Acronym | srico | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Name |
small rhombated icositetrachoron, cantellated icositetrachoron | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
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Cross sections |
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Circumradius | sqrt[4+2 sqrt(2)] = 2.613126 | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Vertex figure |
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Vertex layers |
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Lace city in approx. ASCII-art |
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General of army | (is itself convex) | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Colonel of regiment |
(is itself locally convex
– uniform polychoral members:
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Dihedral angles | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Face vector | 288, 864, 720, 144 | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Confer |
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External links |
As abstract polytope srico is isomorphic to qrico, thereby replacing sirco by querco.
Diminishing the srico by coatics at hexadecachoral positions results in the proh.
Note that srico can be thought of as the external blend of 1 rico + 24 cubasircoes + 96 triddips + 24 copes. This decomposition is described as the degenerate segmentoteron ox3oo4xx3oo&#x. – Alternatively it can be decomposed into 1 spic + 24 octacoes + 96 opes + 96 triddips + 24 octasircoes according to xo3ox4oo3xx&#x.
Incidence matrix according to Dynkin symbol
x3o4x3o . . . . | 288 | 2 4 | 1 4 2 2 | 2 2 1 --------+-----+---------+----------------+--------- x . . . | 2 | 288 * | 1 2 0 0 | 2 1 0 . . x . | 2 | * 576 | 0 1 1 1 | 1 1 1 --------+-----+---------+----------------+--------- x3o . . | 3 | 3 0 | 96 * * * | 2 0 0 x . x . | 4 | 2 2 | * 288 * * | 1 1 0 . o4x . | 4 | 0 4 | * * 144 * | 1 0 1 . . x3o | 3 | 0 3 | * * * 192 | 0 1 1 --------+-----+---------+----------------+--------- x3o4x . ♦ 24 | 24 24 | 8 12 6 0 | 24 * * x . x3o ♦ 6 | 3 6 | 0 3 0 2 | * 96 * . o4x3o ♦ 12 | 0 24 | 0 0 6 8 | * * 24 snubbed forms: β3o4x3o, x3o4β3o, β3o4β3o
x3o4x3/2o . . . . | 288 | 2 4 | 1 4 2 2 | 2 2 1 ----------+-----+---------+----------------+--------- x . . . | 2 | 288 * | 1 2 0 0 | 2 1 0 . . x . | 2 | * 576 | 0 1 1 1 | 1 1 1 ----------+-----+---------+----------------+--------- x3o . . | 3 | 3 0 | 96 * * * | 2 0 0 x . x . | 4 | 2 2 | * 288 * * | 1 1 0 . o4x . | 4 | 0 4 | * * 144 * | 1 0 1 . . x3/2o | 3 | 0 3 | * * * 192 | 0 1 1 ----------+-----+---------+----------------+--------- x3o4x . ♦ 24 | 24 24 | 8 12 6 0 | 24 * * x . x3/2o ♦ 6 | 3 6 | 0 3 0 2 | * 96 * . o4x3/2o ♦ 12 | 0 24 | 0 0 6 8 | * * 24
x3/2o4/3x3o . . . . | 288 | 2 4 | 1 4 2 2 | 2 2 1 ------------+-----+---------+----------------+--------- x . . . | 2 | 288 * | 1 2 0 0 | 2 1 0 . . x . | 2 | * 576 | 0 1 1 1 | 1 1 1 ------------+-----+---------+----------------+--------- x3/2o . . | 3 | 3 0 | 96 * * * | 2 0 0 x . x . | 4 | 2 2 | * 288 * * | 1 1 0 . o4/3x . | 4 | 0 4 | * * 144 * | 1 0 1 . . x3o | 3 | 0 3 | * * * 192 | 0 1 1 ------------+-----+---------+----------------+--------- x3/2o4/3x . ♦ 24 | 24 24 | 8 12 6 0 | 24 * * x . x3o ♦ 6 | 3 6 | 0 3 0 2 | * 96 * . o4/3x3o ♦ 12 | 0 24 | 0 0 6 8 | * * 24
