Acronym | scala (old: scalal scal) |
Name |
small cellated heptapeton alterprism, small cellated heptapeton atop inverted small cellated heptapeton, medial segment of barz |
Circumradius | sqrt(3/2) = 1.224745 |
Face vector | 210, 210, 6160, 8190, 5180, 1406, 148 |
Confer |
|
Incidence matrix according to Dynkin symbol
xo3ox3oo3oo3xo3ox&#x → height = sqrt(2/7) = 0.534522
(scal || inv scal)
o.3o.3o.3o.3o.3o. & | 210 | 4 8 8 | 6 24 12 4 12 36 | 4 24 24 12 8 6 24 30 4 32 24 | 1 8 12 12 8 12 2 4 20 36 18 28 10 20 | 2 4 6 4 1 6 14 16 16 12 9 2 | 1 3 5 10
-----------------------+-----+-------------+---------------------------+------------------------------------------------+------------------------------------------------------+------------------------------------------+-----------
x. .. .. .. .. .. & | 2 | 420 * * | 3 6 0 0 2 0 | 3 12 6 3 0 0 6 6 1 0 0 | 1 6 6 6 2 3 0 0 6 12 6 6 0 0 | 2 3 3 1 0 2 6 6 6 6 2 0 | 1 2 2 6
.. .. .. .. x. .. & | 2 | * 840 * | 0 3 3 1 0 3 | 0 3 6 3 3 3 3 3 0 6 3 | 0 1 3 3 3 6 1 3 6 6 3 6 3 4 | 1 1 3 3 1 3 4 6 4 3 3 1 | 1 2 3 4
oo3oo3oo3oo3oo3oo&#x | 2 | * * 840 | 0 0 0 0 2 6 | 0 0 0 0 0 0 6 6 1 6 6 | 0 0 0 0 0 0 0 0 6 12 6 6 2 6 | 0 0 0 0 0 2 6 6 6 6 2 1 | 0 2 2 6
-----------------------+-----+-------------+---------------------------+------------------------------------------------+------------------------------------------------------+------------------------------------------+-----------
x.3o. .. .. .. .. & | 3 | 3 0 0 | 420 * * * * * | 2 4 0 0 0 0 2 0 0 0 0 | 1 4 2 2 0 0 0 0 4 4 1 0 0 0 | 2 2 1 0 0 2 4 2 2 2 0 0 | 1 2 1 3
x. .. .. .. x. .. & | 4 | 2 2 0 | * 1260 * * * * | 0 2 2 1 0 0 0 1 0 0 0 | 0 1 2 2 1 2 0 0 0 2 1 2 0 0 | 1 1 2 1 0 0 1 2 2 2 1 0 | 1 1 1 3
.. .. .. o.3x. .. & | 3 | 0 3 0 | * * 840 * * * | 0 0 2 0 2 1 0 0 0 2 0 | 0 0 1 0 2 2 1 2 2 0 0 2 2 1 | 1 0 1 2 1 2 1 2 1 0 2 1 | 1 2 2 1
.. .. .. .. x.3o. & | 3 | 0 3 0 | * * * 280 * * | 0 0 0 3 0 3 3 0 0 0 0 | 0 0 0 3 0 6 0 3 6 3 3 0 0 0 | 0 1 3 3 1 3 3 6 1 3 0 0 | 1 1 3 4
xo .. .. .. .. ..&#x & | 3 | 1 0 2 | * * * * 840 * | 0 0 0 0 0 0 3 3 1 0 0 | 0 0 0 0 0 0 0 0 3 6 6 3 0 0 | 0 0 0 0 0 1 3 6 3 6 1 0 | 0 1 2 6
.. ox .. .. .. ..&#x & | 3 | 0 1 2 | * * * * * 2520 | 0 0 0 0 0 0 1 1 0 2 2 | 0 0 0 0 0 0 0 0 2 4 1 2 1 3 | 0 0 0 0 0 1 3 2 3 2 1 1 | 0 2 1 3
