Acronym | cydispan |
Name | cubically cyclodiminished small-prismated-penteract |
Circumradius | sqrt(2)+1/2 = 1.914214 |
Lace city in approx. ASCII-art |
. s s . s t t s s t t s . s s . where: s = x3o4x (sirco) t = o3x4x (tic) |
Face vector | 288, 1200, 1752, 1020, 182 |
Confer |
This polyteron is obtained from span within its C2 × C3 subsymmetry, then becoming wxx4oxo oxo3oox4xxx&#zx, by removing the first component thereof, i.e. by removing 4 cubes . . o3o4x within cyclical positions w4o . . .; these are represented in the above lace city by slight dots.
Incidence matrix according to Dynkin symbol
xo4xx xo3ox4xx&#zx → height = 0 (tegum sum of osirco and squatic) o.4o. o.3o.4o. | 192 * | 1 1 2 2 2 0 0 0 | 2 2 2 2 1 2 1 2 2 2 1 2 0 0 0 0 | 1 2 1 1 2 1 1 2 1 2 2 1 2 1 2 0 0 0 | 1 1 1 1 2 1 2 0 .o4.o .o3.o4.o | * 96 | 0 0 0 0 4 2 2 1 | 0 0 0 0 0 0 0 2 4 2 4 4 1 4 2 1 | 0 0 0 0 0 0 0 1 2 2 2 4 4 2 2 2 1 2 | 0 0 2 1 1 2 2 1 -------------------+--------+----------------------------+------------------------------------------------------+------------------------------------------------------+-------------------- x. .. .. .. .. | 2 0 | 96 * * * * * * * | 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 | 1 2 1 0 0 0 0 2 1 2 0 0 0 0 0 0 0 0 | 1 0 1 1 2 0 0 0 .. x. .. .. .. | 2 0 | * 96 * * * * * * | 0 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 | 0 0 0 1 2 1 0 0 0 0 2 1 2 0 0 0 0 0 | 0 1 1 0 0 1 2 0 .. .. x. .. .. | 2 0 | * * 192 * * * * * | 1 0 1 0 1 1 0 0 0 1 0 0 0 0 0 0 | 1 1 0 1 1 0 1 1 0 0 1 0 0 1 1 0 0 0 | 1 1 0 1 1 1 1 0 .. .. .. .. x. | 2 0 | * * * 192 * * * * | 0 1 0 1 0 1 1 0 0 0 0 1 0 0 0 0 | 0 1 1 0 1 1 1 0 0 1 0 0 1 0 1 0 0 0 | 1 1 1 0 1 0 1 0 oo4oo oo3oo4oo&#x | 1 1 | * * * * 384 * * * | 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 | 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 | 0 0 1 1 1 1 1 0 .. .x .. .. .. | 0 2 | * * * * * 96 * * | 0 0 0 0 0 0 0 0 2 0 0 0 1 2 1 0 | 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 2 1 1 | 0 0 2 0 0 1 1 1 .. .. .. .x .. | 0 2 | * * * * * * 96 * | 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 1 | 0 0 0 0 0 0 0 0 1 0 0 2 0 2 0 1 0 2 | 0 0 1 1 0 2 0 1 .. .. .. .. .x | 0 2 | * * * * * * * 48 | 0 0 0 0 0 0 0 0 0 0 0 4 0 0 2 0 | 0 0 0 0 0 0 0 0 0 2 0 0 4 0 2 0 1 0 | 0 0 2 0 1 0 2 0 -------------------+--------+----------------------------+------------------------------------------------------+------------------------------------------------------+-------------------- x. .. x. .. .. | 4 0 | 2 0 2 0 0 0 0 0 | 96 * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 1 0 0 1 1 0 0 0 x. .. .. .. x. | 4 0 | 2 0 0 2 0 0 0 0 | * 96 * * * * * * * * * * * * * * | 0 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 1 0 1 0 1 0 0 0 .. x. x. .. .. | 4 0 | 0 2 2 0 0 0 0 0 | * * 96 * * * * * * * * * * * * * | 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 | 0 1 0 0 0 1 1 0 .. x. .. .. x. | 4 0 | 0 2 0 2 0 0 0 0 | * * * 96 * * * * * * * * * * * * | 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 0 | 0 1 1 0 0 0 1 0 .. .. x.3o. .. | 3 0 | 0 0 3 0 0 0 0 0 | * * * * 64 * * * * * * * * * * * | 1 0 0 1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 | 1 1 0 1 0 1 0 0 .. .. x. .. x. | 4 0 | 0 0 2 2 0 0 0 0 | * * * * * 96 * * * * * * * * * * | 0 1 0 0 1 0 1 0 0 0 0 0 0 0 1 0 0 0 | 1 1 0 0 1 0 1 0 .. .. .. o.4x. | 4 0 | 0 0 0 4 0 0 0 0 | * * * * * * 48 * * * * * * * * * | 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 0 0 xo .. .. .. ..&#x | 2 1 | 1 0 0 0 2 0 0 0 | * * * * * * * 192 * * * * * * * * | 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 | 0 0 1 1 1 0 0 0 .. xx .. .. ..&#x | 2 2 | 0 1 0 0 2 1 0 0 | * * * * * * * * 192 * * * * * * * | 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 | 0 0 1 0 0 1 1 0 .. .. xo .. ..&#x | 2 1 | 0 0 1 0 2 0 0 0 | * * * * * * * * * 192 * * * * * * | 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 0 0 0 | 0 0 0 1 1 1 1 0 .. .. .. ox ..&#x | 1 2 | 0 0 0 0 2 0 1 0 | * * * * * * * * * * 192 * * * * * | 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 | 0 0 1 1 0 1 0 0 .. .. .. .. xx&#x | 2 2 | 0 0 0 1 2 0 0 1 | * * * * * * * * * * * 192 * * * * | 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 | 0 0 1 0 1 0 1 0 .o4.x .. .. .. | 0 4 | 0 0 0 0 0 4 0 0 | * * * * * * * * * * * * 24 * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 | 0 0 2 0 0 0 0 1 .. .x .. .x .. | 0 4 | 0 0 0 0 0 2 2 0 | * * * * * * * * * * * * * 96 * * | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 | 0 0 1 0 0 1 0 1 .. .x .. .. .x | 0 4 | 0 0 0 0 0 2 0 2 | * * * * * * * * * * * * * * 48 * | 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 0 | 0 0 2 0 0 0 1 0 .. .. .o3.x .. | 0 3 | 0 0 0 0 0 0 3 0 | * * * * * * * * * * * * * * * 32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 | 0 0 0 1 0 2 0 1 -------------------+--------+----------------------------+------------------------------------------------------+------------------------------------------------------+-------------------- x. .. x.3o. .. ♦ 6 0 | 3 0 6 0 0 0 0 0 | 3 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 | 32 * * * * * * * * * * * * * * * * * | 1 0 0 1 0 0 0 0 x. .. x. .. x. ♦ 8 0 | 4 0 4 4 0 0 0 0 | 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 | * 48 * * * * * * * * * * * * * * * * | 1 0 0 0 1 0 0 0 x. .. .. o.4x. ♦ 8 0 | 4 0 0 8 0 0 0 0 | 0 4 0 0 0 0 2 0 0 0 0 0 0 0 0 0 | * * 24 * * * * * * * * * * * * * * * | 1 0 1 0 0 0 0 0 .. x. x.3o. .. ♦ 6 0 | 0 3 6 0 0 0 0 0 | 0 0 3 0 2 0 0 0 0 0 0 0 0 0 0 0 | * * * 32 * * * * * * * * * * * * * * | 0 1 0 0 0 1 0 0 .. x. x. .. x. ♦ 8 0 | 0 4 4 4 0 0 0 0 | 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 | * * * * 48 * * * * * * * * * * * * * | 0 1 0 0 0 0 1 0 .. x. .. o.4x. ♦ 8 0 | 0 4 0 8 0 0 0 0 | 0 0 0 4 0 0 2 0 0 0 0 0 0 0 0 0 | * * * * * 24 * * * * * * * * * * * * | 0 1 1 0 0 0 0 0 .. .. x.3o.4x. ♦ 24 0 | 0 0 24 24 0 0 0 0 | 0 0 0 0 8 12 6 0 0 0 0 0 0 0 0 0 | * * * * * * 8 * * * * * * * * * * * | 1 1 0 0 0 0 0 0 xo .. xo .. ..