Acronym | spila (old: spilal spil) |
Name | small prismated heptapeton atop inverted small prismated heptapeton |
Circumradius | sqrt(7)/2 = 1.322876 |
Face vector | 280, 2940, 8260, 10150, 6160, 1736, 128 |
Confer |
|
Incidence matrix according to Dynkin symbol
xo3oo3ox3xo3oo3ox&#x → height = 1/sqrt(7) = 0.377964
(spil || inv spil)
o.3o.3o.3o.3o.3o. & | 280 | 3 9 9 | 3 18 9 9 27 27 | 1 9 9 18 3 9 3 12 18 45 18 12 18 | 3 9 9 6 3 3 6 21 15 27 27 21 15 | 3 3 3 1 9 9 10 12 3 12 9 3 | 1 4 6 4
-----------------------+-----+---------------+----------------------------+-------------------------------------------------------+---------------------------------------------------+-------------------------------------------+-----------
x. .. .. .. .. .. & | 2 | 420 * * | 2 6 0 0 6 0 | 1 6 3 6 0 0 0 6 3 12 6 0 0 | 3 6 3 2 0 0 3 12 8 6 9 6 0 | 3 2 1 0 6 5 6 7 2 3 3 0 | 1 3 4 3
.. .. .. x. .. .. & | 2 | * 1260 * | 0 2 2 2 0 2 | 0 1 2 4 1 4 1 0 1 4 0 2 4 | 1 2 4 2 2 2 1 2 0 6 2 4 6 | 2 1 2 1 4 2 2 1 0 5 2 2 | 1 3 3 1
oo3oo3oo3oo3oo3oo&#x | 2 | * * 1260 | 0 0 0 0 4 4 | 0 0 0 0 0 0 0 2 4 8 4 2 4 | 0 0 0 0 0 0 2 4 4 8 8 4 4 | 0 0 0 0 4 4 2 4 1 4 4 1 | 0 2 4 2
-----------------------+-----+---------------+----------------------------+-------------------------------------------------------+---------------------------------------------------+-------------------------------------------+-----------
x.3o. .. .. .. .. & | 3 | 3 0 0 | 280 * * * * * | 1 3 0 0 0 0 0 3 0 0 0 0 0 | 3 3 0 0 0 0 3 6 3 0 0 0 0 | 3 1 0 0 6 3 3 3 1 0 0 0 | 1 3 3 2
x. .. .. x. .. .. & | 4 | 2 2 0 | * 1260 * * * * | 0 1 1 2 0 0 0 0 0 2 0 0 0 | 1 2 2 1 0 0 0 2 0 2 1 2 0 | 2 1 1 0 2 1 2 1 0 2 1 0 | 1 2 2 1
.. .. o.3x. .. .. & | 3 | 0 3 0 | * * 840 * * * | 0 0 1 0 1 2 0 0 0 0 0 0 2 | 1 0 2 0 2 1 0 0 0 2 0 0 4 | 2 0 1 1 2 0 0 0 0 3 1 2 | 1 3 2 0
.. .. .. x.3o. .. & | 3 | 0 3 0 | * * * 840 * * | 0 0 0 2 0 2 1 0 0 0 0 1 0 | 0 1 2 2 1 2 1 0 0 1 0 2 2 | 1 1 2 1 3 2 1 0 0 2 0 1 | 1 2 2 1
xo .. .. .. .. ..&#x & | 3 | 1 0 2 | * * * * 2520 * | 0 0 0 0 0 0 0 1 1 2 2 0 0 | 0 0 0 0 0 0 1 2 3 2 4 1 0 | 0 0 0 0 2 3 1 3 1 1 2 0 | 0 1 3 2
.. .. ox .. .. ..&#x & | 3 | 0 1 2 | * * * * * 2520 | 0 0 0 0 0 0 0 0 1 2 0 1 2 | 0 0 0 0 0 0 1 1 0 4 2 2 3 | 0 0 0 0 3 2 1 1 0 3 2 1 | 0 2 3 1
