Acronym | trafpy |
Name |
triangular antifastegium pyramid, (triangular prism, gyro triangular pyramid)-disphenoid |
Circumradius | sqrt(5/8) = 0.790569 |
Lace city in approx. ASCII-art |
o 3 P where: o = o o3o (point) 3 = o o3x (triangle) P = x x3o (gyrated trip) |
Lace hyper city in approx. ASCII-art |
x3o x3o o3x o3o(disphenoid in configuration space) |
Face vector | 10, 33, 48, 33, 10 |
Confer |
|
Incidence matrix according to Dynkin symbol
oox oox3oxo&#x → height(1,2) = sqrt(2/3) = 0.816497 height(1,3) = height(2,3) = sqrt(5/12) = 0.645497 o.. o..3o.. | 1 * * ♦ 3 6 0 0 0 0 | 3 3 6 12 0 0 0 0 0 0 | 1 3 2 6 6 6 0 0 0 0 | 1 3 3 2 0 .o. .o.3.o. | * 3 * | 1 0 2 4 0 0 | 2 0 0 4 1 2 2 4 0 0 | 1 0 0 2 2 4 1 2 2 0 | 0 1 2 2 1 ..o ..o3..o | * * 6 | 0 1 0 2 1 2 | 0 1 2 2 0 2 2 1 2 1 | 0 2 1 2 2 1 2 1 1 1 | 1 2 1 1 1 ---------------+-------+--------------+----------------------+---------------------+---------- oo. oo.3oo.&#x | 1 1 0 | 3 * * * * * | 2 0 0 4 0 0 0 0 0 0 | 1 0 0 2 2 4 0 0 0 0 | 0 1 2 2 0 o.o o.o3o.o&#x | 1 0 1 | * 6 * * * * | 0 1 2 2 0 0 0 0 0 0 | 0 2 1 2 2 1 0 0 0 0 | 1 2 1 1 0 ... ... .x. | 0 2 0 | * * 3 * * * | 1 0 0 0 1 0 0 2 0 0 | 1 0 0 0 0 2 0 1 2 0 | 0 0 1 2 1 .oo .oo3.oo&#x | 0 1 1 | * * * 12 * * | 0 0 0 1 0 1 1 1 0 0 | 0 0 0 1 1 1 1 1 1 0 | 0 1 1 1 1 ..x ... ... | 0 0 2 | * * * * 3 * | 0 1 0 0 0 2 0 0 2 0 | 0 2 0 2 0 0 2 1 0 1 | 1 2 1 0 1 ... ..x ... | 0 0 2 | * * * * * 6 | 0 0 1 0 0 0 1 0 1 1 | 0 1 1 0 1 0 1 0 1 1 | 1 1 0 1 1 ---------------+-------+--------------+----------------------+---------------------+---------- ... ... ox.&#x | 1 2 0 | 2 0 1 0 0 0 | 3 * * * * * * * * * | 1 0 0 0 0 2 0 0 0 0 | 0 0 1 2 0 o.x ... ...&#x | 1 0 2 | 0 2 0 0 1 0 | * 3 * * * * * * * * | 0 2 0 2 0 0 0 0 0 0 | 1 2 1 0 0 ... o.x ...&#x | 1 0 2 | 0 2 0 0 0 1 | * * 6 * * * * * * * | 0 1 1 0 1 0 0 0 0 0 | 1 1 0 1 0 ooo ooo3ooo&#x | 1 1 1 | 1 1 0 1 0 0 | * * * 12 * * * * * * | 0 0 0 1 1 1 0 0 0 0 | 0 1 1 1 0 ... .o.3.x. | 0 3 0 | 0 0 3 0 0 0 | * * * * 1 * * * * * | 1 0 0 0 0 0 0 0 2 0 | 0 0 0 2 1 .ox ... ...&#x | 0 1 2 | 0 0 0 2 1 0 | * * * * * 6 * * * * | 0 0 0 1 0 0 1 1 0 0 | 0 1 1 0 1 ... .ox ...