# Rhodonea curve

## Description

In mathematics, a rose or rhodonea curve is a sinusoid plotted in polar coordinates.
the polar coordinate system is a two-dimensional coordinate system in which each point on a plane is determined by a distance from a fixed point and an angle from a fixed direction.

The fixed point (analogous to the origin of a Cartesian system) is called the pole, and the ray from the pole in the fixed direction is the polar axis. The distance from the pole is called the radial coordinate or radius, and the angle is the angular coordinate, polar angle, or azimuth.Rose curve has a parameter k. If k is an integer, the curve will be rose-shaped with 2k petals if k is even, and k petals if k is odd.

## Variables

r | Radius ( radial coordinate) (dimensionless) |

a | Ray from the pole (dimensionless) |

k | Parameter (dimensionless) |

ϕ | Angle (angular coordinate) (dimensionless) |