Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

In order to fit experimental data, I want to use a Cartesian equation which looks like:

$\left|\dfrac{x}{a}\right|^{z} + \left|\dfrac{y}{b}\right|^{z} = 1$

$a$, $b$, $c$, and $z$ can take any real value, except the impossible ones ($a = 0$ or $b = 0$, for instance).

First, I look for a name for this equation because I can't find more information about it if I can't name it. As far as I know, ellipsoids, paraboloids, or hyperboloids are not helpful here, since with those specific cases, $z = 2$, and that's all.

Any idea? Thanks!

share|improve this question

2 Answers 2

up vote 16 down vote accepted

Superellipse / Lamé curve (Wikipedia / Mathworld):

$\hskip 2.1 in$ Superellipse for various exponents

share|improve this answer
    
Great! It definitely looks like the shape I'm looking for and I now know the name associated with the equation. Thanks a lot! –  Speredenn Jul 24 '11 at 15:48

It's referred to as a Lamé curve or a superellipse.

share|improve this answer
    
Here is another nice page on these... –  J. M. Jul 24 '11 at 15:24
    
Thanks for the links and for the edit :-) –  Speredenn Jul 24 '11 at 16:17

Your Answer

 
discard

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

Not the answer you're looking for? Browse other questions tagged or ask your own question.