Circle
Lamé curve
Superellipse Plot
| a | 1 |
| b | 1 |
| n | 2 |
| s | 0 |
| e | 360 |
| Width | 1.00 mm |
| Height | 1.00 mm |
| Perimeter | ~3.14 mm |
| Area | 0.79 mm² |
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About
The general Cartesian notation of the form comes from the French mathematician Gabriel Lamé (1795–1870) who generalized the equation for the ellipse (Lamé curve).
Piet Hein used the Lamé curve in many designs. He used n=2.5 found by trial and error and names it the superellipse. Using e (~ 2,718) as n is by many considered to be a better and more harmonic visual choice. As e is the base of the natural logarithm the result is often referred to as the natural superellipse
A generalization of the superellipse formula was first proposed by Johan Gielis. It is known as the Superformula.
Go to page topPiet Hein used the Lamé curve in many designs. He used n=2.5 found by trial and error and names it the superellipse. Using e (~ 2,718) as n is by many considered to be a better and more harmonic visual choice. As e is the base of the natural logarithm the result is often referred to as the natural superellipse
A generalization of the superellipse formula was first proposed by Johan Gielis. It is known as the Superformula.
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