Bicone

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

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

For a right circular cone, the surface area is

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

"Regular" right (symmetric) n-gonal bipyramids:

Bipyramid name	Digonal bipyramid	Triangular bipyramid (See: J12)	Square bipyramid (See: O)	Pentagonal bipyramid (See: J13)	Hexagonal bipyramid	Heptagonal bipyramid	Octagonal bipyramid	Enneagonal bipyramid	Decagonal 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	V7.4.4	V8.4.4	V9.4.4	V10.4.4	...	V∞.4.4
Coxeter diagram										...

See also

• Sphericon
• Biconical antenna

External links

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