-----------------------+-----+---------------+----------------------------+-------------------------------------------------------+---------------------------------------------------+-------------------------------------------+-----------
x.3o.3o. .. .. .. & ♦ 4 | 6 0 0 | 4 0 0 0 0 0 | 70 * * * * * * * * * * * * | 3 0 0 0 0 0 3 0 0 0 0 0 0 | 3 0 0 0 6 3 0 0 0 0 0 0 | 1 3 3 1
x.3o. .. x. .. .. & ♦ 6 | 6 3 0 | 2 3 0 0 0 0 | * 420 * * * * * * * * * * * | 1 1 0 0 0 0 0 2 0 0 0 0 0 | 2 1 0 0 2 0 2 1 0 0 0 0 | 1 2 1 1
x. .. o.3x. .. .. & ♦ 6 | 3 6 0 | 0 3 2 0 0 0 | * * 420 * * * * * * * * * * | 1 0 2 0 0 0 0 0 0 2 0 0 0 | 2 0 1 0 2 0 0 0 0 2 1 0 | 1 2 2 0
x. .. .. x.3o. .. & ♦ 6 | 3 6 0 | 0 3 0 2 0 0 | * * * 840 * * * * * * * * * | 0 1 1 1 0 0 0 0 0 0 0 1 0 | 1 1 1 0 0 1 1 0 0 1 0 0 | 1 1 1 1
.. o.3o.3x. .. .. & ♦ 4 | 0 6 0 | 0 0 4 0 0 0 | * * * * 210 * * * * * * * * | 1 0 0 0 2 0 0 0 0 0 0 0 2 | 2 0 0 1 2 0 0 0 0 1 0 2 | 1 3 1 0
.. .. o.3x.3o. .. & ♦ 6 | 0 12 0 | 0 0 4 4 0 0 | * * * * * 420 * * * * * * * | 0 0 1 0 1 1 0 0 0 0 0 0 1 | 1 0 1 1 1 0 0 0 0 1 0 1 | 1 2 1 0
.. .. .. x.3o.3o. & ♦ 4 | 0 6 0 | 0 0 0 4 0 0 | * * * * * * 210 * * * * * * | 0 0 0 2 0 2 1 0 0 0 0 0 0 | 0 1 2 1 2 2 0 0 0 0 0 0 | 1 1 2 1
xo3oo .. .. .. ..&#x & ♦ 4 | 3 0 3 | 1 0 0 0 3 0 | * * * * * * * 840 * * * * * | 0 0 0 0 0 0 1 2 2 0 0 0 0 | 0 0 0 0 2 2 1 2 1 0 0 0 | 0 1 2 2
xo .. ox .. .. ..&#x & ♦ 4 | 1 1 4 | 0 0 0 0 2 2 | * * * * * * * * 1260 * * * * | 0 0 0 0 0 0 1 0 0 2 2 0 0 | 0 0 0 0 2 2 0 1 0 1 2 0 | 0 1 3 1
xo .. .. xo .. ..&#x & ♦ 5 | 2 2 4 | 0 1 0 0 2 2 | * * * * * * * * * 2520 * * * | 0 0 0 0 0 0 0 1 0 1 1 1 0 | 0 0 0 0 1 1 1 1 0 1 1 0 | 0 1 2 1
xo .. .. .. .. ox&#x ♦ 4 | 2 0 4 | 0 0 0 0 4 0 | * * * * * * * * * * 1260 * * | 0 0 0 0 0 0 0 0 2 0 2 0 0 | 0 0 0 0 0 2 0 2 1 0 1 0 | 0 0 2 2
.. oo3ox .. .. ..&#x & ♦ 4 | 0 3 3 | 0 0 0 1 0 3 | * * * * * * * * * * * 840 * | 0 0 0 0 0 0 1 0 0 0 0 2 2 | 0 0 0 0 2 2 1 0 0 2 0 1 | 0 2 2 1
.. .. ox3xo .. ..&#x ♦ 6 | 0 6 6 | 0 0 2 0 0 6 | * * * * * * * * * * * * 840 | 0 0 0 0 0 0 0 0 0 2 0 0 2 | 0 0 0 0 2 0 0 0 0 2 1 1 | 0 2 2 0
-----------------------+-----+---------------+----------------------------+-------------------------------------------------------+---------------------------------------------------+-------------------------------------------+-----------
x.3o.3o.3x. .. .. & ♦ 20 | 30 30 0 | 20 30 20 0 0 0 | 5 10 10 0 5 0 0 0 0 0 0 0 0 | 42 * * * * * * * * * * * * | 2 0 0 0 2 0 0 0 0 0 0 0 | 1 2 1 0
