Acronym | tedrat |
Name | (cyclo-)tetra-diminished rat |
Circumradius | 1 |
Lace city in approx. ASCII-art |
. x3o4o . x3o4o o3x4o x3o4o . x3o4o . |
Face vector | 36, 192, 328, 212, 42 |
Confer |
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This CRF polyteron is obtained from rat by cyclically chopping off 4 opepies.
Incidence matrix according to Dynkin symbol
xox xox3oxo4ooo&#xt → both heights = 1/2 (ope || pseudo equatorial co || ope) o.. o..3o..4o.. | 12 * * | 1 4 4 1 0 0 0 0 | 4 4 4 4 4 4 4 0 0 0 0 0 0 | 4 1 4 4 4 4 4 4 0 0 0 0 0 | 1 4 1 4 1 0 0 .o. .o.3.o.4.o. | * 12 * ♦ 0 0 4 0 4 4 0 0 | 0 0 2 2 8 4 0 2 2 2 8 0 0 | 0 0 1 4 4 2 8 0 1 4 4 0 0 | 0 2 2 4 0 2 0 ..o ..o3..o4..o | * * 12 | 0 0 0 1 0 4 1 4 | 0 0 0 0 0 4 4 0 4 4 4 4 4 | 0 0 0 0 0 4 4 4 4 4 4 4 1 | 0 0 1 4 1 4 1 --------------------+----------+-----------------------+---------------------------------------+------------------------------------+--------------- x.. ... ... ... | 2 0 0 | 6 * * * * * * * | 4 0 4 0 0 0 0 0 0 0 0 0 0 | 4 0 4 4 0 0 0 0 0 0 0 0 0 | 1 4 1 0 0 0 0 ... x.. ... ... | 2 0 0 | * 24 * * * * * * | 1 2 0 1 0 0 1 0 0 0 0 0 0 | 2 1 1 0 2 1 0 2 0 0 0 0 0 | 1 2 0 2 1 0 0 oo. oo.3oo.4oo.&#x | 1 1 0 | * * 48 * * * * * | 0 0 1 1 2 1 0 0 0 0 0 0 0 | 0 0 1 2 2 1 2 0 0 0 0 0 0 | 0 2 1 2 0 0 0 o.o o.o3o.o4o.o&#x | 1 0 1 | * * * 12 * * * * | 0 0 0 0 0 4 4 0 0 0 0 0 0 | 0 0 0 0 0 4 4 4 0 0 0 0 0 | 0 0 1 4 1 0 0 ... ... .x. ... | 0 2 0 | * * * * 24 * * * | 0 0 0 0 2 0 0 1 0 0 2 0 0 | 0 0 0 1 2 0 2 0 0 1 2 0 0 | 0 1 1 2 0 1 0 .oo .oo3.oo4.oo&#x | 0 1 1 | * * * * * 48 * * | 0 0 0 0 0 1 0 0 1 1 2 0 0 | 0 0 0 0 0 1 2 0 1 2 2 0 0 | 0 0 1 2 0 2 0 ..x ... ... ... | 0 0 2 | * * * * * * 6 * | 0 0 0 0 0 0 0 0 4 0 0 4 0 | 0 0 0 0 0 0 0 0 4 4 0 4 0 | 0 0 1 0 0 4 1 ... ..x ... ... | 0 0 2 | * * * * * * * 24 | 0 0 0 0 0 0 1 0 0 1 0 1 2 | 0 0 0 0 0 1 0 2 1 0 2 2 1 | 0 0 0 2 1 2 1 --------------------+----------+-----------------------+---------------------------------------+------------------------------------+--------------- x.. x.. ... ... | 4 0 0 | 2 2 0 0 0 0 0 0 | 12 * * * * * * * * * * * * | 2 0 1 0 0 0 0 0 0 0 0 0 0 | 1 2 0 0 0 0 0 ... x..3o.. ... | 3 0 0 | 0 3 0 0 0 0 0 0 | * 16 * * * * * * * * * * * | 1 1 0 0 1 0 0 1 0 0 0 0 0 | 1 1 0 1 1 0 0 xo. ... ... ...