**Polar Rose**

A polar rose is a famous mathematical curve that looks like a petaled flower, and that can be expressed as a simple polar equation,

for any constant φ_{0} (including 0). If *k* is an integer, these equations will produce a *k*-petaled rose if *k* is odd, or a 2*k*-petaled rose if *k* is even. If *k* is rational but not an integer, a rose-like shape may form but with overlapping petals. Note that these equations never define a rose with 2, 6, 10, 14, etc. petals. The variable *a* represents the length of the petals of the rose.

Read more about this topic: Polar Coordinate System, Polar Equation of A Curve

### Famous quotes containing the words rose and/or polar:

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—Phyllis *Rose* (b. 1942)

“Professor Fate: My apologies. There’s a *polar* bear in our car.”

—Arthur Ross. Professor Fate (Jack Lemmon)