Bicone

Short description: 3D shape obtained by revolving a rhombus about one of its axes of symmetry

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

[math]\displaystyle{ V = \frac{2}{3} \pi R^2 H. }[/math]

For a right circular cone, the surface area is

[math]\displaystyle{ SA =2\pi R S\, }[/math]   where   [math]\displaystyle{ S = \sqrt{R^2 + H^2} }[/math]   is the slant height.

See also

• Sphericon
• Biconical antenna

External links

• Weisstein, Eric W.. "Bicone". http://mathworld.wolfram.com/Bicone.html.