| Acronym | spuho |
| Name | small petated hemiocteract |
| Circumradius | sqrt(2) = 1.414214 |
|
Inradius wrt. oca | 5/4 = 1.25 |
|
Inradius wrt. tetpen | 7/sqrt(40) = 1.106797 |
|
Inradius wrt. hesa | 3/sqrt(8) = 1.060660 |
|
Inradius wrt. tethex | 3/sqrt(8) = 1.060660 |
|
Inradius wrt. trahin | 5/sqrt(24) = 1.020621 |
|
Inradius wrt. haxip | 1 |
|
Inradius wrt. suph | 1 |
|
Lace city in approx. ASCII-art |
H h -- x3o3o *b3o3o3o3o (hesa)
H S s h -- x3o3o *b3o3o3o3x (suthesa)
h s S H -- o3o3x *b3o3o3o3x (alt. suthesa)
h H -- o3o3x *b3o3o3o3o (alt. hesa)
where:
H = x3o3o *b3o3o3o (hax)
h = o3o3x *b3o3o3o (alt. hax)
S = x3o3o *b3o3o3x (sochax)
s = o3o3x *b3o3o3x (alt. sochax)
|
| Coordinates | (3/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8)) & all permutations, all even changes of sign |
| Face vector | 1024, 14336, 69888, 161280, 203392, 140672, 45728, 3744 |
| Confer |
|
Incidence matrix according to Dynkin symbol
x3o3o *b3o3o3o3o3x o3o3o *b3o3o3o3o3o | 1024 | 21 7 | 105 105 21 | 35 140 420 210 35 | 35 140 105 420 630 210 35 | 21 105 210 42 210 420 420 105 21 | 7 42 105 140 7 42 105 140 105 21 7 | 1 7 21 35 35 7 1 -------------------+------+------------+------------------+-----------------------------+-----------------------------------------+---------------------------------------------------+-------------------------------------------------------+----------------------------- x . . . . . . . | 2 | 10752 * | 10 5 0 | 5 20 40 10 0 | 10 20 20 60 60 10 0 | 10 30 30 10 40 60 40 5 0 | 30 20 30 20 2 10 20 20 10 1 0 | 1 5 10 10 5 2 0 . . . . . . . x | 2 | * 3584 | 0 15 6 | 0 0 60 60 15 | 0 20 0 60 180 90 20 | 0 15 60 0 30 120 180 60 15 | 0 6 30 60 0 6 30 60 60 15 6 | 0 1 6 15 20 6 1 -------------------+------+------------+------------------+-----------------------------+-----------------------------------------+---------------------------------------------------+-------------------------------------------------------+----------------------------- x3o . . . . . . | 3 | 3 0 | 35840 * * | 1 4 4 0 0 | 4 4 6 12 6 0 0 | 6 12 6 4 12 12 4 0 0 | 4 12 12 4 1 4 6 4 1 0 0 | 1 4 6 4 1 1 0 x . . . . . . x | 4 | 2 2 | * 26880 * | 0 0 8 4 0 | 0 4 0 12 24 6 0 | 0 6 12 0 8 24 24 4 0 | 0 4 12 12 0 2 8 12 8 1 0 | 0 1 4 6 4 2 0 . . . . . . o3x | 3 | 0 3 | * * 7168 | 0 0 0 10 5 | 0 0 0 0 30 30 10 | 0 0 10 0 0 20 60 30 10 | 0 0 5 20 0 0 5 20 30 10 5 | 0 0 1 5 10 5 1 -------------------+------+------------+------------------+-----------------------------+-----------------------------------------+---------------------------------------------------+-------------------------------------------------------+----------------------------- x3o3o . . . . . ♦ 4 | 6 0 | 4 0 0 | 8960 * * * * | 4 4 0 0 0 0 0 | 6 12 6 0 0 0 0 0 0 | 4 12 12 4 0 0 0 0 0 0 0 | 1 4 6 4 1 0 0 x3o . *b3o . . . . ♦ 4 | 6 0 | 4 0 0 | * 35840 * * * | 1 0 3 3 0 0 0 | 3 3 0 3 6 3 0 0 0 | 3 6 3 0 1 3 3 1 0 0 0 | 1 3 3 1 0 1 0 x3o . . . . . x ♦ 6 | 6 3 | 2 3 0 | * * 71680 * * | 0 1 0 3 3 0 0 | 0 3 3 0 3 6 3 0 0 | 0 3 6 3 0 1 3 3 1 0 0 | 0 1 3 3 1 1 0 x . . . . . o3x ♦ 6 | 3 6 | 0 3 2 | * * * 35840 * | 0 0 0 0 6 3 0 | 0 0 3 0 0 6 12 3 0 | 0 0 3 6 0 0 2 6 6 1 0 | 0 0 1 3 3 2 0 . . . . . o3o3x ♦ 4 | 0 6 | 0 0 4 | * * * * 8960 | 0 0 0 0 0 6 4 | 0 0 0 0 0 0 12 12 6 | 0 0 0 4 0 0 0 4 12 6 4 | 0 0 0 1 4 4 1 -------------------+------+------------+------------------+-----------------------------+-----------------------------------------+---------------------------------------------------+-------------------------------------------------------+----------------------------- x3o3o *b3o . . . . ♦ 8 | 24 0 | 32 0 0 | 8 8 0 0 0 | 4480 * * * * * * | 3 3 0 0 0 0 0 0 0 | 3 6 3 0 0 0 0 0 0 0 0 | 1 3 3 1 0 0 0 x3o3o . . . . x ♦ 8 | 12 4 | 8 6 0 | 2 0 4 0 0 | * 17920 * * * * * | 0 3 3 0 0 0 0 0 0 | 0 3 6 3 0 0 0 0 0 0 0 | 0 1 3 3 1 0 0 x3o . *b3o3o . . . ♦ 5 | 10 0 | 10 0 0 | 0 5 0 0 0 | * * 21504 * * * * | 1 0 0 2 2 0 0 0 0 | 2 2 0 0 1 2 1 0 0 0 0 | 1 2 1 0 0 1 0 x3o . *b3o . . . x ♦ 8 | 12 4 | 8 6 0 | 0 2 4 0 0 | * * * 53760 * * * | 0 1 0 0 2 2 0 0 0 | 0 2 2 0 0 1 2 1 0 0 0 | 0 1 2 1 0 1 0 x3o . . . . o3x ♦ 9 | 9 9 | 3 9 3 | 0 0 3 3 0 | * * * * 71680 * * | 0 0 1 0 0 2 2 0 0 | 0 0 2 2 0 0 1 2 1 0 0 | 0 0 1 2 1 1 0 x . . . . o3o3x ♦ 8 | 4 12 | 0 6 8 | 0 0 0 4 2 | * * * * * 26880 * | 0 0 0 0 0 0 4 2 0 | 0 0 0 2 0 0 0 2 4 1 0 | 0 0 0 1 2 2 0 . . . . o3o3o3x ♦ 5 | 0 10 | 0 0 10 | 0 0 0 0 5 | * * * * * * 7168 | 0 0 0 0 0 0 0 3 3 | 0 0 0 0 0 0 0 0 3 3 3 | 0 0 0 0 1 3 1 -------------------+------+------------+------------------+-----------------------------+-----------------------------------------+---------------------------------------------------+-------------------------------------------------------+----------------------------- x3o3o *b3o3o . . . ♦ 16 | 80 0 | 160 0 0 | 40 80 0 0 0 | 10 0 16 0 0 0 0 | 1344 * * * * * * * * | 2 2 0 0 0 0 0 0 0 0 0 | 1 2 1 0 0 0 0 x3o3o *b3o . . . x ♦ 16 | 48 8 | 64 24 0 | 16 16 32 0 0 | 2 8 0 8 0 0 0 | * 6720 * * * * * * * | 0 2 2 0 0 0 0 0 0 0 0 | 0 1 2 1 0 0 0 x3o3o . . . o3x ♦ 12 | 18 12 | 12 18 4 | 3 0 12 6 0 | 0 3 0 0 4 0 0 | * * 17920 * * * * * * | 0 0 2 2 0 0 0 0 0 0 0 | 0 0 1 2 1 0 0 x3o . *b3o3o3o . . ♦ 6 | 15 0 | 20 0 0 | 0 15 0 0 0 | 0 0 6 0 0 0 0 | * * * 7168 * * * * * | 1 0 0 0 1 1 0 0 0 0 0 | 1 1 0 0 0 1 0 x3o . *b3o3o . . x ♦ 10 | 20 5 | 20 10 0 | 0 10 10 0 0 | 0 0 2 5 0 0 0 | * * * * 21504 * * * * | 0 1 0 0 0 1 1 0 0 0 0 | 0 1 1 0 0 1 0 x3o . *b3o . . o3x ♦ 12 | 18 12 | 12 18 4 | 0 3 12 6 0 | 0 0 0 3 4 0 0 | * * * * * 35840 * * * | 0 0 1 0 0 0 1 1 0 0 0 | 0 0 1 1 0 1 0 x3o . . . o3o3x ♦ 12 | 12 18 | 4 18 12 | 0 0 6 12 3 | 0 0 0 0 4 3 0 | * * * * * * 35840 * * | 0 0 0 1 0 0 0 1 1 0 0 | 0 0 0 1 1 1 0 x . . . o3o3o3x ♦ 10 | 5 20 | 0 10 20 | 0 0 0 10 10 | 0 0 0 0 0 5 2 | * * * * * * * 10752 * | 0 0 0 0 0 0 0 0 2 1 0 | 0 0 0 0 1 2 0 . . . o3o3o3o3x ♦ 6 | 0 15 | 0 0 20 | 0 0 0 0 15 | 0 0 0 0 0 0 6 | * * * * * * * * 3584 | 0 0 0 0 0 0 0 0 0 1 2 | 0 0 0 0 0 2 1 -------------------+------+------------+------------------+-----------------------------+-----------------------------------------+---------------------------------------------------+-------------------------------------------------------+----------------------------- x3o3o *b3o3o3o . . ♦ 32 | 240 0 | 640 0 0 | 160 480 0 0 0 | 60 0 192 0 0 0 0 | 12 0 0 32 0 0 0 0 0 | 224 * * * * * * * * * * | 1 1 0 0 0 0 0 x3o3o *b3o3o . . x ♦ 32 | 160 16 | 320 80 0 | 80 160 160 0 0 | 20 40 32 80 0 0 0 | 2 10 0 0 16 0 0 0 0 | * 1344 * * * * * * * * * | 0 1 1 0 0 0 0 x3o3o *b3o . . o3x ♦ 24 | 72 24 | 96 72 8 | 24 24 96 24 0 | 3 24 0 24 32 0 0 | 0 3 8 0 0 8 0 0 0 | * * 4480 * * * * * * * * | 0 0 1 1 0 0 0 x3o3o . . o3o3x ♦ 16 | 24 24 | 16 36 16 | 4 0 24 24 4 | 0 6 0 0 16 6 0 | 0 0 4 0 0 0 4 0 0 | * * * 8960 * * * * * * * | 0 0 0 1 1 0 0 x3o . *b3o3o3o3o . ♦ 7 | 21 0 | 35 0 0 | 0 35 0 