Acronym | ... |
Name | oFFxx3xxoof3fooxx3xxFFo&#zx |
Face vector | 260, 900, 840, 200 |
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 (-x)ffoo3xxoof3fooxx3ooff(-x)&#zx. Finally a Stott expansion wrt. the first and fourth 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
oFFxx3xxoof3fooxx3xxFFo&#zx → all heights = 0 – except those of the not existing lacing(1,2), lacing(1,3), lacing(2,4), lacing(3,5), and lacing(4,5) o....3o....3o....3o.... & | 120 * * | 2 1 2 2 0 0 0 | 1 2 1 2 3 0 0 0 0 0 | 1 1 1 3 0 0 .o...3.o...3.o...3.o... & | * 120 * | 0 0 2 0 2 2 1 | 0 0 2 1 0 1 2 1 2 2 | 0 1 0 3 1 1 ..o..3..o..3..o..3..o.. | * * 20 | 0 0 0 0 0 0 6 | 0 0 0 0 0 0 0 0 6 6 | 0 0 0 6 0 2 ------------------------------+------------+----------------------------+------------------------------------+------------------ ..... x.... ..... ..... & | 2 0 0 | 120 * * * * * * | 1 1 0 1 0 0 0 0 0 0 | 1 1 0 1 0 0 ..... ..... ..... x.... & | 2 0 0 | * 60 * * * * * | 0 2 0 0 2 0 0 0 0 0 | 1 0 1 2 0 0 o..o.3o..o.3o..o.3o..o.&#x & | 1 1 0 | * * 240 * * * * | 0 0 1 1 0 0 0 0 0 1 | 0 1 0 2 0 0 o...o3o...o3o...o3o...o&#x | 2 0 0 | * * * 120 * * * | 0 0 0 0 2 0 0 0 0 1 | 0 0 1 2 0 0 ..... .x... ..... ..... & | 0 2 0 | * * * * 120 * * | 0 0 0 0 0 1 1 0 1 0 | 0 0 0 1 1 1 ..... ..... ..... .x... & | 0 2 0 | * * * * * 120 * | 0 0 1 0 0 0 1 1 0 0 | 0 1 0 1 1 0 .oo..3.oo..3.oo..3.oo..&#x & | 0 1 1 | * * * * * * 120 | 0 0 0 0 0 0 0 0 2 2 | 0 0 0 3 0 1 ------------------------------+------------+----------------------------+------------------------------------+------------------ o....3x.... ..... ..... & | 3 0 0 | 3 0 0 0 0 0 0 | 40 * * * * * * * * * | 1 1 0 0 0 0 ..... x.... ..... x.... & | 4 0 0 | 2 2 0 0 0 0 0 | * 60 * * * * * * * * | 1 0 0 1 0 0 o..x. ..... ..... .....&#x & | 1 2 0 | 0 0 2 0 0 1 0 | * * 120 * * * * * * * | 0 1 0 1 0 0 ..... x..o. ..... .....&#x & | 2 1 0 | 1 0 2 0 0 0 0 | * * * 120 * * * * * * | 0 1 0 1 0 0 o...x ..... ..... .....&#x & | 3 0 0 | 0 1 0 2 0 0 0 | * * * * 120 * * * * * | 0 0 1 1 0 0 ..... .x...3.o... ..... & | 0 3 0 | 0 0 0 0 3 0 0 | * * * * * 40 * * * * | 0 0 0 0 1 1 ..... .x... ..... .x... & | 0 4 0 | 0 0 0 0 2 2 0 | * * * * * * 60 * * * | 0 0 0 1 1 0 ..... ..... .o...3.x... & | 0 3 0 | 0 0 0 0 0 3 0 | * * * * * * * 40 * * | 0 1 0 0 1 0 ..... .xo.. ..... .....&#x & | 0 2 1 | 0 0 0 0 1 0 2 | * * * * * * * * 120 * | 0 0 0 1 0 1 ooooo3ooooo3ooooo3ooooo&#x | 2 2 1 | 0 0 2 1 0 0 2 | * * * * * * * * * 120 | 0 0 0 2 0 0 ------------------------------+------------+----------------------------+------------------------------------+------------------ o....3x.... ..... x.... & ♦ 6 0 0 | 6 3 0 0 0 0 0 | 2 3 0 0 0 0 0 0 0 0 | 20 * * * * * o..x.3x..o. ..... .....&#x & ♦ 3 3 0 | 3 0 6 0 0 3 0 | 1 0 3 3 0 0 0 1 0 0 | * 40 * * * * o...x ..... ..... x...o&#x ♦ 4 0 0 | 0 2 0 4 0 0 0 | 0 0 0 0 4 0 0 0 0 0 | * * 30 * * * oFFxx ..... fooxx .....&#zx & ♦ 6 6 2 | 2 2 8 4 2 2 6 | 0 1 2 2 2 0 1 0 2 4 | * * * 60 * * (tower: 43125) ..... .x...3.o...3.x... & ♦ 0 12 0 | 0 0 0 0 12 12 0 | 0 0 0 0 0 4 6 4 0 0 | * * * * 10 * ..... .xo..3.oo.. .....&#x & ♦ 0 3 1 | 0 0 0 0 3 0 3 | 0 0 0 0 0 1 0 0 3 0 | * * * * * 40
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