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Acronym
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srene
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Name
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small rhombated enneazetton,
cantellated enneazetton
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Circumradius
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sqrt(19)/3 = 1.452966
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Lace city
in approx. ASCII-art
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x3o3o3o3o3o o3x3o3o3o3o -- o3x3o3o3o3o3o (roc)
x3o3o3o3o3o u3o3o3o3o3o x3x3o3o3o3o -- x3x3o3o3o3o3o (toc)
o3x3o3o3o3o x3x3o3o3o3o x3o3x3o3o3o -- x3o3x3o3o3o3o (saro)
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Face vector
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252, 1764, 3864, 4536, 3402, 1596, 432, 54
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Confer
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- general polytopal classes:
-
Wythoffian polyzetta
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External
links
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Incidence matrix according to Dynkin symbol
x3o3x3o3o3o3o3o
. . . . . . . . | 252 | 2 12 | 1 12 6 30 | 6 30 15 40 | 15 40 20 30 | 20 30 15 12 | 15 12 6 2 | 6 2 1
----------------+-----+----------+-----------------+-------------------+-------------------+----------------+--------------+-------
x . . . . . . . | 2 | 252 * | 1 6 0 0 | 6 15 0 0 | 15 20 0 0 | 20 15 0 0 | 15 6 0 0 | 6 1 0
. . x . . . . . | 2 | * 1512 | 0 1 1 5 | 1 5 5 10 | 5 10 10 10 | 10 10 10 5 | 10 5 5 1 | 5 1 1
----------------+-----+----------+-----------------+-------------------+-------------------+----------------+--------------+-------
x3o . . . . . . | 3 | 3 0 | 84 * * * ♦ 6 0 0 0 | 15 0 0 0 | 20 0 0 0 | 15 0 0 0 | 6 0 0
x . x . . . . . | 4 | 2 2 | * 756 * * | 1 5 0 0 | 5 10 0 0 | 10 10 0 0 | 10 5 0 0 | 5 1 0
. o3x . . . . . | 3 | 0 3 | * * 504 * | 1 0 5 0 | 5 0 10 0 | 10 0 10 0 | 10 0 5 0 | 5 0 1
. . x3o . . . . | 3 | 0 3 | * * * 2520 | 0 1 1 4 | 1 4 4 6 | 4 6 6 4 | 6 4 4 1 | 4 1 1
----------------+-----+----------+-----------------+-------------------+-------------------+----------------+--------------+-------
x3o3x . . . . . ♦ 12 | 12 12 | 4 6 4 0 | 126 * * * ♦ 5 0 0 0 | 10 0 0 0 | 10 0 0 0 | 5 0 0
x . x3o . . . . ♦ 6 | 3 6 | 0 3 0 2 | * 1260 * * | 1 4 0 0 | 4 6 0 0 | 6 4 0 0 | 4 1 0
. o3x3o . . . . ♦ 6 | 0 12 | 0 0 4 4 | * * 630 * | 1 0 4 0 | 4 0 6 0 | 6 0 4 0 | 4 0 1
. . x3o3o . . . ♦ 4 | 0 6 | 0 0 0 4 | * * * 2520 | 0 1 1 3 | 1 3 3 3 | 3 3 3 1 | 3 1 1
----------------+-----+----------+-----------------+-------------------+-------------------+----------------+--------------+-------
x3o3x3o . . . . ♦ 30 | 30 60 | 10 30 20 20 | 5 10 5 0 | 126 * * * ♦ 4 0 0 0 | 6 0 0 0 | 4 0 0
x . x3o3o . . . ♦ 8 | 4 12 | 0 6 0 8 | 0 4 0 2 | * 1260 * * | 1 3 0 0 | 3 3 0 0 | 3 1 0
. o3x3o3o . . . ♦ 10 | 0 30 | 0 0 10 20 | 0 0 5 5 | * * 504 * | 1 0 3 0 | 3 0 3 0 | 3 0 1
. . x3o3o3o . . ♦ 5 | 0 10 | 0 0 0 10 | 0 0 0 5 | * * * 1512 | 0 1 1 2 | 1 2 2 1 | 2 1 1
----------------+-----+----------+-----------------+-------------------+-------------------+----------------+--------------+-------
x3o3x3o3o . . . ♦ 60 | 60 180 | 20 90 60 120 | 15 60 30 30 | 6 15 6 0 | 84 * * * | 3 0 0 0 | 3 0 0
x . x3o3o3o . . ♦ 10 | 5 20 | 0 10 0 20 | 0 10 0 10 | 0 5 0 2 | * 756 * * | 1 2 0 0 | 2 1 0
. o3x3o3o3o . . ♦ 15 | 0 60 | 0 0 20 60 | 0 0 15 30 | 0 0 6 6 | * * 252 * | 1 0 2 0 | 2 0 1
. . x3o3o3o3o . ♦ 6 | 0 15 | 0 0 0 20 | 0 0 0 15 | 0 0 0 6 | * * * 504 | 0 1 1 1 | 1 1 1
----------------+-----+----------+-----------------+-------------------+-------------------+----------------+--------------+-------
x3o3x3o3o3o . . ♦ 105 | 105 420 | 35 210 140 420 | 35 210 105 210 | 21 105 42 42 | 7 21 7 0 | 36 * * * | 2 0 0
x . x3o3o3o3o . ♦ 12 | 6 30 | 0 15 0 40 | 0 20 0 30 | 0 15 0 12 | 0 6 0 2 | * 252 * * | 1 1 0
. o3x3o3o3o3o . ♦ 21 | 0 105 | 0 0 35 140 | 0 0 35 105 | 0 0 21 42 | 0 0 7 7 | * * 72 * | 1 0 1
. . x3o3o3o3o3o ♦ 7 | 0 21 | 0 0 0 35 | 0 0 0 35 | 0 0 0 21 | 0 0 0 7 | * * * 72 | 0 1 1
----------------+-----+----------+-----------------+-------------------+-------------------+----------------+--------------+-------
x3o3x3o3o3o3o . ♦ 168 | 168 840 | 56 420 280 1120 | 70 560 280 840 | 56 420 168 336 | 28 168 56 56 | 8 28 8 0 | 9 * *
x . x3o3o3o3o3o ♦ 14 | 7 42 | 0 21 0 70 | 0 35 0 70 | 0 35 0 42 | 0 21 0 14 | 0 7 0 2 | * 36 *
. o3x3o3o3o3o3o ♦ 28 | 0 168 | 0 0 56 280 | 0 0 70 280 | 0 0 56 168 | 0 0 28 56 | 0 0 8 8 | * * 9
oxx3xxo3oox3ooo3ooo3ooo3ooo&#xt → all heights = 3/4
(roc || pseudo toc || saro)
...