Acronym | rat | ||||||||||||||||||||||||||||||||
Name |
rectified triacontiditeron, rectified pentacross, vertex figure of hinoh, lattice B5 contact polytope (span of its small roots), lattice D5 contact polytope (span of its roots), equatorial cross-section of tac-first rag, equatorial cross-section of hin-first mo | ||||||||||||||||||||||||||||||||
Field of sections |
© | ||||||||||||||||||||||||||||||||
Circumradius | 1 | ||||||||||||||||||||||||||||||||
Inradius wrt. hex | 1/sqrt(2) = 0.707107 | ||||||||||||||||||||||||||||||||
Inradius wrt. rap | sqrt(2/5) = 0.632456 | ||||||||||||||||||||||||||||||||
Vertex figure |
© © | ||||||||||||||||||||||||||||||||
Lace city in approx. ASCII-art |
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x3o3o o3o3x -- x3o3o4o (hex) o3x3o x3o3x o3x3o -- o3x3o4o (ico) x3o3o o3o3x -- x3o3o4o (hex) \ \ \ \ \ +- o3x3o3o (rap) \ +-------- x3o3o3x (spid) +--------------- o3o3x3o (inv. rap) | |||||||||||||||||||||||||||||||||
Lace hyper city in approx. ASCII-art |
where: o = o4o S = x4o Q = o4q | ||||||||||||||||||||||||||||||||
Coordinates | (1/sqrt(2), 1/sqrt(2), 0, 0, 0) & all permutations, all changes of sign | ||||||||||||||||||||||||||||||||
Volume | 9 sqrt(2)/10 = 0.636396 | ||||||||||||||||||||||||||||||||
Surface | (5+11 sqrt(5))/3 = 9.865583 | ||||||||||||||||||||||||||||||||
General of army | (is itself convex) | ||||||||||||||||||||||||||||||||
Colonel of regiment |
(is itself locally convex
– uniform polyteral members:
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Dihedral angles | |||||||||||||||||||||||||||||||||
Dual | durat | ||||||||||||||||||||||||||||||||
Face vector | 40, 240, 400, 240, 42 | ||||||||||||||||||||||||||||||||
Confer |
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External links |
Incidence matrix according to Dynkin symbol
o3x3o3o4o . . . . . | 40 ♦ 12 | 6 24 | 12 16 | 8 2 ----------+----+-----+--------+--------+------ . x . . . | 2 | 240 ♦ 1 4 | 4 4 | 4 1 ----------+----+-----+--------+--------+------ o3x . . . | 3 | 3 | 80 * | 4 0 | 4 0 . x3o . . | 3 | 3 | * 320 | 1 2 | 2 1 ----------+----+-----+--------+--------+------ o3x3o . . ♦ 6 | 12 | 4 4 | 80 * | 2 0 . x3o3o . ♦ 4 | 6 | 0 4 | * 160 | 1 1 ----------+----+-----+--------+--------+------ o3x3o3o . ♦ 10 | 30 | 10 20 | 5 5 | 32 * . x3o3o4o ♦ 8 | 24 | 0 32 | 0 16 | * 10