x3/2o4/3x3/2o . . . . | 288 | 2 4 | 1 4 2 2 | 2 2 1 --------------+-----+---------+----------------+--------- x . . . | 2 | 288 * | 1 2 0 0 | 2 1 0 . . x . | 2 | * 576 | 0 1 1 1 | 1 1 1 --------------+-----+---------+----------------+--------- x3/2o . . | 3 | 3 0 | 96 * * * | 2 0 0 x . x . | 4 | 2 2 | * 288 * * | 1 1 0 . o4/3x . | 4 | 0 4 | * * 144 * | 1 0 1 . . x3/2o | 3 | 0 3 | * * * 192 | 0 1 1 --------------+-----+---------+----------------+--------- x3/2o4/3x . ♦ 24 | 24 24 | 8 12 6 0 | 24 * * x . x3/2o ♦ 6 | 3 6 | 0 3 0 2 | * 96 * . o4/3x3/2o ♦ 12 | 0 24 | 0 0 6 8 | * * 24
s3s4x3o demi( . . . . ) | 288 | 2 2 2 | 1 2 1 4 1 | 2 1 2 ----------------+-----+-------------+------------------+--------- demi( . . x . ) | 2 | 288 * * | 0 1 1 1 0 | 1 1 1 sefa( s3s . . ) | 2 | * 288 * | 1 0 0 2 0 | 2 0 1 sefa( . s4x . ) | 2 | * * 288 | 0 1 0 1 1 | 1 1 1 ----------------+-----+-------------+------------------+--------- s3s . . ♦ 3 | 0 3 0 | 96 * * * * | 2 0 0 . s4x . ♦ 4 | 2 0 2 | * 144 * * * | 1 1 0 demi( . . x3o ) | 3 | 3 0 0 | * * 96 * * | 0 1 1 sefa( s3s4x . ) | 4 | 1 2 1 | * * * 288 * | 1 0 1 sefa( . s4x3o ) | 3 | 0 0 3 | * * * * 96 | 0 1 1 ----------------+-----+-------------+------------------+--------- s3s4x . ♦ 24 | 12 24 12 | 8 6 0 12 0 | 24 * * . s4x3o ♦ 12 | 12 0 12 | 0 6 4 0 4 | * 24 * sefa( s3s4x3o ) ♦ 6 | 3 3 3 | 0 0 1 3 1 | * * 96 starting figure: x3x4x3o
ooxwxwxwxoo3xxxxoooxxxx4oxxowqwoxxo&#xt → height(1,2) = height(3,4) = height(5,6) = height(6,7) = height(8,9) = height(10,11) = 1/2 height(2,3) = height(9,10) = 1/sqrt(2) = 0.707107 height(4,5) = height(7,8) = (sqrt(2)-1)/2 = 0.207107 (co || pseudo tic || pseudo girco || pseudo (w,x)-toe || pseudo (x,w)-sirco || pseudo (w,q)-sirco || pseudo (x,w)-sirco || pseudo (w,x)-toe || pseudo girco || pseudo tic || co) o..........3o..........4o.......... & | 24 * * * * * | 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 2 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 2 2 0 0 0 0 0 0 .o.........3.o.........4.o......... & | * 48 * * * * | 0 1 2 1 2 0 0 0 0 0 0 0 0 0 0 | 0 0 2 1 1 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 2 1 1 0 0 0 0 ..o........3..o........4..o........ & | * * 96 * * * | 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 | 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 | 0 0 1 1 1 1 1 0 0 ...o.......3...o.......4...o....... & | * * * 48 * * | 0 0 0 0 0 0 0 0 2 0 2 2 0 0 0 | 0 0 0 0 0 0 0 0 0 2 1 0 0 2 1 2 1 0 0 0 | 0 0 1 0 0 2 1 1 0 ....o......3....o......4....o...... & | * * * * 48 * | 0 0 0 0 0 0 0 0 0 2 0 0 2 1 1 | 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 0 1 2 1 | 0 0 0 1 0 1 2 0 1 .....o.....3.....o.....4.....o..... | * * * * * 24 | 0 0 0 0 0 0 0 0 0 0 0 4 0 2 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 2 2 0 0 1 | 0 0 0 0 0 2 2 1 0 -------------------------------------------+-------------------+----------------------------------------------+-------------------------------------------------------------+------------------------ ........... x.......... ........... & | 2 0 0 0 0 0 | 48 * * * * * * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 0 0 0 oo.........3oo.........4oo.........&#x & | 1 1 0 0 0 0 | * 48 * * * * * * * * * * * * * | 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 2 0 0 0 0 0 0 ........... .x......... ........... & | 0 2 0 0 0 0 | * * 48 * * * * * * * * * * * * | 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0 0 0 0 ........... ........... .x......... & | 0 2 0 0 0 0 | * * * 24 * * * * * * * * * * * | 0 0 0 1 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 2 0 1 0 0 0 0 .oo........3.oo........4.oo........