Bicone

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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.

Geometry[edit]

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.


"Regular" right (symmetric) n-gonal bipyramids:
Bipyramid name Digonal bipyramid Triangular bipyramid
(See: J12)
Square bipyramid
(See: O)
Pentagonal bipyramid
(See: J13)
Hexagonal bipyramid Heptagonal bipyramid Octagonal bipyramid Enneagonal bipyramid Decagonal bipyramid ... Apeirogonal bipyramid
Polyhedron image Triangular bipyramid.png Square bipyramid.png Pentagonale bipiramide.png Hexagonale bipiramide.png Heptagonal bipyramid.png Octagonal bipyramid.png Enneagonal bipyramid.png Decagonal bipyramid.png ...
Spherical tiling image Spherical digonal bipyramid.svg Spherical trigonal bipyramid.png Spherical square bipyramid.svg Spherical pentagonal bipyramid.png Spherical hexagonal bipyramid.png Spherical heptagonal bipyramid.png Spherical octagonal bipyramid.png Spherical enneagonal bipyramid.png Spherical decagonal bipyramid.png Plane tiling image Infinite bipyramid.svg
Face 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 ... V∞.4.4
Coxeter diagram CDel node f1.pngCDel 2.pngCDel node f1.pngCDel 2x.pngCDel node.png CDel node f1.pngCDel 2.pngCDel node f1.pngCDel 3.pngCDel node.png CDel node f1.pngCDel 2.pngCDel node f1.pngCDel 4.pngCDel node.png CDel node f1.pngCDel 2.pngCDel node f1.pngCDel 5.pngCDel node.png CDel node f1.pngCDel 2.pngCDel node f1.pngCDel 6.pngCDel node.png CDel node f1.pngCDel 2.pngCDel node f1.pngCDel 7.pngCDel node.png CDel node f1.pngCDel 2.pngCDel node f1.pngCDel 8.pngCDel node.png CDel node f1.pngCDel 2.pngCDel node f1.pngCDel 9.pngCDel node.png CDel node f1.pngCDel 2.pngCDel node f1.pngCDel 10.pngCDel node.png ... CDel node f1.pngCDel 2.pngCDel node f1.pngCDel infin.pngCDel node.png

See also[edit]

References[edit]

External links[edit]

  • Weisstein, Eric W. "Bicone". MathWorld.