o3x3o3o4/3o . . . . . | 40 ♦ 12 | 6 24 | 12 16 | 8 2 ------------+----+-----+--------+--------+------ . x . . . | 2 | 240 ♦ 1 4 | 4 4 | 4 1 ------------+----+-----+--------+--------+------ o3x . . . | 3 | 3 | 80 * | 4 0 | 4 0 . x3o . . | 3 | 3 | * 320 | 1 2 | 2 1 ------------+----+-----+--------+--------+------ o3x3o . . ♦ 6 | 12 | 4 4 | 80 * | 2 0 . x3o3o . ♦ 4 | 6 | 0 4 | * 160 | 1 1 ------------+----+-----+--------+--------+------ o3x3o3o . ♦ 10 | 30 | 10 20 | 5 5 | 32 * . x3o3o4/3o ♦ 8 | 24 | 0 32 | 0 16 | * 10
o3o3o *b3x3o . . . . . | 40 ♦ 12 | 24 6 | 8 8 12 | 2 4 4 -------------+----+-----+--------+----------+--------- . . . x . | 2 | 240 ♦ 4 1 | 2 2 4 | 1 2 2 -------------+----+-----+--------+----------+--------- . o . *b3x . | 3 | 3 | 320 * | 1 1 1 | 1 1 1 . . . x3o | 3 | 3 | * 80 | 0 0 4 | 0 2 2 -------------+----+-----+--------+----------+--------- o3o . *b3x . ♦ 4 | 6 | 4 0 | 80 * * | 1 1 0 . o3o *b3x . ♦ 4 | 6 | 4 0 | * 80 * | 1 0 1 . o . *b3x3o ♦ 6 | 12 | 4 4 | * * 80 | 0 1 1 -------------+----+-----+--------+----------+--------- o3o3o *b3x . ♦ 8 | 24 | 32 0 | 8 8 0 | 10 * * o3o . *b3x3o ♦ 10 | 30 | 20 10 | 5 0 5 | * 16 * . o3o *b3x3o ♦ 10 | 30 | 20 10 | 0 5 5 | * * 16
xox3oxo3ooo4ooo&#xt → both heights = 1/sqrt(2) = 0.707107 (hex || pseudo ico || hex) o..3o..3o..4o.. | 8 * * ♦ 6 6 0 0 0 | 12 6 12 0 0 0 0 0 | 8 12 8 0 0 0 0 | 1 8 1 0 0 .o.3.o.3.o.4.o. | * 24 * ♦ 0 2 8 2 0 | 0 1 8 4 8 1 8 0 | 0 4 8 4 4 8 0 | 0 4 2 4 0 ..o3..o3..o4..o | * * 8 ♦ 0 0 0 6 6 | 0 0 0 0 0 6 12 12 | 0 0 0 0 12 8 8 | 0 0 1 8 1 --------------------+--------+----------------+-------------------------+----------------------+------------ x.. ... ... ... | 2 0 0 | 24 * * * * ♦ 4 1 0 0 0 0 0 0 | 4 4 0 0 0 0 0 | 1 4 0 0 0 oo.3oo.3oo.4oo.&#x | 1 1 0 | * 48 * * * ♦ 0 1 4 0 0 0 0 0 | 0 4 4 0 0 0 0 | 0 4 1 0 0 ... .x. ... ... | 0 2 0 | * * 96 * * ♦ 0 0 1 1 2 0 1 0 | 0 1 2 2 1 2 0 | 0 2 1 2 0 .oo3.oo3.oo4.oo&#x | 0 1 1 | * * * 48 * ♦ 0 0 0 0 0 1 4 0 | 0 0 0 0 4 4 0 | 0 0 1 4 0 ..x ... ... ... | 0 0 2 | * * * * 24 ♦ 0 0 0 0 0 1 0 4 | 0 0 0 0 4 0 4 | 0 0 0 4 1 --------------------+--------+----------------+-------------------------+----------------------+------------ x..3o.. ... ... | 3 0 0 | 3 0 0 0 0 | 32 * * * * * * * | 2 1 0 0 0 0 0 | 1 2 0 0 0 xo. ... ... ...