&#x ♦ 4 1 | 2 0 2 0 4 0 0 0 | 1 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 | * * * * * * * 96 * * * * * * * * * * | 0 0 0 1 1 0 0 0 xo .. .. ox ..&#x ♦ 2 2 | 1 0 0 0 4 0 1 0 | 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 | * * * * * * * * 96 * * * * * * * * * | 0 0 1 1 0 0 0 0 xo .. .. .. xx&#x ♦ 4 2 | 2 0 0 2 4 0 0 1 | 0 1 0 0 0 0 0 2 0 0 0 2 0 0 0 0 | * * * * * * * * * 96 * * * * * * * * | 0 0 1 0 1 0 0 0 .. xx xo .. ..&#x ♦ 4 2 | 0 2 2 0 4 1 0 0 | 0 0 1 0 0 0 0 0 2 2 0 0 0 0 0 0 | * * * * * * * * * * 96 * * * * * * * | 0 0 0 0 0 1 1 0 .. xx .. ox ..&#x ♦ 2 4 | 0 1 0 0 4 2 2 0 | 0 0 0 0 0 0 0 0 2 0 2 0 0 1 0 0 | * * * * * * * * * * * 96 * * * * * * | 0 0 1 0 0 1 0 0 .. xx .. .. xx&#x ♦ 4 4 | 0 2 0 2 4 2 0 2 | 0 0 0 1 0 0 0 0 2 0 0 2 0 0 1 0 | * * * * * * * * * * * * 96 * * * * * | 0 0 1 0 0 0 1 0 .. .. xo3ox ..&#x ♦ 3 3 | 0 0 3 0 6 0 3 0 | 0 0 0 0 1 0 0 0 0 3 3 0 0 0 0 1 | * * * * * * * * * * * * * 64 * * * * | 0 0 0 1 0 1 0 0 .. .. xo .. xx&#x ♦ 4 2 | 0 0 2 2 4 0 0 1 | 0 0 0 0 0 1 0 0 0 2 0 2 0 0 0 0 | * * * * * * * * * * * * * * 96 * * * | 0 0 0 0 1 0 1 0 .o4.x .. .x .. ♦ 0 8 | 0 0 0 0 0 8 4 0 | 0 0 0 0 0 0 0 0 0 0 0 0 2 4 0 0 | * * * * * * * * * * * * * * * 24 * * | 0 0 1 0 0 0 0 1 .o4.x .. .. .x ♦ 0 8 | 0 0 0 0 0 8 0 4 | 0 0 0 0 0 0 0 0 0 0 0 0 2 0 4 0 | * * * * * * * * * * * * * * * * 12 * | 0 0 2 0 0 0 0 0 .. .x .o3.x .. ♦ 0 6 | 0 0 0 0 0 3 6 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 2 | * * * * * * * * * * * * * * * * * 32 | 0 0 0 0 0 1 0 1 -------------------+--------+----------------------------+------------------------------------------------------+------------------------------------------------------+-------------------- x. .. x.3o.4x. ♦ 48 0 | 24 0 48 48 0 0 0 0 | 24 24 0 0 16 24 12 0 0 0 0 0 0 0 0 0 | 8 12 6 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 | 4 * * * * * * * .. x. x.3o.4x. ♦ 48 0 | 0 24 48 48 0 0 0 0 | 0 0 24 24 16 24 12 0 0 0 0 0 0 0 0 0 | 0 0 0 8 12 6 2 0 0 0 0 0 0 0 0 0 0 0 | * 4 * * * * * * xo4xx .. ox4xx&#zx ♦ 32 32 | 16 16 0 32 64 32 16 16 | 0 16 0 16 0 0 8 32 32 0 32 32 8 16 16 0 | 0 0 4 0 0 4 0 0 16 16 0 16 16 0 0 4 4 0 | * * 6 * * * * * xo .. xo3ox ..&#x ♦ 6 3 | 3 0 6 0 12 0 3 0 | 3 0 0 0 2 0 0 6 0 6 6 0 0 0 0 1 | 1 0 0 0 0 0 0 3 3 0 0 0 0 2 0 0 0 0 | * * * 32 * * * * xo .. xo .. xx&#x ♦ 8 2 | 4 0 4 4 8 0 0 1 | 2 2 0 0 0 2 0 4 0 4 0 4 0 0 0 0 | 0 1 0 0 0 0 0 2 0 2 0 0 0 0 2 0 0 0 | * * * * 48 * * * .. xx xo3ox ..&#x ♦ 6 6 | 0 3 6 0 12 3 6 0 | 0 0 3 0 2 0 0 0 6 6 6 0 0 3 0 2 | 0 0 0 1 0 0 0 0 0 0 3 3 0 2 0 0 0 1 | * * * * * 32 * * .. xx xo .. xx&#x ♦ 8 4 | 0 4 4 4 8 2 0 2 | 0 0 2 2 0 2 0 0 4 4 0 4 0 0 1 0 | 0 0 0 0 1 0 0 0 0 0 2 0 2 0 2 0 0 0 | * * * * * * 48 * .o4.x .o3.x .. ♦ 0 12 | 0 0 0 0 0 12 12 0 | 0 0 0 0 0 0 0 0 0 0 0 0 3 12 0 4 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 4 | * * * * * * * 8
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