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 0 0 | * 280 * * * * * * * * * * * | 1 1 0 0 0 0 1 0 0 0 0 0 | 1 1 0 1
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 0 0 | * * 210 * * * * * * * * * * | 1 0 1 0 0 0 0 0 0 1 0 0 | 1 1 1 0
x. .. .. x.3o.3o. & ♦ 8 | 4 12 0 | 0 6 0 8 0 0 | 0 0 0 4 0 0 2 0 0 0 0 0 0 | * * * 210 * * * * * * * * * | 0 1 1 0 0 1 0 0 0 0 0 0 | 1 0 1 1
.. 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 0 0 | * * * * 84 * * * * * * * * | 1 0 0 1 0 0 0 0 0 0 0 1 | 1 2 0 0
.. .. o.3x.3o.3o. & ♦ 10 | 0 30 0 | 0 0 10 20 0 0 | 0 0 0 0 0 5 5 0 0 0 0 0 0 | * * * * * 84 * * * * * * * | 0 0 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0
xo3oo3ox .. .. ..&#x & ♦ 8 | 6 6 12 | 4 0 0 4 12 12 | 1 0 0 0 0 0 1 4 6 0 0 4 0 | * * * * * * 210 * * * * * * | 0 0 0 0 2 2 0 0 0 0 0 0 | 0 1 2 1
xo3oo .. xo .. ..&#x & ♦ 7 | 6 3 6 | 2 3 0 0 6 3 | 0 1 0 0 0 0 0 2 0 3 0 0 0 | * * * * * * * 840 * * * * * | 0 0 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1
xo3oo .. .. .. ox&#x & ♦ 5 | 4 0 6 | 1 0 0 0 9 0 | 0 0 0 0 0 0 0 2 0 0 3 0 0 | * * * * * * * * 840 * * * * | 0 0 0 0 0 1 0 1 1 0 0 0 | 0 0 1 2
xo .. ox3xo .. ..&#x & ♦ 9 | 3 9 12 | 0 3 2 1 6 12 | 0 0 1 0 0 0 0 0 3 3 0 0 2 | * * * * * * * * * 840 * * * | 0 0 0 0 1 0 0 0 0 1 1 0 | 0 1 2 0
xo .. ox .. .. ox&#x & ♦ 6 | 3 2 8 | 0 1 0 0 8 4 | 0 0 0 0 0 0 0 0 2 2 2 0 0 | * * * * * * * * * * 1260 * * | 0 0 0 0 0 1 0 1 0 0 1 0 | 0 0 2 1
xo .. .. xo3oo ..&#x & ♦ 7 | 3 6 6 | 0 3 0 2 3 6 | 0 0 0 1 0 0 0 0 0 3 0 2 0 | * * * * * * * * * * * 840 * | 0 0 0 0 0 1 1 0 0 1 0 0 | 0 1 1 1
.. oo3ox3xo .. ..&#x & ♦ 10 | 0 18 12 | 0 0 8 4 0 18 | 0 0 0 0 1 1 0 0 0 0 0 4 4 | * * * * * * * * * * * * 420 | 0 0 0 0 1 0 0 0 0 1 0 1 | 0 2 1 0
-----------------------+-----+---------------+----------------------------+-------------------------------------------------------+---------------------------------------------------+-------------------------------------------+-----------
x.3o.3o.3x.3o. .. & ♦ 60 | 90 180 0 | 60 180 120 60 0 0 | 15 60 60 60 30 30 0 0 0 0 0 0 0 | 6 20 15 0 6 0 0 0 0 0 0 0 0 | 14 * * * * * * * * * * * | 1 1 0 0
x.3o. .. x.3o.3o. & ♦ 12 | 12 18 0 | 4 18 0 12 0 0 | 0 6 0 12 0 0 3 0 0 0 0 0 0 | 0 4 0 3 0 0 0 0 0 0 0 0 0 | * 70 * * * * * * * * * * | 1 0 0 1
x. .. o.3x.3o.3o. & ♦ 20 | 10 60 0 | 0 30 20 40 0 0 | 0 0 10 20 0 10 10 0 0 0 0 0 0 | 0 0 5 5 0 2 0 0 0 0 0 0 0 | * * 42 * * * * * * * * * | 1 0 1 0