&#x | 2 1 0 | 1 2 0 0 0 | * 24 * * * * * * | 0 4 0 0 0 0 0 | 0 4 0 0 0 ... ox. ... ...&#x | 1 2 0 | 0 2 1 0 0 | * * 96 * * * * * | 0 1 2 0 0 0 0 | 0 2 1 0 0 .o.3.x. ... ... | 0 3 0 | 0 0 3 0 0 | * * * 32 * * * * | 0 1 0 2 1 0 0 | 0 2 0 2 0 ... .x.3.o. ... | 0 3 0 | 0 0 3 0 0 | * * * * 64 * * * | 0 0 1 1 0 1 0 | 0 1 1 1 0 .ox ... ... ...&#x | 0 1 2 | 0 0 0 2 1 | * * * * * 24 * * | 0 0 0 0 4 0 0 | 0 0 0 4 0 ... .xo ... ... | 0 2 1 | 0 0 1 2 0 | * * * * * * 96 * | 0 0 0 0 1 2 0 | 0 0 1 2 0 ..x3..o ... ... | 0 0 3 | 0 0 0 0 3 | * * * * * * * 32 | 0 0 0 0 1 0 2 | 0 0 0 2 1 --------------------+--------+----------------+-------------------------+----------------------+------------ x..3o..3o.. ... ♦ 4 0 0 | 6 0 0 0 0 | 4 0 0 0 0 0 0 0 | 16 * * * * * * | 1 1 0 0 0 xo.3ox. ... ...&#x ♦ 3 3 0 | 3 6 3 0 0 | 1 3 3 1 0 0 0 0 | * 32 * * * * * | 0 2 0 0 0 ... ox.3oo. ...&#x ♦ 1 3 0 | 0 3 3 0 0 | 0 0 3 0 1 0 0 0 | * * 64 * * * * | 0 1 1 0 0 .o.3.x.3.o. ... ♦ 0 6 0 | 0 0 12 0 0 | 0 0 0 4 4 0 0 0 | * * * 16 * * * | 0 1 0 1 0 .ox3.xo ... ...&#x ♦ 0 3 3 | 0 0 3 6 3 | 0 0 0 1 0 3 3 1 | * * * * 32 * * | 0 0 0 2 0 ... .xo3.oo ...&#x ♦ 0 3 1 | 0 0 3 3 0 | 0 0 0 0 1 0 3 0 | * * * * * 64 * | 0 0 1 1 0 ..x3..o3..o ... ♦ 0 0 4 | 0 0 0 0 6 | 0 0 0 0 0 0 0 4 | * * * * * * 16 | 0 0 0 1 1 --------------------+--------+----------------+-------------------------+----------------------+------------ x..3o..3o..4o.. ♦ 8 0 0 | 24 0 0 0 0 | 32 0 0 0 0 0 0 0 | 16 0 0 0 0 0 0 | 1 * * * * xo.3ox.3oo. ...&#x ♦ 4 6 0 | 6 12 12 0 0 | 4 6 12 4 4 0 0 0 | 1 4 4 1 0 0 0 | * 16 * * * ... oxo3ooo4ooo&#xt ♦ 1 6 1 | 0 6 12 6 0 | 0 0 12 0 8 0 12 0 | 0 0 8 0 0 8 0 | * * 8 * * .ox3.xo3.oo ...&#x ♦ 0 6 4 | 0 0 12 12 6 | 0 0 0 4 4 6 12 4 | 0 0 0 1 4 4 1 | * * * 16 * ..x3..o3..o4..o ♦ 0 0 8 | 0 0 0 0 24 | 0 0 0 0 0 0 0 32 | 0 0 0 0 0 0 16 | * * * * 1
or o..3o..3o..4o.. & | 16 * ♦ 6 6 0 | 12 6 12 0 0 | 8 12 8 0 | 1 8 1 .o.3.o.3.o.4.o. | * 24 ♦ 0 4 8 | 0 2 16 4 8 | 0 8 16 4 | 0 8 2 ---------------------+-------+----------+-----------------+--------------+------- x.. ... ... ... & | 2 0 | 48 * * ♦ 4 1 0 0 0 | 4 4 0 0 | 1 4 0 oo.3oo.3oo.4oo.