&#x | 2 1 0 | 1 0 2 0 0 0 0 0 | * * 24 * * * * * * * * * * | 0 0 1 2 0 0 0 0 0 0 0 0 0 | 0 2 1 0 0 0 0 ... xo. ... ...&#x | 2 1 0 | 0 1 2 0 0 0 0 0 | * * * 24 * * * * * * * * * | 0 0 1 0 2 1 0 0 0 0 0 0 0 | 0 2 0 2 0 0 0 ... ... ox. ...&#x | 1 2 0 | 0 0 2 0 1 0 0 0 | * * * * 48 * * * * * * * * | 0 0 0 1 1 0 1 0 0 0 0 0 0 | 0 1 1 1 0 0 0 ooo ooo3ooo4ooo&#x | 1 1 1 | 0 0 1 1 0 1 0 0 | * * * * * 48 * * * * * * * | 0 0 0 0 0 1 2 0 0 0 0 0 0 | 0 0 1 2 0 0 0 ... x.x ... ...&#x | 2 0 2 | 0 1 0 2 0 0 0 1 | * * * * * * 24 * * * * * * | 0 0 0 0 0 1 0 2 0 0 0 0 0 | 0 0 0 2 1 0 0 ... .o.3.x. ... | 0 3 0 | 0 0 0 0 3 0 0 0 | * * * * * * * 8 * * * * * | 0 0 0 0 2 0 0 0 0 0 2 0 0 | 0 1 0 2 0 1 0 .ox ... ... ...&#x | 0 1 2 | 0 0 0 0 0 2 1 0 | * * * * * * * * 24 * * * * | 0 0 0 0 0 0 0 0 1 2 0 0 0 | 0 0 1 0 0 2 0 ... .ox ... ...&#x | 0 1 2 | 0 0 0 0 0 2 0 1 | * * * * * * * * * 24 * * * | 0 0 0 0 0 1 0 0 1 0 2 0 0 | 0 0 0 2 0 2 0 ... ... .xo ...&#x | 0 2 1 | 0 0 0 0 1 2 0 0 | * * * * * * * * * * 48 * * | 0 0 0 0 0 0 1 0 0 1 1 0 0 | 0 0 1 1 0 1 0 ..x ..x ... ... | 0 0 4 | 0 0 0 0 0 0 2 2 | * * * * * * * * * * * 12 * | 0 0 0 0 0 0 0 0 1 0 0 2 0 | 0 0 0 0 0 2 1 ... ..x3..o ... | 0 0 3 | 0 0 0 0 0 0 0 3 | * * * * * * * * * * * * 16 | 0 0 0 0 0 0 0 1 0 0 1 1 1 | 0 0 0 1 1 1 1 --------------------+----------+-----------------------+---------------------------------------+------------------------------------+--------------- x.. x..3o.. ... ♦ 6 0 0 | 3 6 0 0 0 0 0 0 | 3 2 0 0 0 0 0 0 0 0 0 0 0 | 8 * * * * * * * * * * * * | 1 1 0 0 0 0 0 ... x..3o..4o.. ♦ 6 0 0 | 0 12 0 0 0 0 0 0 | 0 8 0 0 0 0 0 0 0 0 0 0 0 | * 2 * * * * * * * * * * * | 1 0 0 0 1 0 0 xo. xo. ... ...&#x ♦ 4 1 0 | 2 2 4 0 0 0 0 0 | 1 0 2 2 0 0 0 0 0 0 0 0 0 | * * 12 * * * * * * * * * * | 0 2 0 0 0 0 0 xo. ... ox. ...&#x ♦ 2 2 0 | 1 0 4 0 1 0 0 0 | 0 0 2 0 2 0 0 0 0 0 0 0 0 | * * * 24 * * * * * * * * * | 0 1 1 0 0 0 0 ... xo.3ox. ...&#x ♦ 3 3 0 | 0 3 6 0 3 0 0 0 | 0 1 0 3 3 0 0 1 0 0 0 0 0 | * * * * 16 * * * * * * * * | 0 1 0 1 0 0 0 ... xox ... ...