0 0 | 0 0 21 0 0 0 0 | 0 0 0 7 0 0 0 0 0 | * * * * 1024 * * * * * * | 1 0 0 0 0 1 0 x3o . *b3o3o3o . x ♦ 12 | 30 6 | 40 15 0 | 0 30 20 0 0 | 0 0 12 15 0 0 0 | 0 0 0 2 6 0 0 0 0 | * * * * * 3584 * * * * * | 0 1 0 0 0 1 0 x3o . *b3o3o . o3x ♦ 15 | 30 15 | 30 30 5 | 0 15 30 10 0 | 0 0 3 15 10 0 0 | 0 0 0 0 3 5 0 0 0 | * * * * * * 7168 * * * * | 0 0 1 0 0 1 0 x3o . *b3o . o3o3x ♦ 16 | 24 24 | 16 36 16 | 0 4 24 24 4 | 0 0 0 6 16 6 0 | 0 0 0 0 0 4 4 0 0 | * * * * * * * 8960 * * * | 0 0 0 1 0 1 0 x3o . . o3o3o3x ♦ 15 | 15 30 | 5 30 30 | 0 0 10 30 15 | 0 0 0 0 10 15 3 | 0 0 0 0 0 0 5 3 0 | * * * * * * * * 7168 * * | 0 0 0 0 1 1 0 x . . o3o3o3o3x ♦ 12 | 6 30 | 0 15 40 | 0 0 0 20 30 | 0 0 0 0 0 15 12 | 0 0 0 0 0 0 0 6 2 | * * * * * * * * * 1792 * | 0 0 0 0 0 2 0 . o . *b3o3o3o3o3x ♦ 7 | 0 21 | 0 0 35 | 0 0 0 0 35 | 0 0 0 0 0 0 21 | 0 0 0 0 0 0 0 0 7 | * * * * * * * * * * 1024 | 0 0 0 0 0 1 1 -------------------+------+------------+------------------+-----------------------------+-----------------------------------------+---------------------------------------------------+-------------------------------------------------------+----------------------------- x3o3o *b3o3o3o3o . ♦ 64 | 672 0 | 2240 0 0 | 560 2240 0 0 0 | 280 0 1344 0 0 0 0 | 84 0 0 448 0 0 0 0 0 | 14 0 0 0 64 0 0 0 0 0 0 | 16 * * * * * * x3o3o *b3o3o3o . x ♦ 64 | 480 32 | 1280 240 0 | 320 960 640 0 0 | 120 160 384 480 0 0 0 | 24 60 0 64 192 0 0 0 0 | 2 12 0 0 0 32 0 0 0 0 0 | * 112 * * * * * x3o3o *b3o3o . o3x ♦ 48 | 240 48 | 480 240 16 | 120 240 480 80 0 | 30 120 48 240 160 0 0 | 3 30 40 0 48 80 0 0 0 | 0 3 10 0 0 0 16 0 0 0 0 | * * 448 * * * * x3o3o *b3o . o3o3x ♦ 32 | 96 48 | 128 144 32 | 32 32 192 96 8 | 4 48 0 48 128 24 0 | 0 6 32 0 0 32 32 0 0 | 0 0 4 8 0 0 0 8 0 0 0 | * * * 1120 * * * x3o3o . o3o3o3x ♦ 20 | 30 40 | 20 60 40 | 5 0 40 60 20 | 0 10 0 0 40 30 4 | 0 0 10 0 0 0 20 6 0 | 0 0 0 5 0 0 0 0 4 0 0 | * * * * 1792 * * x3o . *b3o3o3o3o3x ♦ 56 | 168 168 | 280 420 280 | 0 280 560 560 280 | 0 0 168 420 560 420 168 | 0 0 0 56 168 280 280 168 56 | 0 0 0 0 8 28 56 70 56 28 8 | * * * * * 128 * . o3o *b3o3o3o3o3x ♦ 8 | 0 28 | 0 0 56 | 0 0 0 0 70 | 0 0 0 0 0 0 56 | 0 0 0 0 0 0 0 0 28 | 0 0 0 0 0 0 0 0 0 0 8 | * * * * * * 128
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