&#x & | 1 1 | * 96 * ♦ 0 1 4 0 0 | 0 4 4 0 | 0 4 1 ... .x. ... ... | 0 2 | * * 96 ♦ 0 0 2 1 2 | 0 2 4 2 | 0 4 1 ---------------------+-------+----------+-----------------+--------------+------- x..3o.. ... ... & | 3 0 | 3 0 0 | 64 * * * * | 2 1 0 0 | 1 2 0 xo. ... ... ...&#x & | 2 1 | 1 2 0 | * 48 * * * | 0 4 0 0 | 0 4 0 ... ox. ... ...&#x & | 1 2 | 0 2 1 | * * 192 * * | 0 1 2 0 | 0 2 1 .o.3.x. ... ... | 0 3 | 0 0 3 | * * * 32 * | 0 2 0 2 | 0 4 0 ... .x.3.o. ... | 0 3 | 0 0 3 | * * * * 64 | 0 0 2 1 | 0 2 1 ---------------------+-------+----------+-----------------+--------------+------- x..3o..3o.. ... & ♦ 4 0 | 6 0 0 | 4 0 0 0 0 | 32 * * * | 1 1 0 xo.3ox. ... ...&#x & ♦ 3 3 | 3 6 3 | 1 3 3 1 0 | * 64 * * | 0 2 0 ... ox.3oo. ...&#x & ♦ 1 3 | 0 3 3 | 0 0 3 0 1 | * * 128 * | 0 1 1 .o.3.x.3.o. ... ♦ 0 6 | 0 0 12 | 0 0 0 4 4 | * * * 16 | 0 2 0 ---------------------+-------+----------+-----------------+--------------+------- x..3o..3o..4o.. & ♦ 8 0 | 24 0 0 | 32 0 0 0 0 | 16 0 0 0 | 2 * * xo.3ox.3oo. ...&#x & ♦ 4 6 | 6 12 12 | 4 6 12 4 4 | 1 4 4 1 | * 32 * ... oxo3ooo4ooo&#xt ♦ 2 6 | 0 12 12 | 0 0 24 0 8 | 0 0 16 0 | * * 8
ooo3oxo3ooo *b3xox&#xt → both heights = 1/sqrt(2) = 0.707107 (hex || pseudo ico || hex) o..3o..3o.. *b3o.. | 8 * * ♦ 6 6 0 0 0 | 12 12 6 0 0 0 0 0 0 | 4 4 4 4 12 0 0 0 0 0 0 0 | 1 4 4 1 0 0 0 .o.3.o.3.o. *b3.o. | * 24 * ♦ 0 2 8 2 0 | 0 8 1 4 4 4 8 1 0 | 0 0 4 4 4 2 2 4 4 4 0 0 | 0 2 2 2 2 2 0 ..o3..o3..o *b3..o | * * 8 ♦ 0 0 0 6 6 | 0 0 0 0 0 0 12 6 12 | 0 0 0 0 0 0 0 4 4 12 4 4 | 0 0 0 1 4 4 1 -----------------------+--------+----------------+----------------------------+-------------------------------+-------------- ... ... ... x.. | 2 0 0 | 24 * * * * ♦ 4 0 1 0 0 0 0 0 0 | 2 2 0 0 4 0 0 0 0 0 0 0 | 1 2 2 0 0 0 0 oo.3oo.3oo. *b3oo.&#x | 1 1 0 | * 48 * * * ♦ 0 4 1 0 0 0 0 0 0 | 0 0 2 2 4 0 0 0 0 0 0 0 | 0 2 2 1 0 0 0 ... .x. ... ... | 0 2 0 | * * 96 * * ♦ 0 1 0 1 1 1 1 0 0 | 0 0 1 1 1 1 1 1 1 1 0 0 | 0 1 1 1 1 1 0 .oo3.oo3.oo *b3.oo&#x | 0 1 1 | * * * 48 * ♦ 0 0 0 0 0 0 4 1 0 | 0 0 0 0 0 0 0 2 2 4 0 0 | 0 0 0 1 2 2 0 ... ... ... ..x | 0 0 2 | * * * * 24 ♦ 0 0 0 0 0 0 0 1 4 | 0 0 0 0 0 0 0 0 0 4 2 2 | 0 0 0 0 2 2 1 -----------------------+--------+----------------+----------------------------+-------------------------------+-------------- ... o.. ... *b3x.. | 3 0 0 | 3 0 0 0 0 | 32 * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 0 0 | 1 1 1 0 0 0 0 ... ox. ... ...