Superellipse
A curve of the form
where
. ``The'' superellipse is sometimes taken as the curve of the above form with 
. Superellipses with
are also known as Lamé Curves. The above curves are for 
, 
, and 
, 3.0,and 3.5.
A degenerate superellipse is a superellipse with 
. The above curves are for , , and 
, 1.0, 1.5,and 2.0.
References
Gardner, M. ``Piet Hein's Superellipse.'' Ch. 18 in Mathematical Carnival: A New Round-Up of Tantalizers and Puzzles from Scientific American. New York: Vintage, 1977.
- Euler Parameters
- Euler-Poincaré Characteristic
- Euler Polyhedral Formula
- Euler Polynomial
- Euler Polynomial Identity
- Euler Power Conjecture
- Euler Product
- Euler Pseudoprime
- Euler Quartic Conjecture
- Euler's 6n+1 Theorem
- Euler's Addition Theorem
- Euler's Circle
- Euler's Conjecture
- Euler's Criterion
- Euler's Displacement Theorem
- Euler's Distribution Theorem
- Euler's Factorization Method
- Euler's Finite Difference Transformation
- Euler's Graeco-Roman Squares Conjecture
- Euler's Homogeneous Function Theorem
- Euler's Hypergeometric Transformations
- Euler's Idoneal Number
- Euler's Machin-Like Formula
- Euler's Pentagonal Number Theorem
- Euler's Phi Function