&#x | 0 1 2 | 0 0 0 2 0 1 | * * * * * * 6 * * * | 0 0 0 0 1 0 1 0 1 0 | 0 1 0 1 1 ... ... .xo&#x | 0 2 1 | 0 0 1 2 0 0 | * * * * * * * 6 * * | 0 0 0 0 0 1 0 1 1 0 | 0 0 1 1 1 ..x ..x ... | 0 0 4 | 0 0 0 0 2 2 | * * * * * * * * 3 * | 0 1 0 0 0 0 1 0 0 1 | 1 1 0 0 1 ... ..x3..o | 0 0 3 | 0 0 0 0 0 3 | * * * * * * * * * 2 | 0 0 1 0 0 0 0 0 1 1 | 1 0 0 1 1 ---------------+-------+--------------+----------------------+---------------------+---------- ... oo.3ox.&#x ♦ 1 3 0 | 3 0 3 0 0 0 | 3 0 0 0 1 0 0 0 0 0 | 1 * * * * * * * * * | 0 0 0 2 0 o.x o.x ...&#x ♦ 1 0 4 | 0 4 0 0 2 2 | 0 2 2 0 0 0 0 0 1 0 | * 3 * * * * * * * * | 1 1 0 0 0 ... o.x3o.o&#x ♦ 1 0 3 | 0 3 0 0 0 3 | 0 0 3 0 0 0 0 0 0 1 | * * 2 * * * * * * * | 1 0 0 1 0 oox ... ...&#x ♦ 1 1 2 | 1 2 0 2 1 0 | 0 1 0 2 0 1 0 0 0 0 | * * * 6 * * * * * * | 0 1 1 0 0 ... oox ...&#x ♦ 1 1 2 | 1 2 0 2 0 1 | 0 0 1 2 0 0 1 0 0 0 | * * * * 6 * * * * * | 0 1 0 1 0 ... ... oxo&#x ♦ 1 2 1 | 2 1 1 2 0 0 | 1 0 0 2 0 0 0 1 0 0 | * * * * * 6 * * * * | 0 0 1 1 0 .ox .ox ...&#x ♦ 0 1 4 | 0 0 0 4 2 2 | 0 0 0 0 0 2 2 0 1 0 | * * * * * * 3 * * * | 0 1 0 0 1 .ox ... .xo&#x ♦ 0 2 2 | 0 0 1 4 1 0 | 0 0 0 0 0 2 0 2 0 0 | * * * * * * * 3 * * | 0 0 1 0 1 ... .ox3.xo&#x ♦ 0 3 3 | 0 0 3 6 0 3 | 0 0 0 0 1 0 3 3 0 1 | * * * * * * * * 2 * | 0 0 0 1 1 ..x ..x3..o ♦ 0 0 6 | 0 0 0 0 3 6 | 0 0 0 0 0 0 0 0 3 2 | * * * * * * * * * 1 | 1 0 0 0 1 ---------------+-------+--------------+----------------------+---------------------+---------- o.x o.x3o.o&#x ♦ 1 0 6 | 0 6 0 0 3 6 | 0 3 6 0 0 0 0 0 3 2 | 0 3 2 0 0 0 0 0 0 1 | 1 * * * * oox oox ...&#x ♦ 1 1 4 | 1 4 0 4 2 2 | 0 2 2 4 0 2 2 0 1 0 | 0 1 0 2 2 0 1 0 0 0 | * 3 * * * oox ... oxo&#x ♦ 1 2 2 | 2 2 1 4 1 0 | 1 1 0 4 0 2 0 2 0 0 | 0 0 0 2 0 2 0 1 0 0 | * * 3 * * ... oox3oxo&#x ♦ 1 3 3 | 3 3 3 6 0 3 | 3 0 3 6 1 0 3 3 0 1 | 1 0 1 0 3 3 0 0 1 0 | * * * 2 * .ox .ox3.xo&#x ♦ 0 3 6 | 0 0 3 12 3 6 | 0 0 0 0 1 6 6 6 3 2 | 0 0 0 0 0 0 3 3 2 1 | * * * * 1
