| Acronym | ... |
| Name | thawro-wedged 1/6-luna of hexacosachoron |
| Circumradius | ... |
|
Lace city in approx. ASCII-art |
o3o
x3o o3f f3o o3x
f3x x3f
o3F F3o
x3x
|
| Face vector | 37, 150, 201, 88 |
| Confer |
Sadly this luna would not be convex. This is because the part of the lace city, which is Fo3oF&#f, would feature its f-edges to the convex hull. None the less, the non-convex polychoron, by means of those dimples, remains regular faced, as the below incidence matrix shows. – These f-edges of the hull are covered differently, by according incident pentagons each, both at the thawro-wedged 2/6-luna of ex and at the thawrorh, which thereby become convex again.
Furthermore this polychoron could be diminished at the top vertex of the lace city, cutting off an ikepy. This then would result in the multi-wedge dim. thawro-wedged 1/6-luna of ex. For sure, that one then wouldn't be convex for the same reason.
6 * * * * * | 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 2 2 0 0 0 0 0 0 0 0 0 at x3x (of l.c.) ones
* 6 * * * * | 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 | 0 1 0 2 2 0 1 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 2 1 1 2 0 0 0 0 0 0 at o3F (of l.c.) ones
* * 12 * * * | 0 0 1 1 1 0 1 1 1 1 1 0 0 0 0 0 0 | 0 0 1 1 1 1 1 1 2 1 1 1 1 2 1 1 1 0 0 0 0 0 0 0 | 1 1 2 1 1 2 1 1 1 0 0 0 at f3x (of l.c.) ones
* * * 6 * * | 0 0 0 0 0 0 0 0 2 0 0 2 2 1 1 0 0 | 0 0 0 0 0 0 2 0 0 0 0 1 0 0 2 2 0 1 2 2 2 2 1 0 | 1 0 0 2 0 0 1 0 2 1 2 2 at x3o (of l.c.) ones
* * * * 6 * | 0 0 0 0 0 1 0 0 0 2 2 0 2 1 0 2 1 | 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 2 4 0 1 0 4 2 1 2 | 0 0 0 1 1 2 1 2 4 0 1 4 at o3f (of l.c.) ones
* * * * * 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 6 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 12 6 6 | 0 0 0 0 0 0 0 0 0 2 6 12 at o3o (of l.c.) one
-------------+-------------------------------------------+------------------------------------------------------------+----------------------------
2 0 0 0 0 0 | 6 * * * * * * * * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 1 0 0 0 0 0 0 0 0 0 0
1 1 0 0 0 0 | * 12 * * * * * * * * * * * * * * * | 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 0 0 0 0 0 0
1 0 1 0 0 0 | * * 12 * * * * * * * * * * * * * * | 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 2 0 0 0 0 0 0 0 0 0
0 1 1 0 0 0 | * * * 12 * * * * * * * * * * * * * | 0 0 0 1 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 1 1 0 1 0 0 0 0 0 0 of each thawro
0 1 1 0 0 0 | * * * * 12 * * * * * * * * * * * * | 0 0 0 0 1 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 1 0 1 1 0 0 0 0 0 0 between thawroes
0 1 0 0 1 0 | * * * * * 6 * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 1 1 2 0 0 0 0 0 0 near
0 0 2 0 0 0 | * * * * * * 6 * * * * * * * * * * | 0 0 1 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 | 1 1 0 0 1 0 1 0 0 0 0 0 of each thawro
0 0 2 0 0 0 | * * * * * * * 6 * * * * * * * * * | 0 0 0 0 0 1 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 | 0 0 2 0 0 2 0 1 0 0 0 0 between thawroes
0 0 1 1 0 0 | * * * * * * * * 12 * * * * * * * * | 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 | 1 0 0 1 0 0 1 0 1 0 0 0