&#x ♦ 2 1 2 | 0 1 2 2 0 2 0 1 | 0 0 0 1 0 2 1 0 0 1 0 0 0 | * * * * * 24 * * * * * * * | 0 0 0 2 0 0 0 ... ... oxo ...&#x ♦ 1 2 1 | 0 0 2 1 1 2 0 0 | 0 0 0 0 1 2 0 0 0 0 1 0 0 | * * * * * * 48 * * * * * * | 0 0 1 1 0 0 0 ... x.x3o.o ...&#x ♦ 3 0 3 | 0 3 0 3 0 0 0 3 | 0 1 0 0 0 0 3 0 0 0 0 0 1 | * * * * * * * 16 * * * * * | 0 0 0 1 1 0 0 .ox .ox ... ...&#x ♦ 0 1 4 | 0 0 0 0 0 4 2 2 | 0 0 0 0 0 0 0 0 2 2 0 1 0 | * * * * * * * * 12 * * * * | 0 0 0 0 0 2 0 .ox ... .xo ...&#x ♦ 0 2 2 | 0 0 0 0 1 4 1 0 | 0 0 0 0 0 0 0 0 2 0 2 0 0 | * * * * * * * * * 24 * * * | 0 0 1 0 0 1 0 ... .ox3.xo ...&#x ♦ 0 3 3 | 0 0 0 0 3 6 0 3 | 0 0 0 0 0 0 0 1 0 3 3 0 1 | * * * * * * * * * * 16 * * | 0 0 0 1 0 1 0 ..x ..x3..o ... ♦ 0 0 6 | 0 0 0 0 0 0 3 6 | 0 0 0 0 0 0 0 0 0 0 0 3 2 | * * * * * * * * * * * 8 * | 0 0 0 0 0 1 1 ... ..x3..o4..o ♦ 0 0 6 | 0 0 0 0 0 0 0 12 | 0 0 0 0 0 0 0 0 0 0 0 0 8 | * * * * * * * * * * * * 2 | 0 0 0 0 1 0 1 --------------------+----------+-----------------------+---------------------------------------+------------------------------------+--------------- x.. x..3o..4o.. ♦ 12 0 0 | 6 24 0 0 0 0 0 0 | 12 16 0 0 0 0 0 0 0 0 0 0 0 | 8 2 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * xo. xo.3ox. ...&#x ♦ 6 3 0 | 3 6 12 0 3 0 0 0 | 3 2 6 6 6 0 0 1 0 0 0 0 0 | 1 0 3 3 2 0 0 0 0 0 0 0 0 | * 8 * * * * * xox ... oxo4ooo&#xt ♦ 2 4 2 | 1 0 8 2 4 8 1 0 | 0 0 4 0 8 8 0 0 4 0 8 0 0 | 0 0 0 4 0 0 8 0 0 4 0 0 0 | * * 6 * * * * ... xox3oxo ...&#x ♦ 3 3 3 | 0 3 6 3 3 6 0 3 | 0 1 0 3 3 6 3 1 0 3 3 0 1 | 0 0 0 0 1 3 3 1 0 0 1 0 0 | * * * 16 * * * ... x.x3o.o4o.o&#x ♦ 6 0 6 | 0 12 0 6 0 0 0 12 | 0 8 0 0 0 0 12 0 0 0 0 0 8 | 0 1 0 0 0 0 0 8 0 0 0 0 1 | * * * * 2 * * .ox .ox3.xo ...&#x ♦ 0 3 6 | 0 0 0 0 3 12 3 6 | 0 0 0 0 0 0 0 1 6 6 6 3 2 | 0 0 0 0 0 0 0 0 3 3 2 1 0 | * * * * * 8 * ..x ..x3..o4..o ♦ 0 0 12 | 0 0 0 0 0 0 6 24 | 0 0 0 0 0 0 0 0 0 0 0 12 16 | 0 0 0 0 0 0 0 0 0 0 0 8 2 | * * * * * * 1
