Acronym | trahex dafup |
Name |
triangular-hexadecachoral duoantifastegiaprism, trahex atop dual-gyrated trahex |
Circumradius | sqrt(7/8) = 0.935414 |
Face vector | 48, 384, 1120, 1472, 934, 276, 32 |
Confer |
|
Incidence matrix according to Dynkin symbol
xo3ox xo3oo3ox *d3oo&#x → height = 1/sqrt(6) = 0.408248
(trahex || dual-gyro trahex)
o.3o. o.3o.3o. *d3o. & | 48 | 2 6 8 | 1 12 12 12 36 | 6 24 4 4 4 30 24 32 12 | 12 8 8 1 18 28 18 20 8 10 | 4 4 2 16 6 12 9 6 2 | 1 4 5 3
--------------------------+----+------------+--------------------+---------------------------------+---------------------------------+--------------------------+---------
x. .. .. .. .. .. & | 2 | 48 * * | 1 6 0 4 0 | 6 12 0 0 4 12 6 0 0 | 12 4 4 0 18 12 6 4 0 0 | 4 4 1 16 6 4 4 1 0 | 1 4 5 1
.. .. x. .. .. .. & | 2 | * 144 * | 0 2 4 0 4 | 1 8 2 2 0 4 2 8 2 | 4 4 4 1 2 8 3 4 4 4 | 2 2 2 4 1 6 4 2 2 | 1 2 2 3
oo3oo oo3oo3oo *d3oo&#x | 2 | * * 192 | 0 0 0 2 6 | 0 0 0 0 1 6 6 6 3 | 0 0 0 0 6 6 6 6 3 2 | 0 0 0 6 3 6 2 2 1 | 0 3 2 2
--------------------------+----+------------+--------------------+---------------------------------+---------------------------------+--------------------------+---------
x.3o. .. .. .. .. & | 3 | 3 0 0 | 16 * * * * | 6 0 0 0 4 0 0 0 0 | 12 0 0 0 18 0 0 0 0 0 | 4 4 0 16 6 0 0 0 0 | 1 4 5 0
x. .. x. .. .. .. & | 4 | 2 2 0 | * 144 * * * | 1 4 0 0 0 2 0 0 0 | 4 2 2 0 2 4 1 0 0 0 | 2 2 1 4 1 2 2 0 0 | 1 2 2 1
.. .. x.3o. .. .. & | 3 | 0 3 0 | * * 192 * * | 0 2 1 1 0 0 0 2 0 | 1 2 2 1 0 2 0 1 2 2 | 1 1 2 1 0 3 2 1 2 | 1 1 1 3
xo .. .. .. .. ..&#x & | 3 | 1 0 2 | * * * 192 * | 0 0 0 0 1 3 3 0 0 | 0 0 0 0 6 3 3 3 0 0 | 0 0 0 6 3 3 1 1 0 | 0 3 2 1
.. .. xo .. .. ..&#x & | 3 | 0 1 2 | * * * * 576 | 0 0 0 0 0 1 1 2 1 | 0 0 0 0 1 2 2 2 2 1 | 0 0 0 2 1 4 1 1 1 | 0 2 1 2
--------------------------+----+------------+--------------------+---------------------------------+---------------------------------+--------------------------+---------
x.3o. x. .. .. .. & ♦ 6 | 6 3 0 | 2 3 0 0 0 | 48 * * * * * * * * | 4 0 0 0 2 0 0 0 0 0 | 2 2 0 4 1 0 0 0 0 | 1 2 2 0
x. .. x.3o. .. .. & ♦ 6 | 3 6 0 | 0 3 2 0 0 | * 192 * * * * * * * | 1 1 1 0 0 1 0 0 0 0 | 1 1 1 1 0 1 1 0 0 | 1 1 1 1
