Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

How can I mathematically describe the shape of an idealised bean? (In two dimensions and in threes dimensions)

At the moment I'm calling the shape I refer to an ellipse/ellipsoid on a curved major axis.

share|cite|improve this question
I bet you can make a cardoid look like a bean. – Alex Youcis Dec 12 '12 at 7:32
For some reason, this made me think of the shape from this question – mixedmath Dec 12 '12 at 7:36
It is bean-shaped. – Qiaochu Yuan Dec 12 '12 at 7:47
What kind of bean? There are a number of different types. – mike4ty4 Dec 12 '12 at 7:50
this seems to work for 2D $\quad r=\sin^3\theta+\cos^3\theta$ – Elements in Space Dec 12 '12 at 8:05

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.