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Maurer roses

What is a Maurer rose?

$$r=\cos(dt),\qquad x=\cos(dt)\cos t,\qquad y=\cos(dt)\sin t.$$

GeoGebra applet

$$x=\cos(dt)\cos(t),\qquad y=\cos(dt)\sin(t).$$



How is it constructed?

$$t_k=k\alpha,\qquad k=0,1,2,\ldots,p.$$

Key idea:

Meaning of the parameters

\(d\)

\(\alpha\)

\(p\)

What happens with decimal values?

Decimal parameter viewer

Explore a Maurer rose

See also

Rhodonea Curves

Clifford attractor