ooox3oxxo&#x → height(1,2) = height(1,3) = height(1,4) = height(2,4) = height(3,4) = sqrt(2/3) = 1/sqrt(3) = 0.577350 height(2,3) = 1 o...3o... | 1 * * * ♦ 3 3 3 0 0 0 0 0 0 | 3 3 6 3 6 3 0 0 0 0 0 0 0 0 0 | 1 3 6 3 3 1 3 3 1 0 0 0 0 0 | 1 3 3 1 1 0 .o..3.o.. | * 3 * * | 1 0 0 2 1 2 0 0 0 | 2 1 2 0 0 0 1 2 2 1 2 0 0 0 0 | 1 2 2 1 2 0 0 0 0 1 1 2 1 0 | 1 1 2 1 0 1 ..o.3..o. | * * 3 * | 0 1 0 0 1 0 2 2 0 | 0 1 0 2 2 0 0 2 2 0 0 1 1 2 0 | 0 2 2 0 0 1 1 2 0 1 1 2 0 1 | 1 1 2 0 1 1 ...o3...o | * * * 3 | 0 0 1 0 0 2 0 2 2 | 0 0 2 0 2 2 0 0 2 2 1 0 2 1 1 | 0 0 2 2 1 0 2 1 1 0 2 1 1 1 | 0 2 1 1 1 1 -------------+---------+-------------------+-------------------------------+-----------------------------+------------ oo..3oo..&#x | 1 1 0 0 | 3 * * * * * * * * | 2 1 2 0 0 0 0 0 0 0 0 0 0 0 0 | 1 2 2 1 2 0 0 0 0 0 0 0 0 0 | 1 1 2 1 0 0 o.o.3o.o.&#x | 1 0 1 0 | * 3 * * * * * * * | 0 1 0 2 2 0 0 0 0 0 0 0 0 0 0 | 0 2 2 0 0 1 1 2 0 0 0 0 0 0 | 1 1 2 0 1 0 o..o3o..o&#x | 1 0 0 1 | * * 3 * * * * * * | 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 | 0 0 2 2 1 0 2 1 1 0 0 0 0 0 | 0 2 1 1 1 0 .... .x.. | 0 2 0 0 | * * * 3 * * * * * | 1 0 0 0 0 0 1 1 0 0 1 0 0 0 0 | 1 1 0 0 1 0 0 0 0 1 0 1 1 0 | 1 0 1 1 0 1 .oo.3.oo.&#x | 0 1 1 0 | * * * * 3 * * * * | 0 1 0 0 0 0 0 2 2 0 0 0 0 0 0 | 0 2 2 0 0 0 0 0 0 1 1 2 0 0 | 1 1 2 0 0 1 .o.o3.o.o&#x | 0 1 0 1 | * * * * * 6 * * * | 0 0 1 0 0 0 0 0 1 1 1 0 0 0 0 | 0 0 1 1 1 0 0 0 0 0 1 1 1 0 | 0 1 1 1 0 1 .... ..x. | 0 0 2 0 | * * * * * * 3 * * | 0 0 0 1 0 0 0 1 0 0 0 1 0 1 0 | 0 1 0 0 0 1 0 1 0 1 0 1 0 1 | 1 0 1 0 1 1 ..oo3..oo&#x | 0 0 1 1 | * * * * * * * 6 * | 0 0 0 0 1 0 0 0 1 0 0 0 1 1 0 | 0 0 1 0 0 0 1 1 0 0 1 1 0 1 | 0 1 1 0 1 1 ...x .... | 0 0 0 2 | * * * * * * * * 3 | 0 0 0 0 0 1 0 0 0 1 0 0 1 0 1 | 0 0 0 1 0 0 1 0 1 0 1 0 1 1 | 0 1 0 1 1 1 -------------+---------+-------------------+-------------------------------+-----------------------------+------------ .... ox..&#x | 1 2 0 0 | 2 0 0 1 0 0 0 0 0 | 3 * * * * * * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 0 0 0 0 | 1 0 1 1 0 0 ooo.3ooo.&#x | 1 1 1 0 | 1 1 0 0 1 0 0 0 0 | * 3 * * * * * * * * * * * * * | 0 2 2 0 0 0 0 0 0 0 0 0 0 0 | 1 1 2 0 0 0 oo.o3oo.o&#x | 1 1 0 1 | 1 0 1 0 0 1 0 0 0 | * * 6 * * * * * * * * * * * * | 0 0 1 1 1 0 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0 .... o.x.