Bicone

This article is about the geometric shape; it is not to be confused with Bicorne.

File:Bicone.svg

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 bicone with radius $r$ and half-height $h$, the volume is

$V=\frac{2}{3}\pi r^{2}h$

and the surface area is

$A=2\pi r\ell$

where

$\ell =\sqrt{r^2+h^2}$

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		File:Triangular bipyramid.png	File:Square bipyramid.png	File:Pentagonale bipiramide.png	File:Hexagonale bipiramide.png	...
Spherical tiling image	File:Spherical digonal bipyramid.svg	File:Spherical trigonal bipyramid.svg	File:Spherical square bipyramid.svg	File:Spherical pentagonal bipyramid.svg	File:Spherical heptagonal bipyramid.svg	Plane tiling image	File:Infinite bipyramid.svg
Face config.	V2.4.4	V3.4.4	V4.4.4	V5.4.4	V6.4.4	...	V∞.4.4
Coxeter diagram	File:CDel node f1.pngFile:CDel 2.pngFile:CDel node f1.pngFile:CDel 2x.pngFile:CDel node.png	File:CDel node f1.pngFile:CDel 2.pngFile:CDel node f1.pngFile:CDel 3.pngFile:CDel node.png	File:CDel node f1.pngFile:CDel 2.pngFile:CDel node f1.pngFile:CDel 4.pngFile:CDel node.png	File:CDel node f1.pngFile:CDel 2.pngFile:CDel node f1.pngFile:CDel 5.pngFile:CDel node.png	File:CDel node f1.pngFile:CDel 2.pngFile:CDel node f1.pngFile:CDel 6.pngFile:CDel node.png	...	File:CDel node f1.pngFile:CDel 2.pngFile:CDel node f1.pngFile:CDel infin.pngFile:CDel node.png

See also

• Sphericon
• Biconical antenna