Bicone
Get Bicone essential facts below. View Videos or join the Bicone discussion. Add Bicone to your PopFlock.com topic list for future reference or share this resource on social media.
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

${\displaystyle V={\frac {2}{3}}\pi R^{2}H.}$

For a right circular cone, the surface area is

${\displaystyle SA=2\pi RS\,}$   where   ${\displaystyle S={\sqrt {R^{2}+H^{2}}}}$   is the slant height.

"Regular" right (symmetric) n-gonal bipyramids:
Name Digonal bipyramid Triangular bipyramid (J12) Square bipyramid (O) Pentagonal bipyramid (J13) Hexagonal bipyramid Heptagonal bipyramid Octagonal bipyramid Enneagonal bipyramid Decagonal bipyramid ... Apeirogonal bipyramid
Polyhedron image ...
Spherical tiling image Plane tiling image
Face configuration 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 ... V?.4.4
Coxeter diagram ...