-----------------------+-----+-------------+---------------------------+------------------------------------------------+------------------------------------------------------+------------------------------------------+-----------
x.3o.3o. .. .. .. & ♦ 4 | 6 0 0 | 4 0 0 0 0 0 | 210 * * * * * * * * * * | 1 2 0 0 0 0 0 0 2 0 0 0 0 0 | 2 1 0 0 0 2 2 1 0 0 0 0 | 1 2 1 1
x.3o. .. .. x. .. & ♦ 6 | 6 3 0 | 2 3 0 0 0 0 | * 840 * * * * * * * * * | 0 1 1 1 0 0 0 0 0 1 0 0 0 0 | 1 1 1 0 0 0 1 0 1 1 0 0 | 1 1 0 2
x. .. .. o.3x. .. & ♦ 6 | 3 6 0 | 0 3 2 0 0 0 | * * 840 * * * * * * * * | 0 0 1 0 1 1 0 0 0 0 0 1 0 0 | 1 0 1 1 0 0 0 1 1 0 1 0 | 1 1 1 1
x. .. .. .. x.3o. & ♦ 6 | 3 6 0 | 0 3 0 2 0 0 | * * * 420 * * * * * * * | 0 0 0 2 0 2 0 0 0 0 1 0 0 0 | 0 1 2 1 0 0 0 2 0 2 0 0 | 1 0 1 3
.. .. o.3o.3x. .. & ♦ 4 | 0 6 0 | 0 0 4 0 0 0 | * * * * 420 * * * * * * | 0 0 0 0 1 0 1 1 0 0 0 0 1 0 | 1 0 0 1 1 1 0 0 0 0 1 1 | 1 2 1 0
.. .. .. o.3x.3o. & ♦ 6 | 0 12 0 | 0 0 4 4 0 0 | * * * * * 210 * * * * * | 0 0 0 0 0 2 0 2 2 0 0 0 0 0 | 0 0 1 2 1 2 1 2 0 0 0 0 | 1 1 2 1
xo3ox .. .. .. ..&#x & ♦ 6 | 3 3 6 | 1 0 0 1 3 3 | * * * * * * 840 * * * * | 0 0 0 0 0 0 0 0 2 2 1 0 0 0 | 0 0 0 0 0 1 2 2 1 2 0 0 | 0 1 1 3
xo .. .. .. xo ..&#x & ♦ 5 | 2 2 4 | 0 1 0 0 2 2 | * * * * * * * 1260 * * * | 0 0 0 0 0 0 0 0 0 2 1 2 0 0 | 0 0 0 0 0 0 1 2 2 2 1 0 | 0 1 1 3
xo .. .. .. .. ox&#x ♦ 4 | 2 0 4 | 0 0 0 0 4 0 | * * * * * * * * 210 * * | 0 0 0 0 0 0 0 0 0 0 6 0 0 0 | 0 0 0 0 0 0 0 6 0 6 0 0 | 0 0 2 6
.. ox3oo .. .. ..&#x & ♦ 4 | 0 3 3 | 0 0 1 0 0 3 | * * * * * * * * * 1680 * | 0 0 0 0 0 0 0 0 1 0 0 1 1 1 | 0 0 0 0 0 1 1 1 1 0 1 1 | 0 2 1 1
.. ox .. .. xo ..&#x ♦ 4 | 0 2 4 | 0 0 0 0 0 4 | * * * * * * * * * * 1260 | 0 0 0 0 0 0 0 0 0 2 0 0 0 2 | 0 0 0 0 0 0 2 0 2 1 0 1 | 0 2 0 2
-----------------------+-----+-------------+---------------------------+------------------------------------------------+------------------------------------------------------+------------------------------------------+-----------
x.3o.3o.3o. .. .. & ♦ 5 | 10 0 0 | 10 0 0 0 0 0 | 5 0 0 0 0 0 0 0 0 0 0 | 42 * * * * * * * * * * * * * | 2 0 0 0 0 2 0 0 0 0 0 0 | 1 2 1 0
x.3o.3o. .. x. .. & ♦ 8 | 12 4 0 | 8 6 0 0 0 0 | 2 4 0 0 0 0 0 0 0 0 0 | * 210 * * * * * * * * * * * * | 1 1 0 0 0 0 1 0 0 0 0 0 | 1 1 0 1
