Acronym | ranq | ||
Name | rectified hecatonicosihexapentacosiheptacontihexaexon | ||
Circumradius | sqrt(2) = 1.414214 | ||
Inradius wrt. jak | 2/sqrt(3) = 1.154701 | ||
Inradius wrt. ril | 3/sqrt(7) = 1.133893 | ||
Inradius wrt. rag | 1 | ||
Lace city in approx. ASCII-art |
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R c r -- o3o3o *b3o3x3o (rag) H q T p h -- x3o3o *b3o3o3x (sochax) r x b X R -- tegum sum of o3x3o *b3o3o3o (brox) and o3o3o *b3o3o3u (u-gee) H q T p h -- x3o3o *b3o3o3x (sochax) R c r -- o3o3o *b3o3x3o (rag) | | | | +-- x3o3o3o3o *c3o (jak) | | | +---- o3x3o3o3o *c3o (rojak) | | +------ x3o3o3o3x *c3o (trim) | +-------- o3o3o3x3o *c3o (alt. rojak) +---------- o3o3o3o3x *c3o (alt. jak) where: h = x3o3o3o3o (hix) H = o3o3o3o3x (dual hix) r = o3x3o3o3o (rix) R = o3o3o3x3o (inv. rix) p = x3o3o3x3o (spix) q = o3x3o3o3x (inv. spix) c = x3o3o3o3x (scad) T = xo3xo3oo3ox3ox&#zu (u-laced tegum sum of 2 tixes) b = o3x3o3x3o (sibrid) | |||
Volume | 1053/70 = 15.042857 | ||
Surface | [812+35 sqrt(3)+57 sqrt(7)]/10 = 102.342960 | ||
Dihedral angles | |||
Confer |
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External links |
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Incidence matrix according to Dynkin symbol
o3o3o3o *c3o3x3o . . . . . . . | 756 ♦ 32 | 160 16 | 320 80 | 160 80 160 | 32 20 80 40 | 2 16 10 -----------------+-----+-------+------------+-------------+-------------------+---------------------+----------- . . . . . x . | 2 | 12096 | 10 1 | 30 10 | 20 10 30 | 5 5 20 10 | 1 5 5 -----------------+-----+-------+------------+-------------+-------------------+---------------------+----------- . . . . o3x . | 3 | 3 | 40320 * | 6 1 | 6 3 6 | 2 3 6 3 | 1 2 3 . . . . . x3o | 3 | 3 | * 4032 ♦ 0 10 | 0 0 30 | 0 0 20 10 | 0 5 5 -----------------+-----+-------+------------+-------------+-------------------+---------------------+----------- . . o . *c3o3x . ♦ 4 | 6 | 4 0 | 60480 * | 2 1 1 | 1 2 2 1 | 1 1 2 . . . . o3x3o ♦ 6 | 12 | 4 4 | * 10080 ♦ 0 0 6 | 0 0 6 3 | 0 2 3 -----------------+-----+-------+------------+-------------+-------------------+---------------------+----------- . o3o . *c3o3x . ♦ 5 | 10 | 10 0 | 5 0 | 24192 * * | 1 1 1 0 | 1 1 1 . . o3o *c3o3x . ♦ 5 | 10 | 10 0 | 5 0 | * 12096 * | 0 2 0 1 | 1 0 2 . . o . *c3o3x3o ♦ 10 | 30 | 20 10 | 5 5 | * * 12096 | 0 0 2 1 | 0 1 2 -----------------+-----+-------+------------+-------------+-------------------+---------------------+----------- o3o3o . *c3o3x . ♦ 6 | 15 | 20 0 | 15 0 | 6 0 0 | 4032 * * * | 1 1 0 . o3o3o *c3o3x . ♦ 10 | 40 | 80 0 | 80 0 | 16 16 0 | * 1512 * * | 1 0 1 . o3o . *c3o3x3o ♦ 15 | 60 | 60 20 | 30 15 | 6 0 6 | * * 4032 * | 0 1 1 . . o3o *c3o3x3o ♦ 15 | 60 | 60 20 | 30 15 | 0 6 6 | * * * 2016 | 0 0 2 -----------------+-----+-------+------------+-------------+-------------------+---------------------+----------- o3o3o3o *c3o3x . ♦ 27 | 216 | 720 0 | 1080 0 | 432 216 0 | 72 27 0 0 | 56 * * o3o3o . *c3o3x3o ♦ 21 | 105 | 140 35 | 105 35 | 42 0 21 | 7 0 7 0 | * 576 * . o3o3o *c3o3x3o ♦ 60 | 480 | 960 160 | 960 240 | 192 192 192 | 0 12 32 32 | * * 126
xoxoo3oxooo3ooooo3oooxo3ooxox *c3ooooo&#xt → all heights = 1/sqrt(3) = 0.577350 (jak || rojak || trim || alt. rojak || alt. jak) ...
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