| Acronym | cyte opau sodip |
| Name | cyclotetra octagon-prism-augmented sodip |
| Circumradius | ... |
|
Lace city in approx. ASCII-art |
x4o x4x x4o
x4x x4x
x4o x4x x4o
|
o4x o4x
o4x q4o q4o o4x
o4x q4o q4o o4x
o4x o4x
| |
| Face vector | 48, 144, 140, 44 |
| Confer |
|
This CRF polychoron can be obtained by augmenting a cycle of 4 ops of sodip with squipufs. Note, that pairs of squacues become corealmic, reconnecting to squobcues.
Incidence matrix according to Dynkin symbol
ox4qo ox4xx&#zx → all heights = 0 (tegum sum of (q,q,x,x)-tes and gyro sodip) o.4o. o.4o. | 16 * | 2 4 0 0 0 | 1 2 2 4 0 0 0 | 1 2 2 0 0 .o4.o .o4.o | * 32 | 0 2 2 1 1 | 0 2 2 2 1 2 2 | 2 2 1 1 1 ----------------+-------+----------------+--------------------+------------ .. .. .. x. | 2 0 | 16 * * * * | 1 0 0 2 0 0 0 | 0 1 2 0 0 oo4oo oo4oo&#x | 1 1 | * 64 * * * | 0 1 1 1 0 0 0 | 1 1 1 0 0 .x .. .. .. | 0 2 | * * 32 * * | 0 1 0 0 1 1 1 | 1 1 0 1 1 .. .. .x .. | 0 2 | * * * 16 * | 0 0 2 0 0 2 0 | 2 0 1 1 0 .. .. .. .x | 0 2 | * * * * 16 | 0 0 0 2 0 0 2 | 0 2 1 0 1 ----------------+-------+----------------+--------------------+------------ .. .. o.4x. | 4 0 | 4 0 0 0 0 | 4 * * * * * * | 0 0 2 0 0 ox .. .. ..&#x | 1 2 | 0 2 1 0 0 | * 32 * * * * * | 1 1 0 0 0 .. .. ox ..&#x | 1 2 | 0 2 0 1 0 | * * 32 * * * * | 1 0 1 0 0 .. .. .. xx&#x | 2 2 | 1 2 0 0 1 | * * * 32 * * * | 0 1 1 0 0 .x4.o .. .. | 0 4 | 0 0 4 0 0 | * * * * 8 * * | 0 0 0 1 1 .x .. .x .. | 0 4 | 0 0 2 2 0 | * * * * * 16 * | 1 0 0 1 0 .x .. .. .x | 0 4 | 0 0 2 0 2 | * * * * * * 16 | 0 1 0 0 1 ----------------+-------+----------------+--------------------+------------ ox .. ox ..&#x ♦ 1 4 | 0 4 2 2 0 | 0 2 2 0 0 1 0 | 16 * * * * ox .. .. xx&#x ♦ 2 4 | 1 4 2 0 2 | 0 2 0 2 0 0 1 | * 16 * * * .. qo ox4xx&#zx ♦ 8 8 | 8 16 0 4 4 | 2 0 8 8 0 0 0 | * * 4 * * .x4.o .x .. ♦ 0 8 | 0 0 8 4 0 | 0 0 0 0 2 4 0 | * * * 4 * .x4.o .. .x ♦ 0 8 | 0 0 8 0 4 | 0 0 0 0 2 0 4 | * * * * 4
(qo)q(qo) (xx)x(xx)4(ox)x(ox)&#xt → both heights 1/sqrt(2) = 0.707107 (squobcu || pseudo (q,x,x)-op || squobcu) (o.).(..) (o.).(..)4(o.).(..) & | 16 * * | 2 2 2 0 0 0 0 0 | 1 2 1 2 1 2 0 0 0 | 1 2 1 1 0 0 (.o).(..) (.o).(..)4(.o).(..) & | * 16 * | 0 2 0 1 1 2 0 0 | 0 2 2 0 0 2 2 2 1 | 1 2 2 0 1 1 (..)o(..) (..)o(..)4(..)o(..) | * * 16 | 0 0 2 0 0 2 1 1 | 0 0 0 2 2 2 2 2 1 | 0 2 2 1 1 1 ------------------------------------+----------+---------------------+--------------------------+-------------- (..).(..) (x.).