Bicone

Last updated
Bicone.svg

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.

Contents

Geometry

For a bicone with radius and half-height , the volume is

and the surface area is

where

is the slant height.

Regular right symmetric n-gonal bipyramids:
Bipyramid
name
Digonal
bipyramid
Triangular
bipyramid
Square
bipyramid
Pentagonal
bipyramid
Hexagonal
bipyramid
... Apeirogonal
bipyramid
Polyhedron
image
Triangular bipyramid.png Square bipyramid.png Pentagonale bipiramide.png Hexagonale bipiramide.png ...
Spherical
tiling

image
Spherical digonal bipyramid.svg Spherical trigonal bipyramid.svg Spherical square bipyramid.svg Spherical pentagonal bipyramid.svg Spherical heptagonal bipyramid.svg Plane
tiling

image
Infinite bipyramid.svg
Face config. V2.4.4V3.4.4V4.4.4V5.4.4V6.4.4...V∞.4.4
Coxeter
diagram
CDel node f1.pngCDel 2.pngCDel node f1.pngCDel 2x.pngCDel node.pngCDel node f1.pngCDel 2.pngCDel node f1.pngCDel 3.pngCDel node.pngCDel node f1.pngCDel 2.pngCDel node f1.pngCDel 4.pngCDel node.pngCDel node f1.pngCDel 2.pngCDel node f1.pngCDel 5.pngCDel node.pngCDel node f1.pngCDel 2.pngCDel node f1.pngCDel 6.pngCDel node.png...CDel node f1.pngCDel 2.pngCDel node f1.pngCDel infin.pngCDel node.png

See also

References