&#x | 1 0 2 0 | 0 2 0 0 0 0 1 0 0 | * * * 3 * * * * * * * * * * * | 0 1 0 0 0 1 0 1 0 0 0 0 0 0 | 1 0 1 0 1 0 o.oo3o.oo&#x | 1 0 1 1 | 0 1 1 0 0 0 0 1 0 | * * * * 6 * * * * * * * * * * | 0 0 1 0 0 0 1 1 0 0 0 0 0 0 | 0 1 1 0 1 0 o..x ....&#x | 1 0 0 2 | 0 0 2 0 0 0 0 0 1 | * * * * * 3 * * * * * * * * * | 0 0 0 1 0 0 1 0 1 0 0 0 0 0 | 0 1 0 1 1 0 .o..3.x.. | 0 3 0 0 | 0 0 0 3 0 0 0 0 0 | * * * * * * 1 * * * * * * * * | 1 0 0 0 0 0 0 0 0 1 0 0 1 0 | 1 0 0 1 0 1 .... .xx.&#x | 0 2 2 0 | 0 0 0 1 2 0 1 0 0 | * * * * * * * 3 * * * * * * * | 0 1 0 0 0 0 0 0 0 1 0 1 0 0 | 1 0 1 0 0 1 .ooo3.ooo&#x | 0 1 1 1 | 0 0 0 0 1 1 0 1 0 | * * * * * * * * 6 * * * * * * | 0 0 1 0 0 0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1 .o.x ....&#x | 0 1 0 2 | 0 0 0 0 0 2 0 0 1 | * * * * * * * * * 3 * * * * * | 0 0 0 1 0 0 0 0 0 0 1 0 1 0 | 0 1 0 1 0 1 .... .x.o&#x | 0 2 0 1 | 0 0 0 1 0 2 0 0 0 | * * * * * * * * * * 3 * * * * | 0 0 0 0 1 0 0 0 0 0 0 1 1 0 | 0 0 1 1 0 1 ..o.3..x. | 0 0 3 0 | 0 0 0 0 0 0 3 0 0 | * * * * * * * * * * * 1 * * * | 0 0 0 0 0 1 0 0 0 1 0 0 0 1 | 1 0 0 0 1 1 ..ox ....&#x | 0 0 1 2 | 0 0 0 0 0 0 0 2 1 | * * * * * * * * * * * * 3 * * | 0 0 0 0 0 0 1 0 0 0 1 0 0 1 | 0 1 0 0 1 1 .... ..xo&#x | 0 0 2 1 | 0 0 0 0 0 0 1 2 0 | * * * * * * * * * * * * * 3 * | 0 0 0 0 0 0 0 1 0 0 0 1 0 1 | 0 0 1 0 1 1 ...x3...o | 0 0 0 3 | 0 0 0 0 0 0 0 0 3 | * * * * * * * * * * * * * * 1 | 0 0 0 0 0 0 0 0 1 0 0 0 1 1 | 0 0 0 1 1 1 -------------+---------+-------------------+-------------------------------+-----------------------------+------------ oo..3ox..&#x ♦ 1 3 0 0 | 3 0 0 3 0 0 0 0 0 | 3 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * | 1 0 0 1 0 0 .... oxx.&#x ♦ 1 2 2 0 | 2 2 0 1 2 0 1 0 0 | 1 2 0 1 0 0 0 1 0 0 0 0 0 0 0 | * 3 * * * * * * * * * * * * | 1 0 1 0 0 0 oooo3oooo&#x ♦ 1 1 1 1 | 1 1 1 0 1 1 0 1 0 | 0 1 1 0 1 0 0 0 1 0 0 0 0 0 0 | * * 6 * * * * * * * * * * * | 0 1 1 0 0 0 oo.x ....