Acronym | trial trarap | ||
Name | triangle atop inverted triangle-rectified-pentachoron duoprism | ||
Circumradius | sqrt(63/64) = 0.992157 | ||
Lace hyper city in approx. ASCII-art |
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Face vector | 33, 183, 431, 520, 333, 109, 17 | ||
Confer |
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Incidence matrix according to Dynkin symbol
xo3ox oo3ox3oo3oo&#x → height = 1/sqrt(15) = 0.258199
({3} || {3}-dual trarap)
o.3o. o.3o.3o.3o. | 3 * ♦ 2 20 0 0 | 1 20 10 60 0 0 0 0 | 10 60 30 20 40 0 0 0 0 0 | 30 20 40 10 20 10 10 0 0 0 0 0 | 10 20 10 10 5 5 2 0 0 0 | 5 5 2 1 0
.o3.o .o3.o3.o3.o | * 30 | 0 2 2 6 | 0 1 2 12 1 12 3 6 | 1 6 12 6 12 6 6 12 3 2 | 6 3 6 6 12 6 4 3 6 6 4 1 | 3 6 3 2 6 4 2 3 2 2 | 3 2 1 2 1
---------------------+------+------------+-------------------------+--------------------------------+------------------------------------+---------------------------+----------
x. .. .. .. .. .. | 2 0 | 3 * * * ♦ 1 10 0 0 0 0 0 0 | 10 30 0 0 0 0 0 0 0 0 | 30 10 20 0 0 0 0 0 0 0 0 0 | 10 20 5 5 0 0 0 0 0 0 | 5 5 1 0 0
oo3oo oo3oo3oo3oo&#x | 1 1 | * 60 * * | 0 1 1 6 0 0 0 0 | 1 6 6 3 6 0 0 0 0 0 | 6 3 6 3 6 3 2 0 0 0 0 0 | 3 6 3 2 3 2 1 0 0 0 | 3 2 1 1 0
.. .x .. .. .. .. | 0 2 | * * 30 * | 0 0 1 0 1 6 0 0 | 1 0 6 0 0 6 3 6 0 0 | 6 0 0 3 6 0 0 3 6 3 2 0 | 3 6 0 0 3 2 0 3 2 1 | 3 2 0 1 1
.. .. .. .x .. .. | 0 2 | * * * 90 | 0 0 0 2 0 2 1 2 | 0 1 2 2 4 1 2 4 2 1 | 1 1 2 2 4 4 2 1 2 4 2 1 | 1 2 2 1 4 2 2 2 1 2 | 2 1 1 2 1
---------------------+------+------------+-------------------------+--------------------------------+------------------------------------+---------------------------+----------
x.3o. .. .. .. .. | 3 0 | 3 0 0 0 | 1 * * * * * * * ♦ 10 0 0 0 0 0 0 0 0 0 | 30 0 0 0 0 0 0 0 0 0 0 0 | 10 20 0 0 0 0 0 0 0 0 | 5 5 0 0 0
xo .. .. .. .. ..&#x | 2 1 | 1 2 0 0 | * 30 * * * * * * | 1 6 0 0 0 0 0 0 0 0 | 6 3 6 0 0 0 0 0 0 0 0 0 | 3 6 3 2 0 0 0 0 0 0 | 3 2 1 0 0
.. ox .. .. .. ..&#x | 1 2 | 0 2 1 0 | * * 30 * * * * * | 1 0 6 0 0 0 0 0 0 0 | 6 0 0 3 6 0 0 0 0 0 0 0 | 3 6 0 0 3 2 0 0 0 0 | 3 2 0 1 0
.. .. .. ox .. ..&#x | 1 2 | 0 2 0 1 | * * * 180 * * * * | 0 1 1 1 2 0 0 0 0 0 | 1 1 2 1 2 2 1 0 0 0 0 0 | 1 2 2 1 2 1 1 0 0 0 | 2 1 1 1 0
