cytid srico

Acronym	cytid srico
Name	cyclotridiminished small rhombated icositetrachoron
	©
Circumradius	sqrt[4+2 sqrt(2)] = 2.613126
Lace city in approx. ASCII-art	(with: x3x X=2x+q=x+w, Z=3x+q=u+w) w3x x3w w3u x3X x3X X3x X3x D u3w u3w C Z3o x3w o3Z o3Z B X3x F X3x x3x E A x3X x3X w3x Z3o Z3o o3Z w3u w3u x3X x3X X3x X3x u3w w3x x3w x3x
Dihedral angles	at {3} between tricu and trip: 150° at {4} between sirco and trip: arccos[-sqrt(2/3)] = 144.735610° at {4} between squacu and trip: arccos[-sqrt(2/3)] = 144.735610° at {8} between girco and squacu: 135° at {4} between sirco and tricu: 135° at {4} between squacu and tricu: 135° at {6} between girco and tricu: 120° at {3} between sirco and sirco: 120° at {3} between sirco and squacu: 120° at {3} between squacu and squacu: 120° at {4} between girco and sirco: 90° at {4} between girco and squacu: 90° at {6} between girco and girco: 60°
Face vector	180, 468, 369, 81
Confer	uniform relative: srico segmentochora: co \|\| tic tic \|\| girco

Diminishing the srico by a bistratic stack of co || tic and tic || girco at 3 cyclical positions results in this CRF polychoron.