x.3o. .. o.3x. .. & ♦ 9 | 9 9 0 | 3 9 3 0 0 0 | 0 3 3 0 0 0 0 0 0 0 0 | * * 280 * * * * * * * * * * * | 1 0 1 0 0 0 0 0 1 0 0 0 | 1 1 0 1
x.3o. .. .. x.3o. & ♦ 9 | 9 9 0 | 3 9 0 3 0 0 | 0 3 0 3 0 0 0 0 0 0 0 | * * * 280 * * * * * * * * * * | 0 1 1 0 0 0 0 0 0 1 0 0 | 1 0 0 2
x. .. o.3o.3x. .. & ♦ 8 | 4 12 0 | 0 6 8 0 0 0 | 0 0 4 0 2 0 0 0 0 0 0 | * * * * 210 * * * * * * * * * | 1 0 0 1 0 0 0 0 0 0 1 0 | 1 1 1 0
x. .. .. o.3x.3o. & ♦ 12 | 6 24 0 | 0 12 8 8 0 0 | 0 0 4 4 0 2 0 0 0 0 0 | * * * * * 210 * * * * * * * * | 0 0 1 1 0 0 0 1 0 0 0 0 | 1 0 1 1
.. o.3o.3o.3x. .. & ♦ 5 | 0 10 0 | 0 0 10 0 0 0 | 0 0 0 0 5 0 0 0 0 0 0 | * * * * * * 84 * * * * * * * | 1 0 0 0 1 0 0 0 0 0 0 1 | 1 2 0 0
.. .. o.3o.3x.3o. & ♦ 10 | 0 30 0 | 0 0 20 10 0 0 | 0 0 0 0 5 5 0 0 0 0 0 | * * * * * * * 84 * * * * * * | 0 0 0 1 1 1 0 0 0 0 0 0 | 1 1 1 0
xo3ox3oo .. .. ..&#x & ♦ 10 | 6 12 12 | 4 0 4 4 6 12 | 1 0 0 0 0 1 4 0 0 4 0 | * * * * * * * * 420 * * * * * | 0 0 0 0 0 1 1 1 0 0 0 0 | 0 1 1 1
xo3ox .. .. xo ..&#x & ♦ 9 | 6 6 12 | 2 3 0 1 6 12 | 0 1 0 0 0 0 2 3 0 0 3 | * * * * * * * * * 840 * * * * | 0 0 0 0 0 0 1 0 1 1 0 0 | 0 1 0 2
xo3ox .. .. .. ox&#x & ♦ 9 | 6 6 12 | 1 3 0 2 12 6 | 0 0 0 1 0 0 2 3 3 0 0 | * * * * * * * * * * 420 * * * | 0 0 0 0 0 0 0 2 0 2 0 0 | 0 0 1 3
xo .. .. oo3xo ..&#x & ♦ 7 | 3 6 6 | 0 3 2 0 3 6 | 0 0 1 0 0 0 0 3 0 2 0 | * * * * * * * * * * * 840 * * | 0 0 0 0 0 0 0 1 1 0 1 0 | 0 1 1 1
.. ox3oo3oo .. ..&#x & ♦ 5 | 0 6 4 | 0 0 4 0 0 6 | 0 0 0 0 1 0 0 0 0 4 0 | * * * * * * * * * * * * 420 * | 0 0 0 0 0 1 0 0 0 0 1 1 | 0 2 1 0
.. ox3oo .. xo ..&#x & ♦ 5 | 0 4 6 | 0 0 1 0 0 9 | 0 0 0 0 0 0 0 0 0 2 3 | * * * * * * * * * * * * * 840 | 0 0 0 0 0 0 1 0 1 0 0 1 | 0 2 0 1
-----------------------+-----+-------------+---------------------------+------------------------------------------------+------------------------------------------------------+------------------------------------------+-----------
x.3o.3o.3o.3x. .. & ♦ 30 | 60 60 0 | 60 90 60 0 0 0 | 30 60 60 0 30 0 0 0 0 0 0 | 6 15 20 0 15 0 6 0 0 0 0 0 0 0 | 14 * * * * * * * * * * * | 1 1 0 0
x.3o.3o. .. x.3o. & ♦ 12 | 18 12 0 | 12 18 0 4 0 0 | 3 12 0 6 0 0 0 0 0 0 0 | 0 3 0 4 0 0 0 0 0 0 0 0 0 0 | * 70 * * * * * * * * * * | 1 0 0 1
x.3o. .. o.3x.3o. & ♦ 18 | 18 36 0 | 6 36 12 12 0 0 | 0 12 12 12 0 3 0 0 0 0 0 | 0 0 4 4 0 3 0 0 0 0 0 0 0 0 | * * 70 * * * * * * * * * | 1 0 0 1