&#x | 1 2 0 | 0 2 1 0 0 | * 96 * * * * * * * | 0 0 1 1 1 0 0 0 0 0 0 0 | 0 1 1 1 0 0 0 ... ... ... xo.&#x | 2 1 0 | 1 2 0 0 0 | * * 24 * * * * * * | 0 0 0 0 4 0 0 0 0 0 0 0 | 0 2 2 0 0 0 0 .o.3.x. ... ... | 0 3 0 | 0 0 3 0 0 | * * * 32 * * * * * | 0 0 1 0 0 1 0 1 0 0 0 0 | 0 1 0 1 1 0 0 ... .x.3.o. ... | 0 3 0 | 0 0 3 0 0 | * * * * 32 * * * * | 0 0 0 1 0 0 1 0 1 0 0 0 | 0 0 1 1 0 1 0 ... .x. ... *b3.o. | 0 3 0 | 0 0 3 0 0 | * * * * * 32 * * * | 0 0 0 0 1 1 1 0 0 1 0 0 | 0 1 1 0 1 1 0 ... .xo ... ...&#x | 0 2 1 | 0 0 1 2 0 | * * * * * * 96 * * | 0 0 0 0 0 0 0 1 1 1 0 0 | 0 0 0 1 1 1 0 ... ... ... .ox&#x | 0 1 2 | 0 0 0 2 1 | * * * * * * * 24 * | 0 0 0 0 0 0 0 0 0 4 0 0 | 0 0 0 0 2 2 0 ... ..o ... *b3..x | 0 0 3 | 0 0 0 0 3 | * * * * * * * * 32 | 0 0 0 0 0 0 0 0 0 1 1 1 | 0 0 0 0 1 1 1 -----------------------+--------+----------------+----------------------------+-------------------------------+-------------- o..3o.. ... *b3x.. ♦ 4 0 0 | 6 0 0 0 0 | 4 0 0 0 0 0 0 0 0 | 8 * * * * * * * * * * * | 1 1 0 0 0 0 0 ... o..3o.. *b3x.. ♦ 4 0 0 | 6 0 0 0 0 | 4 0 0 0 0 0 0 0 0 | * 8 * * * * * * * * * * | 1 0 1 0 0 0 0 oo.3ox. ... ...&#x ♦ 1 3 0 | 0 3 3 0 0 | 0 3 0 1 0 0 0 0 0 | * * 32 * * * * * * * * * | 0 1 0 1 0 0 0 ... ox.3oo. ...&#x ♦ 1 3 0 | 0 3 3 0 0 | 0 3 0 0 1 0 0 0 0 | * * * 32 * * * * * * * * | 0 0 1 1 0 0 0 ... ox. ... *b3xo.&#x ♦ 3 3 0 | 3 6 3 0 0 | 1 3 3 0 0 1 0 0 0 | * * * * 32 * * * * * * * | 0 1 1 0 0 0 0 .o.3.x. ... *b3.o. ♦ 0 6 0 | 0 0 12 0 0 | 0 0 0 4 0 4 0 0 0 | * * * * * 8 * * * * * * | 0 1 0 0 1 0 0 ... .x.3.o. *b3.o. ♦ 0 6 0 | 0 0 12 0 0 | 0 0 0 0 4 4 0 0 0 | * * * * * * 8 * * * * * | 0 0 1 0 0 1 0 .oo3.xo ... ...&#x ♦ 0 3 1 | 0 0 3 3 0 | 0 0 0 1 0 0 3 0 0 | * * * * * * * 32 * * * * | 0 0 0 1 1 0 0 ... .xo3.oo ...&#x ♦ 0 3 1 | 0 0 3 3 0 | 0 0 0 0 1 0 3 0 0 | * * * * * * * * 32 * * * | 0 0 0 1 0 1 0 ... .xo ... *b3.ox&#x ♦ 0 3 3 | 0 0 3 6 3 | 0 0 0 0 0 1 3 3 1 | * * * * * * * * * 32 * * | 0 0 0 0 1 1 0 ..o3..o ... *b3..x ♦ 0 0 4 | 0 0 0 0 6 | 0 0 0 0 0 0 0 0 4 | * * * * * * * * * * 8 * | 0 0 0 0 1 0 1 ... ..o3..o *b3..x ♦ 0 0 4 | 0 0 0 0 6 | 0 0 0 0 0 0 0 0 4 | * * * * * * * * * * * 8 | 0 0 0 0 0 1 1 -----------------------+--------+----------------+----------------------------+-------------------------------+-------------- o..3o..3o.. *b3x.. ♦ 8 0 0 | 24 0 0 0 0 | 32 0 0 0 0 0 0 0 0 | 8 8 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * oo.3ox. ... *b3xo.