Acronym | ... |
Name | Ffxo oxFx3xfox5xoxx&#zx |
Face vector | 480, 1560, 1518, 438 |
Confer |
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The relation to ex runs as follows: ex in axial icosahedral subsymmetry can be given as VFfxo2oxofo3oooox5ooxoo&#zx = oxofofoxo3ooooxoooo5ooxoooxoo&#xt (F = ff = f+x, V = uf = f+f). That will be transformed into VFfxo2oxofo3oofox5oo(-x)oo&#zx. And finally into VFfxo2o(-x)ofo3oxfox5oo(-x)oo&#zx. Then a Stott expansion wrt. the second and fourth node produces xoxFxFxox3oxfoxofxo5xxoxxxoxx&#xt. This polychoron then will be the monostratic parabidiminishing therefrom.
Incidence matrix according to Dynkin symbol
oxFxFxo3xfoxofx5xoxxxox&#xt → height(1,2) = height(3,4) = height(4,5) = height(7,8) = 1/2 height(2,3) = height(5,6) = (sqrt(5)-1)/4 = 0.309017 (tid || pseudo (x,f)-ti || pseudo (F,x)-srid || pseudo grid || pseudo (F,x)-srid || pseudo (x,f)-ti || tid) o......3o......5o...... & | 120 * * * | 2 1 2 0 0 0 0 0 0 0 0 0 | 1 2 1 2 2 0 0 0 0 0 0 0 0 0 0 0 | 1 2 1 1 0 0 0 0 0 .o.....3.o.....5.o..... & | * 120 * * | 0 0 2 1 2 2 0 0 0 0 0 0 | 0 0 2 2 1 1 2 1 2 0 0 0 0 0 0 0 | 0 1 2 1 1 1 0 0 0 ..o....3..o....5..o.... & | * * 120 * | 0 0 0 0 2 0 2 2 1 0 0 0 | 0 0 0 1 0 2 0 0 2 1 1 2 2 2 0 0 | 0 1 1 0 0 2 1 1 2 ...o...3...o...5...o... | * * * 120 | 0 0 0 0 0 2 0 2 0 1 1 1 | 0 0 0 0 0 0 2 2 2 0 2 2 0 1 1 1 | 0 0 2 0 2 2 0 1 1 ------------------------------+-----------------+-------------------------------------------+-----------------------------------------------------------+--------------------------- ....... x...... ....... & | 2 0 0 0 | 120 * * * * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 0 0 0 ....... ....... x...... & | 2 0 0 0 | * 60 * * * * * * * * * * | 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 | 1 2 0 1 0 0 0 0 0 oo.....3oo.....5oo.....&#x & | 1 1 0 0 | * * 240 * * * * * * * * * | 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0 0 0 0 .x..... ....... ....... & | 0 2 0 0 | * * * 60 * * * * * * * * | 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 | 0 0 2 1 1 0 0 0 0 .oo....3.oo....5.oo....&#x & | 0 1 1 0 | * * * * 240 * * * * * * * | 0 0 0 1 0 1 0 0 1 0 0 0 0 0 0 0 | 0 1 1 0 0 1 0 0 0 .o.o...3.o.o...5.o.o...&#x & | 0 1 0 1 | * * * * * 240 * * * * * * | 0 0 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 | * * * * * * 120 * * * * * | 0 0 0 0 0 1 0 0 0 1 0 1 1 0 0 0 | 0 1 0 0 0 1 1 0 1 ..oo...3..oo...5..oo...&#x & | 0 0 1 1 | * * * * * * * 240 * * * * | 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 | 0 0 1 0 0 1 0 1 1 ..o.o..3..o.o..5..o.o..