.o3.x .. .. .. .. | 0 3 | 0 0 3 0 | * * * * 10 * * * | 1 0 0 0 0 6 0 0 0 0 | 6 0 0 0 0 0 0 3 6 0 0 0 | 3 6 0 0 0 0 0 3 2 0 | 3 2 0 0 1
.. .x .. .x .. .. | 0 4 | 0 0 2 2 | * * * * * 90 * * | 0 0 1 0 0 1 1 2 0 0 | 1 0 0 1 2 0 0 1 2 2 1 0 | 1 2 0 0 2 1 0 2 1 1 | 2 1 0 1 1
.. .. .o3.x .. .. | 0 3 | 0 0 0 3 | * * * * * * 30 * | 0 0 0 2 0 0 2 0 2 0 | 0 1 0 2 0 4 0 1 0 4 0 1 | 1 0 2 0 4 0 2 2 0 2 | 2 0 1 2 1
.. .. .. .x3.o .. | 0 3 | 0 0 0 3 | * * * * * * * 60 | 0 0 0 0 2 0 0 2 1 1 | 0 0 1 0 2 2 2 0 1 2 2 1 | 0 1 1 1 2 2 2 1 1 2 | 1 1 1 2 1
---------------------+------+------------+-------------------------+--------------------------------+------------------------------------+---------------------------+----------
xo3ox .. .. .. ..&#x ♦ 3 3 | 3 6 3 0 | 1 3 3 0 1 0 0 0 | 10 * * * * * * * * * ♦ 6 0 0 0 0 0 0 0 0 0 0 0 | 3 6 0 0 0 0 0 0 0 0 | 3 2 0 0 0
xo .. .. ox .. ..&#x ♦ 2 2 | 1 4 0 1 | 0 2 0 2 0 0 0 0 | * 90 * * * * * * * * | 1 1 2 0 0 0 0 0 0 0 0 0 | 1 2 2 1 0 0 0 0 0 0 | 2 1 1 0 0
.. ox .. ox .. ..&#x ♦ 1 4 | 0 4 2 2 | 0 0 2 2 0 1 0 0 | * * 90 * * * * * * * | 1 0 0 1 2 0 0 0 0 0 0 0 | 1 2 0 0 2 1 0 0 0 0 | 2 1 0 1 0
.. .. oo3ox .. ..&#x ♦ 1 3 | 0 3 0 3 | 0 0 0 3 0 0 1 0 | * * * 60 * * * * * * | 0 1 0 1 0 2 0 0 0 0 0 0 | 1 0 2 0 2 0 1 0 0 0 | 2 0 1 1 0
.. .. .. ox3oo ..&#x ♦ 1 3 | 0 3 0 3 | 0 0 0 3 0 0 0 1 | * * * * 120 * * * * * | 0 0 1 0 1 1 1 0 0 0 0 0 | 0 1 1 1 1 1 1 0 0 0 | 1 1 1 1 0
.o3.x .. .x .. .. ♦ 0 6 | 0 0 6 3 | 0 0 0 0 2 3 0 0 | * * * * * 30 * * * * | 1 0 0 0 0 0 0 1 2 0 0 0 | 1 2 0 0 0 0 0 2 1 0 | 2 1 0 0 1
.. .x .o3.x .. .. ♦ 0 6 | 0 0 3 6 | 0 0 0 0 0 3 2 0 | * * * * * * 30 * * * | 0 0 0 1 0 0 0 1 0 2 0 0 | 1 0 0 0 2 0 0 2 0 1 | 2 0 0 1 1
.. .x .. .x3.o .. ♦ 0 6 | 0 0 3 6 | 0 0 0 0 0 3 0 2 | * * * * * * * 60 * * | 0 0 0 0 1 0 0 0 1 1 1 0 | 0 1 0 0 1 1 0 1 1 1 | 1 1 0 1 1
.. .. .o3.x3.o .. ♦ 0 6 | 0 0 0 12 | 0 0 0 0 0 0 4 4 | * * * * * * * * 15 * | 0 0 0 0 0 2 0 0 0 2 0 1 | 0 0 1 0 2 0 2 1 0 2 | 1 0 1 2 1
.. .. .. .x3.o3.o ♦ 0 4 | 0 0 0 6 | 0 0 0 0 0 0 0 4 | * * * * * * * * * 15 | 0 0 0 0 0 0 2 0 0 0 2 1 | 0 0 0 1 0 2 2 0 1 2 | 0 1 1 2 1