&#x ♦ 4 6 0 | 6 12 12 0 0 | 4 12 6 4 0 4 0 0 0 | 1 0 4 0 4 1 0 0 0 0 0 0 | * 8 * * * * * ... ox.3oo. *b3xo.&#x ♦ 4 6 0 | 6 12 12 0 0 | 4 12 6 0 4 4 0 0 0 | 0 1 0 4 4 0 1 0 0 0 0 0 | * * 8 * * * * ooo3oxo3ooo ...&#xt ♦ 1 6 1 | 0 6 12 6 0 | 0 12 0 4 4 0 12 0 0 | 0 0 4 4 0 0 0 4 4 0 0 0 | * * * 8 * * * .oo3.xo ... *b3.ox&#x ♦ 0 6 4 | 0 0 12 12 6 | 0 0 0 4 0 4 12 6 4 | 0 0 0 0 0 1 0 4 0 4 1 0 | * * * * 8 * * ... .xo3.oo *b3.ox&#x ♦ 0 6 4 | 0 0 12 12 6 | 0 0 0 0 4 4 12 6 4 | 0 0 0 0 0 0 1 0 4 4 0 1 | * * * * * 8 * ..o3..o3..o *b3..x ♦ 0 0 8 | 0 0 0 0 24 | 0 0 0 0 0 0 0 0 32 | 0 0 0 0 0 0 0 0 0 0 8 8 | * * * * * * 1
or o..3o..3o.. *b3o.. & | 16 * ♦ 6 6 0 | 12 12 6 0 0 0 | 4 4 4 4 12 0 0 | 1 4 4 1 .o.3.o.3.o. *b3.o. | * 24 ♦ 0 4 8 | 0 16 2 4 4 4 | 0 0 8 8 8 2 2 | 0 4 4 2 -------------------------+-------+----------+--------------------+--------------------+---------- ... ... ... x.. & | 2 0 | 48 * * ♦ 4 0 1 0 0 0 | 2 2 0 0 4 0 0 | 1 2 2 0 oo.3oo.3oo. *b3oo.&#x & | 1 1 | * 96 * ♦ 0 4 1 0 0 0 | 0 0 2 2 4 0 0 | 0 2 2 1 ... .x. ... ... | 0 2 | * * 96 ♦ 0 2 0 1 1 1 | 0 0 2 2 2 1 1 | 0 2 2 1 -------------------------+-------+----------+--------------------+--------------------+---------- ... o.. ... *b3x.. & | 3 0 | 3 0 0 | 64 * * * * * | 1 1 0 0 1 0 0 | 1 1 1 0 ... ox. ... ...&#x & | 1 2 | 0 2 1 | * 192 * * * * | 0 0 1 1 1 0 0 | 0 1 1 1 ... ... ... xo.&#x & | 2 1 | 1 2 0 | * * 48 * * * | 0 0 0 0 4 0 0 | 0 2 2 0 .o.3.x. ... ... | 0 3 | 0 0 3 | * * * 32 * * | 0 0 2 0 0 1 0 | 0 2 0 1 ... .x.3.o. ... | 0 3 | 0 0 3 | * * * * 32 * | 0 0 0 2 0 0 1 | 0 0 2 1 ... .x. ... *b3.o. | 0 3 | 0 0 3 | * * * * * 32 | 0 0 0 0 2 1 1 | 0 2 2 0 -------------------------+-------+----------+--------------------+--------------------+---------- o..3o.. ... *b3x.. & ♦ 4 0 | 6 0 0 | 4 0 0 0 0 0 | 16 * * * * * * | 1 1 0 0 ... o..3o.. *b3x.. & ♦ 4 0 | 6 0 0 | 4 0 0 0 0 0 | * 16 * * * * * | 1 0 1 0 oo.3ox. ... ...&#x & ♦ 1 3 | 0 3 3 | 0 3 0 1 0 0 | * * 64 * * * * | 0 1 0 1 ... ox.3oo. ...&#x & ♦ 1 3 | 0 3 3 | 0 3 0 0 1 0 | * * * 64 * * * | 0 0 1 1 ... ox. ... *b3xo.