Acronym | ... |
Name | oFfoo3ooxxF3Fxoxo3ooffx&#zx |
Face vector | 190, 660, 650, 180 |
Confer |
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The relation to ex runs as follows: ex in pentic subsymmetry can be given as xffoo3oxoof3fooxo3ooffx&#zx. That will be transformed into (-x)ffoo3xxoof3fooxo3ooffx&#zx. Then into offoo3(-x)xoof3Fooxo3ooffx&#zx. Finally once more into oFfoo3(-x)(-x)oof3Fxoxo3ooffx&#zx. Then a Stott expansion wrt. the second node produces this polychoron.
The non-existing lacings calculate to vertex distances according to f=(1+sqrt(5))/2.
Incidence matrix according to Dynkin symbol
oFfoo3ooxxF3Fxoxo3ooffx&#zx → all heights = 0 – except those of the not existing lacing(1,2), lacing(1,3), lacing(1,5), lacing(2,4), and lacing(2,5) o....3o....3o....3o.... | 10 * * * * ♦ 6 0 0 0 0 0 0 0 0 0 | 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 3 0 0 0 0 0 0 .o...3.o...3.o...3.o... | * 30 * * * | 0 4 4 0 0 0 0 0 0 0 | 0 0 2 2 2 4 2 0 0 0 0 0 0 0 0 | 0 1 1 2 2 0 0 0 ..o..3..o..3..o..3..o.. | * * 60 * * | 0 0 2 2 2 1 0 0 0 0 | 0 0 0 0 2 1 2 1 2 1 2 0 0 0 0 | 0 2 0 1 1 1 1 0 ...o.3...o.3...o.3...o. | * * * 60 * | 1 0 0 0 2 0 2 1 1 0 | 2 1 0 0 0 0 0 0 2 2 2 1 2 1 0 | 1 2 0 0 0 2 2 1 ....o3....o3....o3....o | * * * * 30 | 0 0 0 0 0 2 0 0 2 2 | 0 2 0 0 0 0 4 0 0 0 4 0 0 1 1 | 0 4 0 0 2 0 2 0 ----------------------------+----------------+---------------------------------+-----------------------------------------------+---------------------- o..o.3o..o.3o..o.3o..o.&#x | 1 0 0 1 0 | 60 * * * * * * * * * | 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 2 0 0 0 0 0 0 ..... ..... .x... ..... | 0 2 0 0 0 | * 60 * * * * * * * * | 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 | 0 0 1 1 1 0 0 0 .oo..3.oo..3.oo..3.oo..&#x | 0 1 1 0 0 | * * 120 * * * * * * * | 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 | 0 1 0 1 1 0 0 0 ..... ..x.. ..... ..... | 0 0 2 0 0 | * * * 60 * * * * * * | 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 | 0 1 0 1 0 1 0 0 ..oo.3..oo.3..oo.3..oo.&#x | 0 0 1 1 0 | * * * * 120 * * * * * | 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 | 0 1 0 0 0 1 1 0 ..o.o3..o.o3..o.o3..o.o&#x | 0 0 1 0 1 | * * * * * 60 * * * * | 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 | 0 2 0 0 1 0 1 0 ..... ...x. ..... ..... | 0 0 0 2 0 | * * * * * * 60 * * * | 1 0 0 0 0 0 0 0 1 0 0 1 1 0 0 | 1 1 0 0 0 1 0 1 ..... ..... ...x. ..... | 0 0 0 2 0 | * * * * * * * 30 * * | 0 0 0 0 0 0 0 0 0 2 0 0 2 1 0 | 0 0 0 0 0 2 2 1 ...oo3...oo3...oo3...oo&#x | 0 0 0 1 1 | * * * * * * * * 60 * | 0 1 0 0 0 0 0 0 0 0 2 0 0 1 0 | 0 2 0 0 0 0 2 0 ..... ..... ..... ....x | 0 0 0 0 2 | * * * * * * * * * 30 | 0 1 0 0 0 0 2 0 0 0 0 0 0 0 1 | 0 2 0 0 2 0 0 0 ----------------------------+----------------+---------------------------------+-----------------------------------------------+---------------------- ..... o..x. ..... .....