&#x & | 0 1 1 0 0 0 | * * * * 96 * * * * * * * * * * | 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 1 1 1 0 0 0 0 ..x........ ........... ........... & | 0 0 2 0 0 0 | * * * * * 48 * * * * * * * * * | 0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 0 0 0 | 0 0 0 1 1 0 1 0 0 ........... ..x........ ........... & | 0 0 2 0 0 0 | * * * * * * 48 * * * * * * * * | 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 0 0 | 0 0 1 1 0 1 0 0 0 ........... ........... ..x........ & | 0 0 2 0 0 0 | * * * * * * * 48 * * * * * * * | 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 | 0 0 1 0 1 0 1 0 0 ..oo.......3..oo.......4..oo.......&#x & | 0 0 1 1 0 0 | * * * * * * * * 96 * * * * * * | 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 | 0 0 1 0 0 1 1 0 0 ..o.o......3..o.o......4..o.o......&#x & | 0 0 1 0 1 0 | * * * * * * * * * 96 * * * * * | 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 | 0 0 0 1 0 1 1 0 0 ........... ...x....... ........... & | 0 0 0 2 0 0 | * * * * * * * * * * 48 * * * * | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 | 0 0 1 0 0 1 0 1 0 ...o.o.....3...o.o.....4...o.o.....&#x & | 0 0 0 1 0 1 | * * * * * * * * * * * 96 * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 | 0 0 0 0 0 1 1 1 0 ....x...... ........... ........... & | 0 0 0 0 2 0 | * * * * * * * * * * * * 48 * * | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 | 0 0 0 1 0 0 1 0 1 ....oo.....3....oo.....4....oo.....&#x & | 0 0 0 0 1 1 | * * * * * * * * * * * * * 48 * | 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 1 | 0 0 0 0 0 1 2 0 0 ....o.o....3....o.o....4....o.o....&#x | 0 0 0 0 2 0 | * * * * * * * * * * * * * * 24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 | 0 0 0 0 0 0 2 0 1 -------------------------------------------+-------------------+----------------------------------------------+-------------------------------------------------------------+------------------------ o..........3x.......... ........... & | 3 0 0 0 0 0 | 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16 * * * * * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 ........... x..........4o.......... & | 4 0 0 0 0 0 | 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 12 * * * * * * * * * * * * * * * * * * | 1 0 1 0 0 0 0 0 0 ........... xx......... ...........&#x & | 2 2 0 0 0 0 | 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 | * * 48 * * * * * * * * * * * * * * * * * | 0 1 1 0 0 0 0 0 0 ........... ........... ox.........&#x & | 1 2 0 0 0 0 | 0 2 0 1 0 0 0 0 0 0 0 0 0 0 0 | * * * 24 * * * * * * * * * * * * * * * * | 0 0 2 0 0 0 0 0 0 .o.........3.x......... ........... & | 0 3 0 0 0 0 | 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * 16 * * * * * * * * * * * * * * * | 0 1 0 1 0 0 0 0 0 .ox........ ........... ...........&#x & | 0 1 2 0 0 0 | 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 | * * * * * 48 * * * * * * * * * * * * * * | 0 0 0 1 1 0 0 0 0 ........... .xx........ ...........&#x & | 0 2 2 0 0 0 | 0 0 1 0 2 0 1 0 0 0 0 0 0 0 0 | * * * * * * 48 * * * * * * * * * * * * * | 0 0 1 1 0 0 0 0 0 ........... ........... .xx........&#x & | 0 2 2 0 0 0 | 0 0 0 1 2 0 0 1 0 0 0 0 0 0 0 | * * * * * * * 48 * * * * * * * * * * * * | 0 0 1 0 1 0 0 0 0 ..x........ ........... ..x........ & | 0 0 4 0 0 0 | 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 | * * * * * * * * 24 * * * * * * * * * * * | 0 0 0 0 1 0 1 0 0 ........... ..xx....... ...........&#x & | 0 0 2 2 0 0 | 0 0 0 0 0 0 1 0 2 0 1 0 0 0 0 | * * * * * * * * * 48 * * * * * * * * * * | 0 0 1 0 0 1 0 0 0 ........... ........... ..xo.......