Acronym | ... |
Name | xFfoo3xoxxF3fxoxo3ooffx&#zx |
Face vector | 240, 1080, 1320, 480 |
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 xFfoo3o(-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
xFfoo3xoxxF3fxoxo3ooffx&#zx → all heights = 0 – except those of the not existing lacing(2,4) resp. lacing(2,5). o....3o....3o....3o.... | 60 * * * * | 1 1 1 2 2 2 0 0 0 0 0 0 0 0 0 | 1 1 2 2 2 2 1 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 | 2 1 2 2 1 2 2 0 0 0 0 0 .o...3.o...3.o...3.o... | * 30 * * * | 0 0 2 0 0 0 4 4 0 0 0 0 0 0 0 | 0 1 0 0 0 0 0 4 0 0 0 2 2 2 4 0 0 0 0 0 0 0 0 | 0 0 0 2 2 0 0 1 2 0 0 0 ..o..3..o..3..o..3..o.. | * * 60 * * | 0 0 0 2 0 0 0 2 2 2 1 0 0 0 0 | 0 0 2 0 0 0 0 2 2 2 0 0 0 2 1 1 2 1 2 0 0 0 0 | 0 0 0 2 1 2 2 0 1 1 1 0 ...o.3...o.3...o.3...o. | * * * 60 * | 0 0 0 0 2 0 0 0 0 2 0 2 1 1 0 | 0 0 0 1 2 0 0 0 2 0 2 0 0 0 0 0 2 2 2 1 2 1 0 | 1 0 1 0 0 2 2 0 0 2 2 1 ....o3....o3....o3....o | * * * * 30 | 0 0 0 0 0 4 0 0 0 0 2 0 0 2 2 | 0 0 0 0 0 2 4 0 0 4 4 0 0 0 0 0 0 0 4 0 0 1 1 | 0 2 2 0 2 0 4 0 0 0 2 0 ----------------------------+----------------+---------------------------------------------------+---------------------------------------------------------------------------+----------------------------------- x.... ..... ..... ..... | 2 0 0 0 0 | 30 * * * * * * * * * * * * * * | 1 0 0 2 0 2 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 ..... x.... ..... ..... | 2 0 0 0 0 | * 30 * * * * * * * * * * * * * | 1 1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 0 0 2 0 2 0 0 0 0 0 0 oo...3oo...3oo...3oo...&#x | 1 1 0 0 0 | * * 60 * * * * * * * * * * * * | 0 1 0 0 0 0 0 2 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 o.o..3o.o..3o.o..3o.o..&#x | 1 0 1 0 0 | * * * 120 * * * * * * * * * * * | 0 0 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 1 1 1 1 0 0 0 0 0 o..o.3o..o.3o..o.3o..o.&#x | 1 0 0 1 0 | * * * * 120 * * * * * * * * * * | 0 0 0 1 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 1 0 0 1 1 0 0 0 0 0 o...o3o...o3o...o3o...o&#x | 1 0 0 0 1 | * * * * * 120 * * * * * * * * * | 0 0 0 0 0 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 1 0 1 0 1 0 0 0 0 0 ..... ..... .x... ..... | 0 2 0 0 0 | * * * * * * 60 * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 | 0 0 0 0 1 0 0 1 1 0 0 0 .oo..3.oo..3.oo..3.oo..&#x | 0 1 1 0 0 | * * * * * * * 120 * * * * * * * | 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 | 0 0 0 1 1 0 0 0 1 0 0 0 ..... ..x.. ..... ..... | 0 0 2 0 0 | * * * * * * * * 60 * * * * * * | 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 | 0 0 0 1 0 1 0 0 1 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 0 0 0 0 0 0 0 1 1 1 0 0 0 0 | 0 0 0 0 0 1 1 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 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 | 0 0 0 0 1 0 2 0 0 0 1 0 ..... ...x. ..... ..... | 0 0 0 2 0 | * * * * * * * * * * * 60 * * * | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 | 1 0 0 0 0 1 0 0 0 1 0 1 ..... ..... ...x. ..... | 0 0 0 2 0 | * * * * * * * * * * * * 30 * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 