&#x ♦ 1 1 0 2 | 1 0 2 0 0 2 0 0 1 | 0 0 2 0 0 1 0 0 0 1 0 0 0 0 0 | * * * 3 * * * * * * * * * * | 0 1 0 1 0 0 .... ox.o&#x ♦ 1 2 0 1 | 2 0 1 1 0 2 0 0 0 | 1 0 2 0 0 0 0 0 0 0 1 0 0 0 0 | * * * * 3 * * * * * * * * * | 0 0 1 1 0 0 o.o.3o.x.&#x ♦ 1 0 3 0 | 0 3 0 0 0 0 3 0 0 | 0 0 0 3 0 0 0 0 0 0 0 1 0 0 0 | * * * * * 1 * * * * * * * * | 1 0 0 0 1 0 o.ox ....&#x ♦ 1 0 1 2 | 0 1 2 0 0 0 0 2 1 | 0 0 0 0 2 1 0 0 0 0 0 0 1 0 0 | * * * * * * 3 * * * * * * * | 0 1 0 0 1 0 .... o.xo&#x ♦ 1 0 2 1 | 0 2 1 0 0 0 1 2 0 | 0 0 0 1 2 0 0 0 0 0 0 0 0 1 0 | * * * * * * * 3 * * * * * * | 0 0 1 0 1 0 o..x3o..o&#x ♦ 1 0 0 3 | 0 0 3 0 0 0 0 0 3 | 0 0 0 0 0 3 0 0 0 0 0 0 0 0 1 | * * * * * * * * 1 * * * * * | 0 0 0 1 1 0 .oo.3.xx.&#x ♦ 0 3 3 0 | 0 0 0 3 3 0 3 0 0 | 0 0 0 0 0 0 1 3 0 0 0 1 0 0 0 | * * * * * * * * * 1 * * * * | 1 0 0 0 0 1 .oox ....&#x ♦ 0 1 1 2 | 0 0 0 0 1 2 0 2 1 | 0 0 0 0 0 0 0 0 2 1 0 0 1 0 0 | * * * * * * * * * * 3 * * * | 0 1 0 0 0 1 .... .xxo&#x ♦ 0 2 2 1 | 0 0 0 1 2 2 1 2 0 | 0 0 0 0 0 0 0 1 2 0 1 0 0 1 0 | * * * * * * * * * * * 3 * * | 0 0 1 0 0 1 .o.x3.x.o&#x ♦ 0 3 0 3 | 0 0 0 3 0 6 0 0 3 | 0 0 0 0 0 0 1 0 0 3 3 0 0 0 1 | * * * * * * * * * * * * 1 * | 0 0 0 1 0 1 ..ox3..xo&#x ♦ 0 0 3 3 | 0 0 0 0 0 0 3 6 3 | 0 0 0 0 0 0 0 0 0 0 0 1 3 3 1 | * * * * * * * * * * * * * 1 | 0 0 0 0 1 1 -------------+---------+-------------------+-------------------------------+-----------------------------+------------ ooo.3oxx.&#x ♦ 1 3 3 0 | 3 3 0 3 3 0 3 0 0 | 3 3 0 3 0 0 1 3 0 0 0 1 0 0 0 | 1 3 0 0 0 1 0 0 0 1 0 0 0 0 | 1 * * * * * ooox ....&#x ♦ 1 1 1 2 | 1 1 2 0 1 2 0 2 1 | 0 1 2 0 2 1 0 0 2 1 0 0 1 0 0 | 0 0 2 1 0 0 1 0 0 0 1 0 0 0 | * 3 * * * * .... oxxo&#x ♦ 1 2 2 1 | 2 2 1 1 2 2 1 2 0 | 1 2 2 1 2 0 0 1 2 0 1 0 0 1 0 | 0 1 2 0 1 0 0 1 0 0 0 1 0 0 | * * 3 * * * oo.x3ox.o&#x ♦ 1 3 0 3 | 3 0 3 3 0 6 0 0 3 | 3 0 6 0 0 3 1 0 0 3 3 0 0 0 1 | 1 0 0 3 3 0 0 0 1 0 0 0 1 0 | * * * 1 * * o.ox3o.xo&#x ♦ 1 0 3 3 | 0 3 3 0 0 0 3 6 3 | 0 0 0 3 6 3 0 0 0 0 0 1 3 3 1 | 0 0 0 0 0 1 3 3 1 0 0 0 0 1 | * * * * 1 * .oox3.xxo&#x ♦ 0 3 3 3 | 0 0 0 3 3 6 3 6 3 | 0 0 0 0 0 0 1 3 6 3 3 1 3 3 1 | 0 0 0 0 0 0 0 0 0 1 3 3 1 1 | * * * * * 1
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