&#x & | 0 0 2 1 0 0 | 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 | * * * * * * * * * * 48 * * * * * * * * * | 0 0 1 0 0 0 1 0 0 ..x.x...... ........... ...........&#x & | 0 0 2 0 2 0 | 0 0 0 0 0 1 0 0 0 2 0 0 1 0 0 | * * * * * * * * * * * 48 * * * * * * * * | 0 0 0 1 0 0 1 0 0 ........... ..x.o...... ...........&#x & | 0 0 2 0 1 0 | 0 0 0 0 0 0 1 0 0 2 0 0 0 0 0 | * * * * * * * * * * * * 48 * * * * * * * | 0 0 0 1 0 1 0 0 0 ..oooo.....3..oooo.....4..oooo.....&#xr & | 0 0 1 1 1 1 | 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 | * * * * * * * * * * * * * 96 * * * * * * | 0 0 0 0 0 1 1 0 0 ........... ...x.......4...o....... & | 0 0 0 4 0 0 | 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 | * * * * * * * * * * * * * * 12 * * * * * | 0 0 1 0 0 0 0 1 0 ........... ...x.o..... ...........&#x & | 0 0 0 2 0 1 | 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 | * * * * * * * * * * * * * * * 48 * * * * | 0 0 0 0 0 1 0 1 0 ........... ........... ...o.q.o...&#xt | 0 0 0 2 0 2 | 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 | * * * * * * * * * * * * * * * * 24 * * * | 0 0 0 0 0 0 1 1 0 ....x......3....o...... ........... & | 0 0 0 0 3 0 | 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 | * * * * * * * * * * * * * * * * * 16 * * | 0 0 0 1 0 0 0 0 1 ....x.x.... ........... ...........&#x | 0 0 0 0 4 0 | 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 | * * * * * * * * * * * * * * * * * * 24 * | 0 0 0 0 0 0 1 0 1 ....ooo....3....ooo....4....ooo....&#xr | 0 0 0 0 2 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 | * * * * * * * * * * * * * * * * * * * 24 | 0 0 0 0 0 0 2 0 0 -------------------------------------------+-------------------+----------------------------------------------+-------------------------------------------------------------+------------------------ o..........3x..........4o.......... & ♦ 12 0 0 0 0 0 | 24 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 * * * * * * * * oo.........3xx......... ...........&#x & ♦ 3 3 0 0 0 0 | 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 16 * * * * * * * ........... xxxx.......4oxxo.......&#xt & ♦ 4 8 8 4 0 0 | 4 8 4 4 8 0 4 4 8 0 4 0 0 0 0 | 0 1 4 4 0 0 4 4 0 4 4 0 0 0 1 0 0 0 0 0 | * * 12 * * * * * * .ox.x......3.xx.o...... ...........&#xt & ♦ 0 3 6 0 3 0 | 0 0 3 0 6 3 3 0 0 6 0 0 3 0 0 | 0 0 0 0 1 3 3 0 0 0 0 3 3 0 0 0 0 1 0 0 | * * * 16 * * * * * .ox........ ........... .xx........&#x & ♦ 0 2 4 0 0 0 | 0 0 0 1 4 2 0 2 0 0 0 0 0 0 0 | 0 0 0 0 0 2 0 2 1 0 0 0 0 0 0 0 0 0 0 0 | * * * * 24 * * * * ........... ..xxoo..... ...........&#xr & ♦ 0 0 2 2 1 1 | 0 0 0 0 0 0 1 0 2 2 1 2 0 1 0 | 0 0 0 0 0 0 0 0 0 1 0 0 1 2 0 1 0 0 0 0 | * * * * * 48 * * * ..xwxwxwx.. ........... ..xowqwox..&#xt ♦ 0 0 8 4 8 4 | 0 0 0 0 0 4 0 4 8 8 0 8 4 8 4 | 0 0 0 0 0 0 0 0 2 0 4 4 0 8 0 0 2 0 2 4 | * * * * * * 12 * * ........... ...x.o.x...4...o.q.o...&#xt ♦ 0 0 0 8 0 4 | 0 0 0 0 0 0 0 0 0 0 8 16 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 4 0 0 0 | * * * * * * * 6 * ....x.x....3....o.o.... ...........&#x ♦ 0 0 0 0 6 0 | 0 0 0 0 0 0 0 0 0 0 0 0 6 0 3 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 0 | * * * * * * * * 8
