Acronym | tiv |
Name |
truncated pentacosidodecayotton, truncated enneacross, equatorial cross-section of vee-first take |
Circumradius | sqrt(5/2) = 1.581139 |
Inradius wrt. ek | sqrt(2) = 1.414214 |
Inradius wrt. tene | 1/sqrt(2) = 0.707107 |
Volume | 1093 sqrt(2)/1260 = 1.226774 |
Surface | 437/28 = 15.607143 |
Dihedral angles
(at margins) | |
Face vector | 288, 2160, 8736, 22176, 36288, 37632, 23040, 6912, 530 |
Confer |
|
Incidence matrix according to Dynkin symbol
x3x3o3o3o3o3o3o4o . . . . . . . . . | 288 | 1 14 | 14 84 | 84 280 | 280 560 | 560 672 | 672 448 | 448 128 | 128 1 ------------------+-----+----------+----------+------------+------------+------------+------------+-----------+------- x . . . . . . . . | 2 | 144 * ♦ 14 0 | 84 0 | 280 0 | 560 0 | 672 0 | 448 0 | 128 0 . x . . . . . . . | 2 | * 2016 | 1 12 | 12 60 | 60 160 | 160 240 | 240 192 | 192 64 | 64 1 ------------------+-----+----------+----------+------------+------------+------------+------------+-----------+------- x3x . . . . . . . | 6 | 3 3 | 672 * ♦ 12 0 | 60 0 | 160 0 | 240 0 | 192 0 | 64 0 . x3o . . . . . . | 3 | 0 3 | * 8064 | 1 10 | 10 40 | 40 80 | 80 80 | 80 32 | 32 1 ------------------+-----+----------+----------+------------+------------+------------+------------+-----------+------- x3x3o . . . . . . ♦ 12 | 6 12 | 4 4 | 2016 * ♦ 10 0 | 40 0 | 80 0 | 80 0 | 32 0 . x3o3o . . . . . ♦ 4 | 0 6 | 0 4 | * 20160 | 1 8 | 8 24 | 24 32 | 32 16 | 16 1 ------------------+-----+----------+----------+------------+------------+------------+------------+-----------+------- x3x3o3o . . . . . ♦ 20 | 10 30 | 10 20 | 5 5 | 4032 * ♦ 8 0 | 24 0 | 32 0 | 16 0 . x3o3o3o . . . . ♦ 5 | 0 10 | 0 10 | 0 5 | * 32256 | 1 6 | 6 12 | 12 8 | 8 1 ------------------+-----+----------+----------+------------+------------+------------+------------+-----------+------- x3x3o3o3o . . . . ♦ 30 | 15 60 | 20 60 | 15 30 | 6 6 | 5376 * ♦ 6 0 | 12 0 | 8 0 . x3o3o3o3o . . . ♦ 6 | 0 15 | 0 20 | 0 15 | 0 6 | * 32256 | 1 4 | 4 4 | 4 1 ------------------+-----+----------+----------+------------+------------+------------+------------+-----------+------- x3x3o3o3o3o . . . ♦ 42 | 21 105 | 35 140 | 35 105 | 21 42 | 7 7 | 4608 * | 4 0 | 4 0 . x3o3o3o3o3o . . ♦ 7 | 0 21 | 0 35 | 0 35 | 0 21 | 0 7 | * 18432 | 1 2 | 2 1 ------------------+-----+----------+----------+------------+------------+------------+------------+-----------+------- x3x3o3o3o3o3o . . ♦ 56 | 28 168 | 56 280 | 70 280 | 56 168 | 28 56 | 8 8 | 2304 * | 2 0 . x3o3o3o3o3o3o . ♦ 8 | 0 28 | 0 56 | 0 70 | 0 56 | 0 28 | 0 8 | * 4608 | 1 1 ------------------+-----+----------+----------+------------+------------+------------+------------+-----------+------- x3x3o3o3o3o3o3o . ♦ 72 | 36 252 | 84 504 | 126 630 | 126 504 | 84 252 | 36 72 | 9 9 | 512 * . x3o3o3o3o3o3o4o ♦ 16 | 0 112 | 0 448 | 0 1120 | 0 1792 | 0 1792 | 0 1024 | 0 256 | * 18
