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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 bicone with radius and half-height , the volume is

and the surface area is

where

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

References