Acronym
| retdip (old: retriddip) |

Name
| rectified triddip |

Circumradius
| sqrt(5/3) = 1.290994 |

Lace city in approx. ASCII-art |
x3o o3u o3u x3o o3u x3o |

Confer
| |

External
links |

Rectification wrt. a non-regular polytope is meant to be the singular instance of truncations on all vertices
at such a depth that the hyperplane intersections on the former edges will coincide (provided such a choice exists).
Within the specific case of triddip all edges belong to a single orbit of symmetry, i.e. rectification clearly is applicable,
*without* any recourse to Conway's **ambification** (chosing the former edge centers generally).
None the less, wrt. the individual cells of the pre-image, there an ambification is possible only, i.e.
trip *cannot* be rectified (within this stronger sense).

Still, because the pre-image uses different polygonal faces, this would result in 2 different edge sizes in the outcome polychoron. That one here is scaled such so that the shorter one becomes unity. Then the larger edge will have size q=sqrt(2).

No uniform realisation is possible for any of those `ao3ob bo3oa&#zc`.
Even so all are isogonal.

Incidence matrix according to Dynkin symbol

xo3ou uo3ox&#zq - height = 0 o.3o. o.3o. & | 18 | 2 4 | 1 6 2 | 2 3 ------------------+----+-------+--------+---- x. .. .. .. & | 2 | 18 * | 1 2 0 | 1 2 x oo3oo oo3oo&#q | 2 | * 36 | 0 2 1 | 1 2 q ------------------+----+-------+--------+---- x.3o. .. .. & | 3 | 3 0 | 6 * * | 0 2 x-{3} xo .. .. ..&#q & | 3 | 1 2 | * 36 * | 1 1 xqq .. ou uo ..&#zq | 4 | 0 4 | * * 9 | 0 2 q-{4} ------------------+----+-------+--------+---- xo .. .. ox&#q ♦ 4 | 2 4 | 0 4 0 | 9 * xo3ou uo ..&#zq & ♦ 9 | 6 12 | 2 6 3 | * 6

© 2004-2022 | top of page |