Acronym | redscox (alt.: trisoo) |
Name |
hecatonenenecontadia-diminished small cellihexeract, partially triexpanded xedrag, tri - (4,8,8)-trioprism |
Circumradius | sqrt[sqrt(2)+5/2] = 1.978437 |
Face vector | 768, 3840, 7616, 7296, 3288, 536 |
Confer | |
External links |
Incidence matrix according to Dynkin symbol
xxo4xxx xox4xxx oxx4xxx&#zx → height = 0 (tegum sum of 3 cyclically interchanged (4,8,8)-trioprisms) o..4o.. o..4o.. o..4o.. & | 768 | 2 2 2 4 | 1 2 4 1 4 1 4 4 6 8 2 | 2 4 2 2 2 6 8 8 6 2 6 4 5 6 | 1 2 1 2 6 4 2 6 4 2 4 10 6 | 2 2 1 4 5 2 ------------------------------+-----+------------------+-----------------------------------------------+---------------------------------------------------------+-------------------------------------------------+-------------------- x.. ... ... ... ... ... & | 2 | 768 * * * | 1 1 2 0 0 0 2 0 2 0 0 | 2 2 1 0 0 5 4 0 2 1 2 0 2 0 | 1 1 0 2 5 2 1 2 0 1 3 4 0 | 2 1 1 3 2 0 skew edges of base octagons ... x.. ... ... ... ... & | 2 | * 768 * * | 0 1 0 1 2 0 0 2 0 2 0 | 0 2 0 2 1 0 2 6 3 0 1 2 0 2 | 0 1 1 0 1 2 1 4 4 1 0 3 4 | 1 2 0 1 3 2 para edges of base octagons ... ... ... ... ... x.. & | 2 | * * 768 * | 0 0 2 0 2 1 0 0 0 2 0 | 1 2 2 1 2 0 2 2 0 0 2 2 0 1 | 1 2 1 0 2 2 0 2 2 2 0 2 2 | 2 2 0 1 2 1 edges of base squares oo.4oo. oo.4oo. oo.4oo.&#x & | 2 | * * * 1536 | 0 0 0 0 0 0 1 1 2 2 1 | 0 0 0 0 0 2 2 2 2 1 2 1 3 3 | 0 0 0 1 2 1 1 2 1 1 3 6 3 | 1 1 1 3 3 1 lacing edges ------------------------------+-----+------------------+-----------------------------------------------+---------------------------------------------------------+-------------------------------------------------+-------------------- x.. ... x... ... ... ... & | 4 | 4 0 0 0 | 192 * * * * * * * * * * | 2 0 0 0 0 4 0 0 0 0 0 0 0 0 | 1 0 0 2 4 0 0 0 0 0 2 0 0 | 2 0 1 2 0 0 x.. ... ... x... ... ... & | 4 | 2 2 0 0 | * 384 * * * * * * * * * | 0 2 0 0 0 0 2 0 2 0 0 0 0 0 | 0 1 0 0 1 2 1 2 0 0 0 2 0 | 1 1 0 1 2 0 x.. ... ... ... ... x.. & | 4 | 2 0 2 0 | * * 768 * * * * * * * * | 1 1 1 0 0 0 1 0 0 0 1 0 0 0 | 1 1 0 0 2 1 0 1 0 1 0 1 0 | 2 1 0 1 1 0 ... x.. ... x... ... ... & | 4 | 0 4 0 0 | * * * 192 * * * * * * * | 0 0 0 2 0 0 0 4 0 0 0 