Acronym | rapdafup |
Name | rectified-pentachoron duoantifastegium |
Circumradius | sqrt(5)/2 = 1.118034 |
Face vector | 200, 2100, 6600, 10000, 8440, 4180, 1240, 220, 22 |
Confer |
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Incidence matrix according to Dynkin symbol
oo3xo3ox3oo oo3xo3ox3oo&#x → height = 1/sqrt(5) = 0.447214
(rapdip || inv. (or: bi-alt.) rapdip)
o.3o.3o.3o. o.3o.3o.3o. & | 200 | 12 9 | 6 12 36 54 | 6 36 4 72 24 36 45 36 | 2 36 9 36 24 36 30 42 30 108 | 12 18 36 12 24 6 48 42 10 48 6 36 | 6 12 9 12 4 18 22 60 18 | 6 4 8 12 13 12 | 1 10
-----------------------------+-----+----------+-------------------+---------------------------------------+-------------------------------------------+------------------------------------------------+---------------------------------+-------------------+-----
.. x. .. .. .. .. .. .. & | 2 | 1200 * | 1 2 6 3 | 2 9 1 18 3 6 6 3 | 1 15 3 12 8 12 9 9 4 24 | 7 9 18 5 10 3 18 14 3 14 1 12 | 4 8 6 7 2 10 10 28 7 | 5 3 5 8 8 7 | 1 8
oo3oo3oo3oo oo3oo3oo3oo&#x | 2 | * 900 | 0 0 0 8 | 0 0 0 0 4 8 8 8 | 0 0 0 0 0 0 8 8 8 32 | 0 0 0 0 0 2 16 16 2 16 2 16 | 0 0 0 0 0 8 8 32 8 | 0 0 4 8 8 8 | 0 8
-----------------------------+-----+----------+-------------------+---------------------------------------+-------------------------------------------+------------------------------------------------+---------------------------------+-------------------+-----
o.3x. .. .. .. .. .. .. & | 3 | 3 0 | 400 * * * | 2 6 0 0 3 0 0 0 | 1 12 3 6 0 0 6 6 3 0 | 6 9 12 2 0 3 12 6 3 6 1 0 | 4 6 6 4 0 9 9 12 4 | 5 2 5 6 6 4 | 1 7
.. x.3o. .. .. .. .. .. & | 3 | 3 0 | * 800 * * | 1 0 1 6 0 3 0 0 | 1 6 0 3 6 6 6 0 0 9 | 6 3 9 3 8 3 9 9 0 4 0 6 | 3 7 3 5 2 9 4 17 4 | 4 3 4 7 5 5 | 1 7
.. x. .. .. .. x. .. .. & | 4 | 4 0 | * * 1800 * | 0 2 0 4 0 0 1 0 | 0 4 1 4 2 4 0 2 0 4 | 2 4 8 2 4 0 4 2 1 4 0 4 | 2 4 4 4 1 2 4 12 2 | 4 2 2 4 5 4 | 1 6
.. xo .. .. .. .. .. ..&#x & | 3 | 1 2 | * * * 3600 | 0 0 0 0 1 2 2 2 | 0 0 0 0 0 0 3 3 3 12 | 0 0 0 0 0 1 8 8 1 8 1 8 | 0 0 0 0 0 5 5 20 5 | 0 0 3 6 6 6 | 0 7
-----------------------------+-----+----------+-------------------+---------------------------------------+-------------------------------------------+------------------------------------------------+---------------------------------+-------------------+-----