&#x | 1 0 0 2 0 | 2 0 0 0 0 0 1 0 0 0 | 60 * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 ..... ..... ..... o..fx&#zx | 1 0 0 2 2 | 2 0 0 0 0 0 0 0 2 1 | * 30 * * * * * * * * * * * * * | 0 2 0 0 0 0 0 0 ..... .o...3.x... ..... | 0 3 0 0 0 | 0 3 0 0 0 0 0 0 0 0 | * * 20 * * * * * * * * * * * * | 0 0 1 1 0 0 0 0 ..... ..... .x...3.o... | 0 3 0 0 0 | 0 3 0 0 0 0 0 0 0 0 | * * * 20 * * * * * * * * * * * | 0 0 1 0 1 0 0 0 ..... .ox.. ..... .....&#x | 0 1 2 0 0 | 0 0 2 1 0 0 0 0 0 0 | * * * * 60 * * * * * * * * * * | 0 1 0 1 0 0 0 0 ..... ..... .xo.. .....&#x | 0 2 1 0 0 | 0 1 2 0 0 0 0 0 0 0 | * * * * * 60 * * * * * * * * * | 0 0 0 1 1 0 0 0 ..... ..... ..... .of.x&#zx | 0 1 2 0 2 | 0 0 2 0 0 2 0 0 0 1 | * * * * * * 60 * * * * * * * * | 0 1 0 0 1 0 0 0 ..... ..x..3..o.. ..... | 0 0 3 0 0 | 0 0 0 3 0 0 0 0 0 0 | * * * * * * * 20 * * * * * * * | 0 0 0 1 0 1 0 0 ..... ..xx. ..... .....&#x | 0 0 2 2 0 | 0 0 0 1 2 0 1 0 0 0 | * * * * * * * * 60 * * * * * * | 0 1 0 0 0 1 0 0 ..... ..... ..ox. .....&#x | 0 0 1 2 0 | 0 0 0 0 2 0 0 1 0 0 | * * * * * * * * * 60 * * * * * | 0 0 0 0 0 1 1 0 ..ooo3..ooo3..ooo3..ooo&#x | 0 0 1 1 1 | 0 0 0 0 1 1 0 0 1 0 | * * * * * * * * * * 120 * * * * | 0 1 0 0 0 0 1 0 ...o.3...x. ..... ..... | 0 0 0 3 0 | 0 0 0 0 0 0 3 0 0 0 | * * * * * * * * * * * 20 * * * | 1 0 0 0 0 0 0 1 ..... ...x.3...x. ..... | 0 0 0 6 0 | 0 0 0 0 0 0 3 3 0 0 | * * * * * * * * * * * * 20 * * | 0 0 0 0 0 1 0 1 ..... ..... ...xo .....&#x | 0 0 0 2 1 | 0 0 0 0 0 0 0 1 2 0 | * * * * * * * * * * * * * 30 * | 0 0 0 0 0 0 2 0 ..... ..... ....o3....x | 0 0 0 0 3 | 0 0 0 0 0 0 0 0 0 3 | * * * * * * * * * * * * * * 10 | 0 0 0 0 2 0 0 0 ----------------------------+----------------+---------------------------------+-----------------------------------------------+---------------------- o..o.3o..x. ..... .....&#x ♦ 1 0 0 3 0 | 3 0 0 0 0 0 3 0 0 0 | 3 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 20 * * * * * * * ..... ooxxF ..... ooffx&#zx ♦ 1 1 4 4 4 | 4 0 4 2 4 4 2 0 4 2 | 2 2 0 0 2 0 2 0 2 0 4 0 0 0 0 | * 30 * * * * * * (tower: 14532) ..... .o...3.x...3.o... ♦ 0 6 0 0 0 | 0 12 0 0 0 0 0 0 0 0 | 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 | * * 5 * * * * * ..... .ox..3.xo.. .....&#x ♦ 0 3 3 0 0 | 0 3 6 3 0 0 0 0 0 0 | 0 0 1 0 3 3 0 1 0 0 0 0 0 0 0 | * * * 20 * * * * ..... ..... .xo.o3.of.x&#xt ♦ 0 3 3 0 3 | 0 3 6 0 0 3 0 0 0 3 | 0 0 0 1 0 3 3 0 0 0 0 0 0 0 1 | * * * * 20 * * * ..... ..xx.3..ox. .....&#x ♦ 0 0 3 6 0 | 0 0 0 3 6 0 3 3 0 0 | 0 0 0 0 0 0 0 1 3 3 0 0 1 0 0 | * * * * * 20 * * ..... ..... ..oxo .....&#x ♦ 0 0 1 2 1 | 0 0 0 0 2 1 0 1 2 0 | 0 0 0 0 0 0 0 0 0 1 2 0 0 1 0 | * * * * * * 60 * ...o.3...x.3...x. ..... ♦ 0 0 0 12 0 | 0 0 0 0 0 0 12 6 0 0 | 0 0 0 0 0 0 0 0 0 0 0 4 4 0 0 | * * * * * * * 5
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