| Acronym | pabdi skiviphado |
| Name | parabidiminished small skewverted prismatohexadecadisoctachoron |
| Circumradius | sqrt(2) = 1.414214 |
| Coordinates |
((1+sqrt(2))/2, 1/2, 1/2, (sqrt(2)-1)/2) & nearly all permutations (*), all changes of sign (*) except that the above first coordinate value (or its negative) get onto the first three coordinate positions only |
| Face vector | 192, 576, 416, 56 |
| Confer |
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Skiviphado, in its cubical direction, comes within 6 consecutive vertex layers: gocco || cotco || sirco || sirco || cotco || gocco. The polar caps, which in here got chopped off, are goccoa cotco each. The medial tristratic remainder then is this polychoron.
Just like the in here remaining fully upright lacing octagrams, this whole medial tristratic remainder can be considered as a lace tower which got self-intersectingly foldet to and fro as sirco (at -(sqrt(2)-1)/2 = -0.207107) || cotco (at +1/2 = +0.5) || cotco (at -1/2 = -0.5) || sirco (at +(sqrt(2)-1)/2 = +0.207107).
48 * * * | 1 1 1 1 1 0 0 0 0 0 0 0 0 | 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 1 1 0 0 0 0
* 24 * * | 0 0 0 0 0 2 2 2 0 0 0 0 0 | 0 0 0 2 0 0 0 0 1 2 1 1 2 0 0 0 0 0 0 | 0 0 1 2 0 1 1 0 0
* * 24 * | 0 0 0 2 0 0 0 0 2 2 0 0 0 | 0 0 0 2 1 2 0 0 0 0 0 0 0 1 2 1 0 0 0 | 0 1 1 2 0 0 0 1 0
* * * 48 | 0 0 0 0 1 0 0 1 0 0 1 1 1 | 0 0 0 1 0 0 1 1 0 0 0 1 1 0 0 0 1 1 1 | 0 0 1 1 1 0 1 0 1
------------+----------------------------------------+------------------------------------------------+-------------------
2 0 0 0 | 24 * * * * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 0 0 0 6-8/3
2 0 0 0 | * 24 * * * * * * * * * * * | 1 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 0 1 1 0 0 0 0 6-8
2 0 0 0 | * * 24 * * * * * * * * * * | 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1 0 1 0 1 0 0 0 0 8/3-8
1 0 1 0 | * * * 48 * * * * * * * * * | 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0 0 0 0
1 0 0 1 | * * * * 48 * * * * * * * * | 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 | 0 0 1 1 1 0 0 0 0
0 2 0 0 | * * * * * 24 * * * * * * * | 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 | 0 0 1 1 0 1 0 0 0 gocco ones
0 2 0 0 | * * * * * * 24 * * * * * * | 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 | 0 0 0 1 0 1 1 0 0 stop lacings
0 1 0 1 | * * * * * * * 48 * * * * * | 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 | 0 0 1 1 0 0 1 0 0
0 0 2 0 | * * * * * * * * 24 * * * * | 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 | 0 0 1 1 0 0 0 1 0 gocco ones
0 0 2 0 | * * * * * * * * * 24 * * * | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0 | 0 1 0 1 0 0 0 1 0 stop lacings
