Bicone

A bicone or dicone (Bi- comes from Latin, Di- from Greek.) is the three-dimensional surface of revolution of a rhombus around one of its axes of symmetry. Such a bicone has circular symmetry and orthogonal bilateral symmetry.

Alternatively, one can view a bicone as the surface created by joining two congruent right circular cones base-to-base.

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

Related polyhedra

A bicone can be seen as a polyhedral limiting case of an n-gonal bipyramid where n approaches infinity. It can also be seen as a dual of a cylinder as an infinite-side prism.[1]

Family of bipyramids
Polyhedron
Coxeter
Tiling
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

See also

References

  1. ↑ http://mathworld.wolfram.com/Bicone.html

External links

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