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.
Contents
A bicone has circular symmetry and orthogonal bilateral symmetry.
Geometry
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
Related polyhedra
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.
References
Bicone Wikipedia(Text) CC BY-SA