# Bicone (EntityTopic, 10)

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''h'' ⇒ perpendicular height of bicone from the circle to one of the vertices</blockquote> | ''h'' ⇒ perpendicular height of bicone from the circle to one of the vertices</blockquote> | ||

- | *The [[hypervolume]]s of a | + | *The [[hypervolume]]s of a bicone are given by: |

<blockquote>total edge length = 2π''r''<br> | <blockquote>total edge length = 2π''r''<br> | ||

surface area = 2π''r''√(''r''<sup>2</sup> + ''h''<sup>2</sup>))<br> | surface area = 2π''r''√(''r''<sup>2</sup> + ''h''<sup>2</sup>))<br> |

## Latest revision as of 15:03, 26 March 2017

A **bicone** is the tegum product of a circle and a digon. It is also the result of attaching two cones at their bases.

## Equations

- Variables:

r⇒ radius of base of bicone

h⇒ perpendicular height of bicone from the circle to one of the vertices

- The hypervolumes of a bicone are given by:

total edge length = 2πr

surface area = 2πr√(r^{2}+h^{2}))

volume =^{2π}∕_{3}·r^{2}h

- The planar cross-sections (
*n*) of a cone are:

[!x,!y] ⇒ rhombus

[!z] ⇒ circle

Notable Trishapes
| |

Regular:
| tetrahedron • cube • octahedron • dodecahedron • icosahedron |

Direct truncates:
| tetrahedral truncate • cubic truncate • octahedral truncate • dodecahedral truncate • icosahedral truncate |

Mesotruncates:
| stauromesohedron • stauroperihedron • stauropantohedron • rhodomesohedron • rhodoperihedron • rhodopantohedron |

Snubs:
| snub staurohedron • snub rhodohedron |

Curved:
| sphere • torus • cylinder • cone • frustum • crind |

7. [(II)I] Cylinder | 8. <(II)I>
Bicone | 9. ([II]I) Crind |

List of bracketopes |