xxwoqoqowxx3oqowxxxwoqo4xoxoxuxoxox&#xt → height(1,2) = height(2,3) = height(4,5) = height(5,6) = height(6,7) = height(7,8) = height(9,10) = height(10,11) = 1/2 height(3,4) = height(8,9) = (sqrt(2)-1)/2 = 0.207107 (sirco || pseudo (x,q)-toe || pseudo (w,x)-sirco || pseudo w-co || pseudo (q,x,x)-girco || pseudo (x,u)-tic || pseudo (q,x,x)-girco || pseudo w-co || pseudo (w,x)-sirco || pseudo (x,q)-toe || sirco) o..........3o..........4o.......... & | 48 * * * * * | 2 2 2 0 0 0 0 0 0 0 0 0 0 0 | 1 2 1 2 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 2 1 0 0 0 0 .o.........3.o.........4.o......... & | * 48 * * * * | 0 0 2 1 2 1 0 0 0 0 0 0 0 0 | 0 0 0 2 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 | 0 2 1 1 1 0 0 0 ..o........3..o........4..o........ & | * * 48 * * * | 0 0 0 0 2 0 2 2 0 0 0 0 0 0 | 0 0 0 0 1 0 2 0 2 1 1 2 0 0 0 0 0 0 0 | 0 1 0 1 2 1 0 0 ...o.......3...o.......4...o....... & | * * * 24 * * | 0 0 0 0 0 2 0 0 4 0 0 0 0 0 | 0 0 0 0 0 0 0 1 4 0 0 0 2 2 0 0 0 0 0 | 0 2 0 0 2 0 1 0 ....o......3....o......4....o...... & | * * * * 96 * | 0 0 0 0 0 0 0 1 1 1 1 1 1 0 | 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 1 1 0 | 0 1 0 0 1 1 1 1 .....o.....3.....o.....4.....o..... | * * * * * 24 | 0 0 0 0 0 0 0 0 0 0 0 4 0 2 | 0 0 0 0 0 0 0 0 0 0 0 0 2 0 4 0 0 2 1 | 0 2 0 0 0 0 1 2 -------------------------------------------+-------------------+-------------------------------------------+---------------------------------------------------------+---------------------- x.......... ........... ........... & | 2 0 0 0 0 0 | 48 * * * * * * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 0 0 ........... ........... x.......... & | 2 0 0 0 0 0 | * 48 * * * * * * * * * * * * | 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 1 1 0 0 0 0 oo.........3oo.........3oo.........&#x & | 1 1 0 0 0 0 | * * 96 * * * * * * * * * * * | 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0 0 0 .x......... ........... ........... & | 0 2 0 0 0 0 | * * * 24 * * * * * * * * * * | 0 0 0 2 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 0 2 1 0 0 0 0 0 .oo........3.oo........4.oo........&#x & | 0 1 1 0 0 0 | * * * * 96 * * * * * * * * * | 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 | 0 1 0 1 1 0 0 0 .o.o.......3.o.o.......4.o.o.......&#x & | 0 1 0 1 0 0 | * * * * * 48 * * * * * * * * | 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 | 0 2 0 0 1 0 0 0 ........... ........... ..x........ & | 0 0 2 0 0 0 | * * * * * * 48 * * * * * * * | 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 | 0 0 0 1 1 1 0 0 ..o.o......3..o.o......4..o.o......&#x & | 0 0 1 0 1 0 | * * * * * * * 96 * * * * * * | 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 | 0 1 0 0 1 1 0 0 ...oo......3...oo......4...oo......&#x & | 0 0 0 1 1 0 | * * * * * * * * 96 * * * * * | 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 | 0 1 0 0 1 0 1 0 ........... ....x...... ........... & | 0 0 0 0 2 0 | * * * * * * * * * 48 * * * * | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 | 0 1 0 0 0 1 0 1 ........... ........... ....x...... & | 0 0 0 0 2 0 | * * * * * * * * * * 48 * * * | 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 | 0 0 0 0 1 1 1 0 ....oo.....3....oo.....4....oo.....&#x & | 0 0 0 0 1 1 | * * * * * * * * * * * 96 * * | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 | 0 1 0 0 0 0 1 1 ....o.o....3....o.o....4....o.o....