1 0 | 0 0 0 0 0 0 0 0 0 2 2 1 ...oo3...oo3...oo3...oo&#x | 0 0 0 1 1 | * * * * * * * * * * * * * 60 * | 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 1 0 | 0 0 1 0 0 0 2 0 0 0 2 0 ..... ..... ..... ....x | 0 0 0 0 2 | * * * * * * * * * * * * * * 30 | 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 0 1 0 0 2 0 0 0 0 0 0 0 ----------------------------+----------------+---------------------------------------------------+---------------------------------------------------------------------------+----------------------------------- x....3x.... ..... ..... | 6 0 0 0 0 | 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10 * * * * * * * * * * * * * * * * * * * * * * | 2 0 0 0 0 0 0 0 0 0 0 0 ..... xo... ..... .....&#x | 2 1 0 0 0 | 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 | * 30 * * * * * * * * * * * * * * * * * * * * * | 0 0 0 2 0 0 0 0 0 0 0 0 ..... x.x.. ..... .....&#x | 2 0 2 0 0 | 0 1 0 2 0 0 0 0 1 0 0 0 0 0 0 | * * 60 * * * * * * * * * * * * * * * * * * * * | 0 0 0 1 0 1 0 0 0 0 0 0 x..o. ..... ..... .....&#x | 2 0 0 1 0 | 1 0 0 0 2 0 0 0 0 0 0 0 0 0 0 | * * * 60 * * * * * * * * * * * * * * * * * * * | 1 0 1 0 0 0 0 0 0 0 0 0 ..... x..x. ..... .....&#x | 2 0 0 2 0 | 0 1 0 0 2 0 0 0 0 0 0 1 0 0 0 | * * * * 60 * * * * * * * * * * * * * * * * * * | 1 0 0 0 0 1 0 0 0 0 0 0 x...o ..... ..... .....&#x | 2 0 0 0 1 | 1 0 0 0 0 2 0 0 0 0 0 0 0 0 0 | * * * * * 60 * * * * * * * * * * * * * * * * * | 0 1 1 0 0 0 0 0 0 0 0 0 ..... ..... ..... o...x&#x | 1 0 0 0 2 | 0 0 0 0 0 2 0 0 0 0 0 0 0 0 1 | * * * * * * 60 * * * * * * * * * * * * * * * * | 0 1 0 0 1 0 0 0 0 0 0 0 ooo..3ooo..3ooo..3ooo..&#x | 1 1 1 0 0 | 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 | * * * * * * * 120 * * * * * * * * * * * * * * * | 0 0 0 1 1 0 0 0 0 0 0 0 o.oo.3o.oo.3o.oo.3o.oo.&#x | 1 0 1 1 0 | 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 | * * * * * * * * 120 * * * * * * * * * * * * * * | 0 0 0 0 0 1 1 0 0 0 0 0 o.o.o3o.o.o3o.o.o3o.o.o&#x | 1 0 1 0 1 | 0 0 0 1 0 1 0 0 0 0 1 0 0 0 0 | * * * * * * * * * 120 * * * * * * * * * * * * * | 0 0 0 0 1 0 1 0 0 0 0 0 o..oo3o..oo3o..oo3o..oo&#x | 1 0 0 1 1 | 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 | * * * * * * * * * * 120 * * * * * * * * * * * * | 0 0 1 0 0 0 1 0 0 0 0 0 ..... .o...3.x... ..... | 0 3 0 0 0 | 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 | * * * * * * * * * * * 20 * * * * * * * * * * * | 0 0 0 0 0 0 0 1 1 0 0 0 ..... ..... .x...3.o... | 0 3 0 0 0 | 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * 20 * * * * * * * * * * | 0 0 0 0 1 0 0 1 0 0 0 0 ..... .ox.. ..... .....&#x | 0 1 2 0 0 | 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 | * * * * * * * * * * * * * 60 * * * * * * * * * | 0 0 0 1 0 0 0 0 1 0 0 0 ..... ..... .xo.. .....&#x | 0 2 1 0 0 | 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * 60 * * * * * * * * | 0 0 0 0 1 0 0 0 1 0 0 0 ..... ..x..3..o.. ..... | 0 0 3 0 0 | 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 | * * * * * * * * * * * * * * * 20 * * * * * * * | 0 0 0 0 0 0 0 0 1 1 0 0 ..... ..xx. ..... .....