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

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. V2.4.4V3.4.4V4.4.4V5.4.4V6.4.4...V∞.4.4
Coxeter
diagram
...

See also

References

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


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