Squircle Calculator

A supercircle is created in the Cartesian coordinate system by the rule xⁿ + yⁿ = rⁿ. With n=2, it is a circle. With n=4, it is a squircle, a shape with the properties of a square and a circle. As n gets higher, the shape resembles more to a square. A supercircle is a special case of a superellipse or Lamé curve.
Enter one value and choose the number of decimal places. Then click Calculate. Radius and diameter refer to the distance of opposite straight lines.

	Radius (r):			Squircle x4 + y4 = r4
	Diameter (d):
	Perimeter (p):
	Area (A):
	Round to   0 1 2 3 4 5 6 7 8 9 10 11 12 13 14   decimal places.

The calculation of p is very complicated and uses the gamma function Γ and the Meijer G-function.
Radius, diameter and perimeter have the same unit (e.g. meter), the area has this unit squared (e.g. square meter).