0 0 0 | 0 0 1 0 0 0 0 2 4 0 0 0 2 | 0 2 0 0 1 2 ... x.. ... ... ... x.. & | 4 | 0 2 2 0 | * * * * 768 * * * * * * | 0 1 0 1 1 0 0 1 0 0 0 1 0 0 | 0 1 1 0 0 1 0 1 2 1 0 0 1 | 1 1 0 0 1 1 ... ... ... ... o..4x.. & | 4 | 0 0 4 0 | * * * * * 192 * * * * * | 0 0 2 0 2 0 0 0 0 0 0 0 0 0 | 1 2 1 0 0 0 0 0 0 2 0 0 0 | 2 2 0 0 0 0 xx. ... ... ... ... ...&#x & | 4 | 2 0 0 2 | * * * * * * 768 * * * * | 0 0 0 0 0 2 2 0 0 0 0 0 1 0 | 0 0 0 1 2 1 0 0 0 0 2 2 0 | 1 0 1 2 1 0 ... xx. ... ... ... ...&#x & | 4 | 0 2 0 2 | * * * * * * * 768 * * * | 0 0 0 0 0 0 0 2 2 0 0 0 0 1 | 0 0 0 0 0 0 1 2 1 0 0 2 2 | 0 1 0 1 2 1 ... ... xo. ... ... ...&#x & | 3 | 1 0 0 2 | * * * * * * * * 1536 * * | 0 0 0 0 0 1 0 0 1 1 1 0 1 0 | 0 0 0 1 1 0 1 1 0 1 2 2 0 | 1 1 1 2 1 0 ... ... ... xx. ... ...&#x & | 4 | 0 1 1 2 | * * * * * * * * * 1536 * | 0 0 0 0 0 0 1 1 0 0 1 1 0 1 | 0 0 0 0 1 1 0 1 1 1 0 2 2 | 1 1 0 1 2 1 ooo4ooo ooo4ooo ooo4ooo&#x | 3 | 0 0 0 3 | * * * * * * * * * * 512 | 0 0 0 0 0 0 0 0 0 0 0 0 3 3 | 0 0 0 0 0 0 0 0 0 0 3 6 3 | 0 0 1 3 3 1 ------------------------------+-----+------------------+-----------------------------------------------+---------------------------------------------------------+-------------------------------------------------+-------------------- x.. ... x.. ... ... x.. & ♦ 8 | 8 0 4 0 | 2 0 4 0 0 0 0 0 0 0 0 | 192 * * * * * * * * * * * * * | 1 0 0 0 2 0 0 0 0 0 0 0 0 | 2 0 0 1 0 0 x.. ... ... x.. ... x.. & ♦ 8 | 4 4 4 0 | 0 2 2 0 2 0 0 0 0 0 0 | * 384 * * * * * * * * * * * * | 0 1 0 0 0 1 0 1 0 0 0 0 0 | 1 1 0 0 1 0 x.. ... ... ... o..4x.. & ♦ 8 | 4 0 8 0 | 0 0 4 0 0 2 0 0 0 0 0 | * * 192 * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 1 0 0 0 | 2 1 0 0 0 0 ... x.. ... x.. ... x.. & ♦ 8 | 0 8 4 0 | 0 0 0 2 4 0 0 0 0 0 0 | * * * 192 * * * * * * * * * * | 0 0 1 0 0 0 0 0 2 0 0 0 0 | 0 2 0 0 0 1 ... x.. ... ... o..4x.. & ♦ 8 | 0 4 8 0 | 0 0 0 0 4 2 0 0 0 0 0 | * * * * 192 * * * * * * * * * | 0 1 1 0 0 0 0 0 0 1 0 0 0 | 1 2 0 0 0 0 xx. ... xo. ... ... ...&#x & ♦ 6 | 5 0 0 4 | 1 0 0 0 0 0 2 0 2 0 0 | * * * * * 768 * * * * * * * * | 0 0 0 1 1 0 0 0 0 0 1 0 0 | 1 0 1 1 0 0 xx. ... ... xx. ... ...