Flowers for Fourier
- Author:
- Steve Phelps
Flowers for Fourier is from 99 Points of Intersection by Hans Walser, published by the Mathematical Association of America (June 15, 2006)
A 5-petaled flower
A 7-petaled flower
An 11-petaled flower
Intersections of the Flowers
Other Flowers With These Intersection Points
Each of these polar graph equations have the form . They will intersect in the on the same circle and equilateral triangle.
Behind These Graphs
Behind the polar graphs are the functions y = cos(5t), y = cos(7t), and y = cos(11t). These all have the form . These functions all pass through the points (0, 1), (-π/2, 0.5) and (π/2, 0.5) on the interval [-π, π].