.. o.3o.3x.3o.3o. & ♦ 20 | 0 90 0 | 0 0 60 60 0 0 | 0 0 0 0 15 30 15 0 0 0 0 0 0 | 0 0 0 0 6 6 0 0 0 0 0 0 0 | * * * 14 * * * * * * * * | 1 1 0 0
xo3oo3ox3xo .. ..&#x & ♦ 30 | 30 60 60 | 20 30 20 30 60 90 | 5 10 10 0 5 5 5 20 30 30 0 20 20 | 1 0 0 0 0 1 5 10 0 10 0 0 5 | * * * * 84 * * * * * * * | 0 1 1 0
xo3oo3ox .. .. ox&#x & ♦ 12 | 10 12 24 | 4 6 0 8 36 24 | 1 0 0 4 0 0 2 8 12 12 12 8 0 | 0 0 0 1 0 0 2 0 4 0 6 4 0 | * * * * * 210 * * * * * * | 0 0 1 1
xo3oo .. xo3oo ..&#x & ♦ 10 | 9 9 9 | 3 9 0 3 9 9 | 0 3 0 3 0 0 0 3 0 9 0 3 0 | 0 1 0 0 0 0 0 3 0 0 0 3 0 | * * * * * * 280 * * * * * | 0 1 0 1
xo3oo .. xo .. ox&#x & ♦ 8 | 7 3 12 | 2 3 0 0 18 6 | 0 1 0 0 0 0 0 4 3 6 6 0 0 | 0 0 0 0 0 0 0 2 2 0 3 0 0 | * * * * * * * 420 * * * * | 0 0 1 1
xo3oo .. .. oo3ox&#x ♦ 6 | 6 0 9 | 2 0 0 0 18 0 | 0 0 0 0 0 0 0 6 0 0 9 0 0 | 0 0 0 0 0 0 0 0 6 0 0 0 0 | * * * * * * * * 140 * * * | 0 0 0 2
xo .. ox3xo3oo ..&#x & ♦ 16 | 6 30 24 | 0 12 12 8 12 36 | 0 0 4 4 1 2 0 0 6 12 0 8 8 | 0 0 1 0 0 0 0 0 0 4 0 4 2 | * * * * * * * * * 210 * * | 0 1 1 0
xo .. ox3xo .. ox&#x ♦ 12 | 6 12 24 | 0 6 4 0 24 24 | 0 0 2 0 0 0 0 0 12 12 6 0 4 | 0 0 0 0 0 0 0 0 0 4 6 0 0 | * * * * * * * * * * 210 * | 0 0 2 0
.. oo3ox3xo3oo ..&#x ♦ 20 | 0 60 30 | 0 0 40 20 0 60 | 0 0 0 0 10 10 0 0 0 0 0 20 20 | 0 0 0 0 2 0 0 0 0 0 0 0 10 | * * * * * * * * * * * 42 | 0 2 0 0
-----------------------+-----+---------------+----------------------------+-------------------------------------------------------+---------------------------------------------------+-------------------------------------------+-----------
x.3o.3o.3x.3o.3o. & ♦ 140 | 210 630 0 | 140 630 420 420 0 0 | 35 210 210 420 105 210 105 0 0 0 0 0 0 | 21 140 105 105 42 42 0 0 0 0 0 0 0 | 7 35 21 7 0 0 0 0 0 0 0 0 | 2 * * *
xo3oo3ox3xo3oo ..&#x & ♦ 80 | 90 270 180 | 60 180 180 120 180 360 | 15 60 60 60 45 60 15 60 90 180 0 120 120 | 6 20 15 0 12 6 15 60 0 60 0 60 60 | 1 0 0 1 6 0 20 0 0 15 0 6 | * 14 * *
xo3oo3ox3xo .. ox&#x & ♦ 40 | 40 90 120 | 20 60 40 40 180 180 | 5 10 20 20 5 10 10 40 90 120 60 40 40 | 1 0 5 5 0 2 10 20 20 40 60 20 10 | 0 0 1 0 2 5 0 10 0 5 10 0 | * * 42 *
xo3oo3ox .. oo3ox&#x & ♦ 16 | 18 18 36 | 8 18 0 12 72 36 | 1 6 0 12 0 0 3 24 18 36 36 12 0 | 0 4 0 3 0 0 3 12 24 0 18 12 0 | 0 1 0 0 0 3 4 6 4 0 0 0 | * * * 70
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