0 0 0 2 | * * * * * * * * * * 24 * * | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 | 0 0 1 0 0 0 1 0 1 6-8/3
0 0 0 2 | * * * * * * * * * * * 24 * | 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 | 0 0 0 1 1 0 1 0 1 6-8
0 0 0 2 | * * * * * * * * * * * * 24 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 | 0 0 1 0 1 0 0 0 1 8/3-8
------------+----------------------------------------+------------------------------------------------+-------------------
6 0 0 0 | 3 3 0 0 0 0 0 0 0 0 0 0 0 | 8 * * * * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0
8 0 0 0 | 4 0 4 0 0 0 0 0 0 0 0 0 0 | * 6 * * * * * * * * * * * * * * * * * | 1 0 1 0 0 0 0 0 0 {8/3}
8 0 0 0 | 0 4 4 0 0 0 0 0 0 0 0 0 0 | * * 6 * * * * * * * * * * * * * * * * | 1 0 0 0 1 0 0 0 0 {8}
2 2 2 2 | 0 0 0 2 2 1 0 2 1 0 0 0 0 | * * * 24 * * * * * * * * * * * * * * * | 0 0 1 1 0 0 0 0 0 {8/3}
2 0 1 0 | 1 0 0 2 0 0 0 0 0 0 0 0 0 | * * * * 24 * * * * * * * * * * * * * * | 0 1 1 0 0 0 0 0 0
2 0 2 0 | 0 1 0 2 0 0 0 0 0 1 0 0 0 | * * * * * 24 * * * * * * * * * * * * * | 0 1 0 1 0 0 0 0 0
2 0 0 2 | 0 1 0 0 2 0 0 0 0 0 0 1 0 | * * * * * * 24 * * * * * * * * * * * * | 0 0 0 1 1 0 0 0 0
2 0 0 2 | 0 0 1 0 2 0 0 0 0 0 0 0 1 | * * * * * * * 24 * * * * * * * * * * * | 0 0 1 0 1 0 0 0 0
0 4 0 0 | 0 0 0 0 0 4 0 0 0 0 0 0 0 | * * * * * * * * 6 * * * * * * * * * * | 0 0 1 0 0 1 0 0 0 gocco ones
0 4 0 0 | 0 0 0 0 0 2 2 0 0 0 0 0 0 | * * * * * * * * * 12 * * * * * * * * * | 0 0 0 1 0 1 0 0 0 stop lacings
0 3 0 0 | 0 0 0 0 0 0 3 0 0 0 0 0 0 | * * * * * * * * * * 8 * * * * * * * * | 0 0 0 0 0 1 1 0 0
0 1 0 2 | 0 0 0 0 0 0 0 2 0 0 1 0 0 | * * * * * * * * * * * 24 * * * * * * * | 0 0 1 0 0 0 1 0 0
0 2 0 2 | 0 0 0 0 0 0 1 2 0 0 0 1 0 | * * * * * * * * * * * * 24 * * * * * * | 0 0 0 1 0 0 1 0 0
0 0 4 0 | 0 0 0 0 0 0 0 0 4 0 0 0 0 | * * * * * * * * * * * * * 6 * * * * * | 0 0 1 0 0 0 0 1 0 gocco ones
0 0 4 0 | 0 0 0 0 0 0 0 0 2 2 0 0 0 | * * * * * * * * * * * * * * 12 * * * * | 0 0 0 1 0 0 0 1 0 stop lacings
0 0 3 0 | 0 0 0 0 0 0 0 0 0 3 0 0 0 | * * * * * * * * * * * * * * * 8 * * * | 0 0 0 0 1 0 0 1 0
0 0 0 6 | 0 0 0 0 0 0 0 0 0 0 3 3 0 | * * * * * * * * * * * * * * * * 8 * * | 0 0 0 0 0 0 1 0 1
0 0 0 8 | 0 0 0 0 0 0 0 0 0 0 4 0 4 | * * * * * * * * * * * * * * * * * 6 * | 0 0 1 0 0 0 0 0 1 {8/3}
0 0 0 8 | 0 0 0 0 0 0 0 0 0 0 0 4 4 | * * * * * * * * * * * * * * * * * * 6 | 0 0 0 0 1 0 0 0 1 {8}
------------+----------------------------------------+------------------------------------------------+-------------------
48 0 0 0 | 24 24 24 0 0 0 0 0 0 0 0 0 0 | 8 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * cotco
6 0 3 0 | 3 3 0 6 0 0 0 0 0 3 0 0 0 | 1 0 0 0 3 3 0 0 0 0 0 0 0 0 0 1 0 0 0 | * 8 * * * * * * * tricu
8 4 4 8 | 4 0 4 8 8 4 0 8 4 0 4 0 4 | 0 1 0 4 4 0 0 4 1 0 0 4 0 1 0 0 0 1 0 | * * 6 * * * * * * gocco
