Acronym | ... |
Name | oxqwQ wxwxx3ooxxx4qwoxo&#zx |
Face vector | 264, 768, 648, 144 |
Confer |
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The relation to spic runs as follows: spic in demitessic subsymmetry can be given as oxqwQ 2 qowxx 3 xxooo 4 oxoxo &#zx. That will be transformed into oxqwQ 2 wowxx 3 (-x)xooo 4 qxoxo &#zx (faceting, same vertex set). This in turn will be transformed into oxqwQ 2 wxwxx 3 (-x)(-x)ooo 4 qwoxo &#zx (other faceting, still same vertex set). Then a Stott expansion wrt. the third node produces this polychoron.
Here: Q=w+x=q+u.
Incidence matrix according to Dynkin symbol
oxqwQ wxwxx3ooxxx4qwoxo&#zx → all heights = 0 – except those of the not existing lacings o.... o....3o....4o.... | 24 * * * * | 2 4 0 0 0 0 0 0 0 0 0 0 0 | 1 2 2 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 1 2 0 0 0 0 0 0 .o... .o...3.o...4.o... | * 48 * * * | 1 0 1 2 2 0 0 0 0 0 0 0 0 | 1 0 0 2 2 1 2 1 0 0 0 0 0 0 0 0 0 0 | 2 0 1 1 1 0 0 0 0 ..o.. ..o..3..o..4..o.. | * * 48 * * | 0 2 0 0 0 2 2 0 0 0 0 0 0 | 0 2 1 2 0 0 0 0 1 2 1 0 0 0 0 0 0 0 | 1 1 2 0 0 1 0 0 0 ...o. ...o.3...o.4...o. | * * * 96 * | 0 0 0 0 1 0 1 1 1 1 1 0 0 | 0 0 0 1 0 0 1 1 0 1 1 1 1 1 1 1 0 0 | 1 0 1 0 1 1 1 1 0 ....o ....o3....o4....o | * * * * 48 | 0 0 0 0 0 0 0 0 0 0 2 1 2 | 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 1 | 0 0 0 0 0 1 2 1 1 ----------------------------+----------------+----------------------------------------+-------------------------------------------------------+------------------------ oo... oo...3oo...4oo...&#x | 1 1 0 0 0 | 48 * * * * * * * * * * * * | 1 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 0 1 0 0 0 0 0 0 o.o.. o.o..3o.o..4o.o..&#x | 1 0 1 0 0 | * 96 * * * * * * * * * * * | 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 0 .x... ..... ..... ..... | 0 2 0 0 0 | * * 24 * * * * * * * * * * | 1 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 0 0 1 0 0 0 0 0 ..... .x... ..... ..... | 0 2 0 0 0 | * * * 48 * * * * * * * * * | 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 | 1 0 0 1 1 0 0 0 0 .o.o. .o.o.3.o.o.4.o.o.&#x | 0 1 0 1 0 | * * * * 96 * * * * * * * * | 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 | 1 0 1 0 1 0 0 0 0 ..... ..... ..x.. ..... | 0 0 2 0 0 | * * * * * 48 * * * * * * * | 0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 | 0 1 1 0 0 1 0 0 0 ..oo. ..oo.3..oo.4..oo.&#x | 0 0 1 1 0 | * * * * * * 96 * * * * * * | 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 | 1 0 1 0 0 1 0 0 0 ..... ...x. ..... ..... | 0 0 0 2 0 | * * * * * * * 48 * * * * * | 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 | 1 0 0 0 1 0 1 1 0 ..... ..... ...x. ..... | 0 0 0 2 0 | * * * * * * * * 48 * * * * | 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 0 0 0 | 0 0 1 0 1 1 1 0 0 ..... ..... ..... ...x. | 0 0 0 2 0 | * * * * * * * * * 48 * * * | 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 | 1 0 0 0 0 1 0 1 0 ...oo ...oo3...oo4...oo&#x | 0 0 0 1 1 | * * * * * * * * * * 96 * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 | 0 0 0 0 0 1 1 1 0 ..... ....x ..... ..... | 0 0 0 0 2 | * * * * * * * * * * * 24 * | 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 | 0 0 0 0 0 0 2 1 1 ..... ..... ....x ..... | 0 0 0 0 2 | * * * * * * * * * * * * 48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 | 0 0 0 0 0 1 1 0 1 ----------------------------+----------------+----------------------------------------+-------------------------------------------------------+------------------------ ox... ..... ..... .....&#x | 1 2 0 0 0 | 2 0 1 0 0 0 0 0 0 0 0 0 0 | 24 * * * * * * * * * * * * * * * * * | 2 0 0 0 0 0 0 0 0 ..... ..... o.x.. .....