| Acronym | ren |
| Name |
rectified enneract, rectified octadecayotton, equatorial cross-section of reday-first brade |
| Circumradius | 2 |
|
Inradius wrt. ene | 8/sqrt(18) = 1.885618 |
|
Inradius wrt. recto | 1/sqrt(2) = 0.707107 |
| Coordinates | (1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 0) & all permutations, all changes of sign |
| Volume | 362879 sqrt(2)/22680 = 22.627355 |
| Surface | 60479/210 = 287.995238 |
| Dihedral angles | |
| Face vector | 2304, 18432, 47616, 69888, 68544, 45024, 19104, 4752, 530 |
| Confer |
|
Incidence matrix according to Dynkin symbol
o3o3o3o3o3o3o3x4o . . . . . . . . . | 2304 | 16 | 56 8 | 112 28 | 140 56 | 112 70 | 56 56 | 16 28 | 2 8 ------------------+------+-------+------------+------------+------------+------------+-----------+----------+------- . . . . . . . x . | 2 | 18432 | 7 1 | 21 7 | 35 21 | 35 35 | 21 35 | 7 21 | 1 7 ------------------+------+-------+------------+------------+------------+------------+-----------+----------+------- . . . . . . o3x . | 3 | 3 | 43008 * | 6 1 | 15 6 | 20 15 | 15 20 | 6 15 | 1 6 . . . . . . . x4o | 4 | 4 | * 4608 ♦ 0 7 | 0 21 | 0 35 | 0 35 | 0 21 | 0 7 ------------------+------+-------+------------+------------+------------+------------+-----------+----------+------- . . . . . o3o3x . ♦ 4 | 6 | 4 0 | 64512 * | 5 1 | 10 5 | 10 10 | 5 10 | 1 5 . . . . . . o3x4o ♦ 12 | 24 | 8 6 | * 5376 ♦ 0 6 | 0 15 | 0 20 | 0 15 | 0 6 ------------------+------+-------+------------+------------+------------+------------+-----------+----------+------- . . . . o3o3o3x . ♦ 5 | 10 | 10 0 | 5 0 | 64512 * | 4 1 | 6 4 | 4 6 | 1 4 . . . . . o3o3x4o ♦ 32 | 96 | 64 24 | 16 8 | * 4032 ♦ 0 5 | 0 10 | 0 10 | 0 5 ------------------+------+-------+------------+------------+------------+------------+-----------+----------+------- . . . o3o3o3o3x . ♦ 6 | 15 | 20 0 | 15 0 | 6 0 | 43008 * | 3 1 | 3 3 | 1 3 . . . . o3o3o3x4o ♦ 80 | 320 | 320 80 | 160 40 | 32 10 | * 2016 ♦ 0 4 | 0 6 | 0 4 ------------------+------+-------+------------+------------+------------+------------+-----------+----------+------- . . o3o3o3o3o3x . ♦ 7 | 21 | 35 0 | 35 0 | 21 0 | 7 0 | 18432 * | 2 1 | 1 2 . . . o3o3o3o3x4o ♦ 192 | 960 | 1280 240 | 960 160 | 384 60 | 64 12 | * 672 | 0 3 | 0 3 ------------------+------+-------+------------+------------+------------+------------+-----------+----------+------- . o3o3o3o3o3o3x . ♦ 8 | 28 | 56 0 | 70 0 | 56 0 | 28 0 | 8 0 | 4608 * | 1 1 . . o3o3o3o3o3x4o ♦ 448 | 2688 | 4480 672 | 4480 560 | 2688 280 | 896 84 | 128 14 | * 144 | 0 2 ------------------+------+-------+------------+------------+------------+------------+-----------+----------+------- o3o3o3o3o3o3o3x . ♦ 9 | 36 | 84 0 | 126 0 | 126 0 | 84 0 | 36 0 | 9 0 | 512 * . o3o3o3o3o3o3x4o ♦ 1024 | 7168 | 14336 1792 | 17920 1792 | 14336 1120 | 7168 448 | 2048 112 | 256 16 | * 18