4 4 4 4 | 0 2 0 4 4 2 2 4 2 2 0 2 0 | 0 0 0 2 0 2 2 0 0 1 0 0 2 0 1 0 0 0 0 | * * * 12 * * * * * stop
8 0 0 8 | 0 4 4 0 8 0 0 0 0 0 0 4 4 | 0 0 1 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 1 | * * * * 6 * * * * op
0 24 0 0 | 0 0 0 0 0 24 24 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 6 12 8 0 0 0 0 0 0 0 0 | * * * * * 1 * * * sirco
0 3 0 6 | 0 0 0 0 0 0 3 6 0 0 3 3 0 | 0 0 0 0 0 0 0 0 0 0 1 3 3 0 0 0 1 0 0 | * * * * * * 8 * * tricu
0 0 24 0 | 0 0 0 0 0 0 0 0 24 24 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 6 12 8 0 0 0 | * * * * * * * 1 * sirco
0 0 0 48 | 0 0 0 0 0 0 0 0 0 0 24 24 24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 6 6 | * * * * * * * * 1 cotco
or (using additional top-down symmetry):
96 * | 1 1 1 1 1 0 0 | 1 1 1 1 1 1 1 1 0 0 0 | 1 1 1 1 1 0
* 48 | 0 0 0 2 0 2 2 | 0 0 0 2 1 2 0 0 1 2 1 | 0 1 1 2 0 1
------+----------------------+----------------------------------+--------------
2 0 | 48 * * * * * * | 1 1 0 0 1 0 0 0 0 0 0 | 1 1 1 0 0 0 6-8/3
2 0 | * 48 * * * * * | 1 0 1 0 0 1 1 0 0 0 0 | 1 1 0 1 1 0 6-8
2 0 | * * 48 * * * * | 0 1 1 0 0 0 0 1 0 0 0 | 1 0 1 0 1 0 8/3-8
1 1 | * * * 96 * * * | 0 0 0 1 1 1 0 0 0 0 0 | 0 1 1 1 0 0
2 0 | * * * * 48 * * | 0 0 0 1 0 0 1 1 0 0 0 | 0 0 1 1 1 0 base connectors
0 2 | * * * * * 48 * | 0 0 0 1 0 0 0 0 1 1 0 | 0 0 1 1 0 1 gocco ones
0 2 | * * * * * * 48 | 0 0 0 0 0 1 0 0 0 1 1 | 0 1 0 1 0 1 stop lacings
------+----------------------+----------------------------------+--------------
6 0 | 3 3 0 0 0 0 0 | 16 * * * * * * * * * * | 1 1 0 0 0 0
8 0 | 4 0 4 0 0 0 0 | * 12 * * * * * * * * * | 1 0 1 0 0 0 {8/3}
8 0 | 0 4 4 0 0 0 0 | * * 12 * * * * * * * * | 1 0 0 0 1 0 {8}
4 4 | 0 0 0 4 2 2 0 | * * * 24 * * * * * * * | 0 0 1 1 0 0 {8/3}
2 1 | 1 0 0 2 0 0 0 | * * * * 48 * * * * * * | 0 1 1 0 0 0
2 2 | 0 1 0 2 0 0 1 | * * * * * 48 * * * * * | 0 1 0 1 0 0
4 0 | 0 2 0 0 2 0 0 | * * * * * * 24 * * * * | 0 0 0 1 1 0
4 0 | 0 0 2 0 2 0 0 | * * * * * * * 24 * * * | 0 0 1 0 1 0
0 4 | 0 0 0 0 0 4 0 | * * * * * * * * 12 * * | 0 0 1 0 0 1 gocco ones
0 4 | 0 0 0 0 0 2 2 | * * * * * * * * * 24 * | 0 0 0 1 0 1 stop lacings
0 3 | 0 0 0 0 0 0 3 | * * * * * * * * * * 16 | 0 1 0 0 0 1
------+----------------------+----------------------------------+--------------
48 0 | 24 24 24 0 0 0 0 | 8 6 6 0 0 0 0 0 0 0 0 | 2 * * * * * cotco
6 3 | 3 3 0 6 0 0 3 | 1 0 0 0 3 3 0 0 0 0 1 | * 16 * * * * tricu
16 8 | 8 0 8 16 8 8 0 | 0 2 0 4 8 0 0 4 2 0 0 | * * 6 * * * gocco
8 8 | 0 4 0 8 4 4 4 | 0 0 0 2 0 4 2 0 0 2 0 | * * * 12 * * stop
16 0 | 0 8 8 0 8 0 0 | 0 0 2 0 0 0 4 4 0 0 0 | * * * * 6 * op
0 24 | 0 0 0 0 0 24 24 | 0 0 0 0 0 0 0 0 6 12 8 | * * * * * 2 sirco
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