Bicone
3D shape obtained by revolving a rhombus about one of its axes of symmetry
![](http://upload.wikimedia.org/wikipedia/commons/thumb/1/12/Bicone.svg/100px-Bicone.svg.png)
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.
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 | ... | Vā.4.4 |
Coxeter diagram | ![]() ![]() ![]() ![]() ![]() | ![]() ![]() ![]() ![]() ![]() | ![]() ![]() ![]() ![]() ![]() | ![]() ![]() ![]() ![]() ![]() | ![]() ![]() ![]() ![]() ![]() | ... | ![]() ![]() ![]() ![]() ![]() |
See also
- Sphericon
- Biconical antenna
References
External links
- Weisstein, Eric W. "Bicone". MathWorld.
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