Maurer Roses

With Circle Subdivisions

r = sin(n ⋅ θ)^p describes the rose for the first variant in polar coordinates with n ≥ 1 and p ≥ 1,
points on the rose: P_k = (sin(n ⋅ k/z)^p, k), k = 0, d, 2d, 3d, ..., u ⋅ d with the natural number d ≥ 1 and the maximal number of points u, z subdivides the circle instead of the usual 360.

You can also try values like z = 359.999, n = 45, d = 261, giving figures like this: (.svg)/(.pdf)

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Basic version: (.html), Animation I (.html), II (.html)

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