Acronym | rapatrapen | ||
Name |
rectified pentachoron atop triangle-pentachoron duoprism, rap-first cap of roc | ||
Circumradius | sqrt(3)/2 = 0.866025 | ||
Lace hyper city in approx. ASCII-art |
| ||
Face vector | 25, 135, 275, 295, 189, 71, 14 | ||
Confer |
|
Incidence matrix according to Dynkin symbol
ox3oo ox3xo3oo3oo&#x → height = 2/sqrt(15) = 0.516398
(rap || trapen)
o.3o. o.3o.3o.3o. | 10 * ♦ 6 6 0 0 | 3 6 6 3 18 0 0 0 | 3 2 2 3 18 9 18 0 0 0 | 1 1 6 9 18 9 6 0 0 0 | 3 6 9 6 3 0 0 | 3 2 3 0
.o3.o .o3.o3.o3.o | * 15 | 0 4 2 4 | 0 0 8 4 6 1 8 6 | 0 0 4 8 12 6 4 4 12 4 | 0 4 6 12 8 4 1 6 8 1 | 6 4 8 2 1 4 2 | 4 1 2 1
---------------------+-------+-------------+------------------------+-----------------------------+-----------------------------+-------------------+--------
.. .. .. x. .. .. | 2 0 | 30 * * * | 1 2 0 0 3 0 0 0 | 2 1 0 0 3 3 6 0 0 0 | 1 0 1 3 6 6 3 0 0 0 | 1 2 6 3 3 0 0 | 2 1 3 0
oo3oo oo3oo3oo3oo&#x | 1 1 | * 60 * * | 0 0 2 1 3 0 0 0 | 0 0 1 2 6 3 3 0 0 0 | 0 1 3 6 6 3 1 0 0 0 | 3 3 6 2 1 0 0 | 3 1 2 0
.x .. .. .. .. .. | 0 2 | * * 15 * | 0 0 4 0 0 1 4 0 | 0 0 4 4 6 0 0 4 6 0 | 0 4 6 6 4 0 0 6 4 0 | 6 4 4 1 0 4 1 | 4 1 1 1
.. .. .x .. .. .. | 0 2 | * * * 30 | 0 0 0 1 0 0 2 3 | 0 0 0 2 0 3 0 1 6 3 | 0 1 0 6 0 3 0 3 2 1 | 3 0 6 0 1 3 2 | 3 0 2 1
---------------------+-------+-------------+------------------------+-----------------------------+-----------------------------+-------------------+--------
.. .. o.3x. .. .. | 3 0 | 3 0 0 0 | 10 * * * * * * * ♦ 2 0 0 0 0 3 0 0 0 0 | 1 0 0 3 0 6 0 0 0 0 | 1 0 6 0 3 0 0 | 2 0 3 0
.. .. .. x.3o. .. | 3 0 | 3 0 0 0 | * 20 * * * * * * | 1 1 0 0 0 0 3 0 0 0 | 1 0 0 0 3 3 3 0 0 0 | 0 1 3 3 3 0 0 | 1 1 3 0
ox .. .. .. .. ..&#x | 1 2 | 0 2 1 0 | * * 60 * * * * * | 0 0 1 1 3 0 0 0 0 0 | 0 1 3 3 3 0 0 0 0 0 | 3 3 3 1 0 0 0 | 3 1 1 0
.. .. ox .. .. ..&#x | 1 2 | 0 2 0 1 | * * * 30 * * * * ♦ 0 0 0 2 0 3 0 0 0 0 | 0 1 0 6 0 3 0 0 0 0 | 3 0 6 0 1 0 0 | 3 0 2 0
.. .. .. xo .. ..&#x | 2 1 | 1 2 0 0 | * * * * 90 * * * | 0 0 0 0 2 1 2 0 0 0 | 0 0 1 2 4 2 1 0 0 0 | 1 2 4 2 1 0 0 | 2 1 2 0
.x3.o .. .. .. .. | 0 3 | 0 0 3 0 | * * * * * 5 * * | 0 0 4 0 0 0 0 4 0 0 | 0 4 6 0 0 0 0 6 0 0 | 6 4 0 0 0 4 0 | 4 1 0 1
.x .. .x .. .. .. | 0 4 | 0 0 2 2 | * * * * * * 30 * | 0 0 0 1 0 0 0 1 3 0 | 0 1 0 3 0 0 0 3 3 0 | 3 0 3 0 0 3 1 | 3 0 1 1
.. .. .x3.o .. .. | 0 3 | 0 0 0 3 | * * * * * * * 30 | 0 0 0 0 0 1 0 0 2 2 | 0 0 0 2 0 2 0 1 4 1 | 1 0 4 0 1 2 2 | 2 0 2 1
