Bicone

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. Such a bicone has circular symmetry and orthogonal bilateral symmetry.

Alternatively, one can view a bicone as the surface created by joining two congruent right circular cones base-to-base.

Geometry

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

$V = \frac{2}{3} \pi R^2 H.$

For a right circular cone, the surface area is

$SA =2\pi R S\,$   where   $S = \sqrt{R^2 + H^2}$   is the slant height.

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.^[1]

Family of bipyramids

Polyhedron
Coxeter
Tiling
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

• Sphericon
• Biconical antenna

References

1. http://mathworld.wolfram.com/Bicone.html

External links

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