Acronym | cydadex |
Name | cyclical decadiminishing of ex |
Circumradius | (1+sqrt(5))/2 = 1.618034 |
Lace city in approx. ASCII-art |
o5x x5o x5o f5o o5f o5f o5x o5x f5o f5o x5x o5f o5f x5o x5o f5o f5o o5f o5x o5x x5o |
o5o o5o o5x x5o x5o o5o o5o f5o o5f o5f o5x o5x f5o f5o o5o o5o o5f o5f x5o x5o f5o f5o o5f o5o o5o o5x o5x x5o o5o o5o | |
Dihedral angles | |
Face vector | 110, 610, 960, 460 |
Confer |
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The great antiprism (gap) is a faceting of the hexacosachoron. The antiprism cells (pap) form 2 rings of 10 each. – This polychoron in contrast uses just a single such ring.
Incidence matrix according to Dynkin symbol
fooxo5ofxoo xofox5oxofx&#zx → all existing heights = 0 o....5o.... o....5o.... | 25 * * * * | 2 4 2 2 0 0 0 0 0 0 0 0 0 0 | 1 4 2 1 2 4 4 4 0 0 0 0 0 0 0 0 0 0 0 | 2 2 4 2 4 0 0 0 0 0 .o...5.o... .o...5.o... | * 25 * * * | 0 4 0 0 2 2 2 0 0 0 0 0 0 0 | 0 2 4 0 0 4 4 0 1 2 1 4 0 0 0 0 0 0 0 | 2 4 2 0 4 2 0 0 0 0 ..o..5..o.. ..o..5..o.. | * * 25 * * ♦ 0 0 2 0 0 2 0 2 4 2 0 0 0 0 | 0 0 0 2 0 4 0 4 0 1 0 4 2 4 4 1 4 0 0 | 0 2 0 4 4 2 2 4 2 0 ...o.5...o. ...o.5...o. | * * * 25 * ♦ 0 0 0 2 0 0 2 0 4 0 2 2 0 0 | 0 0 0 0 1 0 4 4 0 0 2 4 4 2 0 0 4 4 1 | 0 0 2 2 4 4 4 2 0 2 ....o5....o ....o5....o | * * * * 10 ♦ 0 0 0 0 0 0 0 0 0 5 0 5 1 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 5 10 5 5 | 0 0 0 0 0 0 5 5 5 5 ----------------------------+----------------+-------------------------------------------+-------------------------------------------------------------+------------------------------- ..... ..... x.... ..... | 2 0 0 0 0 | 25 * * * * * * * * * * * * * | 1 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 0 2 0 0 0 0 0 0 0 oo...5oo... oo...5oo...&#x | 1 1 0 0 0 | * 100 * * * * * * * * * * * * | 0 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 1 0 0 0 0 0 o.o..5o.o.. o.o..5o.o..&#x | 1 0 1 0 0 | * * 50 * * * * * * * * * * * | 0 0 0 1 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 | 0 1 0 2 2 0 0 0 0 0 o..o.5o..o. o..o.5o..o.&#x | 1 0 0 1 0 | * * * 50 * * * * * * * * * * | 0 0 0 0 1 0 2 2 0 0 0 0 0 0 0 0 0 0 0 | 0 0 2 1 2 0 0 0 0 0 ..... ..... ..... .x... | 0 2 0 0 0 | * * * * 25 * * * * * * * * * | 0 0 2 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 | 2 2 0 0 0 0 0 0 0 0 .oo..5.oo.. .oo..5.oo..&#x | 0 1 1 0 0 | * * * * * 50 * * * * * * * * | 0 0 0 0 0 2 0 0 0 1 0 2 0 0 0 0 0 0 0 | 0 2 0 0 2 1 0 0 0 0 .o.o.5.o.o. .o.o.5.o.o.&#x | 0 1 0 1 0 | * * * * * * 50 * * * * * * * | 0 0 0 0 0 0 2 0 0 0 1 2 0 0 0 0 0 0 0 | 0 0 1 0 2 2 0 0 0 0 ..... ..x.. ..... ..... | 0 0 2 0 0 | * * * * * * * 25 * * * * * * | 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 | 0 0 0 2 0 0 0 2 1 0 ..oo.5..oo. ..oo.5..oo.