Fourleaved Rose

This model is the level set of f(x,y) = (x^2 + y^2)^3 - 4 a x^2 y^2

The singularity at the origin for this function has eight tangent directions. The function is extremely flat near the singularity, so this model is a good test-case for singularity-detection.

This function can also be defined in the polar form as r=a sin(2 theta)

Previous: Models
[Pisces] The Pisces Home Page
Comments to: pisces@geom.umn.edu
Last modified: Sun Nov 26 16:29:03 1995
Copyright © 1995 by The Geometry Center, all rights reserved.