&#x & ♦ 3 3 | 3 6 3 | 1 3 3 0 0 1 | * * * * 64 * * | 0 1 1 0 .o.3.x. ... *b3.o. ♦ 0 6 | 0 0 12 | 0 0 0 4 0 4 | * * * * * 8 * | 0 2 0 0 ... .x.3.o. *b3.o. ♦ 0 6 | 0 0 12 | 0 0 0 0 4 4 | * * * * * * 8 | 0 0 2 0 -------------------------+-------+----------+--------------------+--------------------+---------- o..3o..3o.. *b3x.. & ♦ 8 0 | 24 0 0 | 32 0 0 0 0 0 | 8 8 0 0 0 0 0 | 2 * * * oo.3ox. ... *b3xo.&#x & ♦ 4 6 | 6 12 12 | 4 12 6 4 0 4 | 1 0 4 0 4 1 0 | * 16 * * ... ox.3oo. *b3xo.&#x & ♦ 4 6 | 6 12 12 | 4 12 6 0 4 4 | 0 1 0 4 4 0 1 | * * 16 * ooo3oxo3ooo ...&#xt ♦ 2 6 | 0 12 12 | 0 24 0 4 4 0 | 0 0 8 8 0 0 0 | * * * 8
or o..3o..3o.. *b3o.. & | 16 * ♦ 6 6 0 | 12 12 6 0 0 | 4 4 4 4 12 0 | 1 4 4 1 .o.3.o.3.o. *b3.o. | * 24 ♦ 0 4 8 | 0 16 2 8 4 | 0 0 8 8 8 4 | 0 4 4 2 -------------------------+-------+----------+-----------------+-------------------+---------- ... ... ... x.. & | 2 0 | 48 * * ♦ 4 0 1 0 0 | 2 2 0 0 4 0 | 1 2 2 0 oo.3oo.3oo. *b3oo.&#x & | 1 1 | * 96 * ♦ 0 4 1 0 0 | 0 0 2 2 4 0 | 0 2 2 1 ... .x. ... ... | 0 2 | * * 96 ♦ 0 2 0 2 1 | 0 0 2 2 2 2 | 0 2 2 1 -------------------------+-------+----------+-----------------+-------------------+---------- ... o.. ... *b3x.. & | 3 0 | 3 0 0 | 64 * * * * | 1 1 0 0 1 0 | 1 1 1 0 ... ox. ... ...&#x & | 1 2 | 0 2 1 | * 192 * * * | 0 0 1 1 1 0 | 0 1 1 1 ... ... ... xo.&#x & | 2 1 | 1 2 0 | * * 48 * * | 0 0 0 0 4 0 | 0 2 2 0 .o.3.x. ... ... & | 0 3 | 0 0 3 | * * * 64 * | 0 0 1 1 0 1 | 0 1 1 1 ... .x. ... *b3.o. | 0 3 | 0 0 3 | * * * * 32 | 0 0 0 0 2 2 | 0 2 2 0 -------------------------+-------+----------+-----------------+-------------------+---------- o..3o.. ... *b3x.. & ♦ 4 0 | 6 0 0 | 4 0 0 0 0 | 16 * * * * * | 1 1 0 0 ... o..3o.. *b3x.. & ♦ 4 0 | 6 0 0 | 4 0 0 0 0 | * 16 * * * * | 1 0 1 0 oo.3ox. ... ...&#x & ♦ 1 3 | 0 3 3 | 0 3 0 1 0 | * * 64 * * * | 0 1 0 1 ... ox.3oo. ...&#x & ♦ 1 3 | 0 3 3 | 0 3 0 1 0 | * * * 64 * * | 0 0 1 1 ... ox. ... *b3xo.&#x & ♦ 3 3 | 3 6 3 | 1 3 3 0 1 | * * * * 64 * | 0 1 1 0 .o.3.x. ... *b3.o. & ♦ 0 6 | 0 0 12 | 0 0 0 4 4 | * * * * * 16 | 0 1 1 0 -------------------------+-------+----------+-----------------+-------------------+---------- o..3o..3o.. *b3x.. & ♦ 8 0 | 24 0 0 | 32 0 0 0 0 | 8 8 0 0 0 0 | 2 * * * oo.3ox. ... *b3xo.&#x & ♦ 4 6 | 6 12 12 | 4 12 6 4 4 | 1 0 4 0 4 1 | * 16 * * ... ox.3oo. *b3xo.&#x & ♦ 4 6 | 6 12 12 | 4 12 6 4 4 | 0 1 0 4 4 1 | * * 16 * ooo3oxo3ooo ...&#xt ♦ 2 6 | 0 12 12 | 0 24 0 8 0 | 0 0 8 8 0 0 | * * * 8
