Acronym | trapendafup |
Name |
triangular-pentachoron duoantifastegiaprism, trapen atop bidual trapen |
Circumradius | sqrt(3)/2 = 0.866025 |
Face vector | 30, 210, 610, 910, 716, 272, 38 |
Confer |
|
Incidence matrix according to Dynkin symbol
xo3ox xo3oo3oo3ox&#x → height = 1/sqrt(15) = 0.258199
(trapen || bidual trapen)
o.3o. o.3o.3o.3o. & | 30 | 2 4 8 | 1 8 6 12 36 | 4 12 4 4 30 24 32 24 | 6 8 1 18 28 36 20 10 20 | 4 2 16 12 9 16 14 6 2 | 1 5 10 3
-----------------------+----+-----------+------------------+-----------------------------+-------------------------------+--------------------------+----------
x. .. .. .. .. .. & | 2 | 30 * * | 1 4 0 4 0 | 4 6 0 4 12 6 0 0 | 6 4 0 18 12 12 4 0 0 | 4 1 16 12 4 6 4 1 0 | 1 5 10 1
.. .. x. .. .. .. & | 2 | * 60 * | 0 2 3 0 6 | 1 6 3 0 6 3 12 6 | 3 6 1 3 12 9 6 6 8 | 3 2 6 3 6 7 5 3 2 | 1 3 4 3
oo3oo oo3oo3oo3oo&#x | 2 | * * 120 | 0 0 0 2 6 | 0 0 0 1 6 6 6 6 | 0 0 0 6 6 12 6 2 6 | 0 0 6 6 2 6 6 2 1 | 0 2 6 2
-----------------------+----+-----------+------------------+-----------------------------+-------------------------------+--------------------------+----------
x.3o. .. .. .. .. & | 3 | 3 0 0 | 10 * * * * | 4 0 0 4 0 0 0 0 | 6 0 0 18 0 0 0 0 0 | 4 0 16 12 0 0 0 0 0 | 1 5 10 0
x. .. x. .. .. .. & | 4 | 2 2 0 | * 60 * * * | 1 3 0 0 3 0 0 0 | 3 3 0 3 6 3 0 0 0 | 3 1 6 3 3 3 1 0 0 | 1 3 4 1
.. .. x.3o. .. .. & | 3 | 0 3 0 | * * 60 * * | 0 2 2 0 0 0 4 0 | 1 4 1 0 4 0 2 4 2 | 2 2 2 0 4 2 1 2 2 | 1 2 1 3
xo .. .. .. .. ..&#x & | 3 | 1 0 2 | * * * 120 * | 0 0 0 1 3 3 0 0 | 0 0 0 6 3 6 3 0 0 | 0 0 6 6 1 3 3 1 0 | 0 2 6 1
.. .. xo .. .. ..&#x & | 3 | 0 1 2 | * * * * 360 | 0 0 0 0 1 1 2 2 | 0 0 0 1 2 4 2 1 3 | 0 0 2 2 1 3 3 1 1 | 0 1 3 2
-----------------------+----+-----------+------------------+-----------------------------+-------------------------------+--------------------------+----------
x.3o. x. .. .. .. & ♦ 6 | 6 3 0 | 2 3 0 0 0 | 20 * * * * * * * | 3 0 0 3 0 0 0 0 0 | 3 0 6 3 0 0 0 0 0 | 1 3 4 0
x. .. x.3o. .. .. & ♦ 6 | 3 6 0 | 0 3 2 0 0 | * 60 * * * * * * | 1 2 0 0 2 0 0 0 0 | 2 1 2 0 2 1 0 0 0 | 1 2 1 1
.. .. x.3o.3o. .. & ♦ 4 | 0 6 0 | 0 0 4 0 0 | * * 30 * * * * * | 0 2 1 0 0 0 0 2 0 | 1 2 0 0 2 0 0 1 2 | 1 1 0 3
xo3ox .. .. .. ..&#x ♦ 6 | 6 0 6 | 2 0 0 6 0 | * * * 20 * * * * | 0 0 0 6 0 0 0 0 0 | 0 0 6 6 0 0 0 0 0 | 0 2 6 0
xo .. xo .. .. ..&#x & ♦ 5 | 2 2 4 | 0 1 0 2 2 | * * * * 180 * * * | 0 0 0 1 2 2 0 0 0 | 0 0 2 2 1 2 1 0 0 | 0 1 3 1
xo .. .. .. .. ox&#x & ♦ 4 | 1 1 4 | 0 0 0 2 2 | * * * * * 180 * * | 0 0 0 1 0 2 2 0 0 | 0 0 2 2 0 1 2 1 0 | 0 1 3 1
.. .. xo3oo .. ..&#x & ♦ 4 | 0 3 3 | 0 0 1 0 3 | * * * * * * 240 * | 0 0 0 0 1 0 1 1 1 | 0 0 1 0 1 1 1 1 1 | 0 1 1 2
.. .. xo .. .. ox&#x ♦ 4 | 0 2 4 | 0 0 0 0 4 | * * * * * * * 180 | 0 0 0 0 0 2 0 0 2 | 0 0 0 1 0 2 2 0 1 | 0 0 2 2