&#x | 0 0 2 2 0 | 0 0 0 0 0 0 0 0 1 2 0 1 0 0 0 | * * * * * * * * * * * * * * * * 60 * * * * * * | 0 0 0 0 0 1 0 0 0 1 0 0 ..... ..... ..ox. .....&#x | 0 0 1 2 0 | 0 0 0 0 0 0 0 0 0 2 0 0 1 0 0 | * * * * * * * * * * * * * * * * * 60 * * * * * | 0 0 0 0 0 0 0 0 0 1 1 0 ..ooo3..ooo3..ooo3..ooo&#x | 0 0 1 1 1 | 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 | * * * * * * * * * * * * * * * * * * 120 * * * * | 0 0 0 0 0 0 1 0 0 0 1 0 ...o.3...x. ..... ..... | 0 0 0 3 0 | 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 | * * * * * * * * * * * * * * * * * * * 20 * * * | 1 0 0 0 0 0 0 0 0 0 0 1 ..... ...x.3...x. ..... | 0 0 0 6 0 | 0 0 0 0 0 0 0 0 0 0 0 3 3 0 0 | * * * * * * * * * * * * * * * * * * * * 20 * * | 0 0 0 0 0 0 0 0 0 1 0 1 ..... ..... ...xo .....&#x | 0 0 0 2 1 | 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 | * * * * * * * * * * * * * * * * * * * * * 30 * | 0 0 0 0 0 0 0 0 0 0 2 0 ..... ..... ....o3....x | 0 0 0 0 3 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 | * * * * * * * * * * * * * * * * * * * * * * 10 | 0 0 0 0 2 0 0 0 0 0 0 0 ----------------------------+----------------+---------------------------------------------------+---------------------------------------------------------------------------+----------------------------------- x..o.3x..x. ..... .....&#x ♦ 6 0 0 3 0 | 3 3 0 0 6 0 0 0 0 0 0 3 0 0 0 | 1 0 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 20 * * * * * * * * * * * x...o ..... ..... o...x&#x ♦ 2 0 0 0 2 | 1 0 0 0 0 4 0 0 0 0 0 0 0 0 1 | 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 30 * * * * * * * * * * x..oo ..... ..... .....&#x ♦ 2 0 0 1 1 | 1 0 0 0 2 2 0 0 0 0 0 0 0 1 0 | 0 0 0 1 0 1 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 | * * 60 * * * * * * * * * ..... xox.. ..... .....&#x ♦ 2 1 2 0 0 | 0 1 2 2 0 0 0 2 1 0 0 0 0 0 0 | 0 1 1 0 0 0 0 2 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | * * * 60 * * * * * * * * ..... ..... fxo.o3oof.x&#xt ♦ 3 3 3 0 3 | 0 0 3 6 0 6 3 6 0 0 3 0 0 0 3 | 0 0 0 0 0 0 3 6 0 6 0 0 1 0 3 0 0 0 0 0 0 0 1 | * * * * 20 * * * * * * * tower: B-C-A-D ..... x.xx. ..... .....&#x ♦ 2 0 2 2 0 | 0 1 0 2 2 0 0 0 1 2 0 1 0 0 0 | 0 0 1 0 1 0 0 0 2 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | * * * * * 60 * * * * * * o.ooo3o.ooo3o.ooo3o.ooo&#x ♦ 1 0 1 1 1 | 0 0 0 1 1 1 0 0 0 1 1 0 0 1 0 | 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 0 0 0 0 | * * * * * * 120 * * * * * ..... .o...3.x...3.o... ♦ 0 6 0 0 0 | 0 0 0 0 0 0 12 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 | * * * * * * * 5 * * * * ..... .ox..3.xo.. .....&#x ♦ 0 3 3 0 0 | 0 0 0 0 0 0 3 6 3 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 1 0 3 3 1 0 0 0 0 0 0 0 | * * * * * * * * 20 * * * ..... ..xx.3..ox. .....&#x ♦ 0 0 3 6 0 | 0 0 0 0 0 0 0 0 3 6 0 3 3 0 0 | 0 0 0 0 0 0 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 0 0 0 0 0 2 1 0 1 2 0 | 0 0 0 0 0 0 0 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 0 0 0 0 0 12 6 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 0 | * * * * * * * * * * * 5
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