.. .. x.3o.3o. .. & ♦ 4 | 0 6 0 | 0 0 4 0 0 | * * 48 * * * * * * | 0 2 0 1 0 0 0 0 2 0 | 1 0 2 0 0 3 0 0 2 | 1 1 0 3
.. .. x.3o. .. *d3o. & ♦ 4 | 0 6 0 | 0 0 4 0 0 | * * * 48 * * * * * | 0 0 2 1 0 0 0 0 0 2 | 0 1 2 0 0 0 2 1 2 | 1 0 1 3
xo3ox .. .. .. ..&#x ♦ 6 | 6 0 6 | 2 0 0 6 0 | * * * * 32 * * * * | 0 0 0 0 6 0 0 0 0 0 | 0 0 0 6 3 0 0 0 0 | 0 3 2 0
xo .. xo .. .. ..&#x & ♦ 5 | 2 2 4 | 0 1 0 2 2 | * * * * * 288 * * * | 0 0 0 0 1 2 1 0 0 0 | 0 0 0 2 1 2 1 0 0 | 0 2 1 1
xo .. .. .. ox ..&#x & ♦ 4 | 1 1 4 | 0 0 0 2 2 | * * * * * * 288 * * | 0 0 0 0 1 0 1 2 0 0 | 0 0 0 2 1 2 0 1 0 | 0 2 1 1
.. .. xo3oo .. ..&#x & ♦ 4 | 0 3 3 | 0 0 1 0 3 | * * * * * * * 384 * | 0 0 0 0 0 1 0 1 1 1 | 0 0 0 1 0 2 1 1 1 | 0 1 1 2
.. .. xo .. ox ..&#x ♦ 4 | 0 2 4 | 0 0 0 0 4 | * * * * * * * * 144 ♦ 0 0 0 0 0 0 2 0 2 0 | 0 0 0 0 1 4 0 0 1 | 0 2 0 2
--------------------------+----+------------+--------------------+---------------------------------+---------------------------------+--------------------------+---------
x.3o. x.3o. .. .. & ♦ 9 | 9 9 0 | 3 9 3 0 0 | 3 3 0 0 0 0 0 0 0 | 64 * * * * * * * * * | 1 1 0 1 0 0 0 0 0 | 1 1 1 0
x. .. x.3o.3o. .. & ♦ 8 | 4 12 0 | 0 6 8 0 0 | 0 4 2 0 0 0 0 0 0 | * 48 * * * * * * * * | 1 0 1 0 0 1 0 0 0 | 1 1 0 1
x. .. x.3o. .. *d3o. & ♦ 8 | 4 12 0 | 0 6 8 0 0 | 0 4 0 2 0 0 0 0 0 | * * 48 * * * * * * * | 0 1 1 0 0 0 1 0 0 | 1 0 1 1
.. .. x.3o.3o. *d3o. & ♦ 8 | 0 24 0 | 0 0 32 0 0 | 0 0 8 8 0 0 0 0 0 | * * * 6 * * * * * * | 0 0 2 0 0 0 0 0 2 | 1 0 0 3
xo3ox xo .. .. ..&#x & ♦ 9 | 9 3 12 | 3 3 0 12 6 | 1 0 0 0 2 3 3 0 0 | * * * * 96 * * * * * | 0 0 0 2 1 0 0 0 0 | 0 2 1 0
xo .. xo3oo .. ..&#x & ♦ 7 | 3 6 6 | 0 3 2 3 6 | 0 1 0 0 0 3 0 2 0 | * * * * * 192 * * * * | 0 0 0 1 0 1 1 0 0 | 0 1 1 1
xo .. xo .. ox ..&#x & ♦ 6 | 2 3 8 | 0 1 0 4 8 | 0 0 0 0 0 2 2 0 2 | * * * * * * 144 * * * | 0 0 0 0 1 2 0 0 0 | 0 2 0 1
xo .. .. oo3ox ..&#x & ♦ 5 | 1 3 6 | 0 0 1 3 6 | 0 0 0 0 0 0 3 2 0 | * * * * * * * 192 * * | 0 0 0 1 0 1 0 1 0 | 0 1 1 1
.. .. xo3oo3ox ..&#x ♦ 8 | 0 12 12 | 0 0 8 0 24 | 0 0 2 0 0 0 0 8 6 | * * * * * * * * 48 * | 0 0 0 0 0 2 0 0 1 | 0 1 0 2