&#x | 1 0 2 0 0 | 0 2 0 0 0 1 0 0 0 0 0 0 0 | * 48 * * * * * * * * * * * * * * * * | 0 1 1 0 0 0 0 0 0 o.q.. ..... ..... q.o..&#zx | 2 0 2 0 0 | 0 4 0 0 0 0 0 0 0 0 0 0 0 | * * 24 * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 oooo. oooo.3oooo.4oooo.&#xr | 1 1 1 1 0 | 1 1 0 0 1 0 1 0 0 0 0 0 0 | * * * 96 * * * * * * * * * * * * * * | 1 0 1 0 0 0 0 0 0 cycle: (ABDC) .x... .x... ..... ..... | 0 4 0 0 0 | 0 0 2 2 0 0 0 0 0 0 0 0 0 | * * * * 24 * * * * * * * * * * * * * | 1 0 0 1 0 0 0 0 0 ..... .x...3.o... ..... | 0 3 0 0 0 | 0 0 0 3 0 0 0 0 0 0 0 0 0 | * * * * * 16 * * * * * * * * * * * * | 0 0 0 1 1 0 0 0 0 ..... .x.x. ..... .....&#x | 0 2 0 2 0 | 0 0 0 1 2 0 0 1 0 0 0 0 0 | * * * * * * 48 * * * * * * * * * * * | 1 0 0 0 1 0 0 0 0 ..... ..... .o.x. .....&#x | 0 1 0 2 0 | 0 0 0 0 2 0 0 0 1 0 0 0 0 | * * * * * * * 48 * * * * * * * * * * | 0 0 1 0 1 0 0 0 0 ..... ..... ..x..4..o.. | 0 0 4 0 0 | 0 0 0 0 0 4 0 0 0 0 0 0 0 | * * * * * * * * 12 * * * * * * * * * | 0 1 0 0 0 1 0 0 0 ..... ..... ..xx. .....&#x | 0 0 2 2 0 | 0 0 0 0 0 1 2 0 1 0 0 0 0 | * * * * * * * * * 48 * * * * * * * * | 0 0 1 0 0 1 0 0 0 ..... ..... ..... ..ox.&#x | 0 0 1 2 0 | 0 0 0 0 0 0 2 0 0 1 0 0 0 | * * * * * * * * * * 48 * * * * * * * | 1 0 0 0 0 1 0 0 0 ..... ...x.3...x. ..... | 0 0 0 6 0 | 0 0 0 0 0 0 0 3 3 0 0 0 0 | * * * * * * * * * * * 16 * * * * * * | 0 0 0 0 1 0 1 0 0 ..... ...x. ..... ...x. | 0 0 0 4 0 | 0 0 0 0 0 0 0 2 0 2 0 0 0 | * * * * * * * * * * * * 24 * * * * * | 1 0 0 0 0 0 0 1 0 ..... ...xx ..... .....&#x | 0 0 0 2 2 | 0 0 0 0 0 0 0 1 0 0 2 1 0 | * * * * * * * * * * * * * 48 * * * * | 0 0 0 0 0 0 1 1 0 ..... ..... ...xx .....&#x | 0 0 0 2 2 | 0 0 0 0 0 0 0 0 1 0 2 0 1 | * * * * * * * * * * * * * * 48 * * * | 0 0 0 0 0 1 1 0 0 ..... ..... ..... ...xo&#x | 0 0 0 2 1 | 0 0 0 0 0 0 0 0 0 1 2 0 0 | * * * * * * * * * * * * * * * 48 * * | 0 0 0 0 0 1 0 1 0 ..... ....x3....x ..... | 0 0 0 0 6 | 0 0 0 0 0 0 0 0 0 0 0 3 3 | * * * * * * * * * * * * * * * * 16 * | 0 0 0 0 0 0 1 0 1 ..... ..... ....x4....o | 0 0 0 0 4 | 0 0 0 0 0 0 0 0 0 0 0 0 4 | * * * * * * * * * * * * * * * * * 12 | 0 0 0 0 0 1 0 0 1 ----------------------------+----------------+----------------------------------------+-------------------------------------------------------+------------------------ oxqw. wxwx. ..... qwox.&#zx ♦ 4 8 4 8 0 | 8 8 4 4 8 0 8 4 0 4 0 0 0 | 4 0 2 8 2 0 4 0 0 0 4 0 2 0 0 0 0 0 | 12 * * * * * * * * o.q.. ..... o.x..4q.o..&#zx ♦ 4 0 8 0 0 | 0 16 0 0 0 8 0 0 0 0 0 0 0 | 0 8 4 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 | * 6 * * * * * * * ..... ..... ooxx. .....&#xr ♦ 1 1 2 2 0 | 1 2 0 0 2 1 2 0 1 0 0 0 0 | 0 1 0 2 0 0 0 1 0 1 0 0 0 0 0 0 0 0 | * * 48 * * * * * * cycle: (ABDC) .x... .x...3.o... ..... ♦ 0 6 0 0 0 | 0 0 3 6 0 0 0 0 0 0 0 0 0 | 0 0 0 0 3 2 0 0 0 0 0 0 0 0 0 0 0 0 | * * * 8 * * * * * ..... .x.x.3.o.x. .....&#x ♦ 0 3 0 6 0 | 0 0 0 3 6 0 0 3 3 0 0 0 0 | 0 0 0 0 0 1 3 3 0 0 0 1 0 0 0 0 0 0 | * * * * 16 * * * * ..... ..... ..xxx4..oxo&#xt ♦ 0 0 4 8 4 | 0 0 0 0 0 4 8 0 4 4 8 0 4 | 0 0 0 0 0 0 0 0 1 4 4 0 0 0 4 4 0 1 | * * * * * 12 * * * ..... ...xx3...xx .....&#x ♦ 0 0 0 6 6 | 0 0 0 0 0 0 0 3 3 0 6 3 3 | 0 0 0 0 0 0 0 0 0 0 0 1 0 3 3 0 1 0 | * * * * * * 16 * * ..... ...xx ..... ...xo&#x ♦ 0 0 0 4 2 | 0 0 0 0 0 0 0 2 0 2 4 1 0 | 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 0 0 | * * * * * * * 24 * ..... ....x3....x4....o ♦ 0 0 0 0 24 | 0 0 0 0 0 0 0 0 0 0 0 12 24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 6 | * * * * * * * * 2
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