x. .. o.3o.3x.3o. & ♦ 20 | 10 60 0 | 0 30 40 20 0 0 | 0 0 20 10 10 10 0 0 0 0 0 | 0 0 0 0 5 5 0 2 0 0 0 0 0 0 | * * * 42 * * * * * * * * | 1 0 1 0
.. o.3o.3o.3x.3o. & ♦ 15 | 0 60 0 | 0 0 60 20 0 0 | 0 0 0 0 30 15 0 0 0 0 0 | 0 0 0 0 0 0 6 6 0 0 0 0 0 0 | * * * * 14 * * * * * * * | 1 1 0 0
xo3ox3oo3oo .. ..&#x & ♦ 15 | 10 30 20 | 10 0 20 10 10 30 | 5 0 0 0 5 5 10 0 0 20 0 | 1 0 0 0 0 0 0 1 5 0 0 0 5 0 | * * * * * 84 * * * * * * | 0 1 1 0
xo3ox3oo .. xo ..&#x & ♦ 14 | 12 16 24 | 8 6 4 4 12 36 | 2 4 0 0 0 1 8 6 0 8 12 | 0 1 0 0 0 0 0 0 2 4 0 0 0 4 | * * * * * * 210 * * * * * | 0 1 0 1
xo3ox3oo .. .. ox&#x & ♦ 16 | 12 24 24 | 4 12 8 8 24 24 | 1 0 4 4 0 2 8 12 6 8 0 | 0 0 0 0 0 1 0 0 2 0 4 4 0 0 | * * * * * * * 210 * * * * | 0 0 1 1
xo3ox .. oo3xo ..&#x & ♦ 12 | 9 12 18 | 3 9 3 1 9 27 | 0 3 3 0 0 0 3 9 0 6 9 | 0 0 1 0 0 0 0 0 0 3 0 3 0 3 | * * * * * * * * 280 * * * | 0 1 0 1
xo3ox .. .. xo3ox&#x ♦ 18 | 18 18 36 | 6 18 0 6 36 36 | 0 6 0 6 0 0 12 18 9 0 9 | 0 0 0 2 0 0 0 0 0 6 6 0 0 0 | * * * * * * * * * 140 * * | 0 0 0 2
xo .. oo3oo3xo ..&#x & ♦ 9 | 4 12 8 | 0 6 8 0 4 12 | 0 0 4 0 2 0 0 6 0 8 0 | 0 0 0 0 1 0 0 0 0 0 0 4 2 0 | * * * * * * * * * * 210 * | 0 1 1 0
.. ox3oo3oo3xo ..&#x ♦ 10 | 0 20 20 | 0 0 20 0 0 60 | 0 0 0 0 10 0 0 0 0 40 30 | 0 0 0 0 0 0 2 0 0 0 0 0 10 20 | * * * * * * * * * * * 42 | 0 2 0 0
-----------------------+-----+-------------+---------------------------+------------------------------------------------+------------------------------------------------------+------------------------------------------+-----------
x.3o.3o.3o.3x.3o. & ♦ 105 | 210 420 0 | 210 630 420 140 0 0 | 105 420 420 210 210 105 0 0 0 0 0 | 21 105 140 140 105 105 42 42 0 0 0 0 0 0 | 7 35 35 21 7 0 0 0 0 0 0 0 | 2 * * *
xo3ox3oo3oo3xo ..&#x & ♦ 45 | 60 120 120 | 60 90 120 20 60 360 | 30 60 60 0 60 15 60 90 0 240 180 | 6 15 20 0 15 0 12 6 30 60 0 60 60 120 | 1 0 0 0 1 6 15 0 20 0 15 6 | * 14 * *
xo3ox3oo3oo .. ox&#x & ♦ 25 | 20 60 40 | 10 30 40 20 40 60 | 5 0 20 10 10 10 20 30 10 40 0 | 1 0 0 0 5 5 0 2 10 0 10 20 10 0 | 0 0 0 1 0 2 0 5 0 0 5 0 | * * 42
xo3ox3oo .. xo3ox&#x & ♦ 30 | 36 48 72 | 18 54 12 16 72 108 | 3 24 12 18 0 3 36 54 18 24 36 | 0 3 4 8 0 3 0 0 6 24 18 12 0 12 | 0 1 1 0 0 0 3 3 4 4 0 0 | * * * 70
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