&#x | 0 0 1 1 0 | * * * * * * * * 100 * * * * * | 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 0 1 0 0 | 0 0 0 1 1 1 1 1 0 0 ..o.o5..o.o ..o.o5..o.o&#x | 0 0 1 0 1 | * * * * * * * * * 50 * * * * | 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 1 2 2 0 ...x. ..... ..... ..... | 0 0 0 2 0 | * * * * * * * * * * 25 * * * | 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 2 0 | 0 0 0 0 0 2 2 0 0 1 ...oo5...oo ...oo5...oo&#x | 0 0 0 1 1 | * * * * * * * * * * * 50 * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 | 0 0 0 0 0 0 2 1 0 2 ..... ..... ....x ..... | 0 0 0 0 2 | * * * * * * * * * * * * 5 * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 | 0 0 0 0 0 0 0 0 0 5 ..... ..... ..... ....x | 0 0 0 0 2 | * * * * * * * * * * * * * 5 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 0 0 | 0 0 0 0 0 0 0 0 5 0 ----------------------------+----------------+-------------------------------------------+-------------------------------------------------------------+------------------------------- ..... ..... x....5o.... | 5 0 0 0 0 | 5 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5 * * * * * * * * * * * * * * * * * * | 2 0 0 0 0 0 0 0 0 0 ..... ..... xo... .....&#x | 2 1 0 0 0 | 1 2 0 0 0 0 0 0 0 0 0 0 0 0 | * 50 * * * * * * * * * * * * * * * * * | 1 0 1 0 0 0 0 0 0 0 ..... ..... ..... ox...&#x | 1 2 0 0 0 | 0 2 0 0 1 0 0 0 0 0 0 0 0 0 | * * 50 * * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 0 ..... o.x.. ..... .....&#x | 1 0 2 0 0 | 0 0 2 0 0 0 0 1 0 0 0 0 0 0 | * * * 25 * * * * * * * * * * * * * * * | 0 0 0 2 0 0 0 0 0 0 ..... ..... x..o. .....&#x | 2 0 0 1 0 | 1 0 0 2 0 0 0 0 0 0 0 0 0 0 | * * * * 25 * * * * * * * * * * * * * * | 0 0 2 0 0 0 0 0 0 0 ooo..5ooo.. ooo..5ooo..&#x | 1 1 1 0 0 | 0 1 1 0 0 1 0 0 0 0 0 0 0 0 | * * * * * 100 * * * * * * * * * * * * * | 0 1 0 0 1 0 0 0 0 0 oo.o.5oo.o. oo.o.5oo.o.&#x | 1 1 0 1 0 | 0 1 0 1 0 0 1 0 0 0 0 0 0 0 | * * * * * * 100 * * * * * * * * * * * * | 0 0 1 0 1 0 0 0 0 0 o.oo.5o.oo. o.oo.5o.oo.&#x | 1 0 1 1 0 | 0 0 1 1 0 0 0 0 1 0 0 0 0 0 | * * * * * * * 100 * * * * * * * * * * * | 0 0 0 1 1 0 0 0 0 0 ..... ..... .o...5.x... | 0 5 0 0 0 | 0 0 0 0 5 0 0 0 0 0 0 0 0 0 | * * * * * * * * 5 * * * * * * * * * * | 2 0 0 0 0 0 0 0 0 0 ..... ..... ..... .xo..&#x | 0 2 1 0 0 | 0 0 0 0 1 2 0 0 0 0 0 0 0 0 | * * * * * * * * * 25 * * * * * * * * * | 0 2 0 0 0 0 0 0 0 0 .o.x. ..... ..... .....&#x | 0 1 0 2 0 | 0 0 0 0 0 0 2 0 0 0 1 0 0 0 | * * * * * * * * * * 25 * * * * * * * * | 0 0 0 0 0 2 0 0 0 0 .ooo.5.ooo. .ooo.5.ooo.