Acronym | poc prico (alt.: phex spic) |
Name |
partially octa-contracted prismatorhombated icositetrachoron, partially hexadeca-expanded small prismated (dis)icositetrachoron |
Circumradius | ... |
Dihedral angles |
|
Face vector | 384, 1056, 912, 240 |
Confer |
This CRF polychoron can be obtained from prico by partial Stott contracting only 8 toes.
Conversely it can be obtained by a similar partial Stott expansion from owau prit (which in turn is derived by such a expansion from spic).
Incidence matrix according to Dynkin symbol
qo3xx3xx4ox&#zx → height = 0 (tegum sum of (q,x,x)-tico and grit) o.3o.3o.4o. | 192 * | 1 2 2 0 0 0 | 2 1 2 2 1 0 0 0 | 1 1 2 1 0 0 .o3.o3.o4.o | * 192 | 0 0 2 2 1 1 | 0 0 2 2 2 1 2 2 | 0 1 2 2 1 1 ----------------+---------+----------------------+----------------------------+----------------- .. x. .. .. | 2 0 | 96 * * * * * | 2 0 2 0 0 0 0 0 | 1 0 2 1 0 0 .. .. x. .. | 2 0 | * 192 * * * * | 1 1 0 1 0 0 0 0 | 1 1 1 0 0 0 oo3oo3oo4oo&#x | 1 1 | * * 384 * * * | 0 0 1 1 1 0 0 0 | 0 1 1 1 0 0 .. .x .. .. | 0 2 | * * * 192 * * | 0 0 1 0 0 1 1 1 | 0 0 1 1 1 1 .. .. .x .. | 0 2 | * * * * 96 * | 0 0 0 2 0 0 2 0 | 0 1 2 0 1 0 .. .. .. .x | 0 2 | * * * * * 96 | 0 0 0 0 2 0 0 2 | 0 1 0 2 0 1 ----------------+---------+----------------------+----------------------------+----------------- .. x.3x. .. | 6 0 | 3 3 0 0 0 0 | 64 * * * * * * * | 1 0 1 0 0 0 .. .. x.4o. | 4 0 | 0 4 0 0 0 0 | * 48 * * * * * * | 1 1 0 0 0 0 .. xx .. ..&#x | 2 2 | 1 0 2 1 0 0 | * * 192 * * * * * | 0 0 1 1 0 0 .. .. xx ..&#x | 2 2 | 0 1 2 0 1 0 | * * * 192 * * * * | 0 1 1 0 0 0 .. .. .. ox&#x | 1 2 | 0 0 2 0 0 1 | * * * * 192 * * * | 0 1 0 1 0 0 .o3.x .. .. | 0 3 | 0 0 0 3 0 0 | * * * * * 64 * * | 0 0 0 0 1 1 .. .x3.x .. | 0 6 | 0 0 0 3 3 0 | * * * * * * 64 * | 0 0 1 0 1 0 .. .x .. .x | 0 4 | 0 0 0 2 0 2 | * * * * * * * 96 | 0 0 0 1 0 1 ----------------+---------+----------------------+----------------------------+----------------- .. x.3x.4o. ♦ 24 0 | 12 24 0 0 0 0 | 8 6 0 0 0 0 0 0 | 8 * * * * * qo .. xx4ox&#zx ♦ 8 8 | 0 8 16 0 4 4 | 0 2 0 8 8 0 0 0 | * 24 * * * * .. xx3xx ..&#x ♦ 6 6 | 3 3 6 3 3 0 | 1 0 3 3 0 0 1 0 | * * 64 * * * .. xx .. ox&#x ♦ 2 4 | 1 0 4 2 0 2 | 0 0 2 0 2 0 0 1 | * * * 96 * * .o3.x3.x .. ♦ 0 12 | 0 0 0 12 6 0 | 0 0 0 0 0 4 4 0 | * * * * 16 * .o3.x .. .x ♦ 0 6 | 0 0 0 6 0 3 | 0 0 0 0 0 2 0 3 | * * * * * 32
wxx3xxx3xwx *b3ooq&#zx → height = 0 (tegum sum of 2 mutually gyrated (w,x,x)-tahs and (x,x,x,q)-tico) o..3o..3o.. *b3o.. | 96 * * | 2 1 1 2 0 0 0 0 0 0 | 2 1 2 2 2 2 0 0 0 0 0 0 0 | 1 1 2 1 2 0 0 0 .o.3.o.3.o. *b3.o. | * 96 * | 0 0 1 0 1 2 2 0 0 0 | 0 0 2 0 0 2 2 1 2 2 0 0 0 | 0 1 0 1 2 1 2 0 ..o3..o3..o *b3..o | * * 192 | 0 0 0 1 0 0 1 1 1 1 | 0 0 0 1 1 1 0 0 1 1 1 1 1 | 0 0 1 1 1 0 1 1 -----------------------+-----------+---------------------------------+-----------------------------------------+--------------------- ... x.. ... ... | 2 0 0 | 96 * * * * * * * * * | 1 1 1 1 0 0 0 0 0 0 0 0 0 | 1 1 1 0 1 0 0 0 ... ... x.. ... | 2 0 0 | * 48 * * * * * * * * | 2 0 0 0 2 0 0 0 0 0 0 0 0 | 1 0 2 1 0 0 0 0 oo.3oo.3oo. *b3oo.