o.3x.3o. .. .. .. .. .. & ♦ 6 | 12 0 | 4 4 0 0 | 200 * * * * * * * | 1 6 0 0 0 0 3 0 0 0 | 6 3 6 0 0 3 6 3 0 0 0 0 | 3 6 3 2 0 9 3 6 1 | 4 2 4 6 3 2 | 1 6
o.3x. .. .. .. x. .. .. & ♦ 6 | 9 0 | 2 0 3 0 | * 1200 * * * * * * | 0 2 1 2 0 0 0 1 0 0 | 1 4 4 1 0 0 2 0 1 2 0 0 | 2 2 4 2 0 1 4 4 1 | 4 1 2 2 4 2 | 1 5
.. x.3o.3o. .. .. .. .. & ♦ 4 | 6 0 | 0 4 0 0 | * * 200 * * * * * | 1 0 0 0 6 0 3 0 0 0 | 6 0 0 3 6 3 3 6 0 0 0 0 | 3 6 0 3 2 9 1 6 3 | 3 3 4 6 2 3 | 1 6
.. x.3o. .. .. x. .. .. & ♦ 6 | 9 0 | 0 2 3 0 | * * * 2400 * * * * | 0 1 0 1 1 2 0 0 0 1 | 1 1 4 1 3 0 1 1 0 1 0 2 | 1 3 2 3 1 1 1 7 1 | 3 2 1 3 3 3 | 1 5
oo3xo .. .. .. .. .. ..&#x & ♦ 4 | 3 3 | 1 0 0 3 | * * * * 1200 * * * | 0 0 0 0 0 0 2 2 2 0 | 0 0 0 0 0 1 4 4 1 4 1 0 | 0 0 0 0 0 4 4 8 4 | 0 0 3 4 4 4 | 0 6
.. xo3ox .. .. .. .. ..&#x & ♦ 6 | 6 6 | 0 2 0 6 | * * * * * 1200 * * | 0 0 0 0 0 0 2 0 0 4 | 0 0 0 0 0 1 4 4 0 2 0 4 | 0 0 0 0 0 4 2 12 2 | 0 0 2 5 4 4 | 0 6
.. xo .. .. .. xo .. ..&#x & ♦ 5 | 4 4 | 0 0 1 4 | * * * * * * 1800 * | 0 0 0 0 0 0 0 2 0 4 | 0 0 0 0 0 0 4 2 1 4 0 4 | 0 0 0 0 0 2 4 12 2 | 0 0 2 4 5 4 | 0 6
.. xo .. .. .. .. ox ..&#x & ♦ 4 | 2 4 | 0 0 0 4 | * * * * * * * 1800 | 0 0 0 0 0 0 0 0 2 4 | 0 0 0 0 0 0 2 4 0 4 1 4 | 0 0 0 0 0 2 2 12 4 | 0 0 2 4 4 5 | 0 6
-----------------------------+-----+----------+-------------------+---------------------------------------+-------------------------------------------+------------------------------------------------+---------------------------------+-------------------+-----
o.3x.3o.3o. .. .. .. .. & ♦ 10 | 30 0 | 10 20 0 0 | 5 0 5 0 0 0 0 0 | 40 * * * * * * * * * | 6 0 0 0 0 3 0 0 0 0 0 0 | 3 6 0 0 0 9 0 0 0 | 3 2 4 6 0 0 | 1 5
o.3x.3o. .. .. x. .. .. & ♦ 12 | 30 0 | 8 8 12 0 | 2 4 0 4 0 0 0 0 | * 600 * * * * * * * * | 1 1 2 0 0 0 1 0 0 0 0 0 | 1 2 2 1 0 1 1 2 0 | 3 1 1 2 2 1 | 1 4
o.3x. .. .. o.3x. .. .. & ♦ 9 | 18 0 | 6 0 9 0 | 0 6 0 0 0 0 0 0 | * * 200 * * * * * * * | 0 4 0 0 0 0 0 0 1 0 0 0 | 2 0 4 0 0 0 4 0 0 | 4 0 2 0 4 0 | 1 4
o.3x. .. .. .. x.3o. .. & ♦ 9 | 18 0 | 3 3 9 0 | 0 3 0 3 0 0 0 0 | * * * 800 * * * * * * | 0 1 2 1 0 0 0 0 0 1 0 0 | 1 1 2 2 0 0 1 2 1 | 3 1 1 1 2 2 | 1 4
.. x.3o.3o. .. x. .. .. & ♦ 8 | 16 0 | 0 8 6 0 | 0 0 2 4 0 0 0 0 | * * * * 600 * * * * * | 1 0 0 1 2 0 0 1 0 0 0 0 | 1 2 0 2 1 1 0 2 1 | 2 2 1 2 1 2 | 1 4
