |
(with-translation [(/ (width) 2) (/ (height) 2)] | |
(with-rotation [(- (* 0.3 (frame-count)))] | |
(let [scaler 80 ; some shapes are too big or small | |
points (apply superformula (nth super-shapes 3))] ;; change this for other shapes | |
(begin-shape) | |
(doseq [p points] | |
(apply curve-vertex (map (partial * scaler) p))) | |
(end-shape))))) | |
(defsketch superformula-sketch | |
:title "Form+Code Superformula" | |
:setup setup | |
:draw draw | |
:size [500 500]) |
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