Bicone

This article is about the geometric shape. Not to be confused with Bicorne.

In geometry, a bicone or dicone (from Latin: bi-, and Greek: di-, both meaning "two") 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 at their bases.

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

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

For a right circular cone, the surface area is

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

Regular right symmetric n-gonal bipyramids:

Bipyramid name	Digonal bipyramid	Triangular bipyramid	Square bipyramid	Pentagonal bipyramid	Hexagonal bipyramid	...	Apeirogonal bipyramid
Polyhedron image						...
Spherical tiling image						Plane tiling image
Face config.	V2.4.4	V3.4.4	V4.4.4	V5.4.4	V6.4.4	...	V∞.4.4
Coxeter diagram						...

See also

• Sphericon
• Biconical antenna

References

External links

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