What does hyperellipse mean?
Definitions for hyperellipse
hy·per·el·lipse
This dictionary definitions page includes all the possible meanings, example usage and translations of the word hyperellipse.
Wiktionary
hyperellipsenoun
A superellipse: a curve in two dimensions of a certain type, a generalization of the ellipse.
hyperellipsenoun
Specifically, a superellipse with an exponent (shape parameter) greater than that of the ellipse (two).
hyperellipsenoun
A multi-dimensional manifold of a certain type, a generalization of the ellipse and ellipsoid.
Wikipedia
hyperellipse
A superellipse, also known as a Lamé curve after Gabriel Lamé, is a closed curve resembling the ellipse, retaining the geometric features of semi-major axis and semi-minor axis, and symmetry about them, but a different overall shape. In the Cartesian coordinate system, the set of all points ( x , y ) {\displaystyle (x,y)} on the curve satisfy the equation | x a | n + | y b | n = 1 , {\displaystyle \left|{\frac {x}{a}}\right|^{n}\!\!+\left|{\frac {y}{b}}\right|^{n}\!=1,} where n , a {\displaystyle n,a} and b {\displaystyle b} are positive numbers, and the vertical bars around a number indicate the absolute value of the number. The 3-dimensional generalization is called superellipsoid (some literatures also name it superquadrics).
Numerology
Chaldean Numerology
The numerical value of hyperellipse in Chaldean Numerology is: 4
Pythagorean Numerology
The numerical value of hyperellipse in Pythagorean Numerology is: 6
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"hyperellipse." Definitions.net. STANDS4 LLC, 2024. Web. 6 Dec. 2024. <https://www.definitions.net/definition/hyperellipse>.
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