Interactive Lab
Maurer Rose
A Maurer rose is constructed by first defining a rose curve r = sin(nθ), then connecting 361 points sampled at integer multiples of d degrees with straight lines. The interplay between the petal count n and the step angle d produces a dazzling variety of geometric patterns—from tight star polygons to airy webs. Discovered by Peter M. Maurer in 1987, these figures reveal deep connections between modular arithmetic and polar geometry. Try animating the d parameter to watch patterns bloom and dissolve.
r(θ) = sin(n · θ), sampled at θk = k · d° for k = 0, 1, …, 360
PRESETS
n (petals)
6
d (degree step)
71
Line Opacity
0.60
Animation Speed
0.3
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IRIS — AI RESEARCH ASSISTANT