Lamé's special quartic
Encyclopedia
Lamé's special quartic is the graph
of the equation
where
. It looks like a rounded square
with "sides" of length
and centered on the origin. This curve is a special case of a super ellipse.
Graph (mathematics)
In mathematics, a graph is an abstract representation of a set of objects where some pairs of the objects are connected by links. The interconnected objects are represented by mathematical abstractions called vertices, and the links that connect some pairs of vertices are called edges...
of the equation
Equation
An equation is a mathematical statement that asserts the equality of two expressions. In modern notation, this is written by placing the expressions on either side of an equals sign , for examplex + 3 = 5\,asserts that x+3 is equal to 5...
where
. It looks like a rounded squareSquare (geometry)
In geometry, a square is a regular quadrilateral. This means that it has four equal sides and four equal angles...
with "sides" of length
and centered on the origin. This curve is a special case of a super ellipse.