Incidence matrix

18  *  *  *  *  * |  2  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0 | 1  2  2  1  0  0  0  0  0  0  0  0  0  0  0  0 0 | 2  2  0  0 0  0  A
 * 36  *  *  *  * |  0  1  1  1  1  1  0  0  0  0  0  0  0  0  0  0 | 0  1  1  1  1  2  1  1  0  0  0  0  0  0  0  0 0 | 1  2  1  1 0  0  B
 *  * 36  *  *  * |  0  0  0  0  1  0  1  1  1  1  0  0  0  0  0  0 | 0  0  1  0  1  1  0  1  1  1  1  1  0  0  0  0 0 | 1  1  1  1 1  0  C
 *  *  * 36  *  * |  0  0  0  0  0  0  1  1  0  0  1  1  1  0  0  0 | 0  0  1  0  1  0  0  0  1  0  1  1  1  1  1  0 0 | 1  1  1  0 1  1  D
 *  *  *  * 36  * |  0  0  0  0  0  1  0  0  1  1  0  1  0  1  1  0 | 0  0  0  0  0  1  1  1  0  1  1  1  1  0  1  1 0 | 0  1  1  1 1  1  E
 *  *  *  *  * 18 |  0  0  0  0  0  0  0  0  0  0  0  0  2  0  2  2 | 0  0  0  0  0  0  0  0  0  0  0  2  0  1  4  1 1 | 0  0  1  0 2  2  F
------------------+-------------------------------------------------+--------------------------------------------------+----------------
 2  0  0  0  0  0 | 18  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 1  1  1  0  0  0  0  0  0  0  0  0  0  0  0  0 0 | 2  1  0  0 0  0
 1  1  0  0  0  0 |  * 36  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0  1  1  1  0  0  0  0  0  0  0  0  0  0  0  0 0 | 1  2  0  0 0  0
 0  2  0  0  0  0 |  *  * 18  *  *  *  *  *  *  *  *  *  *  *  *  * | 0  1  0  0  1  0  1  0  0  0  0  0  0  0  0  0 0 | 1  1  1  0 0  0  (within each B)
 0  2  0  0  0  0 |  *  *  * 18  *  *  *  *  *  *  *  *  *  *  *  * | 0  0  0  1  0  2  0  0  0  0  0  0  0  0  0  0 0 | 0  2  0  1 0  0  (connecting B's)
 0  1  1  0  0  0 |  *  *  *  * 36  *  *  *  *  *  *  *  *  *  *  * | 0  0  1  0  1  1  0  1  0  0  0  0  0  0  0  0 0 | 1  1  1  1 0  0
 0  1  0  0  1  0 |  *  *  *  *  * 36  *  *  *  *  *  *  *  *  *  * | 0  0  0  0  0  1  1  1  0  0  0  0  0  0  0  0 0 | 0  1  1  1 0  0
 0  0  1  1  0  0 |  *  *  *  *  *  * 36  *  *  *  *  *  *  *  *  * | 0  0  1  0  0  0  0  0  1  0  1  0  0  0  0  0 0 | 1  1  0  0 1  0  girco-{8}
 0  0  1  1  0  0 |  *  *  *  *  *  *  * 36  *  *  *  *  *  *  *  * | 0  0  0  0  1  0  0  0  1  0  0  1  0  0  0  0 0 | 1  0  1  0 1  0  girco-{6}
 0  0  1  0  1  0 |  *  *  *  *  *  *  *  * 36  *  *  *  *  *  *  * | 0  0  0  0  0  1  0  0  0  1  1  0  0  0  0  0 0 | 0  1  0  1 1  0  (short projection)
 0  0  1  0  1  0 |  *  *  *  *  *  *  *  *  * 36  *  *  *  *  *  * | 0  0  0  0  0  0  0  1  0  1  0  1  0  0  0  0 0 | 0  0  1  1 1  0  (long projection)
 0  0  0  2  0  0 |  *  *  *  *  *  *  *  *  *  * 18  *  *  *  *  * | 0  0  1  0  1  0  0  0  0  0  0  0  1  1  0  0 0 | 1  1  1  0 0  1
 0  0  0  1  1  0 |  *  *  *  *  *  *  *  *  *  *  * 36  *  *  *  * | 0  0  0  0  0  0  0  0  0  0  1  0  1  0  1  0 0 | 0  1  0  0 1  1
 0  0  0  1  0  1 |  *  *  *  *  *  *  *  *  *  *  *  * 36  *  *  * | 0  0  0  0  0  0  0  0  0  0  0  1  0  1  1  0 0 | 0  0  1  0 1  1
 0  0  0  0  2  0 |  *  *  *  *  *  *  *  *  *  *  *  *  * 18  *  * | 0  0  0  0  0  0  1  0  0  0  0  0  1  0  0  1 0 | 0  1  1  0 0  1
 0  0  0  0  1  1 |  *  *  *  *  *  *  *  *  *  *  *  *  *  * 36  * | 0  0  0  0  0  0  0  0  0  0  0  1  0  0  1  1 0 | 0  0  1  0 1  1
 0  0  0  0  0  2 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 18 | 0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  0 1 | 0  0  0  0 2  1
------------------+-------------------------------------------------+--------------------------------------------------+----------------
