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

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For a circular bicone with radius R and height center-to-top H, the formula for volume becomes

 

For a right circular cone, 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

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References

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