&#x & ♦ 8 | 4 2 2 4 | 0 1 1 0 0 0 2 0 0 2 0 | * * * * * * 768 * * * * * * * | 0 0 0 0 1 1 0 0 0 0 0 1 0 | 1 0 0 1 1 0 ... xx. ... xx. ... ...&#x & ♦ 8 | 0 6 2 4 | 0 0 0 1 1 0 0 2 0 2 0 | * * * * * * * 768 * * * * * * | 0 0 0 0 0 0 0 1 1 0 0 0 1 | 0 1 0 0 1 1 ... xx. ... ... ox. ...&#x & ♦ 6 | 2 3 0 4 | 0 1 0 0 0 0 0 2 2 0 0 | * * * * * * * * 768 * * * * * | 0 0 0 0 0 0 1 1 0 0 0 1 0 | 0 1 0 1 1 0 ... ... xo. ... ox. ...&#x & ♦ 4 | 2 0 0 4 | 0 0 0 0 0 0 0 0 4 0 0 | * * * * * * * * * 384 * * * * | 0 0 0 1 0 0 1 0 0 1 1 0 0 | 1 1 1 1 0 0 ... ... ... xx. ox. ...&#x & ♦ 6 | 2 1 2 4 | 0 0 1 0 0 0 0 0 2 2 0 | * * * * * * * * * * 768 * * * | 0 0 0 0 1 0 0 1 0 1 0 1 0 | 1 1 0 1 1 0 ... ... ... xx. ... xx.&#x & ♦ 8 | 0 4 4 4 | 0 0 0 0 2 0 0 0 0 4 0 | * * * * * * * * * * * 384 * * | 0 0 0 0 0 1 0 0 1 1 0 0 1 | 1 1 0 0 1 1 xxo ... ... ... ... ...&#x & ♦ 5 | 2 0 0 6 | 0 0 0 0 0 0 1 0 2 0 2 | * * * * * * * * * * * * 768 * | 0 0 0 0 0 0 0 0 0 0 2 2 0 | 0 0 1 2 1 0 ... xxx ... ... ... ...&#x & ♦ 6 | 0 2 1 6 | 0 0 0 0 0 0 0 1 0 2 2 | * * * * * * * * * * * * * 768 | 0 0 0 0 0 0 0 0 0 0 0 2 2 | 0 0 0 1 2 1 ------------------------------+-----+------------------+-----------------------------------------------+---------------------------------------------------------+-------------------------------------------------+-------------------- x.. ... x...... o..4x.. & ♦ 16 | 16 0 16 0 | 4 0 16 0 0 4 0 0 0 0 0 | 4 0 4 0 0 0 0 0 0 0 0 0 0 0 | 48 * * * * * * * * * * * * | 2 0 0 0 0 0 x.. ... ... x.. o..4x.. & ♦ 16 | 8 8 16 0 | 0 4 8 0 8 4 0 0 0 0 0 | 0 4 2 0 2 0 0 0 0 0 0 0 0 0 | * 96 * * * * * * * * * * * | 1 1 0 0 0 0 ... x.. ... x.. o..4x.. & ♦ 16 | 0 16 16 0 | 0 0 0 4 16 4 0 0 0 0 0 | 0 0 0 4 4 0 0 0 0 0 0 0 0 0 | * * 48 * * * * * * * * * * | 0 2 0 0 0 0 xx. ... xo. ... ox. ...&#x & ♦ 8 | 8 0 0 8 | 2 0 0 0 0 0 4 0 8 0 0 | 0 0 0 0 0 4 0 0 0 2 0 0 0 0 | * * * 192 * * * * * * * * * | 1 0 1 0 0 0 xx. ... xo. ... ... xx.&#x & ♦ 12 | 10 2 4 8 | 2 1 4 0 0 0 4 0 4 4 0 | 1 0 0 0 0 2 2 0 0 0 2 0 0 0 | * * * * 384 * * * * * * * * | 1 0 0 1 0 0 xx. ... ... xx. ... xx.&#x & ♦ 16 | 8 8 8 8 | 0 4 4 0 4 0 4 0 0 8 0 | 0 2 0 0 0 0 4 0 0 0 0 2 0 0 | * * * * * 192 * * * * * * * | 1 0 0 0 1 0 ... xx. xo. ... ox. ...