---------------------+-------+-------------+------------------------+-----------------------------+-----------------------------+-------------------+--------
.. .. o.3x.3o. .. ♦ 6 0 | 12 0 0 0 | 4 4 0 0 0 0 0 0 | 5 * * * * * * * * * ♦ 1 0 0 0 0 3 0 0 0 0 | 0 0 3 0 3 0 0 | 1 0 3 0
.. .. .. x.3o.3o. ♦ 4 0 | 6 0 0 0 | 0 4 0 0 0 0 0 0 | * 5 * * * * * * * * | 1 0 0 0 0 0 3 0 0 0 | 0 0 0 3 3 0 0 | 0 1 3 0
ox3oo .. .. .. ..&#x ♦ 1 3 | 0 3 3 0 | 0 0 3 0 0 1 0 0 | * * 20 * * * * * * * | 0 1 3 0 0 0 0 0 0 0 | 3 3 0 0 0 0 0 | 3 1 0 0
ox .. ox .. .. ..&#x ♦ 1 4 | 0 4 2 2 | 0 0 2 2 0 0 1 0 | * * * 30 * * * * * * ♦ 0 1 0 3 0 0 0 0 0 0 | 3 0 3 0 0 0 0 | 3 0 1 0
ox .. .. xo .. ..&#x ♦ 2 2 | 1 4 1 0 | 0 0 2 0 2 0 0 0 | * * * * 90 * * * * * | 0 0 1 1 2 0 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0
.. .. ox3xo .. ..&#x ♦ 3 3 | 3 6 0 3 | 1 0 0 3 3 0 0 1 | * * * * * 30 * * * * ♦ 0 0 0 2 0 2 0 0 0 0 | 1 0 4 0 1 0 0 | 2 0 2 0
.. .. .. xo3oo ..&#x ♦ 3 1 | 3 3 0 0 | 0 1 0 0 3 0 0 0 | * * * * * * 60 * * * | 0 0 0 0 2 1 1 0 0 0 | 0 1 2 2 1 0 0 | 1 1 2 0
.x3.o .x .. .. .. ♦ 0 6 | 0 0 6 3 | 0 0 0 0 0 2 3 0 | * * * * * * * 10 * * | 0 1 0 0 0 0 0 3 0 0 | 3 0 0 0 0 3 0 | 3 0 0 1
.x .. .x3.o .. .. ♦ 0 6 | 0 0 3 6 | 0 0 0 0 0 0 3 2 | * * * * * * * * 30 * | 0 0 0 1 0 0 0 1 2 0 | 1 0 2 0 0 2 1 | 2 0 1 1
.. .. .x3.o3.o .. ♦ 0 4 | 0 0 0 6 | 0 0 0 0 0 0 0 4 | * * * * * * * * * 15 | 0 0 0 0 0 1 0 0 2 1 | 0 0 2 0 1 1 2 | 1 0 2 1
---------------------+-------+-------------+------------------------+-----------------------------+-----------------------------+-------------------+--------
.. .. o.3x.3o.3o. ♦ 10 0 | 30 0 0 0 | 10 20 0 0 0 0 0 0 | 5 5 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * | 0 0 0 0 3 0 0 | 0 0 3 0
ox3oo ox .. .. ..&#x ♦ 1 6 | 0 6 6 3 | 0 0 6 3 0 2 3 0 | 0 0 2 3 0 0 0 1 0 0 | * 10 * * * * * * * * | 3 0 0 0 0 0 0 | 3 0 0 0
ox3oo .. xo .. ..&#x ♦ 2 3 | 1 6 3 0 | 0 0 6 0 3 1 0 0 | 0 0 2 0 3 0 0 0 0 0 | * * 30 * * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0
ox .. ox3xo .. ..&#x ♦ 3 6 | 3 12 3 6 | 1 0 6 6 6 0 3 2 | 0 0 0 3 3 2 0 0 1 0 | * * * 30 * * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0
ox .. .. xo3oo ..&#x ♦ 3 2 | 3 6 1 0 | 0 1 3 0 6 0 0 0 | 0 0 0 0 3 0 2 0 0 0 | * * * * 60 * * * * * | 0 1 1 1 0 0 0 | 1 1 1 0
.. .. ox3xo3oo ..&#x ♦ 6 4 | 12 12 0 6 | 4 4 0 6 12 0 0 4 | 1 0 0 0 0 4 4 0 0 1 | * * * * * 15 * * * * | 0 0 2 0 1 0 0 | 1 0 2 0
