# Hexagonal prism (EntityTopic, 16)

### From Hi.gher. Space

## Equations

- The hypervolumes of a hexagonal prism with side length
*l*are given by:

total edge length = 18l

surface area = 3(2 + √3) ·l^{2}

volume =^{3√3}∕_{2}·l^{3}

## Incidence matrix

Dual: hexagonal bipyramid

# | TXID | Va | Ea | Eb | 4a | 6a | Type | Name |
---|---|---|---|---|---|---|---|---|

0 | Va | = point | ; | |||||

1 | Ea | 2 | = digon | ; | ||||

2 | Eb | 2 | = digon | ; | ||||

3 | 4a | 4 | 2 | 2 | = square | ; | ||

4 | 6a | 6 | 0 | 6 | = base of prism: hexagon |
; | ||

5 | C1a | 12 | 6 | 12 | 6 | 2 | = hexagonal prism |
; |

## Usage as facets

- 2× 1-facets of a bitrigonal diminished pyrocantichoron

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 |