(..) (..).(..) & | 2 0 0 | 16 * * * * * * * | 1 1 0 1 0 0 0 0 0 | 1 1 0 1 0 0 (oo).(..) (oo).(..)4(oo).(..)&#x & | 1 1 0 | * 32 * * * * * * | 0 1 1 0 0 1 0 0 0 | 1 1 1 0 0 0 (o.)o(..) (o.)o(..)4(o.)o(..)&#x & | 1 0 1 | * * 32 * * * * * | 0 0 0 1 1 1 0 0 0 | 0 1 1 1 0 0 (..).(..) (.x).(..) (..).(..) & | 0 2 0 | * * * 8 * * * * | 0 2 0 0 0 0 2 0 0 | 1 2 0 0 1 0 (..).(..) (..).(..) (.x).(..) & | 0 2 0 | * * * * 8 * * * | 0 0 2 0 0 0 0 2 0 | 1 0 2 0 0 1 (.o)o(..) (.o)o(..)4(.o)o(..)&#x & | 0 1 1 | * * * * * 32 * * | 0 0 0 0 0 1 1 1 1 | 0 1 1 0 1 1 (..).(..) (..)x(..) (..).(..) | 0 0 2 | * * * * * * 8 * | 0 0 0 2 0 0 2 0 0 | 0 2 0 1 1 0 (..).(..) (..).(..) (..)x(..) | 0 0 2 | * * * * * * * 8 | 0 0 0 0 2 0 0 2 0 | 0 0 2 1 0 1 ------------------------------------+----------+---------------------+--------------------------+-------------- (..).(..) (x.).(..)4(o.).(..) & | 4 0 0 | 4 0 0 0 0 0 0 0 | 4 * * * * * * * * | 1 0 0 1 0 0 (..).(..) (xx).(..) (..).(..)&#x & | 2 2 0 | 1 2 0 1 0 0 0 0 | * 16 * * * * * * * | 1 1 0 0 0 0 (..).(..) (..).(..) (ox).(..)&#x & | 1 2 0 | 0 2 0 0 1 0 0 0 | * * 16 * * * * * * | 1 0 1 0 0 0 (..).(..) (x.)x(..) (..).(..)&#x & | 2 0 2 | 1 0 2 0 0 0 1 0 | * * * 16 * * * * * | 0 1 0 1 0 0 (..).(..) (..).(..) (o.)x(..)&#x & | 1 0 2 | 0 0 2 0 0 0 0 1 | * * * * 16 * * * * | 0 0 1 1 0 0 (oo)o(..) (oo)o(..)4(oo)o(..)&#x & | 1 1 1 | 0 1 1 0 0 1 0 0 | * * * * * 32 * * * | 0 1 1 0 0 0 (..).(..) (.x)x(..) (..).(..)&#x & | 0 2 2 | 0 0 0 1 0 2 1 0 | * * * * * * 16 * * | 0 1 0 0 1 0 (..).(..) (..).(..) (.x)x(..)&#x & | 0 2 2 | 0 0 0 0 1 2 0 1 | * * * * * * * 16 * | 0 0 1 0 0 1 (.o)q(.o) (..).(..) (..).(..)&#xt | 0 2 2 | 0 0 0 0 0 4 0 0 | * * * * * * * * 8 | 0 0 0 0 1 1 ------------------------------------+----------+---------------------+--------------------------+-------------- (qo).(..) (xx).(..)4(ox).(..)&#x & ♦ 8 8 0 | 8 16 0 4 4 0 0 0 | 2 8 8 0 0 0 0 0 0 | 2 * * * * * (..).(..) (xx)x(..) (..).(..)&#x & ♦ 2 2 2 | 1 2 2 1 0 2 1 0 | 0 1 0 1 0 2 1 0 0 | * 16 * * * * (..).(..) (..).(..) (ox)x(..)&#x & ♦ 1 2 2 | 0 2 2 0 1 2 0 1 | 0 0 1 0 1 2 0 1 0 | * * 16 * * * (..).(..) (x.)x(x.)4(o.)x(o.)&#xt ♦ 8 0 8 | 8 0 16 0 0 0 4 4 | 2 0 0 8 8 0 0 0 0 | * * * 2 * * (.o)q(.o) (.x)x(.x) (..).(..)&#xt ♦ 0 4 4 | 0 0 0 2 0 8 2 0 | 0 0 0 0 0 0 4 0 2 | * * * * 4 * (.o)q(.o) (..).(..) (.x)x(.x)&#xt ♦ 0 4 4 | 0 0 0 0 2 8 0 2 | 0 0 0 0 0 0 0 4 2 | * * * * * 4
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