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Bicone

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3D shape obtained by revolving a rhombus about one of its axes of symmetry This article is about the geometric shape. Not to be confused with Bicorne.
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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 = 2 3 π R 2 H . {\displaystyle V={\frac {2}{3}}\pi R^{2}H.}

For a right circular cone, the surface area is

S A = 2 π R S {\displaystyle SA=2\pi RS\,}   where   S = R 2 + H 2 {\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

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