&#x | 0 1 1 1 0 | 0 0 0 0 0 1 1 0 1 0 0 0 0 0 | * * * * * * * * * * * 100 * * * * * * * | 0 0 0 0 1 1 0 0 0 0 ..ox. ..... ..... .....&#x | 0 0 1 2 0 | 0 0 0 0 0 0 0 0 2 0 1 0 0 0 | * * * * * * * * * * * * 50 * * * * * * | 0 0 0 0 0 1 1 0 0 0 ..... ..xo. ..... .....&#x | 0 0 2 1 0 | 0 0 0 0 0 0 0 1 2 0 0 0 0 0 | * * * * * * * * * * * * * 50 * * * * * | 0 0 0 1 0 0 0 1 0 0 ..... ..x.o ..... .....&#x | 0 0 2 0 1 | 0 0 0 0 0 0 0 1 0 2 0 0 0 0 | * * * * * * * * * * * * * * 50 * * * * | 0 0 0 0 0 0 0 1 1 0 ..... ..... ..... ..o.x&#x | 0 0 1 0 2 | 0 0 0 0 0 0 0 0 0 2 0 0 0 1 | * * * * * * * * * * * * * * * 25 * * * | 0 0 0 0 0 0 0 0 2 0 ..ooo5..ooo ..ooo5..ooo&#x | 0 0 1 1 1 | 0 0 0 0 0 0 0 0 1 1 0 1 0 0 | * * * * * * * * * * * * * * * * 100 * * | 0 0 0 0 0 0 1 1 0 0 ...xo ..... ..... .....&#x | 0 0 0 2 1 | 0 0 0 0 0 0 0 0 0 0 1 2 0 0 | * * * * * * * * * * * * * * * * * 50 * | 0 0 0 0 0 0 1 0 0 1 ..... ..... ...ox .....&#x | 0 0 0 1 2 | 0 0 0 0 0 0 0 0 0 0 0 2 1 0 | * * * * * * * * * * * * * * * * * * 25 | 0 0 0 0 0 0 0 0 0 2 ----------------------------+----------------+-------------------------------------------+-------------------------------------------------------------+------------------------------- ..... ..... xo...5ox...&#x ♦ 5 5 0 0 0 | 5 10 0 0 5 0 0 0 0 0 0 0 0 0 | 1 5 5 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 10 * * * * * * * * * ..... ..... ..... oxo..&#x ♦ 1 2 1 0 0 | 0 2 1 0 1 2 0 0 0 0 0 0 0 0 | 0 0 1 0 0 2 0 0 0 1 0 0 0 0 0 0 0 0 0 | * 50 * * * * * * * * ..... ..... xo.o. .....&#x ♦ 2 1 0 1 0 | 1 2 0 2 0 0 1 0 0 0 0 0 0 0 | 0 1 0 0 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 | * * 50 * * * * * * * ..... o.xo. ..... .....&#x ♦ 1 0 2 1 0 | 0 0 2 1 0 0 0 1 2 0 0 0 0 0 | 0 0 0 1 0 0 0 2 0 0 0 0 0 1 0 0 0 0 0 | * * * 50 * * * * * * oooo.5oooo. oooo.5oooo.&#x ♦ 1 1 1 1 0 | 0 1 1 1 0 1 1 0 1 0 0 0 0 0 | 0 0 0 0 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 | * * * * 100 * * * * * .oox. ..... ..... .....&#x ♦ 0 1 1 2 0 | 0 0 0 0 0 1 2 0 2 0 1 0 0 0 | 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 | * * * * * 50 * * * * ..oxo ..... ..... .....&#x ♦ 0 0 1 2 1 | 0 0 0 0 0 0 0 0 2 1 1 2 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 0 | * * * * * * 50 * * * ..... ..xoo ..... .....&#x ♦ 0 0 2 1 1 | 0 0 0 0 0 0 0 1 2 2 0 1 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 0 0 | * * * * * * * 50 * * ..... ..x.o ..... ..o.x&#x ♦ 0 0 2 0 2 | 0 0 0 0 0 0 0 1 0 4 0 0 0 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 | * * * * * * * * 25 * ...xo ..... ...ox .....&#x ♦ 0 0 0 2 2 | 0 0 0 0 0 0 0 0 0 0 1 4 1 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 | * * * * * * * * * 25
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