Acronym | ... |
Name | vertex-first rotunda of hexacosachoron |
Circumradius | (1+sqrt(5))/2 = 1.618034 |
Lace city in approx. ASCII-art |
o5o o5x x5o o5o f5o o5f o5x f5o o5o x5x o5f x5o f5o o5f o5o o5x x5o o5o |
o3o x3o o3f f3o o3x (F=ff) o3o o3f f3x x3f f3o o3o f3o o3F F3o o3f o3x x3f F3o f3f o3F f3x x3o | |
Dihedral angles | |
Face vector | 75, 384, 592, 283 |
Confer |
Incidence matrix according to Dynkin symbol
oxofo3oooox5ooxoo&#xt → height(1,2) = height(3,4) = (sqrt(5)-1)/4 = 0.309017 height(2,3) = height(4,5) = 1/2 (pt || pseudo ike || pseudo doe || pseudo f-ike || id) o....3o....5o.... | 1 * * * * ♦ 12 0 0 0 0 0 0 0 0 | 30 0 0 0 0 0 0 0 0 0 0 0 | 20 0 0 0 0 0 0 0 0 .o...3.o...5.o... | * 12 * * * ♦ 1 5 5 1 0 0 0 0 0 | 5 5 10 5 5 0 0 0 0 0 0 0 | 5 5 5 5 0 0 0 0 0 ..o..3..o..5..o.. | * * 20 * * ♦ 0 0 3 0 3 3 3 0 0 | 0 0 3 6 3 6 3 3 6 0 0 0 | 0 1 3 6 1 3 6 0 0 ...o.3...o.5...o. | * * * 12 * ♦ 0 0 0 1 0 5 0 5 0 | 0 0 0 0 5 5 0 0 10 5 0 0 | 0 0 0 5 0 5 5 1 0 ....o3....o5....o | * * * * 30 | 0 0 0 0 0 0 2 2 4 | 0 0 0 0 0 0 4 1 4 4 2 2 | 0 0 0 0 2 4 2 2 1 ----------------------+---------------+----------------------------+--------------------------------------+-------------------------- oo...3oo...5oo...&#x | 1 1 0 0 0 | 12 * * * * * * * * | 5 0 0 0 0 0 0 0 0 0 0 0 | 5 0 0 0 0 0 0 0 0 .x... ..... ..... | 0 2 0 0 0 | * 30 * * * * * * * | 1 2 2 0 0 0 0 0 0 0 0 0 | 2 2 1 0 0 0 0 0 0 .oo..3.oo..5.oo..&#x | 0 1 1 0 0 | * * 60 * * * * * * | 0 0 2 2 1 0 0 0 0 0 0 0 | 0 1 2 2 0 0 0 0 0 .o.o.3.o.o.5.o.o.&#x | 0 1 0 1 0 | * * * 12 * * * * * | 0 0 0 0 5 0 0 0 0 0 0 0 | 0 0 0 5 0 0 0 0 0 ..... ..... ..x.. | 0 0 2 0 0 | * * * * 30 * * * * | 0 0 0 2 0 2 0 1 0 0 0 0 | 0 0 1 2 0 0 2 0 0 ..oo.3..oo.5..oo.&#x | 0 0 1 1 0 | * * * * * 60 * * * | 0 0 0 0 1 2 0 0 2 0 0 0 | 0 0 0 2 0 1 2 0 0 ..o.o3..o.o5..o.o&#x | 0 0 1 0 1 | * * * * * * 60 * * | 0 0 0 0 0 0 2 1 2 0 0 0 | 0 0 0 0 1 2 2 0 0 ...oo3...oo5...oo&#x | 0 0 0 1 1 | * * * * * * * 60 * | 0 0 0 0 0 0 0 0 2 2 0 0 | 0 0 0 0 0 2 1 1 0 ..... ....x ..... | 0 0 0 0 2 | * * * * * * * * 60 | 0 0 0 0 0 0 1 0 0 1 1 1 | 0 0 0 0 1 1 0 1 1 ----------------------+---------------+----------------------------+--------------------------------------+-------------------------- ox... ..... .....