0 0 1 0 1 0 | * * * * * * * * * 12 * * * * * * * | 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 0 0 0 0 0 0 0 | 0 0 0 1 0 1 0 1 1 0 0 0 peppy lacings (near)
0 0 1 0 1 0 | * * * * * * * * * * 12 * * * * * * | 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 0 0 0 0 0 0 | 0 0 0 0 1 1 1 1 1 0 0 0 far
0 0 0 2 0 0 | * * * * * * * * * * * 6 * * * * * | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 | 1 0 0 1 0 0 0 0 0 1 1 0
0 0 0 1 1 0 | * * * * * * * * * * * * 12 * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 0 0 | 0 0 0 1 0 0 0 0 1 0 1 1 near
0 0 0 1 1 0 | * * * * * * * * * * * * * 6 * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 1 0 | 0 0 0 0 0 0 1 0 2 0 0 2 far
0 0 0 1 0 1 | * * * * * * * * * * * * * * 6 * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 0 | 0 0 0 0 0 0 0 0 0 1 2 2
0 0 0 0 2 0 | * * * * * * * * * * * * * * * 6 * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 1 | 0 0 0 0 0 0 0 1 2 0 0 2
0 0 0 0 1 1 | * * * * * * * * * * * * * * * * 6 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 | 0 0 0 0 0 0 0 0 0 0 1 4
-------------+-------------------------------------------+------------------------------------------------------------+----------------------------
6 0 0 0 0 0 | 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * * * * * * * * * * * | 2 0 0 0 0 0 0 0 0 0 0 0
2 1 0 0 0 0 | 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 6 * * * * * * * * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 0 0 0
2 0 2 0 0 0 | 1 0 2 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | * * 6 * * * * * * * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 0 0 0
1 1 1 0 0 0 | 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * 12 * * * * * * * * * * * * * * * * * * * * | 1 0 1 0 0 0 0 0 0 0 0 0 of each thawro
1 1 1 0 0 0 | 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * 12 * * * * * * * * * * * * * * * * * * * | 0 1 1 0 0 0 0 0 0 0 0 0 between thawroes
1 0 2 0 0 0 | 0 0 2 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | * * * * * 6 * * * * * * * * * * * * * * * * * * | 0 0 2 0 0 0 0 0 0 0 0 0
0 1 2 2 0 0 | 0 0 0 2 0 0 0 0 2 0 0 1 0 0 0 0 0 | * * * * * * 6 * * * * * * * * * * * * * * * * * | 1 0 0 1 0 0 0 0 0 0 0 0
0 1 2 0 0 0 | 0 0 0 0 2 0 1 0 0 0 0 0 0 0 0 0 0 | * * * * * * * 6 * * * * * * * * * * * * * * * * | 0 1 0 0 1 0 0 0 0 0 0 0 at squippy (para)
0 1 2 0 0 0 | 0 0 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 | * * * * * * * * 12 * * * * * * * * * * * * * * * | 0 0 1 0 0 1 0 0 0 0 0 0
0 1 1 0 1 0 | 0 0 0 1 0 1 0 0 0 1 0 0 0 0 0 0 0 | * * * * * * * * * 12 * * * * * * * * * * * * * * | 0 0 0 1 0 1 0 0 0 0 0 0
0 1 1 0 1 0 | 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 0 | * * * * * * * * * * 12 * * * * * * * * * * * * * | 0 0 0 0 1 1 0 0 0 0 0 0
0 0 2 1 0 0 | 0 0 0 0 0 0 1 0 2 0 0 0 0 0 0 0 0 | * * * * * * * * * * * 6 * * * * * * * * * * * * | 1 0 0 0 0 0 1 0 0 0 0 0
0 0 2 0 1 0 | 0 0 0 0 0 0 1 0 0 0 2 0 0 0 0 0 0 | * * * * * * * * * * * * 6 * * * * * * * * * * * | 0 0 0 0 1 0 1 0 0 0 0 0 connecting one thawro to far f3o vertex
0 0 2 0 1 0 | 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 | * * * * * * * * * * * * * 12 * * * * * * * * * * | 0 0 0 0 0 1 0 1 0 0 0 0 between thawroes
