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Clayton Shonkwiler

[GIF] Follow Through (Morphing 11-pointed star)

Clayton Shonkwiler, Colorado State University

Posted 4 months ago

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Follow Through Put down points at multiples of $4\pi/11$, with each repeated, and form the resulting star. Then linearly interpolate the $i$th point with the $(i+9)$th point. Here's the code: smootheststep[t_] := -20 t^7 + 70 t^6 - 84 t^5 + 35 t^4; DynamicModule[{n = 11, t, cols = RGBColor /@ {"#111F4D", "#F4F4F4"}}, Manipulate[ t = smootheststep[s]; Graphics[{cols[[1]], Polygon[ (1 - t) # + t RotateLeft[#, n - 2] &[Riffle[#, #] &[Table[{Cos[θ], Sin[θ]}, {θ, π/2, 4 π + π/2 - 4 π/n, 4 π/n}]]]]}, PlotRange -> Sqrt[2], ImageSize -> 540, Background -> cols[[-1]]], {s, 0, 1}] ]

Morphing 11-pointed star

Follow Through

Put down points at multiples of $4\pi/11$, with each repeated, and form the resulting star. Then linearly interpolate the $i$th point with the $(i+9)$th point.

Here's the code:

smootheststep[t_] := -20 t^7 + 70 t^6 - 84 t^5 + 35 t^4;

DynamicModule[{n = 11, t, cols = RGBColor /@ {"#111F4D", "#F4F4F4"}},
 Manipulate[
  t = smootheststep[s];
  Graphics[{cols[[1]],
    Polygon[
     (1 - t) # + t RotateLeft[#, n - 2]
       &[Riffle[#, #] &[Table[{Cos[θ], Sin[θ]}, {θ, π/2, 4 π + π/2 - 4 π/n, 4 π/n}]]]]}, 
   PlotRange -> Sqrt[2], ImageSize -> 540, Background -> cols[[-1]]],
  {s, 0, 1}]
 ]

POSTED BY: Clayton Shonkwiler

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