&#x | 0 0 0 0 2 0 | * * * * * * * * * * * * 48 * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 | 0 0 0 0 0 1 1 1 ........... .....x..... ........... | 0 0 0 0 0 2 | * * * * * * * * * * * * * 24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 | 0 2 0 0 0 0 0 1 -------------------------------------------+-------------------+-------------------------------------------+---------------------------------------------------------+---------------------- x..........3o.......... ........... & | 3 0 0 0 0 0 | 3 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16 * * * * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 x.......... ........... x.......... & | 4 0 0 0 0 0 | 2 2 0 0 0 0 0 0 0 0 0 0 0 0 | * 24 * * * * * * * * * * * * * * * * * | 1 0 1 0 0 0 0 0 ........... o..........4x.......... & | 4 0 0 0 0 0 | 0 4 0 0 0 0 0 0 0 0 0 0 0 0 | * * 12 * * * * * * * * * * * * * * * * | 1 0 0 1 0 0 0 0 xx......... ........... ...........&#x & | 2 2 0 0 0 0 | 1 0 2 1 0 0 0 0 0 0 0 0 0 0 | * * * 48 * * * * * * * * * * * * * * * | 0 1 1 0 0 0 0 0 ........... oqo........ ...........&#xt & | 1 2 1 0 0 0 | 0 0 2 0 2 0 0 0 0 0 0 0 0 0 | * * * * 48 * * * * * * * * * * * * * * | 0 1 0 1 0 0 0 0 ........... ........... xo.........&#x & | 2 1 0 0 0 0 | 0 1 2 0 0 0 0 0 0 0 0 0 0 0 | * * * * * 48 * * * * * * * * * * * * * | 0 0 1 1 0 0 0 0 ........... ........... .ox........&#x & | 0 1 2 0 0 0 | 0 0 0 0 2 0 1 0 0 0 0 0 0 0 | * * * * * * 48 * * * * * * * * * * * * | 0 0 0 1 1 0 0 0 .x.o....... ........... ...........&#x & | 0 2 0 1 0 0 | 0 0 0 1 0 2 0 0 0 0 0 0 0 0 | * * * * * * * 24 * * * * * * * * * * * | 0 2 0 0 0 0 0 0 .oooo......3.oooo......4.oooo......&#xr & | 0 1 1 1 1 0 | 0 0 0 0 1 1 0 1 1 0 0 0 0 0 | * * * * * * * * 96 * * * * * * * * * * | 0 1 0 0 1 0 0 0 ........... ..o........4..x........ & | 0 0 4 0 0 0 | 0 0 0 0 0 0 4 0 0 0 0 0 0 0 | * * * * * * * * * 12 * * * * * * * * * | 0 0 0 1 0 1 0 0 ........... ..o.x...... ...........&#x & | 0 0 1 0 2 0 | 0 0 0 0 0 0 0 2 0 1 0 0 0 0 | * * * * * * * * * * 48 * * * * * * * * | 0 1 0 0 0 1 0 0 ........... ........... ..x.x......&#x & | 0 0 2 0 2 0 | 0 0 0 0 0 0 1 2 0 0 1 0 0 0 | * * * * * * * * * * * 48 * * * * * * * | 0 0 0 0 1 1 0 0 ...oqo..... ........... ...........&#xt & | 0 0 0 1 2 1 | 0 0 0 0 0 0 0 0 2 0 0 2 0 0 | * * * * * * * * * * * * 48 * * * * * * | 0 1 0 0 0 0 1 0 ........... ........... ...ox......&#x & | 0 0 0 1 2 0 | 0 0 0 0 0 0 0 0 2 0 1 0 0 0 | * * * * * * * * * * * * * 48 * * * * * | 0 0 0 0 1 0 1 0 ........... ....xx..... ...........&#x & | 0 0 0 0 2 2 | 0 0 0 0 0 0 0 0 0 1 0 2 0 1 | * * * * * * * * * * * * * * 48 * * * * | 0 1 0 0 0 0 0 1 ........... ....x.x.... ...........&#x | 0 0 0 0 4 0 | 0 0 0 0 0 0 0 0 0 2 0 0 2 0 | * * * * * * * * * * * * * * * 24 * * * | 0 0 0 0 0 1 0 1 ........... ........... ....x.x....&#x | 0 0 0 0 4 0 | 0 0 0 0 0 0 0 0 0 0 2 0 2 0 | * * * * * * * * * * * * * * * * 24 * * | 0 0 0 0 0 1 1 0 ....ooo....3....ooo....4....ooo....&#xr | 0 0 0 0 2 1 | 0 0 0 0 0 0 0 0 0 0 0 2 1 0 | * * * * * * * * * * * * * * * * * 48 * | 0 0 0 0 0 0 1 1 .....o.....3.....x..... ........... | 0 0 0 0 0 3 | 0 0 0 0 0 0 0 0 0 0 0 0 0 3 | * * * * * * * * * * * * * * * * * * 8 | 0 2 0 0 0 0 0 0 -------------------------------------------+-------------------+-------------------------------------------+---------------------------------------------------------+---------------------- x..........3o..........4x.......... & ♦ 24 0 0 0 0 0 | 24 24 0 0 0 0 0 0 0 0 0 0 0 0 | 8 12 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 * * * * * * * xxwoqo.....3oqowxx..... ...........&#xt & ♦ 3 6 3 3 6 3 | 3 0 6 3 6 6 0 6 6 3 0 6 0 3 | 1 0 0 3 3 0 0 3 6 0 3 0 3 0 3 0 0 0 1 | * 16 * * * * * * xx......... ........... xo.........&#x & ♦ 4 2 0 0 0 0 | 2 2 4 1 0 0 0 0 0 0 0 0 0 0 | 0 1 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * 24 * * * * * ........... oqo........4xox........