---------------------+------+------------+-------------------------+--------------------------------+------------------------------------+---------------------------+----------
xo3ox .. ox .. ..&#x ♦ 3 6 | 3 12 6 3 | 1 6 6 6 2 3 0 0 | 2 3 3 0 0 1 0 0 0 0 | 30 * * * * * * * * * * * | 1 2 0 0 0 0 0 0 0 0 | 2 1 0 0 0
xo .. oo3ox .. ..&#x ♦ 2 3 | 1 6 0 3 | 0 3 0 6 0 0 1 0 | 0 3 0 2 0 0 0 0 0 0 | * 30 * * * * * * * * * * | 1 0 2 0 0 0 0 0 0 0 | 2 0 1 0 0
xo .. .. ox3oo ..&#x ♦ 2 3 | 1 6 0 3 | 0 3 0 6 0 0 0 1 | 0 3 0 0 2 0 0 0 0 0 | * * 60 * * * * * * * * * | 0 1 1 1 0 0 0 0 0 0 | 1 1 1 0 0
.. ox oo3ox .. ..&#x ♦ 1 6 | 0 6 3 6 | 0 0 3 6 0 3 2 0 | 0 0 3 2 0 0 1 0 0 0 | * * * 30 * * * * * * * * | 1 0 0 0 2 0 0 0 0 0 | 2 0 0 1 0
.. ox .. ox3oo ..&#x ♦ 1 6 | 0 6 3 6 | 0 0 3 6 0 3 0 2 | 0 0 3 0 2 0 0 1 0 0 | * * * * 60 * * * * * * * | 0 1 0 0 1 1 0 0 0 0 | 1 1 0 1 0
.. .. oo3ox3oo ..&#x ♦ 1 6 | 0 6 0 12 | 0 0 0 12 0 0 4 4 | 0 0 0 4 4 0 0 0 1 0 | * * * * * 30 * * * * * * | 0 0 1 0 1 0 1 0 0 0 | 1 0 1 1 0
.. .. .. ox3oo3oo&#x ♦ 1 4 | 0 4 0 6 | 0 0 0 6 0 0 0 4 | 0 0 0 0 4 0 0 0 0 1 | * * * * * * 30 * * * * * | 0 0 0 1 0 1 1 0 0 0 | 0 1 1 1 0
.o3.x .o3.x .. .. ♦ 0 9 | 0 0 9 9 | 0 0 0 0 3 9 3 0 | 0 0 0 0 0 3 3 0 0 0 | * * * * * * * 10 * * * * | 1 0 0 0 0 0 0 2 0 0 | 2 0 0 0 1
.o3.x .. .x3.o .. ♦ 0 9 | 0 0 9 9 | 0 0 0 0 3 9 0 3 | 0 0 0 0 0 3 0 3 0 0 | * * * * * * * * 20 * * * | 0 1 0 0 0 0 0 1 1 0 | 1 1 0 0 1
.. .x .o3.x3.o .. ♦ 0 12 | 0 0 6 24 | 0 0 0 0 0 12 8 8 | 0 0 0 0 0 0 4 4 2 0 | * * * * * * * * * 15 * * | 0 0 0 0 1 0 0 1 0 1 | 1 0 0 1 1
.. .x .. .x3.o3.o ♦ 0 8 | 0 0 4 12 | 0 0 0 0 0 6 0 8 | 0 0 0 0 0 0 0 4 0 2 | * * * * * * * * * * 15 * | 0 0 0 0 0 1 0 0 1 1 | 0 1 0 1 1
.. .. .o3.x3.o3.o ♦ 0 10 | 0 0 0 30 | 0 0 0 0 0 0 10 20 | 0 0 0 0 0 0 0 0 5 5 | * * * * * * * * * * * 3 | 0 0 0 0 0 0 2 0 0 2 | 0 0 1 2 1
---------------------+------+------------+-------------------------+--------------------------------+------------------------------------+---------------------------+----------
xo3ox oo3ox .. ..&#x ♦ 3 9 | 3 18 9 9 | 1 9 9 18 3 9 3 0 | 3 9 9 6 0 3 3 0 0 0 | 3 3 0 3 0 0 0 1 0 0 0 0 | 10 * * * * * * * * * | 2 0 0 0 0
xo3ox .. ox3oo ..&#x ♦ 3 9 | 3 18 9 9 | 1 9 9 18 3 9 0 3 | 3 9 9 0 6 3 0 3 0 0 | 3 0 3 0 3 0 0 0 1 0 0 0 | * 20 * * * * * * * * | 1 1 0 0 0
