Acronym | coatobcu |
Name |
coatoe bicupola, equatorially contracted rectified icositetrachoron |
Lace city in approx. ASCII-art |
o3x x3x x3o x3x u3x x3u x3x o3x x3x x3o |
x4o o4q x4o x4o u4o x4q u4o x4o x4o o4q x4o | |
Dihedral angles | |
Face vector | 48, 132, 114, 30 |
Confer |
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Incidence matrix according to Dynkin symbol
qo ox3xx4oo&#zx → height = 0 (tegum sum of (q,x)-cope and para toe) o. o.3o.4o. | 24 * ♦ 4 2 0 0 | 2 2 1 4 0 0 | 1 2 2 .o .o3.o4.o | * 24 | 0 2 1 2 | 0 0 2 4 2 1 | 0 4 2 ----------------+-------+-------------+-----------------+-------- .. .. x. .. | 2 0 | 48 * * * | 1 1 0 1 0 0 | 1 1 1 oo oo3oo4oo&#x | 1 1 | * 48 * * | 0 0 1 2 0 0 | 0 2 1 .. .x .. .. | 0 2 | * * 12 * | 0 0 2 0 2 0 | 0 4 0 .. .. .x .. | 0 2 | * * * 24 | 0 0 0 2 1 1 | 0 2 2 ----------------+-------+-------------+-----------------+-------- .. o.3x. .. | 3 0 | 3 0 0 0 | 16 * * * * * | 1 1 0 .. .. x.4o. | 4 0 | 4 0 0 0 | * 12 * * * * | 1 0 1 .. ox .. ..&#x | 1 2 | 0 2 1 0 | * * 24 * * * | 0 2 0 .. .. xx ..&#x | 2 2 | 1 2 0 1 | * * * 48 * * | 0 1 1 .. .x3.x .. | 0 6 | 0 0 3 3 | * * * * 8 * | 0 2 0 .. .. .x4.o | 0 4 | 0 0 0 4 | * * * * * 6 | 0 0 2 ----------------+-------+-------------+-----------------+-------- .. o.3x.4o. ♦ 12 0 | 24 0 0 0 | 8 6 0 0 0 0 | 2 * * .. ox3xx ..&#x ♦ 3 6 | 3 6 3 3 | 1 0 3 3 1 0 | * 16 * .. .. xx4oo&#x ♦ 4 4 | 4 4 0 4 | 0 1 0 4 0 1 | * * 12
qo xx3ox3xx&#zx → height = 0 (tegum sum of (q,x)-cope and para toe) o. o.3o.3o. | 24 * ♦ 2 2 2 0 0 0 | 1 2 1 2 1 2 0 0 0 | 1 1 2 1 .o .o3.o3.o | * 24 | 0 0 2 1 1 1 | 0 0 0 2 2 2 1 1 1 | 0 2 2 2 ----------------+-------+-------------------+-----------------------+--------- .. x. .. .. | 2 0 | 24 * * * * * | 1 1 0 1 0 0 0 0 0 | 1 1 1 0 .. .. .. x. | 2 0 | * 24 * * * * | 0 1 1 0 0 1 0 0 0 | 1 0 1 1 oo oo3oo3oo&#x | 1 1 | * * 48 * * * | 0 0 0 1 1 1 0 0 0 | 0 1 1 1 .. .x .. .. | 0 2 | * * * 12 * * | 0 0 0 2 0 0 1 1 0 | 0 2 2 0 .. .. .x .. | 0 2 | * * * * 12 * | 0 0 0 0 2 0 1 0 1 | 0 2 0 2 .. .. .. .x | 0 2 | * * * * * 12 | 0 0 0 0 0 2 0 1 1 | 0 0 2 2 ----------------+-------+-------------------+-----------------------+--------- .. x.3o. .. | 3 0 | 3 0 0 0 0 0 | 8 * * * * * * * * | 1 1 0 0 .. x. .. x. | 4 0 | 2 2 0 0 0 0 | * 12 * * * * * * * | 1 0 1 0 .. .. o.3x. | 3 0 | 0 3 0 0 0 0 | * * 8 * * * * * * | 1 0 0 1 .. xx .. ..&#x | 2 2 | 1 0 2 1 0 0 | * * * 24 * * * * * | 0 1 1 0 .. .. ox ..&#x | 1 2 | 0 0 2 0 1 0 | * * * * 24 * * * * | 0 1 0 1 .. .. .. xx&#x | 2 2 | 0 1 2 0 0 1 | * * * * * 24 * * * | 0 0 1 1 .. .x3.x .. | 0 6 | 0 0 0 3 3 0 | * * * * * * 4 * * | 0 2 0 0 .. .x .. .x | 0 4 | 0 0 0 2 0 2 | * * * * * * * 6 * | 0 0 2 0 .. .. .x3.x | 0 6 | 0 0 0 0 3 3 | * * * * * * * * 4 | 0 0 0 2 ----------------+-------+-------------------+-----------------------+--------- .. x.3o.3x. ♦ 12 0 | 12 12 0 0 0 0 | 4 6 4 0 0 0 0 0 0 | 2 * * * .. xx3ox ..&#x ♦ 3 6 | 3 0 6 3 3 0 | 1 0 0 3 3 0 1 0 0 | * 8 * * .. xx .. xx&#x ♦ 4 4 | 2 2 4 2 0 2 | 0 1 0 2 0 2 0 1 0 | * * 12 * .. .. ox3xx&#x ♦ 3 6 | 0 3 6 0 3 3 | 0 0 1 0 3 3 0 0 1 | * * * 8