&#xt & ♦ 4 4 4 0 0 0 | 0 4 8 0 8 0 4 0 0 0 0 0 0 0 | 0 0 1 0 4 4 4 0 0 1 0 0 0 0 0 0 0 0 0 | * * * 12 * * * * ........... ........... .oxox......&#xr & ♦ 0 1 2 1 2 0 | 0 0 0 0 2 1 1 2 2 0 1 0 0 0 | 0 0 0 0 0 0 1 0 2 0 0 1 0 1 0 0 0 0 0 | * * * * 48 * * * ........... ..o.x.x.o..4..x.x.x.x..&#xt ♦ 0 0 8 0 16 0 | 0 0 0 0 0 0 8 16 0 8 8 0 8 0 | 0 0 0 0 0 0 0 0 0 2 8 8 0 0 0 4 4 0 0 | * * * * * 6 * * ...oqoqo... ........... ...oxuxo...&#xt ♦ 0 0 0 2 8 2 | 0 0 0 0 0 0 0 0 8 0 4 8 4 0 | 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 0 2 4 0 | * * * * * * 12 * ........... ....xxx.... ...........&#xr ♦ 0 0 0 0 4 2 | 0 0 0 0 0 0 0 0 0 2 0 4 2 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 0 | * * * * * * * 24
wx3oo3xx4ox&#zx → height = 0 (tegum sum of (w,x)-rico and proh) o.3o.3o.4o. | 96 * | 4 2 0 0 0 | 2 2 4 1 0 0 0 0 | 1 2 2 0 0 .o3.o3.o4.o | * 192 | 0 1 2 2 1 | 0 0 2 1 1 2 2 1 | 0 2 1 1 1 ----------------+--------+--------------------+--------------------------+-------------- .. .. x. .. | 2 0 | 192 * * * * | 1 1 1 0 0 0 0 0 | 1 1 1 0 0 oo3oo3oo4oo&#x | 1 1 | * 192 * * * | 0 0 2 1 0 0 0 0 | 0 2 1 0 0 .x .. .. .. | 0 2 | * * 192 * * | 0 0 0 0 1 1 1 0 | 0 1 0 1 1 .. .. .x .. | 0 2 | * * * 192 * | 0 0 1 0 0 1 0 1 | 0 1 1 1 0 .. .. .. .x | 0 2 | * * * * 96 | 0 0 0 1 0 0 2 0 | 0 2 0 0 1 ----------------+--------+--------------------+--------------------------+-------------- .. o.3x. .. | 3 0 | 3 0 0 0 0 | 64 * * * * * * * | 1 0 1 0 0 .. .. x.4o. | 4 0 | 4 0 0 0 0 | * 48 * * * * * * | 1 1 0 0 0 .. .. xx ..&#x | 2 2 | 1 2 0 1 0 | * * 192 * * * * * | 0 1 1 0 0 .. .. .. ox&#x | 1 2 | 0 2 0 0 1 | * * * 96 * * * * | 0 2 0 0 0 .x3.o .. .. | 0 3 | 0 0 3 0 0 | * * * * 64 * * * | 0 0 0 1 1 .x .. .x .. | 0 4 | 0 0 2 2 0 | * * * * * 96 * * | 0 1 0 1 0 .x .. .. .x | 0 4 | 0 0 2 0 2 | * * * * * * 96 * | 0 1 0 0 1 .. .o3.x .. | 0 3 | 0 0 0 3 0 | * * * * * * * 64 | 0 0 1 1 0 ----------------+--------+--------------------+--------------------------+-------------- .. o.3x.4o. ♦ 12 0 | 24 0 0 0 0 | 8 6 0 0 0 0 0 0 | 8 * * * * wx .. xx4ox&#zx ♦ 8 16 | 8 16 8 8 8 | 0 2 8 8 0 4 4 0 | * 24 * * * .. oo3xx ..&#x ♦ 3 3 | 3 3 0 3 0 | 1 0 3 0 0 0 0 1 | * * 64 * * .x3.o3.x .. ♦ 0 12 | 0 0 12 12 0 | 0 0 0 0 4 6 0 4 | * * * 16 * .x3.o .. .x ♦ 0 6 | 0 0 6 0 3 | 0 0 0 0 2 0 3 0 | * * * * 32
qo3xx3oq4xo&#zx → height = 0 (tegum sum of (q,x,x)-prit and (x,q)-tah) o.3o.3o.4o. | 192 * | 2 2 2 0 | 1 2 1 1 2 2 0 | 1 1 2 1 .o3.o3.o4.o | * 96 | 0 0 4 2 | 0 0 0 2 4 2 1 | 0 1 2 2 ----------------+--------+----------------+------------------------+----------- .. x. .. .. | 2 0 | 192 * * * | 1 1 0 0 1 0 0 | 1 0 1 1 .. .. .. x. | 2 0 | * 192 * * | 0 1 1 0 0 1 0 | 1 1 1 0 oo3oo3oo4oo&#x | 1 1 | * * 384 * | 0 0 0 1 1 1 0 | 0 1 1 1 .. .x .. .. | 0 2 | * * * 96 | 0 0 0 0 2 0 1 | 0 0 1 2 ----------------+--------+----------------+------------------------+----------- .. x.3o. .. | 3 0 | 3 0 0 0 | 64 * * * * * * | 1 0 0 1 .. x. .. x. | 4 0 | 2 2 0 0 | * 96 * * * * * | 1 0 1 0 .. .. o.4x. | 4 0 | 0 4 0 0 | * * 48 * * * * | 1 1 0 0 qo .. oq ..&#zx | 2 2 | 0 0 4 0 | * * * 96 * * * | 0 1 0 1 .. xx .. ..&#x | 2 2 | 1 0 2 1 | * * * * 192 * * | 0 0 1 1 .. .. .. xo&#x | 2 1 | 0 1 2 0 | * * * * * 192 * | 0 1 1 0 .o3.x .. .. | 0 3 | 0 0 0 3 | * * * * * * 32 | 0 0 0 2 ----------------+--------+----------------+------------------------+----------- .. x.3o.4x. ♦ 24 0 | 24 24 0 0 | 8 12 6 0 0 0 0 | 8 * * * qo .. oq4xo&#zx ♦ 8 4 | 0 8 16 0 | 0 0 2 4 0 8 0 | * 24 * * .. xx .. xo&#x ♦ 4 2 | 2 2 4 1 | 0 1 0 0 2 2 0 | * * 96 * qo3xx3oq ..&#zx ♦ 12 12 | 12 0 24 12 | 4 0 0 6 12 0 4 | * * * 16