xo4oo xo3ox4oo&#zx → height = 0 (tegum sum of squoct and a central co) o.4o. o.3o.4o. | 24 * | 2 4 4 0 | 8 4 8 4 4 0 | 8 1 8 8 4 | 2 8 1 .o4.o .o3.o4.o | * 12 ♦ 0 0 8 4 | 0 0 8 4 16 2 | 0 0 4 16 8 | 0 8 2 -------------------+-------+-------------+------------------+---------------+------- x. .. .. .. .. | 2 0 | 24 * * * | 4 0 4 0 0 0 | 4 0 4 4 0 | 1 4 1 .. .. x. .. .. | 2 0 | * 48 * * | 2 2 0 1 0 0 | 4 1 2 0 2 | 2 4 0 oo4oo oo3oo4oo&#x | 1 1 | * * 96 * | 0 0 2 1 2 0 | 0 0 2 4 2 | 0 4 1 .. .. .. .x .. | 0 2 | * * * 24 | 0 0 0 0 4 1 | 0 0 0 4 4 | 0 4 1 -------------------+-------+-------------+------------------+---------------+------- x. .. x. .. .. | 4 0 | 2 2 0 0 | 48 * * * * * | 2 0 1 0 0 | 1 2 0 .. .. x.3o. .. | 3 0 | 0 3 0 0 | * 32 * * * * | 2 1 0 0 1 | 2 2 0 xo .. .. .. ..&#x | 2 1 | 1 0 2 0 | * * 96 * * * | 0 0 1 2 0 | 0 2 1 .. .. xo .. ..&#x | 2 1 | 0 1 2 0 | * * * 48 * * | 0 0 2 0 2 | 0 4 0 .. .. .. ox ..&#x | 1 2 | 0 0 2 1 | * * * * 96 * | 0 0 0 2 1 | 0 2 1 .. .. .o3.x .. | 0 3 | 0 0 0 3 | * * * * * 8 | 0 0 0 0 4 | 0 4 0 -------------------+-------+-------------+------------------+---------------+------- x. .. x.3o. .. ♦ 6 0 | 3 6 0 0 | 3 2 0 0 0 0 | 32 * * * * | 1 1 0 .. .. x.3o.4o. ♦ 6 0 | 0 12 0 0 | 0 8 0 0 0 0 | * 4 * * * | 2 0 0 xo .. xo .. ..&#x ♦ 4 1 | 2 2 4 0 | 1 0 2 2 0 0 | * * 48 * * | 0 2 0 xo .. .. ox ..&#x ♦ 2 2 | 1 0 4 1 | 0 0 2 0 2 0 | * * * 96 * | 0 1 1 .. .. xo3ox ..&#x ♦ 3 3 | 0 3 6 3 | 0 1 0 3 3 1 | * * * * 32 | 0 2 0 -------------------+-------+-------------+------------------+---------------+------- x. .. x.3o.4o. ♦ 12 0 | 6 24 0 0 | 12 16 0 0 0 0 | 8 2 0 0 0 | 4 * * xo .. xo3ox ..&#x ♦ 6 3 | 3 6 12 3 | 3 2 6 6 6 1 | 1 0 3 3 2 | * 32 * xo4oo .. ox4oo&#zx ♦ 4 4 | 4 0 16 4 | 0 0 16 0 16 0 | 0 0 0 16 0 | * * 6
xo xo ox3xo3ox&#zx → height = 0 (tegum sum of squoct and a central co) o. o. o.3o.3o. | 24 * | 1 1 4 4 0 0 | 4 4 2 2 4 4 2 4 2 0 0 | 2 2 2 2 1 2 4 2 2 4 2 2 2 | 1 1 1 2 2 2 2 .o .o .o3.o3.o | * 12 ♦ 0 0 0 8 2 2 | 0 0 0 0 4 4 8 4 8 1 1 | 0 0 0 0 0 4 2 4 4 2 4 4 4 | 0 0 2 2 2 2 2 -------------------+-------+-------------------+--------------------------------+-----------------------------------+-------------- x. .. .. .. .. | 2 0 | 12 * * * * * | 4 0 0 0 4 0 0 0 0 0 0 | 2 2 0 0 0 2 4 2 0 0 0 0 0 | 1 0 1 2 2 0 0 .. x. .. .. .. | 2 0 | * 12 * * * * | 0 4 0 0 0 4 0 0 0 0 0 | 0 0 2 2 0 0 0 0 2 4 2 0 0 | 0 1 1 0 0 2 2 .. .. .. x. .. | 2 0 | * * 48 * * * | 1 1 1 1 0 0 0 1 0 0 0 | 1 1 1 1 1 0 1 0 0 1 0 1 1 | 1 1 0 1 1 1 1 oo oo oo3oo3oo&#x | 1 1 | * * * 96 * * | 0 0 0 0 1 1 1 1 1 0 0 | 0 0 0 0 0 1 1 1 1 1 1 1 1 | 0 0 1 1 1 1 1 .. .. .x .. .. | 0 2 | * * * * 12 * | 0 0 0 0 0 0 4 0 0 1 0 | 0 0 0 0 0 2 0 0 2 0 0 4 0 | 0 0 1 2 0 2 0 .. .. .. .. .x | 0 2 | * * * * * 12 | 0 0 0 0 0 0 0 0 4 0 1 | 0 0 0 0 0 0 0 2 0 0 2 0 4 | 0 0 1 0 2 0 2 -------------------+-------+-------------------+--------------------------------+-----------------------------------+-------------- x. .. .. x. .. | 4 0 | 2 0 2 0 0 0 | 24 * * * * * * * * * * | 1 1 0 0 0 0 1 0 0 0 0 0 0 | 1 0 0 1 1 0 0 .. x. .. x. .. | 4 0 | 0 2 2 0 0 0 | * 24 * * * * * * * * * | 0 0 1 1 0 0 0 0 0 1 0 0 0 | 0 1 0 0 0 1 1 .. .. o.3x. .. | 3 0 | 0 0 3 0 0 0 | * * 16 * * * * * * * * | 1 0 1 0 1 0 0 0 0 0 0 1 0 | 1 1 0 1 0 1 0 .. .. .. x.3o. | 3 0 | 0 0 3 0 0 0 | * * * 16 * * * * * * * | 0 1 0 1 1 0 0 0 0 0 0 0 1 | 1 1 0 0 1 0 1 xo .. .. .. ..&#x | 2 1 | 1 0 0 2 0 0 | * * * * 48 * * * * * * | 0 0 0 0 0 1 1 1 0 0 0 0 0 | 0 0 1 1 1 0 0 .. xo .. .. ..&#x | 2 1 | 0 1 0 2 0 0 | * * * * * 48 * * * * * | 0 0 0 0 0 0 0 0 1 1 1 0 0 | 0 0 1 0 0 1 1 .. .. ox .. ..&#x | 1 2 | 0 0 0 2 1 0 | * * * * * * 48 * * * * | 0 0 0 0 0 1 0 0 1 0 0 1 0 | 0 0 1 1 0 1 0 .. .. .. xo ..&#x | 2 1 | 0 0 1 2 0 0 | * * * * * * * 48 * * * | 0 0 0 0 0 0 1 0 0 1 0 1 1 | 0 0 0 1 1 1 1 .. .. .. .. ox&#x | 1 2 | 0 0 0 2 0 1 | * * * * * * * * 48 * * | 0 0 0 0 0 0 0 1 0 0 1 0 1 | 0 0 1 0 1 0 1 .. .. .x3.o .. | 0 3 | 0 0 0 0 3 0 | * * * * * * * * * 4 * | 0 0 0 0 0 0 0 0 0 0 0 4 0 | 0 0 0 2 0 2 0 .. .. .. .o3.x | 0 3 | 0 0 0 0 0 3 | * * * * * * * * * * 4 | 0 0 0 0 0 0 0 0 0 0 0 0 4 | 0 0 0 0 2 0 2 -------------------+-------+-------------------+--------------------------------+-----------------------------------+-------------- x. .. o.3x. .. ♦ 6 0 | 3 0 6 0 0 0 | 3 0 2 0 0 0 0 0 0 0 0 | 8 * * * * * * * * * * * * | 1 0 0 1 0 0 0 x. .. .. x.3o. ♦ 6 0 | 3 0 6 0 0 0 | 3 0 0 2 0 0 0 0 0 0 0 | * 8 * * * * * * * * * * * | 