0 0 1 1 1 0 | 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 | * * * * * * * * * * * * * * 12 * * * * * * * * * | 0 0 0 1 0 0 0 0 1 0 0 0 with near o3f vertex
0 0 1 1 1 0 | 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 | * * * * * * * * * * * * * * * 12 * * * * * * * * | 0 0 0 0 0 0 1 0 1 0 0 0 with far f3o vertex
0 0 1 0 2 0 | 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 | * * * * * * * * * * * * * * * * 12 * * * * * * * | 0 0 0 0 0 0 0 1 1 0 0 0
0 0 0 3 0 0 | 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 | * * * * * * * * * * * * * * * * * 2 * * * * * * | 1 0 0 0 0 0 0 0 0 1 0 0
0 0 0 2 1 0 | 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 | * * * * * * * * * * * * * * * * * * 6 * * * * * | 0 0 0 1 0 0 0 0 0 0 1 0
0 0 0 2 0 1 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 | * * * * * * * * * * * * * * * * * * * 6 * * * * | 0 0 0 0 0 0 0 0 0 1 1 0
0 0 0 1 2 0 | 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 | * * * * * * * * * * * * * * * * * * * * 12 * * * | 0 0 0 0 0 0 0 0 1 0 0 1
0 0 0 1 1 1 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 | * * * * * * * * * * * * * * * * * * * * * 12 * * | 0 0 0 0 0 0 0 0 0 0 1 1 near
0 0 0 1 1 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 | * * * * * * * * * * * * * * * * * * * * * * 6 * | 0 0 0 0 0 0 0 0 0 0 0 2 far
0 0 0 0 2 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 | * * * * * * * * * * * * * * * * * * * * * * * 6 | 0 0 0 0 0 0 0 0 0 0 0 2
-------------+-------------------------------------------+------------------------------------------------------------+----------------------------
6 3 6 3 0 0 | 6 6 6 6 0 0 3 0 6 0 0 3 0 0 0 0 0 | 1 3 3 6 0 0 3 0 0 0 0 3 0 0 0 0 0 1 0 0 0 0 0 0 | 2 * * * * * * * * * * * thawro
2 1 2 0 0 0 | 1 2 2 0 2 0 1 0 0 0 0 0 0 0 0 0 0 | 0 1 1 0 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 6 * * * * * * * * * * squippy
1 1 2 0 0 0 | 0 1 2 1 1 0 0 1 0 0 0 0 0 0 0 0 0 | 0 0 0 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * 12 * * * * * * * * * tet
0 1 2 2 1 0 | 0 0 0 2 0 1 0 0 2 2 0 1 2 0 0 0 0 | 0 0 0 0 0 0 1 0 0 2 0 0 0 0 2 0 0 0 1 0 0 0 0 0 | * * * 6 * * * * * * * * peppy
0 1 2 0 1 0 | 0 0 0 0 2 1 1 0 0 0 2 0 0 0 0 0 0 | 0 0 0 0 0 0 0 1 0 0 2 0 1 0 0 0 0 0 0 0 0 0 0 0 | * * * * 6 * * * * * * * tet at thawro's horizontal {4}-edge
0 1 2 0 1 0 | 0 0 0 1 1 1 0 1 0 1 1 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 | * * * * * 12 * * * * * * tet with inter-thawro's upper {4}-vertex edge
0 0 2 1 1 0 | 0 0 0 0 0 0 1 0 2 0 2 0 0 1 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 2 0 0 0 0 0 0 0 0 | * * * * * * 6 * * * * * tet with far f3o vertex
0 0 2 0 2 0 | 0 0 0 0 0 0 0 1 0 2 2 0 0 0 0 1 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 | * * * * * * * 6 * * * * tet between thawroes
0 0 1 1 2 0 | 0 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 0 0 | * * * * * * * * 12 * * * tet
0 0 0 3 0 1 | 0 0 0 0 0 0 0 0 0 0 0 3 0 0 3 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 3 0 0 0 0 | * * * * * * * * * 2 * * tet
0 0 0 2 1 1 | 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 0 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 0 0 | * * * * * * * * * * 6 * tet
0 0 0 1 2 1 | 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 | * * * * * * * * * * * 12 tet
© 2004-2026 | top of page |