wxx3ooo3xwx *b3xxw&#zx → height = 0 (tegum sum of 3 mutually gyrated (w,x,x)-ricoes) o..3o..3o.. *b3o.. | 96 * * | 2 2 1 1 0 0 0 0 0 | 1 1 2 2 2 1 0 0 0 0 0 0 0 | 1 1 1 2 0 0 0 .o.3.o.3.o. *b3.o. | * 96 * | 0 0 1 0 2 2 1 0 0 | 0 0 0 2 0 1 1 2 1 2 0 0 0 | 0 1 0 2 1 1 0 ..o3..o3..o *b3..o | * * 96 | 0 0 0 1 0 0 1 2 2 | 0 0 0 0 2 1 0 0 0 2 1 2 1 | 0 0 1 2 0 1 1 -----------------------+----------+----------------------------+----------------------------------------+------------------ ... ... x.. ... | 2 0 0 | 96 * * * * * * * * | 1 0 1 0 1 0 0 0 0 0 0 0 0 | 1 0 1 1 0 0 0 ... ... ... x.. | 2 0 0 | * 96 * * * * * * * | 0 1 1 1 0 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0 0 oo.3oo.3oo. *b3oo.&#x | 1 1 0 | * * 96 * * * * * * | 0 0 0 2 0 1 0 0 0 0 0 0 0 | 0 1 0 2 0 0 0 o.o3o.o3o.o3*b3o.o&#x | 1 0 1 | * * * 96 * * * * * | 0 0 0 0 2 1 0 0 0 0 0 0 0 | 0 0 1 2 0 0 0 .x. ... ... ... | 0 2 0 | * * * * 96 * * * * | 0 0 0 0 0 0 1 1 0 1 0 0 0 | 0 0 0 1 1 1 0 ... ... ... .x. | 0 2 0 | * * * * * 96 * * * | 0 0 0 1 0 0 0 1 1 0 0 0 0 | 0 1 0 1 1 0 0 .oo3.oo3.oo *b3.oo&#x | 0 1 1 | * * * * * * 96 * * | 0 0 0 0 0 1 0 0 0 2 0 0 0 | 0 0 0 2 0 1 0 ..x ... ... ... | 0 0 2 | * * * * * * * 96 * | 0 0 0 0 0 0 0 0 0 1 1 1 0 | 0 0 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 1 -----------------------+----------+----------------------------+----------------------------------------+------------------ ... o..3x.. ... | 3 0 0 | 3 0 0 0 0 0 0 0 0 | 32 * * * * * * * * * * * * | 1 0 1 0 0 0 0 ... o.. ... *b3x.. | 3 0 0 | 0 3 0 0 0 0 0 0 0 | * 32 * * * * * * * * * * * | 1 1 0 0 0 0 0 ... ... x.. x.. | 4 0 0 | 2 2 0 0 0 0 0 0 0 | * * 48 * * * * * * * * * * | 1 0 0 1 0 0 0 ... ... ... xx.&#x | 2 2 0 | 0 1 2 0 0 1 0 0 0 | * * * 96 * * * * * * * * * | 0 1 0 1 0 0 0 ... ... x.x ...&#x | 2 0 2 | 1 0 0 2 0 0 0 0 1 | * * * * 96 * * * * * * * * | 0 0 1 1 0 0 0 ooo3ooo3ooo *b3ooo&#x | 1 1 1 | 0 0 1 1 0 0 1 0 0 | * * * * * 96 * * * * * * * | 0 0 0 2 0 0 0 .x.3.o. ... ... | 0 3 0 | 0 0 0 0 3 0 0 0 0 | * * * * * * 32 * * * * * * | 0 0 0 0 1 1 0 .x. ... ... .x. | 0 4 0 | 0 0 0 0 2 2 0 0 0 | * * * * * * * 48 * * * * * | 0 0 0 1 1 0 0 ... .o. ... *b3.x. | 0 3 0 | 0 0 0 0 0 3 0 0 0 | * * * * * * * * 32 * * * * | 0 1 0 0 1 0 0 .xx ... ... ...&#x | 0 2 2 | 0 0 0 0 1 0 2 1 0 | * * * * * * * * * 96 * * * | 0 0 0 1 0 1 0 ..x3..o ... ... | 0 0 3 | 0 0 0 0 0 0 0 3 0 | * * * * * * * * * * 32 * * | 0 0 0 0 0 1 1 ..x ... ..x ... | 0 0 4 | 0 0 0 0 0 0 0 2 2 | * * * * * * * * * * * 48 * | 0 0 0 1 0 0 1 ... ..o3..x ... | 0 0 3 | 0 0 0 0 0 0 0 0 3 | * * * * * * * * * * * * 32 | 0 0 1 0 0 0 1 -----------------------+----------+----------------------------+----------------------------------------+------------------ ... o..3x.. *b3x.. ♦ 12 0 0 | 12 12 0 0 0 0 0 0 0 | 4 4 6 0 0 0 0 0 0 0 0 0 0 | 8 * * * * * * ... oo. ... *b3xx.&#x ♦ 3 3 0 | 0 3 3 0 0 3 0 0 0 | 0 1 0 3 0 0 0 0 1 0 0 0 0 | * 32 * * * * * ... o.o3x.x ...&#x ♦ 3 0 3 | 3 0 0 3 0 0 0 0 3 | 1 0 0 0 3 0 0 0 0 0 0 0 1 | * * 32 * * * * wxx ... xwx xxw&#zx ♦ 8 8 8 | 4 4 8 8 4 4 8 4 4 | 0 0 2 4 4 8 0 2 0 4 0 2 0 | * * * 24 * * * .x.3.o. ... *b3.x. ♦ 0 12 0 | 0 0 0 0 12 12 0 0 0 | 0 0 0 0 0 0 4 6 4 0 0 0 0 | * * * * 8 * * .xx3.oo ... ...&#x ♦ 0 3 3 | 0 0 0 0 3 0 3 3 0 | 0 0 0 0 0 0 1 0 0 3 1 0 0 | * * * * * 32 * ..x3..o3..x ... ♦ 0 0 12 | 0 0 0 0 0 0 0 12 12 | 0 0 0 0 0 0 0 0 0 0 4 6 4 | * * * * * * 8
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