A bicone or dicone (bi- comes from Latin, di- from Greek) is the three-dimensional surface of revolution of a rhombus around one of its axes of symmetry. Equivalently, a bicone is the surface created by joining two congruent right circular cones base-to-base.

A bicone has circular symmetry and orthogonal bilateral symmetry.


For a circular bicone with radius R and height center-to-top H, the formula for volume becomes

For a right circular cone, the surface area is

  where     is the slant height.

A bicone can be seen as a polyhedral limiting case of an n-gonal bipyramid where n approaches infinity. It can also be seen as a dual of a cylinder as an infinite-side prism.[1]

Family of bipyramids
Config. V2.4.4 V3.4.4 V4.4.4 V5.4.4 V6.4.4 V7.4.4 V8.4.4 V9.4.4 V10.4.4

See also


  • Weisstein, Eric W. "Bicone". MathWorld.
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