.. x.3o. .. .. x.3o. .. & ♦ 9 | 18 0 | 0 6 9 0 | 0 0 0 6 0 0 0 0 | * * * * * 800 * * * * | 0 0 2 0 2 0 0 0 0 0 0 1 | 0 2 1 2 1 0 0 4 0 | 2 2 0 2 2 2 | 1 4
oo3xo3ox .. .. .. .. ..&#x & ♦ 10 | 18 12 | 4 8 0 18 | 1 0 1 0 4 4 0 0 | * * * * * * 600 * * * | 0 0 0 0 0 1 2 2 0 0 0 0 | 0 0 0 0 0 4 1 4 1 | 0 0 2 4 2 2 | 0 5
oo3xo .. .. .. xo .. ..&#x & ♦ 7 | 9 6 | 2 0 3 9 | 0 1 0 0 2 0 3 0 | * * * * * * * 1200 * * | 0 0 0 0 0 0 2 0 1 2 0 0 | 0 0 0 0 0 1 4 4 1 | 0 0 2 2 4 2 | 0 5
oo3xo .. .. .. .. ox ..&#x & ♦ 5 | 4 6 | 1 0 0 9 | 0 0 0 0 2 0 0 3 | * * * * * * * * 1200 * | 0 0 0 0 0 0 0 2 0 2 1 0 | 0 0 0 0 0 1 1 4 4 | 0 0 2 2 2 4 | 0 5
.. xo3ox .. .. xo .. ..&#x & ♦ 9 | 12 12 | 0 3 3 18 | 0 0 0 1 0 2 3 3 | * * * * * * * * * 2400 | 0 0 0 0 0 0 1 1 0 1 0 2 | 0 0 0 0 0 1 1 7 1 | 0 0 1 3 3 3 | 0 5
-----------------------------+-----+----------+-------------------+---------------------------------------+-------------------------------------------+------------------------------------------------+---------------------------------+-------------------+-----
o.3x.3o.3o. .. x. .. .. & ♦ 20 | 70 0 | 20 40 30 0 | 10 10 10 20 0 0 0 0 | 2 5 0 0 5 0 0 0 0 0 | 120 * * * * * * * * * * * | 1 2 0 0 0 1 0 0 0 | 2 1 1 2 0 0 | 1 3
o.3x.3o. .. o.3x. .. .. & ♦ 18 | 54 0 | 18 12 36 0 | 3 24 0 12 0 0 0 0 | 0 3 4 4 0 0 0 0 0 0 | * 200 * * * * * * * * * * | 1 0 2 0 0 0 1 0 0 | 3 0 1 0 2 0 | 1 3
o.3x.3o. .. .. x.3o. .. & ♦ 18 | 54 0 | 12 18 36 0 | 3 12 0 24 0 0 0 0 | 0 3 0 4 0 4 0 0 0 0 | * * 400 * * * * * * * * * | 0 1 1 1 0 0 0 1 0 | 2 1 0 1 1 1 | 1 3
o.3x. .. .. .. x.3o.3o. & ♦ 12 | 30 0 | 4 12 18 0 | 0 6 3 12 0 0 0 0 | 0 0 0 4 3 0 0 0 0 0 | * * * 200 * * * * * * * * | 1 0 0 2 0 0 0 0 1 | 2 1 1 0 0 2 | 1 3
.. x.3o.3o. .. x.3o. .. & ♦ 12 | 30 0 | 0 16 18 0 | 0 0 3 18 0 0 0 0 | 0 0 0 0 3 4 0 0 0 0 | * * * * 400 * * * * * * * | 0 1 0 1 1 0 0 1 0 | 1 2 0 1 1 1 | 1 3
oo3xo3ox3oo .. .. .. ..&#x & ♦ 20 | 60 30 | 20 40 0 60 | 10 0 10 0 20 20 0 0 | 2 0 0 0 0 0 10 0 0 0 | * * * * * 60 * * * * * * | 0 0 0 0 0 4 0 0 0 | 0 0 2 4 0 0 | 0 4
oo3xo3ox .. .. xo .. ..&#x & ♦ 16 | 36 24 | 8 12 12 48 | 2 4 1 4 8 8 12 6 | 0 1 0 0 0 0 2 4 0 4 | * * * * * * 600 * * * * * | 0 0 0 0 0 1 1 2 0 | 0 0 1 2 2 1 | 0 4
oo3xo3ox .. .. .. ox ..&#x & ♦ 14 | 28 24 | 4 12 6 48 | 1 0 2 4 8 8 6 12 | 0 0 0 0 1 0 2 0 4 4 | * * * * * * * 600 * * * * | 0 0 0 0 0 1 0 2 1 | 0 0 1 2 1 2 | 0 4