&#x & | 0 0 2 0 | * * * * * * * * 60 * * * | 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 | 0 0 0 0 0 0 1 1 2 ...x... ....... ....... | 0 0 0 2 | * * * * * * * * * 60 * * | 0 0 0 0 0 0 2 0 0 0 2 0 0 0 1 1 | 0 0 2 0 2 0 0 0 0 ....... ...x... ....... | 0 0 0 2 | * * * * * * * * * * 60 * | 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 0 | 0 0 2 0 0 0 0 1 0 ....... ....... ...x... | 0 0 0 2 | * * * * * * * * * * * 60 | 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 1 | 0 0 0 0 2 2 0 0 1 ------------------------------+-----------------+-------------------------------------------+-----------------------------------------------------------+--------------------------- o......3x...... ....... & | 3 0 0 0 | 3 0 0 0 0 0 0 0 0 0 0 0 | 40 * * * * * * * * * * * * * * * | 1 0 1 0 0 0 0 0 0 ....... x......5x...... & | 10 0 0 0 | 5 5 0 0 0 0 0 0 0 0 0 0 | * 24 * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 ox..... ....... .......&#x & | 1 2 0 0 | 0 0 2 1 0 0 0 0 0 0 0 0 | * * 120 * * * * * * * * * * * * * | 0 0 1 1 0 0 0 0 0 ....... xfo.... .......&#xt & | 2 2 1 0 | 1 0 2 0 2 0 0 0 0 0 0 0 | * * * 120 * * * * * * * * * * * * | 0 1 1 0 0 0 0 0 0 ....... ....... xo.....&#x & | 2 1 0 0 | 0 1 2 0 0 0 0 0 0 0 0 0 | * * * * 120 * * * * * * * * * * * | 0 1 0 1 0 0 0 0 0 ....... ....... .ox....&#x & | 0 1 2 0 | 0 0 0 0 2 0 1 0 0 0 0 0 | * * * * * 120 * * * * * * * * * * | 0 1 0 0 0 1 0 0 0 .x.x... ....... .......&#x & | 0 2 0 2 | 0 0 0 1 0 2 0 0 0 1 0 0 | * * * * * * 120 * * * * * * * * * | 0 0 1 0 1 0 0 0 0 ....... ....... .o.x...&#x & | 0 1 0 2 | 0 0 0 0 0 2 0 0 0 0 0 1 | * * * * * * * 120 * * * * * * * * | 0 0 0 0 1 1 0 0 0 .ooo...3.ooo...5.ooo...&#x & | 0 1 1 1 | 0 0 0 0 1 1 0 1 0 0 0 0 | * * * * * * * * 240 * * * * * * * | 0 0 1 0 0 1 0 0 0 ....... ..o....5..x.... & | 0 0 5 0 | 0 0 0 0 0 0 5 0 0 0 0 0 | * * * * * * * * * 24 * * * * * * | 0 1 0 0 0 0 1 0 0 ....... ..ox... .......&#x & | 0 0 1 2 | 0 0 0 0 0 0 0 2 0 0 1 0 | * * * * * * * * * * 120 * * * * * | 0 0 1 0 0 0 0 1 0 ....... ....... ..xx...&#x & | 0 0 2 2 | 0 0 0 0 0 0 1 2 0 0 0 1 | * * * * * * * * * * * 120 * * * * | 0 0 0 0 0 1 0 0 1 ....... ....... ..x.x..&#x | 0 0 4 0 | 0 0 0 0 0 0 2 0 2 0 0 0 | * * * * * * * * * * * * 60 * * * | 0 0 0 0 0 0 1 0 1 ..ooo..3..ooo..5..ooo..&#x | 0 0 2 1 | 0 0 0 0 0 0 0 2 1 0 0 0 | * * * * * * * * * * * * * 120 * * | 0 0 0 0 0 0 0 1 1 ...x...3...x... ....... | 0 0 0 6 | 0 0 0 0 0 0 0 0 0 3 3 0 | * * * * * * * * * * * * * * 20 * | 0 0 2 0 0 0 0 0 0 ...x... ....... ...x... | 0 0 0 4 | 0 0 0 0 0 0 0 0 0 2 0 2 | * * * * * * * * * * * * * * * 30 | 0 0 0 0 2 0 0 0 0 ------------------------------+-----------------+-------------------------------------------+-----------------------------------------------------------+--------------------------- o......3x......5x...... & ♦ 60 0 0 0 | 60 30 0 0 0 0 0 0 0 0 0 0 | 20 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 * * * * * * * * ....... xfo....5xox....&#xt & ♦ 10 5 5 0 | 5 5 10 0 10 0 5 0 0 0 0 0 | 0 1 0 5 5 5 0 0 0 1 0 0 0 0 0 0 | * 24 * * * * * * * oxFx...3xfox... .......&#x & ♦ 3 6 3 6 | 3 0 6 3 6 6 0 6 0 3 3 0 | 1 0 3 3 0 0 3 0 6 0 3 0 0 0 1 0 | * * 40 * * * * * * ox..... ....... xo.....&#x & ♦ 2 2 0 0 | 0 1 4 1 0 0 0 0 0 0 0 0 | 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 | * * * 60 * * * * * .x.x... ....... .o.x...&#x & ♦ 0 2 0 4 | 0 0 0 1 0 4 0 0 0 2 0 2 | 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 1 | * * * * 60 * * * * ....... ....... .oxx...