&#x | 1 2 0 0 0 | 2 1 0 0 0 0 0 0 0 | 30 * * * * * * * * * * * | 2 0 0 0 0 0 0 0 0 .x...3.o... ..... | 0 3 0 0 0 | 0 3 0 0 0 0 0 0 0 | * 20 * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 .xo.. ..... .....&#x | 0 2 1 0 0 | 0 1 2 0 0 0 0 0 0 | * * 60 * * * * * * * * * | 0 1 1 0 0 0 0 0 0 ..... ..... .ox..&#x | 0 1 2 0 0 | 0 0 2 0 1 0 0 0 0 | * * * 60 * * * * * * * * | 0 0 1 1 0 0 0 0 0 .ooo.3.ooo.5.ooo.&#x | 0 1 1 1 0 | 0 0 1 1 0 1 0 0 0 | * * * * 60 * * * * * * * | 0 0 0 2 0 0 0 0 0 ..... ..... ..xo.&#x | 0 0 2 1 0 | 0 0 0 0 1 2 0 0 0 | * * * * * 60 * * * * * * | 0 0 0 1 0 0 1 0 0 ..... ..o.x .....&#x | 0 0 1 0 2 | 0 0 0 0 0 0 2 0 1 | * * * * * * 60 * * * * * | 0 0 0 0 1 1 0 0 0 ..... ..... ..x.o&#x | 0 0 2 0 1 | 0 0 0 0 1 0 2 0 0 | * * * * * * * 30 * * * * | 0 0 0 0 0 0 2 0 0 ..ooo3..ooo5..ooo&#x | 0 0 1 1 1 | 0 0 0 0 0 1 1 1 0 | * * * * * * * * 120 * * * | 0 0 0 0 0 1 1 0 0 ..... ...ox .....&#x | 0 0 0 1 2 | 0 0 0 0 0 0 0 2 1 | * * * * * * * * * 60 * * | 0 0 0 0 0 1 0 1 0 ....o3....x ..... | 0 0 0 0 3 | 0 0 0 0 0 0 0 0 3 | * * * * * * * * * * 20 * | 0 0 0 0 1 0 0 0 1 ..... ....x5....o | 0 0 0 0 5 | 0 0 0 0 0 0 0 0 5 | * * * * * * * * * * * 12 | 0 0 0 0 0 0 0 1 1 ----------------------+---------------+----------------------------+--------------------------------------+-------------------------- ox...3oo... .....&#x ♦ 1 3 0 0 0 | 3 3 0 0 0 0 0 0 0 | 3 1 0 0 0 0 0 0 0 0 0 0 | 20 * * * * * * * * .xo..3.oo.. .....&#x ♦ 0 3 1 0 0 | 0 3 3 0 0 0 0 0 0 | 0 1 3 0 0 0 0 0 0 0 0 0 | * 20 * * * * * * * .xo.. ..... .ox..&#x ♦ 0 2 2 0 0 | 0 1 4 0 1 0 0 0 0 | 0 0 2 2 0 0 0 0 0 0 0 0 | * * 30 * * * * * * ..... ..... .oxo.&#xt ♦ 0 1 2 1 0 | 0 0 2 1 1 2 0 0 0 | 0 0 0 1 2 1 0 0 0 0 0 0 | * * * 60 * * * * * ..o.o3..o.x .....&#x ♦ 0 0 1 0 3 | 0 0 0 0 0 0 3 0 3 | 0 0 0 0 0 0 3 0 0 0 1 0 | * * * * 20 * * * * ..... ..oox .....&#xt ♦ 0 0 1 1 2 | 0 0 0 0 0 1 2 2 1 | 0 0 0 0 0 0 1 0 2 1 0 0 | * * * * * 60 * * * ..... ..... ..xoo&#xt ♦ 0 0 2 1 1 | 0 0 0 0 1 2 2 1 0 | 0 0 0 0 0 1 0 1 2 0 0 0 | * * * * * * 60 * * ..... ...ox5...oo&#x ♦ 0 0 0 1 5 | 0 0 0 0 0 0 0 5 5 | 0 0 0 0 0 0 0 0 0 5 0 1 | * * * * * * * 12 * ....o3....x5....o ♦ 0 0 0 0 30 | 0 0 0 0 0 0 0 0 60 | 0 0 0 0 0 0 0 0 0 0 20 12 | * * * * * * * * 1
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