oo3xo .. .. oo3xo .. ..&#x & ♦ 10 | 18 9 | 6 0 9 18 | 0 6 0 0 6 0 9 0 | 0 0 1 0 0 0 0 6 0 0 | * * * * * * * * 200 * * * | 0 0 0 0 0 0 4 0 0 | 0 0 2 0 4 0 | 0 4
oo3xo .. .. .. xo3ox ..&#x & ♦ 12 | 21 18 | 3 4 9 36 | 0 3 0 3 6 3 9 9 | 0 0 0 1 0 0 0 3 3 3 | * * * * * * * * * 800 * * | 0 0 0 0 0 0 1 2 1 | 0 0 1 1 2 2 | 0 4
oo3xo .. .. .. .. ox3oo&#x & ♦ 6 | 6 9 | 2 0 0 18 | 0 0 0 0 6 0 0 9 | 0 0 0 0 0 0 0 0 6 0 | * * * * * * * * * * 200 * | 0 0 0 0 0 0 0 0 4 | 0 0 2 0 0 4 | 0 4
.. xo3ox .. .. xo3ox ..&#x ♦ 18 | 36 36 | 0 12 18 72 | 0 0 0 12 0 12 18 18 | 0 0 0 0 0 2 0 0 0 12 | * * * * * * * * * * * 400 | 0 0 0 0 0 0 0 4 0 | 0 0 0 2 2 2 | 0 4
-----------------------------+-----+----------+-------------------+---------------------------------------+-------------------------------------------+------------------------------------------------+---------------------------------+-------------------+-----
o.3x.3o.3o. o.3x. .. .. & ♦ 30 | 120 0 | 40 60 90 0 | 15 60 15 60 0 0 0 0 | 3 15 10 20 15 0 0 0 0 0 | 3 5 0 5 0 0 0 0 0 0 0 0 | 40 * * * * * * * * | 2 0 1 0 0 0 | 1 2
o.3x.3o.3o. .. x.3o. .. & ♦ 30 | 120 0 | 30 70 90 0 | 15 30 15 90 0 0 0 0 | 3 15 0 10 15 20 0 0 0 0 | 3 0 5 0 5 0 0 0 0 0 0 0 | * 80 * * * * * * * | 1 1 0 1 0 0 | 1 2
o.3x.3o. .. o.3x.3o. .. & ♦ 36 | 144 0 | 48 48 144 0 | 12 96 0 96 0 0 0 0 | 0 24 16 32 0 16 0 0 0 0 | 0 8 8 0 0 0 0 0 0 0 0 0 | * * 50 * * * * * * | 2 0 0 0 1 0 | 1 2
o.3x.3o. .. .. x.3o.3o. & ♦ 24 | 84 0 | 16 40 72 0 | 4 24 6 72 0 0 0 0 | 0 6 0 16 12 16 0 0 0 0 | 0 0 4 4 4 0 0 0 0 0 0 0 | * * * 100 * * * * * | 1 1 0 0 0 1 | 1 2
.. x.3o.3o. .. x.3o.3o. & ♦ 16 | 48 0 | 0 32 36 0 | 0 0 8 48 0 0 0 0 | 0 0 0 0 12 16 0 0 0 0 | 0 0 0 0 8 0 0 0 0 0 0 0 | * * * * 50 * * * * | 0 2 0 0 1 0 | 1 2
oo3xo3ox3oo .. xo .. ..&#x & ♦ 30 | 100 60 | 30 60 30 150 | 15 10 15 20 40 40 30 30 | 3 5 0 0 5 0 20 10 10 20 | 1 0 0 0 0 2 5 5 0 0 0 0 | * * * * * 120 * * * | 0 0 1 2 0 0 | 0 3
oo3xo3ox .. oo3xo .. ..&#x & ♦ 22 | 60 36 | 18 16 36 90 | 3 24 1 12 24 12 36 18 | 0 3 4 4 0 0 3 24 6 12 | 0 1 0 0 0 0 3 0 4 4 0 0 | * * * * * * 200 * * | 0 0 1 0 2 0 | 0 3
oo3xo3ox .. .. xo3ox ..&#x & ♦ 30 | 84 72 | 12 34 54 180 | 3 12 3 42 24 36 54 54 | 0 3 0 4 3 8 6 12 12 42 | 0 0 1 0 1 0 3 3 0 4 0 4 | * * * * * * * 400 * | 0 0 0 1 1 1 | 0 3