1 0 0 0 1 0 0 .. x. o.3x. .. ♦ 6 0 | 0 3 6 0 0 0 | 0 3 2 0 0 0 0 0 0 0 0 | * * 8 * * * * * * * * * * | 0 1 0 0 0 1 0 .. x. .. x.3o. ♦ 6 0 | 0 3 6 0 0 0 | 0 3 0 2 0 0 0 0 0 0 0 | * * * 8 * * * * * * * * * | 0 1 0 0 0 0 1 .. .. o.3x.3o. ♦ 6 0 | 0 0 12 0 0 0 | 0 0 4 4 0 0 0 0 0 0 0 | * * * * 4 * * * * * * * * | 1 1 0 0 0 0 0 xo .. ox .. ..&#x ♦ 2 2 | 1 0 0 4 1 0 | 0 0 0 0 2 0 2 0 0 0 0 | * * * * * 24 * * * * * * * | 0 0 1 1 0 0 0 xo .. .. xo ..&#x ♦ 4 1 | 2 0 2 4 0 0 | 1 0 0 0 2 0 0 2 0 0 0 | * * * * * * 24 * * * * * * | 0 0 0 1 1 0 0 xo .. .. .. ox&#x ♦ 2 2 | 1 0 0 4 0 1 | 0 0 0 0 2 0 0 0 2 0 0 | * * * * * * * 24 * * * * * | 0 0 1 0 1 0 0 .. xo ox .. ..&#x ♦ 2 2 | 0 1 0 4 1 0 | 0 0 0 0 0 2 2 0 0 0 0 | * * * * * * * * 24 * * * * | 0 0 1 0 0 1 0 .. xo .. xo ..&#x ♦ 4 1 | 0 2 2 4 0 0 | 0 1 0 0 0 2 0 2 0 0 0 | * * * * * * * * * 24 * * * | 0 0 0 0 0 1 1 .. xo .. .. ox&#x ♦ 2 2 | 0 1 0 4 0 1 | 0 0 0 0 0 2 0 0 2 0 0 | * * * * * * * * * * 24 * * | 0 0 1 0 0 0 1 .. .. ox3xo ..&#x ♦ 3 3 | 0 0 3 6 3 0 | 0 0 1 0 0 0 3 3 0 1 0 | * * * * * * * * * * * 16 * | 0 0 0 1 0 1 0 .. .. .. xo3ox&#x ♦ 3 3 | 0 0 3 6 0 3 | 0 0 0 1 0 0 0 3 3 0 1 | * * * * * * * * * * * * 16 | 0 0 0 0 1 0 1 -------------------+-------+-------------------+--------------------------------+-----------------------------------+-------------- x. .. o.3x.3o. ♦ 12 0 | 6 0 24 0 0 0 | 12 0 8 8 0 0 0 0 0 0 0 | 4 4 0 0 2 0 0 0 0 0 0 0 0 | 2 * * * * * * .. x. o.3x.3o. ♦ 12 0 | 0 6 24 0 0 0 | 0 12 8 8 0 0 0 0 0 0 0 | 0 0 4 4 2 0 0 0 0 0 0 0 0 | * 2 * * * * * xo xo ox .. ox&#zx ♦ 4 4 | 2 2 0 16 2 2 | 0 0 0 0 8 8 8 0 8 0 0 | 0 0 0 0 0 4 0 4 4 0 4 0 0 | * * 6 * * * * xo .. ox3xo ..&#x ♦ 6 3 | 3 0 6 12 3 0 | 3 0 2 0 6 0 6 6 0 1 0 | 1 0 0 0 0 3 3 0 0 0 0 2 0 | * * * 8 * * * xo .. .. xo3ox&#x ♦ 6 3 | 3 0 6 12 0 3 | 3 0 0 2 6 0 0 6 6 0 1 | 0 1 0 0 0 0 3 3 0 0 0 0 2 | * * * * 8 * * .. xo ox3xo ..&#x ♦ 6 3 | 0 3 6 12 3 0 | 0 3 2 0 0 6 6 6 0 1 0 | 0 0 1 0 0 0 0 0 3 3 0 2 0 | * * * * * 8 * .. xo .. xo3ox&#x ♦ 6 3 | 0 3 6 12 0 3 | 0 3 0 2 0 6 0 6 6 0 1 | 0 0 0 1 0 0 0 0 0 3 3 0 2 | * * * * * * 8
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