Bicone
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Wikipedia : http://en.wikipedia.org/wiki/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. Equivalently, a bicone is the surface created by joining two congruent right circular cones base-to-base.
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.
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]}
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
- ^ http://mathworld.wolfram.com/Bicone.html
External links
- Weisstein, Eric W. "Bicone". MathWorld.
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