-----------------------+----+-----------+------------------+-----------------------------+-------------------------------+--------------------------+----------
x.3o. x.3o. .. .. & ♦ 9 | 9 9 0 | 3 9 3 0 0 | 3 3 0 0 0 0 0 0 | 20 * * * * * * * * | 2 0 2 0 0 0 0 0 0 | 1 2 1 0
x. .. x.3o.3o. .. & ♦ 8 | 4 12 0 | 0 6 8 0 0 | 0 4 2 0 0 0 0 0 | * 30 * * * * * * * | 1 1 0 0 1 0 0 0 0 | 1 1 0 1
.. .. x.3o.3o.3o. & ♦ 5 | 0 10 0 | 0 0 10 0 0 | 0 0 5 0 0 0 0 0 | * * 6 * * * * * * | 0 2 0 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 2 3 3 0 0 | * * * 60 * * * * * | 0 0 2 2 0 0 0 0 0 | 0 1 3 0
xo .. xo3oo .. ..&#x & ♦ 7 | 3 6 6 | 0 3 2 3 6 | 0 1 0 0 3 0 2 0 | * * * * 120 * * * * | 0 0 1 0 1 1 0 0 0 | 0 1 1 1
xo .. xo .. .. ox&#x & ♦ 6 | 2 3 8 | 0 1 0 4 8 | 0 0 0 0 2 2 0 2 | * * * * * 180 * * * | 0 0 0 1 0 1 1 0 0 | 0 0 2 1
xo .. .. .. oo3ox&#x & ♦ 5 | 1 3 6 | 0 0 1 3 6 | 0 0 0 0 0 3 2 0 | * * * * * * 120 * * | 0 0 1 0 0 0 1 1 0 | 0 1 1 1
.. .. xo3oo3oo ..&#x & ♦ 5 | 0 6 4 | 0 0 4 0 6 | 0 0 1 0 0 0 4 0 | * * * * * * * 60 * | 0 0 0 0 1 0 0 1 1 | 0 1 0 2
.. .. xo3oo .. ox&#x & ♦ 5 | 0 4 6 | 0 0 1 0 9 | 0 0 0 0 0 0 2 3 | * * * * * * * * 120 | 0 0 0 0 0 1 1 0 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 | 4 3 0 0 0 0 0 0 0 | 10 * * * * * * * * | 1 1 0 0
x. .. x.3o.3o.3o. & ♦ 10 | 5 20 0 | 0 10 20 0 0 | 0 10 10 0 0 0 0 0 | 0 5 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 3 9 9 6 0 | 1 0 0 3 3 0 3 0 0 | * * 40 * * * * * * | 0 1 1 0
xo3ox xo .. .. ox&#x ♦ 12 | 12 6 24 | 4 6 0 24 24 | 2 0 0 4 12 12 0 6 | 0 0 0 4 0 6 0 0 0 | * * * 30 * * * * * | 0 0 2 0
xo .. xo3oo3oo ..&#x & ♦ 9 | 4 12 8 | 0 6 8 4 12 | 0 4 2 0 6 0 8 0 | 0 1 0 0 4 0 0 2 0 | * * * * 30 * * * * | 0 1 0 1
xo .. xo3oo .. ox&#x & ♦ 8 | 3 7 12 | 0 3 2 6 18 | 0 1 0 0 6 3 4 6 | 0 0 0 0 2 3 0 0 2 | * * * * * 60 * * * | 0 0 1 1
xo .. xo .. oo3ox&#x & ♦ 7 | 2 5 12 | 0 1 1 6 18 | 0 0 0 0 3 6 4 6 | 0 0 0 0 0 3 2 0 2 | * * * * * * 60 * * | 0 0 1 1
xo .. .. oo3oo3ox&#x & ♦ 6 | 1 6 8 | 0 0 4 4 12 | 0 0 1 0 0 6 8 0 | 0 0 0 0 0 0 4 2 0 | * * * * * * * 30 * | 0 1 0 1
.. .. xo3oo3oo3ox&#x ♦ 10 | 0 20 20 | 0 0 20 0 60 | 0 0 10 0 0 0 40 30 | 0 0 2 0 0 0 0 10 20 | * * * * * * * * 6 | 0 0 0 2
-----------------------+----+-----------+------------------+-----------------------------+-------------------------------+--------------------------+----------
x.3o. x.3o.3o.3o. & ♦ 15 | 15 30 0 | 5 30 30 0 0 | 10 30 15 0 0 0 0 0 | 10 15 3 0 0 0 0 0 0 | 5 3 0 0 0 0 0 0 0 | 2 * * *
xo3ox xo3oo3oo ..&#x & ♦ 15 | 15 18 24 | 5 18 12 24 36 | 6 12 3 4 18 18 24 0 | 4 3 0 6 12 0 12 6 0 | 1 0 4 0 3 0 0 3 0 | * 10 * *
xo3ox xo3oo .. ox&#x & ♦ 15 | 15 12 36 | 5 12 3 36 54 | 4 3 0 6 27 27 12 18 | 1 0 0 9 6 18 6 0 6 | 0 0 2 3 0 3 3 0 0 | * * 20 *
xo .. xo3oo3oo3ox&#x & ♦ 15 | 5 30 40 | 0 10 30 20 120 | 0 10 15 0 30 30 80 60 | 0 5 3 0 20 30 20 20 40 | 0 1 0 0 5 10 10 5 2 | * * * 6
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