&#x & ♦ 8 | 4 4 0 8 | 0 2 0 0 0 0 0 4 8 0 0 | 0 0 0 0 0 0 0 0 4 2 0 0 0 0 | * * * * * * 192 * * * * * * | 0 1 0 1 0 0 ... xx. xo. ... ... xx.&#x & ♦ 12 | 4 8 4 8 | 0 2 2 1 2 0 0 4 4 4 0 | 0 1 0 0 0 0 0 2 2 0 2 0 0 0 | * * * * * * * 384 * * * * * | 0 1 0 0 1 0 ... xx. ... xx. ... xx.&#x & ♦ 16 | 0 16 8 8 | 0 0 0 4 8 0 0 4 0 8 0 | 0 0 0 2 0 0 0 4 0 0 0 2 0 0 | * * * * * * * * 192 * * * * | 0 1 0 0 0 1 ... ... xo.4xx. ox.4xx.&#zx & ♦ 64 | 32 32 64 64 | 0 0 32 0 32 16 0 0 64 64 0 | 0 0 8 0 8 0 0 0 0 16 32 16 0 0 | * * * * * * * * * 24 * * * | 1 1 0 0 0 0 xxo ... xox ... ... ...&#x & ♦ 8 | 6 0 0 12 | 1 0 0 0 0 0 4 0 8 0 4 | 0 0 0 0 0 2 0 0 0 1 0 0 4 0 | * * * * * * * * * * 384 * * | 0 0 1 1 0 0 xxo ... ... xxx ... ...&#x & ♦ 10 | 4 3 2 12 | 0 1 1 0 0 0 2 2 4 4 4 | 0 0 0 0 0 0 1 0 1 0 1 0 2 2 | * * * * * * * * * * * 768 * | 0 0 0 1 1 0 ... xxx ... xxx ... ...&#x & ♦ 12 | 0 8 4 12 | 0 0 0 1 2 0 0 4 0 8 4 | 0 0 0 0 0 0 0 2 0 0 0 1 0 4 | * * * * * * * * * * * * 384 | 0 0 0 0 1 1 ------------------------------+-----+------------------+-----------------------------------------------+---------------------------------------------------------+-------------------------------------------------+-------------------- xx. ... xo.4xx. ox.4xx.&#zx & ♦ 128 | 128 64 128 128 | 32 32 128 0 64 32 64 0 128 128 0 | 32 32 32 0 16 64 64 0 0 32 64 32 0 0 | 8 8 0 16 32 16 0 0 0 2 0 0 0 | 12 * * * * * ... xx. xo.4xx. ox.4xx.&#zx & ♦ 128 | 64 128 128 128 | 0 32 64 32 64 32 0 64 128 128 0 | 0 32 16 32 32 0 0 64 64 32 64 32 0 0 | 0 8 8 0 0 0 16 32 16 2 0 0 0 | * 12 * * * * xxo ... xox ... oxx ...&#x ♦ 12 | 12 0 0 24 | 3 0 0 0 0 0 12 0 24 0 8 | 0 0 0 0 0 12 0 0 0 6 0 0 12 0 | 0 0 0 3 0 0 0 0 0 0 6 0 0 | * * 64 * * * xxo ... xox ... ... xxx&#x & ♦ 16 | 12 4 4 24 | 2 2 4 0 0 0 8 4 16 8 8 | 1 0 0 0 0 4 4 0 4 2 4 0 8 4 | 0 0 0 0 2 0 1 0 0 0 2 4 0 | * * * 192 * * xxo ... ... xxx ... xxx&#x & ♦ 20 | 8 12 8 24 | 0 4 4 1 4 0 4 8 8 16 8 | 0 2 0 0 0 0 4 4 4 0 4 2 4 8 | 0 0 0 0 0 1 0 2 0 0 0 4 2 | * * * * 192 * ... xxx ... xxx ... xxx&#x ♦ 24 | 0 24 12 24 | 0 0 0 6 12 0 0 12 0 24 8 | 0 0 0 3 0 0 0 12 0 0 0 6 0 12 | 0 0 0 0 0 0 0 0 3 0 0 0 6 | * * * * * 64
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