&#x & ♦ 0 1 2 2 | 0 0 0 0 2 2 1 2 0 0 0 1 | 0 0 0 0 0 1 0 1 2 0 0 1 0 0 0 0 | * * * * * 120 * * * ....... ..o.o..5..x.x..&#x ♦ 0 0 10 0 | 0 0 0 0 0 0 10 0 5 0 0 0 | 0 0 0 0 0 0 0 0 0 2 0 0 5 0 0 0 | * * * * * * 12 * * ....... ..oxo.. .......&#x ♦ 0 0 2 2 | 0 0 0 0 0 0 0 4 1 0 1 0 | 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 | * * * * * * * 60 * ....... ....... ..xxx..&#x ♦ 0 0 4 2 | 0 0 0 0 0 0 2 4 2 0 0 1 | 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 | * * * * * * * * 60
Ffxo oxFx3xfox5xoxx&#zx → heights = 0 o... o...3o...5o... | 120 * * * | 2 1 2 0 0 0 0 0 0 0 0 0 | 1 2 1 2 2 0 0 0 0 0 0 0 0 0 0 0 | 1 2 1 1 0 0 0 0 0 .o.. .o..3.o..5.o.. | * 120 * * | 0 0 2 1 2 2 0 0 0 0 0 0 | 0 0 2 2 1 1 2 1 2 0 0 0 0 0 0 0 | 0 1 2 1 1 1 0 0 0 ..o. ..o.3..o.5..o. | * * 120 * | 0 0 0 0 2 0 1 2 2 0 0 0 | 0 0 0 1 0 2 0 0 2 2 1 1 2 2 0 0 | 0 1 1 0 0 2 1 1 2 ...o ...o3...o5...o | * * * 120 | 0 0 0 0 0 2 0 0 2 1 1 1 | 0 0 0 0 0 0 2 2 2 0 0 2 2 1 1 1 | 0 0 2 0 2 2 0 1 1 ------------------------+-----------------+-------------------------------------------+-----------------------------------------------------------+--------------------------- .... .... x... .... | 2 0 0 0 | 120 * * * * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 0 0 0 .... .... .... x... | 2 0 0 0 | * 60 * * * * * * * * * * | 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 | 1 2 0 1 0 0 0 0 0 oo.. oo..3oo..5oo..&#x | 1 1 0 0 | * * 240 * * * * * * * * * | 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0 0 0 0 .... .x.. .... .... | 0 2 0 0 | * * * 60 * * * * * * * * | 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 | 0 0 2 1 1 0 0 0 0 .oo. .oo.3.oo.5.oo.&#x | 0 1 1 0 | * * * * 240 * * * * * * * | 0 0 0 1 0 1 0 0 1 0 0 0 0 0 0 0 | 0 1 1 0 0 1 0 0 0 .o.o .o.o3.o.o5.o.o&#x | 0 1 0 1 | * * * * * 240 * * * * * * | 0 0 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 | * * * * * * 60 * * * * * | 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 | 0 0 0 0 0 0 1 1 2 .... .... .... ..x. | 0 0 2 0 | * * * * * * * 120 * * * * | 0 0 0 0 0 1 0 0 0 1 1 0 1 0 0 0 | 0 1 0 0 0 1 1 0 1 ..oo ..oo3..oo5..oo&#x | 0 0 1 1 | * * * * * * * * 240 * * * | 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 | 0 0 1 0 0 1 0 1 1 .... ...x .... .... | 0 0 0 2 | * * * * * * * * * 60 * * | 0 0 0 0 0 0 2 0 0 0 0 2 0 0 1 1 | 0 0 2 0 2 0 0 0 0 .... .... ...x .... | 0 0 0 2 | * * * * * * * * * * 60 * | 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 | 0 0 2 0 0 0 0 1 0 .... .... .... ...x | 0 0 0 2 | * * * * * * * * * * * 60 | 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 1 | 0 0 0 0 2 2 0 0 1 ------------------------+-----------------+-------------------------------------------+-----------------------------------------------------------+--------------------------- .... o...3x... .... | 3 0 0 0 | 3 0 0 0 0 0 0 0 0 0 0 0 | 40 * * * * * * * * * * * * * * * | 1 0 1 0 0 0 0 0 0 .... .... x...5x... | 10 0 0 0 | 5 5 0 0 0 0 0 0 0 0 0 0 | * 24 * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 .... ox.. .... ....