oxo3xxx4ooo&#xt → both heights = 1/sqrt(2) = 0.7071070 (co || pseudo toe || co) o..3o..4o.. & | 24 * ♦ 4 2 0 0 | 2 2 1 4 0 0 | 1 2 2 .o.3.o.4.o. | * 24 | 0 2 1 2 | 0 0 2 4 2 1 | 0 4 2 -----------------+-------+-------------+-----------------+-------- ... x.. ... & | 2 0 | 48 * * * | 1 1 0 1 0 0 | 1 1 1 oo.3oo.4oo.&#x & | 1 1 | * 48 * * | 0 0 1 2 0 0 | 0 2 1 .x. ... ... | 0 2 | * * 12 * | 0 0 2 0 2 0 | 0 4 0 ... .x. ... | 0 2 | * * * 24 | 0 0 0 2 1 1 | 0 2 2 -----------------+-------+-------------+-----------------+-------- o..3x.. ... & | 3 0 | 3 0 0 0 | 16 * * * * * | 1 1 0 ... x..4o.. & | 4 0 | 4 0 0 0 | * 12 * * * * | 1 0 1 ox. ... ...&#x & | 1 2 | 0 2 1 0 | * * 24 * * * | 0 2 0 ... xx. ...&#x & | 2 2 | 1 2 0 1 | * * * 48 * * | 0 1 1 .x.3.x. ... | 0 6 | 0 0 3 3 | * * * * 8 * | 0 2 0 ... .x.4.o. | 0 4 | 0 0 0 4 | * * * * * 6 | 0 0 2 -----------------+-------+-------------+-----------------+-------- o..3x..4o.. & ♦ 12 0 | 24 0 0 0 | 8 6 0 0 0 0 | 2 * * ox.3xx. ...&#x & ♦ 3 6 | 3 6 3 3 | 1 0 3 3 1 0 | * 16 * ... xx.4oo.&#x & ♦ 4 4 | 4 4 0 4 | 0 1 0 4 0 1 | * * 12
xxx3oxo3xxx&#xt → both heights = 1/sqrt(2) = 0.7071070 (co || pseudo toe || co) o..3o..3o.. & | 24 * | 2 2 2 0 0 0 | 1 2 1 2 1 2 0 0 0 | 1 1 2 1 .o.3.o.3.o. | * 24 | 0 0 2 1 1 1 | 0 0 0 2 2 2 1 1 1 | 0 2 2 2 -----------------+-------+-------------------+-----------------------+--------- x.. ... ... & | 2 0 | 24 * * * * * | 1 1 0 1 0 0 0 0 0 | 1 1 1 0 ... ... x.. & | 2 0 | * 24 * * * * | 0 1 1 0 0 1 0 0 0 | 1 0 1 1 oo.3oo.3oo.&#x & | 1 1 | * * 48 * * * | 0 0 0 1 1 1 0 0 0 | 0 1 1 1 .x. ... ... | 0 2 | * * * 12 * * | 0 0 0 2 0 0 1 1 0 | 0 2 2 0 ... .x. ... | 0 2 | * * * * 12 * | 0 0 0 0 2 0 1 0 1 | 0 2 0 2 ... ... .x. | 0 2 | * * * * * 12 | 0 0 0 0 0 2 0 1 1 | 0 0 2 2 -----------------+-------+-------------------+-----------------------+--------- x..3o.. ... & | 3 0 | 3 0 0 0 0 0 | 8 * * * * * * * * | 1 1 0 0 x.. ... x.. & | 4 0 | 2 2 0 0 0 0 | * 12 * * * * * * * | 1 0 1 0 ... o..3x.. & | 3 0 | 0 3 0 0 0 0 | * * 8 * * * * * * | 1 0 0 1 xx. ... ...&#x & | 2 2 | 1 0 2 1 0 0 | * * * 24 * * * * * | 0 1 1 0 ... ox. ...&#x & | 1 2 | 0 0 2 0 1 0 | * * * * 24 * * * * | 0 1 0 1 ... ... xx.&#x & | 2 2 | 0 1 2 0 0 1 | * * * * * 24 * * * | 0 0 1 1 .x.3.x. ... | 0 6 | 0 0 0 3 3 0 | * * * * * * 4 * * | 0 2 0 0 .x. ... .x. | 0 4 | 0 0 0 2 0 2 | * * * * * * * 6 * | 0 0 2 0 ... .x.3.x. | 0 6 | 0 0 0 0 3 3 | * * * * * * * * 4 | 0 0 0 2 -----------------+-------+-------------------+-----------------------+--------- x..3o..3x.. & ♦ 12 0 | 12 12 0 0 0 0 | 4 6 4 0 0 0 0 0 0 | 2 * * * xx.3ox. ...&#x & ♦ 3 6 | 3 0 6 3 3 0 | 1 0 0 3 3 0 1 0 0 | * 8 * * xx. ... xx.&#x & ♦ 4 4 | 2 2 4 2 0 2 | 0 1 0 2 0 2 0 1 0 | * * 12 * ... ox.3xx.&#x & ♦ 3 6 | 0 3 6 0 3 3 | 0 0 1 0 3 3 0 0 1 | * * * 8
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