Double Sphere Calculator

Calculations at a double sphere. A double sphere consists of two equally sized intersecting spheres. The distance between their centers is less than twice the radius of a sphere.
Enter radius of one sphere and the distance between the centers of both spheres. Choose the number of decimal places, then click Calculate.

	Radius of one sphere (r):			Double sphere Intersection: double calotte
	Center distance (a):
	Width of the double sphere (b):
	Width of the intersection (c):
	Surface area (A):
	Volume (V):
	Surface-to-volume ratio (A/V):
	Round to   0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15   decimal places.

Radius, distance and widths have the same unit (e.g. meter), the area has this unit squared (e.g. square meter), the volume has this unit to the power of three (e.g. cubic meter). A/V has this unit ^-1.

The two-dimensional equivalent of a double sphere is two intersecting, equal-sized circles. These can be calculated with the lune calculator by setting both radii equal.
The double sphere has two planes of symmetry. One passes through the edge of the double calotte, the other perpendicular to it through the two farthest points of the overall shape. A double sphere is point-symmetric about its cental point. It is completely rotationally symmetric when rotated around the straight line between its farthest points. It has further rotational symmetry when rotated 180 degrees along the line perpendicular to this within the plane of symmetry through the edge of the double calotte.
In practice, it is difficult to create a material double sphere from two spheres because the two spheres physically interact, thus influencing each other and changing their shape in the process. However, for abstract objects, such as space and graphics, such difficulties do not exist.

Last updated on 03/30/2026. Author: Jürgen Kummer

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