&#x | 1 2 0 0 | 0 0 2 1 0 0 0 0 0 0 0 0 | * * 120 * * * * * * * * * * * * * | 0 0 1 1 0 0 0 0 0 .... .... xfo. ....&#xt | 2 2 1 0 | 1 0 2 0 2 0 0 0 0 0 0 0 | * * * 120 * * * * * * * * * * * * | 0 1 1 0 0 0 0 0 0 .... .... .... xo..&#x | 2 1 0 0 | 0 1 2 0 0 0 0 0 0 0 0 0 | * * * * 120 * * * * * * * * * * * | 0 1 0 1 0 0 0 0 0 .... .... .... .ox.&#x | 0 1 2 0 | 0 0 0 0 2 0 0 1 0 0 0 0 | * * * * * 120 * * * * * * * * * * | 0 1 0 0 0 1 0 0 0 .... .x.x .... ....&#x | 0 2 0 2 | 0 0 0 1 0 2 0 0 0 1 0 0 | * * * * * * 120 * * * * * * * * * | 0 0 1 0 1 0 0 0 0 .... .... .... .o.x&#x | 0 1 0 2 | 0 0 0 0 0 2 0 0 0 0 0 1 | * * * * * * * 120 * * * * * * * * | 0 0 0 0 1 1 0 0 0 .ooo .ooo3.ooo5.ooo&#x | 0 1 1 1 | 0 0 0 0 1 1 0 0 1 0 0 0 | * * * * * * * * 240 * * * * * * * | 0 0 1 0 0 1 0 0 0 ..x. .... .... ..x. | 0 0 4 0 | 0 0 0 0 0 0 2 2 0 0 0 0 | * * * * * * * * * 60 * * * * * * | 0 0 0 0 0 0 1 0 1 .... .... ..o.5..x. | 0 0 5 0 | 0 0 0 0 0 0 0 5 0 0 0 0 | * * * * * * * * * * 24 * * * * * | 0 1 0 0 0 0 1 0 0 .... .... ..ox ....&#x | 0 0 1 2 | 0 0 0 0 0 0 0 0 2 0 1 0 | * * * * * * * * * * * 120 * * * * | 0 0 1 0 0 0 0 1 0 .... .... .... ..xx&#x | 0 0 2 2 | 0 0 0 0 0 0 0 1 2 0 0 1 | * * * * * * * * * * * * 120 * * * | 0 0 0 0 0 1 0 0 1 ..xo .... .... ....&#x | 0 0 2 1 | 0 0 0 0 0 0 1 0 2 0 0 0 | * * * * * * * * * * * * * 120 * * | 0 0 0 0 0 0 0 1 1 .... ...x3...x .... | 0 0 0 6 | 0 0 0 0 0 0 0 0 0 3 3 0 | * * * * * * * * * * * * * * 20 * | 0 0 2 0 0 0 0 0 0 .... ...x .... ...x | 0 0 0 4 | 0 0 0 0 0 0 0 0 0 2 0 2 | * * * * * * * * * * * * * * * 30 | 0 0 0 0 2 0 0 0 0 ------------------------+-----------------+-------------------------------------------+-----------------------------------------------------------+--------------------------- .... o...3x...5x... ♦ 60 0 0 0 | 60 30 0 0 0 0 0 0 0 0 0 0 | 20 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 * * * * * * * * .... .... xfo.5xox.&#xt ♦ 10 5 5 0 | 5 5 10 0 10 0 0 5 0 0 0 0 | 0 1 0 5 5 5 0 0 0 0 1 0 0 0 0 0 | * 24 * * * * * * * .... oxFx3xfox ....&#x ♦ 3 6 3 6 | 3 0 6 3 6 6 0 0 6 3 3 0 | 1 0 3 3 0 0 3 0 6 0 0 3 0 0 1 0 | * * 40 * * * * * * .... ox.. .... xo..&#x ♦ 2 2 0 0 | 0 1 4 1 0 0 0 0 0 0 0 0 | 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 | * * * 60 * * * * * .... .x.x .... .o.x&#x ♦ 0 2 0 4 | 0 0 0 1 0 4 0 0 0 2 0 2 | 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 1 | * * * * 60 * * * * .... .... .... .oxx&#x ♦ 0 1 2 2 | 0 0 0 0 2 2 0 1 2 0 0 1 | 0 0 0 0 0 1 0 1 2 0 0 0 1 0 0 0 | * * * * * 120 * * * ..x. .... ..o.5..x. ♦ 0 0 10 0 | 0 0 0 0 0 0 5 10 0 0 0 0 | 0 0 0 0 0 0 0 0 0 5 2 0 0 0 0 0 | * * * * * * 12 * * ..xo .... ..ox ....&#x ♦ 0 0 2 2 | 0 0 0 0 0 0 1 0 4 0 1 0 | 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 | * * * * * * * 60 * ..xo .... .... ..xx&#x ♦ 0 0 4 2 | 0 0 0 0 0 0 2 2 4 0 0 1 | 0 0 0 0 0 0 0 0 0 1 0 0 2 2 0 0 | * * * * * * * * 60
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