x3o3x *b3o3o3o3o3o3o . . . . . . . . . | 2304 | 8 8 | 28 8 28 | 28 56 56 | 56 70 70 | 70 56 56 | 56 28 28 | 28 8 8 | 8 1 1 ---------------------+------+-----------+------------------+------------------+------------------+------------------+---------------+---------------+----------- x . . . . . . . . | 2 | 9216 * | 7 1 0 | 7 21 0 | 21 35 0 | 35 35 0 | 35 21 0 | 21 7 0 | 7 1 0 . . x . . . . . . | 2 | * 9216 | 0 1 7 | 7 0 21 | 21 0 35 | 35 0 35 | 35 0 21 | 21 0 7 | 7 0 1 ---------------------+------+-----------+------------------+------------------+------------------+------------------+---------------+---------------+----------- x3o . . . . . . . | 3 | 3 0 | 21504 * * | 1 6 0 | 6 15 0 | 15 20 0 | 20 15 0 | 15 6 0 | 6 1 0 x . x . . . . . . | 4 | 2 2 | * 4608 * ♦ 7 0 0 | 21 0 0 | 35 0 0 | 35 0 0 | 21 0 0 | 7 0 0 . o3x . . . . . . | 3 | 0 3 | * * 21504 | 1 0 6 | 6 0 15 | 15 0 20 | 20 0 15 | 15 0 6 | 6 0 1 ---------------------+------+-----------+------------------+------------------+------------------+------------------+---------------+---------------+----------- x3o3x . . . . . . ♦ 12 | 12 12 | 4 6 4 | 5376 * * ♦ 6 0 0 | 15 0 0 | 20 0 0 | 15 0 0 | 6 0 0 x3o . *b3o . . . . . ♦ 4 | 6 0 | 4 0 0 | * 32256 * | 1 5 0 | 5 10 0 | 10 10 0 | 10 5 0 | 5 1 0 . o3x *b3o . . . . . ♦ 4 | 0 6 | 0 0 4 | * * 32256 | 1 0 5 | 5 0 10 | 10 0 10 | 10 0 5 | 5 0 1 ---------------------+------+-----------+------------------+------------------+------------------+------------------+---------------+---------------+----------- x3o3x *b3o . . . . . ♦ 32 | 48 48 | 32 24 32 | 8 8 8 | 4032 * * ♦ 5 0 0 | 10 0 0 | 10 0 0 | 5 0 0 x3o . *b3o3o . . . . ♦ 5 | 10 0 | 10 0 0 | 0 5 0 | * 32256 * | 1 4 0 | 4 6 0 | 6 4 0 | 4 1 0 . o3x *b3o3o . . . . ♦ 5 | 0 10 | 0 0 10 | 0 0 5 | * * 32256 | 1 0 4 | 4 0 6 | 6 0 4 | 4 0 1 ---------------------+------+-----------+------------------+------------------+------------------+------------------+---------------+---------------+----------- x3o3x *b3o3o . . . . ♦ 80 | 160 160 | 160 80 160 | 40 80 80 | 10 16 16 | 2016 * * | 4 0 0 | 6 0 0 ♦ 4 0 0 x3o . *b3o3o3o . . . ♦ 6 | 15 0 | 20 0 0 | 0 15 0 | 0 6 0 | * 21504 * | 1 3 0 | 3 3 0 | 3 1 0 . o3x *b3o3o3o . . . ♦ 6 | 0 15 | 0 0 20 | 0 0 15 | 0 0 6 | * * 21504 | 1 0 3 | 3 0 3 | 3 0 1 ---------------------+------+-----------+------------------+------------------+------------------+------------------+---------------+---------------+----------- x3o3x *b3o3o3o . . . ♦ 192 | 480 480 | 640 240 640 | 160 480 480 | 60 192 192 | 12 32 32 | 672 * * | 3 0 0 | 3 0 0 x3o . *b3o3o3o3o . . ♦ 7 | 21 0 | 35 0 0 | 0 35 0 | 0 21 0 | 0 7 0 | * 9216 * | 1 2 0 | 2 1 0 . o3x *b3o3o3o3o . . ♦ 7 | 0 21 | 0 0 35 | 0 0 35 | 0 0 21 | 0 0 7 | * * 9216 | 1 0 2 | 2 0 1 ---------------------+------+-----------+------------------+------------------+------------------+------------------+---------------+---------------+----------- x3o3x *b3o3o3o3o . . ♦ 448 | 1344 1344 | 2240 672 2240 | 560 2240 2240 | 280 1344 1344 | 84 448 448 | 14 64 64 | 144 * * | 2 0 0 x3o . *b3o3o3o3o3o . ♦ 8 | 28 0 | 56 0 0 | 0 70 0 | 0 56 0 | 0 28 0 | 0 8 0 | * 2304 * | 1 1 0 . o3x *b3o3o3o3o3o . ♦ 8 | 0 28 | 0 0 56 | 0 0 70 | 0 0 56 | 0 0 28 | 0 0 8 | * * 2304 | 1 0 1 ---------------------+------+-----------+------------------+------------------+------------------+------------------+---------------+---------------+----------- x3o3x *b3o3o3o3o3o . ♦ 1024 | 3584 3584 | 7168 1792 7168 | 1792 8960 8960 | 1120 7168 7168 | 448 3584 3584 | 112 1024 1024 | 16 128 128 | 18 * * x3o . *b3o3o3o3o3o3o ♦ 9 | 36 0 | 84 0 0 | 0 126 0 | 0 126 0 | 0 84 0 | 0 36 0 | 0 9 0 | * 256 * . o3x *b3o3o3o3o3o3o ♦ 9 | 0 36 | 0 0 84 | 0 0 126 | 0 0 126 | 0 0 84 | 0 0 36 | 0 0 9 | * * 256
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