&#x | 1 1 0 | * * 96 * * * * * * * | 0 0 2 0 0 2 0 0 0 0 0 0 0 | 0 1 0 1 2 0 0 0 o.o3o.o3o.o *b3o.o&#x | 1 0 1 | * * * 192 * * * * * * | 0 0 0 1 1 1 0 0 0 0 0 0 0 | 0 0 1 1 1 0 0 0 .x. ... ... ... | 0 2 0 | * * * * 48 * * * * * | 0 0 0 0 0 0 2 0 2 0 0 0 0 | 0 0 0 1 0 1 2 0 ... .x. ... ... | 0 2 0 | * * * * * 96 * * * * | 0 0 1 0 0 0 1 1 0 1 0 0 0 | 0 1 0 0 1 1 1 0 .oo3.oo3.oo *b3.oo&#x | 0 1 1 | * * * * * * 192 * * * | 0 0 0 0 0 1 0 0 1 1 0 0 0 | 0 0 0 1 1 0 1 0 ..x ... ... ... | 0 0 2 | * * * * * * * 96 * * | 0 0 0 0 0 0 0 0 1 0 1 1 0 | 0 0 0 1 0 0 1 1 ... ..x ... ... | 0 0 2 | * * * * * * * * 96 * | 0 0 0 1 0 0 0 0 0 1 1 0 1 | 0 0 1 0 1 0 1 1 ... ... ..x ... | 0 0 2 | * * * * * * * * * 96 | 0 0 0 0 1 0 0 0 0 0 0 1 1 | 0 0 1 1 0 0 0 1 -----------------------+-----------+---------------------------------+-----------------------------------------+--------------------- ... x..3x.. ... | 6 0 0 | 3 3 0 0 0 0 0 0 0 0 | 32 * * * * * * * * * * * * | 1 0 1 0 0 0 0 0 ... x.. ... *b3o.. | 3 0 0 | 3 0 0 0 0 0 0 0 0 0 | * 32 * * * * * * * * * * * | 1 1 0 0 0 0 0 0 ... xx. ... ...&#x | 2 2 0 | 1 0 2 0 0 1 0 0 0 0 | * * 96 * * * * * * * * * * | 0 1 0 0 1 0 0 0 ... x.x ... ...&#x | 2 0 2 | 1 0 0 2 0 0 0 0 1 0 | * * * 96 * * * * * * * * * | 0 0 1 0 1 0 0 0 ... ... x.x ...&#x | 2 0 2 | 0 1 0 2 0 0 0 0 0 1 | * * * * 96 * * * * * * * * | 0 0 1 1 0 0 0 0 ooo3ooo3ooo *b3ooo&#x | 1 1 1 | 0 0 1 1 0 0 1 0 0 0 | * * * * * 192 * * * * * * * | 0 0 0 1 1 0 0 0 .x.3.x. ... ... | 0 6 0 | 0 0 0 0 3 3 0 0 0 0 | * * * * * * 32 * * * * * * | 0 0 0 0 0 1 1 0 ... .x. ... *b3.o. | 0 3 0 | 0 0 0 0 0 3 0 0 0 0 | * * * * * * * 32 * * * * * | 0 1 0 0 0 1 0 0 .xx ... ... ...&#x | 0 2 2 | 0 0 0 0 1 0 2 1 0 0 | * * * * * * * * 96 * * * * | 0 0 0 1 0 0 1 0 ... .xx ... ...&#x | 0 2 2 | 0 0 0 0 0 1 2 0 1 0 | * * * * * * * * * 96 * * * | 0 0 0 0 1 0 1 0 ..x3..x ... ... | 0 0 6 | 0 0 0 0 0 0 0 3 3 0 | * * * * * * * * * * 32 * * | 0 0 0 0 0 0 1 1 ..x ... ..x ... | 0 0 4 | 0 0 0 0 0 0 0 2 0 2 | * * * * * * * * * * * 48 * | 0 0 0 1 0 0 0 1 ... ..x3..x ... | 0 0 6 | 0 0 0 0 0 0 0 0 3 3 | * * * * * * * * * * * * 32 | 0 0 1 0 0 0 0 1 -----------------------+-----------+---------------------------------+-----------------------------------------+--------------------- ... x..3x.. *b3o.. ♦ 12 0 0 | 12 6 0 0 0 0 0 0 0 0 | 4 4 0 0 0 0 0 0 0 0 0 0 0 | 8 * * * * * * * ... xx. ... *b3oo.&#x ♦ 3 3 0 | 3 0 3 0 0 3 0 0 0 0 | 0 1 3 0 0 0 0 1 0 0 0 0 0 | * 32 * * * * * * ... x.x3x.x ...&#x ♦ 6 0 6 | 3 3 0 6 0 0 0 0 3 3 | 1 0 0 3 3 0 0 0 0 0 0 0 1 | * * 32 * * * * * wxx ... xwx ooq&#zx ♦ 4 4 8 | 0 2 4 8 2 0 8 4 0 4 | 0 0 0 0 4 8 0 0 4 0 0 2 0 | * * * 24 * * * * ... xxx ... ...&#x ♦ 2 2 2 | 1 0 2 2 0 1 2 0 1 0 | 0 0 1 1 0 2 0 0 0 1 0 0 0 | * * * * 96 * * * .x.3.x. ... *b3.o. ♦ 0 12 0 | 0 0 0 0 6 12 0 0 0 0 | 0 0 0 0 0 0 4 4 0 0 0 0 0 | * * * * * 8 * * .xx3.xx ... ...&#x ♦ 0 6 6 | 0 0 0 0 3 3 6 3 3 0 | 0 0 0 0 0 0 1 0 3 3 1 0 0 | * * * * * * 32 * ..x3..x3..x ... ♦ 0 0 24 | 0 0 0 0 0 0 0 12 12 12 | 0 0 0 0 0 0 0 0 0 0 4 6 4 | * * * * * * * 8
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