xo .. oo3ox3oo ..&#x ♦ 2 6 | 1 12 0 12 | 0 6 0 24 0 0 4 4 | 0 12 0 8 8 0 0 0 1 0 | 0 4 4 0 0 2 0 0 0 0 0 0 | * * 15 * * * * * * * | 1 0 1 0 0
xo .. .. ox3oo3oo&#x ♦ 2 4 | 1 8 0 6 | 0 4 0 12 0 0 0 4 | 0 6 0 0 8 0 0 0 0 1 | 0 0 4 0 0 0 2 0 0 0 0 0 | * * * 15 * * * * * * | 0 1 1 0 0
.. ox oo3ox3oo ..&#x ♦ 1 12 | 0 12 6 24 | 0 0 6 24 0 12 8 8 | 0 0 12 8 8 0 4 4 2 0 | 0 0 0 4 4 2 0 0 0 1 0 0 | * * * * 15 * * * * * | 1 0 0 1 0
.. ox .. ox3oo3oo&#x ♦ 1 8 | 0 8 4 12 | 0 0 4 12 0 6 0 8 | 0 0 6 0 8 0 0 4 0 2 | 0 0 0 0 4 0 2 0 0 0 1 0 | * * * * * 15 * * * * | 0 1 0 1 0
.. .. oo3ox3oo3oo&#x ♦ 1 10 | 0 10 0 30 | 0 0 0 30 0 0 10 20 | 0 0 0 10 20 0 0 0 5 5 | 0 0 0 0 0 5 5 0 0 0 0 1 | * * * * * * 6 * * * | 0 0 1 1 0
.o3.x .o3.x3.o .. ♦ 0 18 | 0 0 18 36 | 0 0 0 0 6 36 12 12 | 0 0 0 0 0 12 12 12 3 0 | 0 0 0 0 0 0 0 4 4 3 0 0 | * * * * * * * 5 * * | 1 0 0 0 1
.o3.x .. .x3.o3.o ♦ 0 12 | 0 0 12 18 | 0 0 0 0 4 18 0 12 | 0 0 0 0 0 6 0 12 0 3 | 0 0 0 0 0 0 0 0 4 0 3 0 | * * * * * * * * 5 * | 0 1 0 0 1
.. .x .o3.x3.o3.o ♦ 0 20 | 0 0 10 60 | 0 0 0 0 0 30 20 40 | 0 0 0 0 0 0 10 20 10 10 | 0 0 0 0 0 0 0 0 0 5 5 2 | * * * * * * * * * 3 | 0 0 0 1 1
---------------------+------+------------+-------------------------+--------------------------------+------------------------------------+---------------------------+----------
xo3ox oo3ox3oo ..&#x ♦ 3 18 | 3 36 18 36 | 1 18 18 72 6 36 12 12 | 6 36 36 24 24 12 12 12 3 0 | 12 12 12 12 12 6 0 4 4 3 0 0 | 4 4 3 0 3 0 0 1 0 0 | 5 * * * *
xo3ox .. ox3oo3oo&#x ♦ 3 12 | 3 24 12 18 | 1 12 12 36 4 18 0 12 | 4 18 18 0 24 6 0 12 0 3 | 6 0 12 0 12 0 6 0 4 0 3 0 | 0 4 0 3 0 3 0 0 1 0 | * 5 * * *
xo .. oo3ox3oo3oo&#x ♦ 2 10 | 1 20 0 30 | 0 10 0 60 0 0 10 20 | 0 30 0 20 40 0 0 0 5 5 | 0 10 20 0 0 10 10 0 0 0 0 1 | 0 0 5 5 0 0 2 0 0 0 | * * 3 * *
.. ox oo3ox3oo3oo&#x ♦ 1 20 | 0 20 10 60 | 0 0 10 60 0 30 20 40 | 0 0 30 20 40 0 10 20 10 10 | 0 0 0 10 20 10 10 0 0 5 5 2 | 0 0 0 0 5 5 2 0 0 1 | * * * 3 *
.o3.x .o3.x3.o3.o ♦ 0 30 | 0 0 30 90 | 0 0 0 0 10 90 30 60 | 0 0 0 0 0 30 30 60 15 15 | 0 0 0 0 0 0 0 10 20 15 15 3 | 0 0 0 0 0 0 0 5 5 3 | * * * * 1
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