Draw a path between sunflower points instead of dotting along

src/shimmers/sketches.cljs

@@ -244,6 +244,7 @@
    shimmers.sketches.subliminal
    shimmers.sketches.substrate
    shimmers.sketches.sunflower
+   shimmers.sketches.sunflower-points
    shimmers.sketches.superposition
    shimmers.sketches.superposition-mirrored
    shimmers.sketches.terrain-grid

src/shimmers/sketches/sunflower_points.cljs

@@ -0,0 +1,42 @@
+(ns shimmers.sketches.sunflower-points
+  (:require
+   [clojure.math :as math]
+   [shimmers.common.svg :as csvg :include-macros true]
+   [shimmers.common.ui.controls :as ctrl]
+   [shimmers.common.ui.svg :as usvg]
+   [shimmers.math.equations :as eq]
+   [shimmers.math.vector :as v]
+   [shimmers.sketch :as sketch :include-macros true]
+   [thi.ng.geom.vector :as gv]
+   [thi.ng.math.core :as tm]))
+
+(def width 800)
+(def height 600)
+(defn rv [x y]
+  (gv/vec2 (* width x) (* height y)))
+
+(defn shapes [{:keys [points alpha]}]
+  (let [center (rv 0.5 0.5)
+        radius (* 0.45 (min width height))
+        exterior (min (int (* alpha (math/sqrt points))) points)
+        interior (- points exterior)]
+    (csvg/path (into [[:M center]]
+                     (for [i (range points)
+                           :let [r (if (< i interior) (/ (float i) (inc interior)) 1.0)
+                                 theta (* eq/TAU (/ i (eq/sqr tm/PHI)))]]
+                       [:L (v/+polar center (* r radius) theta)])))))
+
+(defn scene [{:keys [scene-id]}]
+  (csvg/svg-timed {:id scene-id
+                   :width width
+                   :height height
+                   :stroke "black"
+                   :fill "white"
+                   :stroke-width 0.5}
+    (shapes {:points 256 :alpha 1.0})))
+
+(sketch/definition sunflower-points
+  {:created-at "2024-09-30"
+   :tags #{}
+   :type :svg}
+  (ctrl/mount (usvg/page sketch-args scene)))