 6  0  0  0  0  0 |  6  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 | 3  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * * | 2  0  0  0 0  0
 2  2  0  0  0  0 |  1  2  1  0  0  0  0  0  0  0  0  0  0  0  0  0 | * 18  *  *  *  *  *  *  *  *  *  *  *  *  *  * * | 1  1  0  0 0  0
 2  2  2  2  0  0 |  1  2  0  0  2  0  2  0  0  0  1  0  0  0  0  0 | *  * 18  *  *  *  *  *  *  *  *  *  *  *  *  * * | 1  1  0  0 0  0
 1  2  0  0  0  0 |  0  2  0  1  0  0  0  0  0  0  0  0  0  0  0  0 | *  *  * 18  *  *  *  *  *  *  *  *  *  *  *  * * | 0  2  0  0 0  0
 0  2  2  2  0  0 |  0  0  1  0  2  0  0  2  0  0  1  0  0  0  0  0 | *  *  *  * 18  *  *  *  *  *  *  *  *  *  *  * * | 1  0  1  0 0  0
 0  2  1  0  1  0 |  0  0  0  1  1  1  0  0  1  0  0  0  0  0  0  0 | *  *  *  *  * 36  *  *  *  *  *  *  *  *  *  * * | 0  1  0  1 0  0
 0  2  0  0  2  0 |  0  0  1  0  0  2  0  0  0  0  0  0  0  1  0  0 | *  *  *  *  *  * 18  *  *  *  *  *  *  *  *  * * | 0  1  1  0 0  0
 0  1  1  0  1  0 |  0  0  0  0  1  1  0  0  0  1  0  0  0  0  0  0 | *  *  *  *  *  *  * 36  *  *  *  *  *  *  *  * * | 0  0  1  1 0  0
 0  0  2  2  0  0 |  0  0  0  0  0  0  2  2  0  0  0  0  0  0  0  0 | *  *  *  *  *  *  *  * 18  *  *  *  *  *  *  * * | 1  0  0  0 1  0
 0  0  2  0  2  0 |  0  0  0  0  0  0  0  0  2  2  0  0  0  0  0  0 | *  *  *  *  *  *  *  *  * 18  *  *  *  *  *  * * | 0  0  0  1 1  0
 0  0  1  1  1  0 |  0  0  0  0  0  0  1  0  1  0  0  1  0  0  0  0 | *  *  *  *  *  *  *  *  *  * 36  *  *  *  *  * * | 0  1  0  0 1  0
 0  0  1  1  1  1 |  0  0  0  0  0  0  0  1  0  1  0  0  1  0  1  0 | *  *  *  *  *  *  *  *  *  *  * 36  *  *  *  * * | 0  0  1  0 1  0
 0  0  0  2  2  0 |  0  0  0  0  0  0  0  0  0  0  1  2  0  1  0  0 | *  *  *  *  *  *  *  *  *  *  *  * 18  *  *  * * | 0  1  0  0 0  1
 0  0  0  2  0  1 |  0  0  0  0  0  0  0  0  0  0  1  0  2  0  0  0 | *  *  *  *  *  *  *  *  *  *  *  *  * 18  *  * * | 0  0  1  0 0  1
 0  0  0  1  1  2 |  0  0  0  0  0  0  0  0  0  0  0  1  1  0  1  1 | *  *  *  *  *  *  *  *  *  *  *  *  *  * 36  * * | 0  0  0  0 1  1
 0  0  0  0  2  1 |  0  0  0  0  0  0  0  0  0  0  0  0  0  1  2  0 | *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 18 * | 0  0  1  0 0  1
 0  0  0  0  0  3 |  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  3 | *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 6 | 0  0  0  0 2  0
------------------+-------------------------------------------------+--------------------------------------------------+----------------
12 12 12 12  0  0 | 12 12  6  0 12  0 12 12  0  0  6  0  0  0  0  0 | 2  6  6  0  6  0  0  0  6  0  0  0  0  0  0  0 0 | 3  *  *  * *  *  girco
 2  4  2  2  2  0 |  1  4  1  2  2  2  2  0  2  0  1  2  0  1  0  0 | 0  1  1  2  0  2  1  0  0  0  2  0  1  0  0  0 0 | * 18  *  * *  *  squacu
 0  2  2  2  2  1 |  0  0  1  0  2  2  0  2  0  2  1  0  2  1  2  0 | 0  0  0  0  1  0  1  2  0  0  0  2  0  1  0  1 0 | *  * 18  * *  *  tricu
 0  2  2  0  2  0 |  0  0  0  1  2  2  0  0  2  2  0  0  0  0  0  0 | 0  0  0  0  0  2  0  2  0  1  0  0  0  0  0  0 0 | *  *  * 18 *  *  trip
 0  0  6  6  6  6 |  0  0  0  0  0  0  6  6  6  6  0  6  6  0  6  6 | 0  0  0  0  0  0  0  0  3  3  6  6  0  0  6  0 2 | *  *  *  * 6  *  sirco
 0  0  0  2  2  2 |  0  0  0  0  0  0  0  0  0  0  1  2  2  1  2  1 | 0  0  0  0  0  0  0  0  0  0  0  0  1  1  2  1 0 | *  *  *  * * 18  trip

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