.. .. xo3oo .. *d3oo&#x & ♦ 5 | 0 6 4 | 0 0 4 0 6 | 0 0 0 1 0 0 0 4 0 | * * * * * * * * * 96 | 0 0 0 0 0 0 1 1 1 | 0 0 1 2
--------------------------+----+------------+--------------------+---------------------------------+---------------------------------+--------------------------+---------
x.3o. x.3o.3o. .. & ♦ 12 | 12 18 0 | 4 18 12 0 0 | 6 12 3 0 0 0 0 0 0 | 4 3 0 0 0 0 0 0 0 0 | 16 * * * * * * * * | 1 1 0 0
x.3o. x.3o. .. *d3o. & ♦ 12 | 12 18 0 | 4 18 12 0 0 | 6 12 0 3 0 0 0 0 0 | 4 0 3 0 0 0 0 0 0 0 | * 16 * * * * * * * | 1 0 1 0
x. .. x.3o.3o. *d3o. & ♦ 16 | 8 48 0 | 0 24 64 0 0 | 0 32 16 16 0 0 0 0 0 | 0 8 8 2 0 0 0 0 0 0 | * * 6 * * * * * * | 1 0 0 1
xo3ox xo3oo .. ..&#x & ♦ 12 | 12 9 18 | 4 9 3 18 18 | 3 3 0 0 3 9 9 6 0 | 1 0 0 0 3 3 0 3 0 0 | * * * 64 * * * * * | 0 1 1 0
xo3ox xo .. ox ..&#x ♦ 12 | 12 6 24 | 4 6 0 24 24 | 2 0 0 0 4 12 12 0 6 | 0 0 0 0 4 0 6 0 0 0 | * * * * 24 * * * * | 0 2 0 0
xo .. xo3oo3ox ..&#x & ♦ 12 | 4 18 24 | 0 6 12 12 48 | 0 4 3 0 0 12 12 16 12 | 0 1 0 0 0 4 6 4 2 0 | * * * * * 48 * * * | 0 1 0 1
xo .. xo3oo .. *d3oo&#x & ♦ 9 | 4 12 8 | 0 6 8 4 12 | 0 4 0 2 0 6 0 8 0 | 0 0 1 0 0 4 0 0 0 2 | * * * * * * 48 * * | 0 0 1 1
xo .. .. oo3ox *d3oo&#x & ♦ 6 | 1 6 8 | 0 0 4 4 12 | 0 0 0 1 0 0 6 8 0 | 0 0 0 0 0 0 0 4 0 2 | * * * * * * * 48 * | 0 0 1 1
.. .. xo3oo3ox *d3oo&#x ♦ 16 | 0 48 32 | 0 0 64 0 96 | 0 0 16 16 0 0 0 64 24 | 0 0 0 2 0 0 0 0 8 16 | * * * * * * * * 6 | 0 0 0 2
--------------------------+----+------------+--------------------+---------------------------------+---------------------------------+--------------------------+---------
x.3o. x.3o.3o. *d3o. & ♦ 24 | 24 72 0 | 8 72 96 0 0 | 24 96 24 24 0 0 0 0 0 | 32 24 24 3 0 0 0 0 0 0 | 8 8 3 0 0 0 0 0 0 | 2 * * *
xo3ox xo3oo3ox ..&#x ♦ 24 | 24 36 72 | 8 36 24 72 144 | 12 24 6 0 12 72 72 48 36 | 8 6 0 0 24 24 36 24 6 0 | 2 0 0 8 6 6 0 0 0 | * 8 * *
xo3ox xo3oo .. *d3oo&#x & ♦ 15 | 15 18 24 | 5 18 12 24 36 | 6 12 0 3 4 18 18 24 0 | 4 0 3 0 6 12 0 12 0 6 | 0 1 0 4 0 0 3 3 0 | * * 16 *
xo .. xo3oo3ox *d3oo&#x & ♦ 24 | 8 72 64 | 0 24 96 32 192 | 0 32 24 24 0 48 48 128 48 | 0 8 8 3 0 32 24 32 16 32 | 0 0 1 0 0 8 8 8 2 | * * * 6
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