.. .. .. xo3oo3oo&#x ♦ 4 1 | 6 4 0 0 | 0 4 0 0 6 0 0 0 | 0 1 0 0 0 0 4 0 0 0 | * * * * * * 15 * * * | 0 0 0 2 1 0 0 | 0 1 2 0
.x3.o .x3.o .. .. ♦ 0 9 | 0 0 9 9 | 0 0 0 0 0 3 9 3 | 0 0 0 0 0 0 0 3 3 0 | * * * * * * * 10 * * | 1 0 0 0 0 2 0 | 2 0 0 1
.x .. .x3.o3.o .. ♦ 0 8 | 0 0 4 12 | 0 0 0 0 0 0 6 8 | 0 0 0 0 0 0 0 0 4 2 | * * * * * * * * 15 * | 0 0 1 0 0 1 1 | 1 0 1 1
.. .. .x3.o3.o3.o ♦ 0 5 | 0 0 0 10 | 0 0 0 0 0 0 0 10 | 0 0 0 0 0 0 0 0 0 5 | * * * * * * * * * 3 | 0 0 0 0 1 0 2 | 0 0 2 1
---------------------+-------+-------------+------------------------+-----------------------------+-----------------------------+-------------------+--------
ox3oo ox3xo .. ..&#x ♦ 3 9 | 3 18 9 9 | 1 0 18 9 9 3 9 3 | 0 0 6 9 9 3 0 3 3 0 | 0 3 3 3 0 0 0 1 0 0 | 10 * * * * * * | 2 0 0 0
ox3oo .. xo3oo ..&#x ♦ 3 3 | 3 9 3 0 | 0 1 9 0 9 1 0 0 | 0 0 3 0 9 0 3 0 0 0 | 0 0 3 0 3 0 0 0 0 0 | * 20 * * * * * | 1 1 0 0
ox .. ox3xo3oo ..&#x ♦ 6 8 | 12 24 4 12 | 4 4 12 12 24 0 6 8 | 1 0 0 6 12 8 8 0 4 2 | 0 0 0 4 4 2 0 0 1 0 | * * 15 * * * * | 1 0 1 0
ox .. .. xo3oo3oo&#x ♦ 4 2 | 6 8 1 0 | 0 4 4 0 12 0 0 0 | 0 1 0 0 6 0 8 0 0 0 | 0 0 0 0 4 0 2 0 0 0 | * * * 15 * * * | 0 1 1 0
.. .. ox3xo3oo3oo&#x ♦ 10 5 | 30 20 0 10 | 10 20 0 10 30 0 0 10 | 5 5 0 0 0 10 20 0 0 5 | 1 0 0 0 0 5 5 0 0 1 | * * * * 3 * * | 0 0 2 0
.x3.o .x3.o3.o .. ♦ 0 12 | 0 0 12 18 | 0 0 0 0 0 4 18 12 | 0 0 0 0 0 0 0 6 12 3 | 0 0 0 0 0 0 0 4 3 0 | * * * * * 5 * | 1 0 0 1
.x .. .x3.o3.o3.o ♦ 0 10 | 0 0 5 20 | 0 0 0 0 0 0 10 20 | 0 0 0 0 0 0 0 0 10 10 | 0 0 0 0 0 0 0 0 5 2 | * * * * * * 3 | 0 0 1 1
---------------------+-------+-------------+------------------------+-----------------------------+-----------------------------+-------------------+--------
ox3oo ox3xo3oo ..&#x ♦ 6 12 | 12 36 12 18 | 4 4 36 18 36 4 18 12 | 1 0 12 18 36 12 12 6 12 3 | 0 6 12 12 12 3 0 4 3 0 | 4 4 3 0 0 1 0 | 5 * * *
ox3oo .. xo3oo3oo&#x ♦ 4 3 | 6 12 3 0 | 0 4 12 0 18 1 0 0 | 0 1 4 0 18 0 12 0 0 0 | 0 0 6 0 12 0 3 0 0 0 | 0 4 0 3 0 0 0 | * 5 * *
ox .. ox3xo3oo3oo&#x ♦ 10 10 | 30 40 5 20 | 10 20 20 20 60 0 10 20 | 5 5 0 10 30 20 40 0 10 10 | 1 0 0 10 20 10 10 0 5 2 | 0 0 5 5 2 0 1 | * * 3 *
.x3.o .x3.o3.o3.o ♦ 0 15 | 0 0 15 30 | 0 0 0 0 0 5 30 30 | 0 0 0 0 0 0 0 10 30 15 | 0 0 0 0 0 0 0 10 15 3 | 0 0 0 0 0 5 3 | * * * 1
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