oo3xo3ox .. .. .. ox3oo&#x & ♦ 18 | 42 36 | 8 16 18 90 | 1 6 3 12 24 12 18 36 | 0 0 0 4 3 0 3 6 24 12 | 0 0 0 1 0 0 0 3 0 4 4 0 | * * * * * * * * 200 | 0 0 1 0 0 2 | 0 3
-----------------------------+-----+----------+-------------------+---------------------------------------+-------------------------------------------+------------------------------------------------+---------------------------------+-------------------+-----
o.3x.3o.3o. o.3x.3o. .. & ♦ 60 | 300 0 | 100 160 360 0 | 40 240 30 360 0 0 0 0 | 6 90 40 120 60 80 0 0 0 0 | 12 30 40 20 20 0 0 0 0 0 0 0 | 4 4 5 5 0 0 0 0 0 | 20 * * * * * | 1 1
o.3x.3o.3o. .. x.3o.3o. & ♦ 40 | 180 0 | 40 120 180 0 | 20 60 30 240 0 0 0 0 | 4 30 0 40 60 80 0 0 0 0 | 6 0 20 10 40 0 0 0 0 0 0 0 | 0 4 0 5 5 0 0 0 0 | * 20 * * * * | 1 1
oo3xo3ox3oo oo3xo .. ..&#x & ♦ 40 | 150 90 | 50 80 90 270 | 20 60 20 60 90 60 90 90 | 4 15 10 20 15 0 30 60 60 60 | 3 5 0 5 0 3 15 15 10 20 10 0 | 1 0 0 0 0 3 5 0 5 | * * 40 * * * | 0 2
oo3xo3ox3oo .. xo3ox ..&#x & ♦ 60 | 240 180 | 60 140 180 540 | 30 60 30 180 120 150 180 180 | 6 30 0 20 30 40 60 60 60 180 | 6 0 10 0 10 6 30 30 0 20 0 20 | 0 2 0 0 0 6 0 10 0 | * * * 40 * * | 0 2
oo3xo3ox .. oo3xo3ox ..&#x & ♦ 52 | 192 144 | 48 80 180 432 | 12 96 8 144 96 96 180 144 | 0 24 16 32 12 32 24 96 48 144 | 0 8 8 0 8 0 24 12 16 32 0 16 | 0 0 1 0 1 0 8 8 0 | * * * * 50 * | 0 2
oo3xo3ox .. .. xo3ox3oo&#x & ♦ 48 | 168 144 | 32 80 144 432 | 8 48 12 144 96 96 144 180 | 0 12 0 32 24 32 24 48 96 144 | 0 0 8 8 8 0 12 24 0 32 16 16 | 0 0 0 2 0 0 0 8 8 | * * * * * 50 | 0 2
-----------------------------+-----+----------+-------------------+---------------------------------------+-------------------------------------------+------------------------------------------------+---------------------------------+-------------------+-----
o.3x.3o.3o. o.3x.3o.3o. & ♦ 100 | 600 0 | 200 400 900 0 | 100 600 100 1200 0 0 0 0 | 20 300 100 400 300 400 0 0 0 0 | 60 100 200 100 200 0 0 0 0 0 0 0 | 20 40 25 50 25 0 0 0 0 | 10 10 0 0 0 0 | 2 *
oo3xo3ox3oo oo3xo3ox ..&#x & ♦ 100 | 480 360 | 140 280 540 1260 | 60 300 60 600 360 360 540 540 | 10 120 40 160 120 160 150 300 300 600 | 18 30 60 30 60 12 120 120 40 160 40 80 | 4 8 5 10 5 18 30 60 30 | 1 1 4 4 5 5 | * 20
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