o3o3o *b3o3o3o3o3x3x . . . . . . . . . | 288 | 14 1 | 84 14 | 280 84 | 560 280 | 672 560 | 448 672 | 64 64 448 | 1 64 64 ---------------------+-----+----------+----------+------------+------------+------------+------------+----------------+----------- . . . . . . . x . | 2 | 2016 * | 12 1 | 60 12 | 160 60 | 240 160 | 192 240 | 32 32 192 | 1 32 32 . . . . . . . . x | 2 | * 144 ♦ 0 14 | 0 84 | 0 280 | 0 560 | 0 672 | 0 0 448 | 0 64 64 ---------------------+-----+----------+----------+------------+------------+------------+------------+----------------+----------- . . . . . . o3x . | 3 | 3 0 | 8064 * | 10 1 | 40 10 | 80 40 | 80 80 | 16 16 80 | 1 16 16 . . . . . . . x3x | 6 | 3 3 | * 672 ♦ 0 12 | 0 60 | 0 160 | 0 240 | 0 0 192 | 0 32 32 ---------------------+-----+----------+----------+------------+------------+------------+------------+----------------+----------- . . . . . o3o3x . ♦ 4 | 6 0 | 4 0 | 20160 * | 8 1 | 24 8 | 32 24 | 8 8 32 | 1 8 8 . . . . . . o3x3x ♦ 12 | 12 6 | 4 4 | * 2016 ♦ 0 10 | 0 40 | 0 80 | 0 0 80 | 0 16 16 ---------------------+-----+----------+----------+------------+------------+------------+------------+----------------+----------- . . . . o3o3o3x . ♦ 5 | 10 0 | 10 0 | 5 0 | 32256 * | 6 1 | 12 6 | 4 4 12 | 1 4 4 . . . . . o3o3x3x ♦ 20 | 30 10 | 20 10 | 5 5 | * 4032 ♦ 0 8 | 0 24 | 0 0 32 | 0 8 8 ---------------------+-----+----------+----------+------------+------------+------------+------------+----------------+----------- . . . o3o3o3o3x . ♦ 6 | 15 0 | 20 0 | 15 0 | 6 0 | 32256 * | 4 1 | 2 2 4 | 1 2 2 . . . . o3o3o3x3x ♦ 30 | 60 15 | 60 20 | 30 15 | 6 6 | * 5376 ♦ 0 6 | 0 0 12 | 0 4 4 ---------------------+-----+----------+----------+------------+------------+------------+------------+----------------+----------- . o . *b3o3o3o3o3x . ♦ 7 | 21 0 | 35 0 | 35 0 | 21 0 | 7 0 | 18432 * | 1 1 1 | 1 1 1 . . . o3o3o3o3x3x ♦ 42 | 105 21 | 140 35 | 105 35 | 42 21 | 7 7 | * 4608 | 0 0 4 | 0 2 2 ---------------------+-----+----------+----------+------------+------------+------------+------------+----------------+----------- o3o . *b3o3o3o3o3x . ♦ 8 | 28 0 | 56 0 | 70 0 | 56 0 | 28 0 | 8 0 | 2304 * * | 1 1 0 . o3o *b3o3o3o3o3x . ♦ 8 | 28 0 | 56 0 | 70 0 | 56 0 | 28 0 | 8 0 | * 2304 * | 1 0 1 . o . *b3o3o3o3o3x3x ♦ 56 | 168 28 | 280 56 | 280 70 | 168 56 | 56 28 | 8 8 | * * 2304 | 0 1 1 ---------------------+-----+----------+----------+------------+------------+------------+------------+----------------+----------- o3o3o *b3o3o3o3o3x . ♦ 16 | 112 0 | 448 0 | 1120 0 | 1792 0 | 1792 0 | 1024 0 | 128 128 0 | 18 * * o3o . *b3o3o3o3o3x3x ♦ 72 | 252 36 | 504 84 | 630 126 | 504 126 | 252 84 | 72 36 | 9 0 9 | * 256 * . o3o *b3o3o3o3o3x3x ♦ 72 | 252 36 | 504 84 | 630 126 | 504 126 | 252 84 | 72 36 | 0 9 9 | * * 256
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