oxo3xoo3oox3oxo&#xt → both heights = sqrt(2/5) = 0.632456 (rap || pseudo spid || inv rap) o..3o..3o..3o.. | 10 * * ♦ 6 6 0 0 0 0 | 3 6 3 12 6 0 0 0 0 0 0 0 | 3 2 6 3 6 2 3 0 0 0 0 0 0 0 0 | 1 3 2 3 1 0 0 0 .o.3.o.3.o.3.o. | * 20 * ♦ 0 3 3 3 3 0 | 0 0 3 3 6 3 3 6 3 3 0 0 | 0 0 3 1 3 3 6 1 1 3 3 1 3 0 0 | 0 1 1 3 3 1 1 0 ..o3..o3..o3..o | * * 10 ♦ 0 0 0 0 6 6 | 0 0 0 0 0 0 0 6 12 3 6 3 | 0 0 0 0 0 0 3 0 0 2 6 6 6 2 3 | 0 0 0 1 3 2 3 1 --------------------+----------+-------------------+-------------------------------------+----------------------------------------+------------------ ... x.. ... ... | 2 0 0 | 30 * * * * * ♦ 1 2 0 2 0 0 0 0 0 0 0 0 | 2 1 2 2 1 0 0 0 0 0 0 0 0 0 0 | 1 2 1 1 0 0 0 0 oo.3oo.3oo.3oo.&#x | 1 1 0 | * 60 * * * * ♦ 0 0 1 2 2 0 0 0 0 0 0 0 | 0 0 2 1 2 1 2 0 0 0 0 0 0 0 0 | 0 1 1 2 1 0 0 0 .x. ... ... ... | 0 2 0 | * * 30 * * * ♦ 0 0 1 0 0 2 0 2 0 0 0 0 | 0 0 2 0 0 0 2 1 0 2 1 0 0 0 0 | 0 1 0 2 1 1 0 0 ... ... ... .x. | 0 2 0 | * * * 30 * * ♦ 0 0 0 0 2 0 2 0 0 1 0 0 | 0 0 0 0 1 2 2 0 1 0 0 0 2 0 0 | 0 0 1 1 2 0 1 0 .oo3.oo3.oo3.oo&#x | 0 1 1 | * * * * 60 * ♦ 0 0 0 0 0 0 0 2 2 1 0 0 | 0 0 0 0 0 0 2 0 0 1 2 1 2 0 0 | 0 0 0 1 2 1 1 0 ... ... ..x ... | 0 0 2 | * * * * * 30 ♦ 0 0 0 0 0 0 0 0 2 0 2 1 | 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 | 0 0 0 0 1 1 2 1 --------------------+----------+-------------------+-------------------------------------+----------------------------------------+------------------ o..3x.. ... ... | 3 0 0 | 3 0 0 0 0 0 | 10 * * * * * * * * * * * | 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 | 1 2 0 1 0 0 0 0 ... x..3o.. ... | 3 0 0 | 3 0 0 0 0 0 | * 20 * * * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 0 0 ox. ... ... ...&#x | 1 2 0 | 0 2 1 0 0 0 | * * 30 * * * * * * * * * | 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 | 0 1 0 2 1 0 0 0 ... xo. ... ...&#x | 2 1 0 | 1 2 0 0 0 0 | * * * 60 * * * * * * * * | 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0 0 0 ... ... ... ox.&#x | 1 2 0 | 0 2 0 1 0 0 | * * * * 60 * * * * * * * | 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 | 0 0 1 1 1 0 0 0 .x.3.o. ... ... | 0 3 0 | 0 0 3 0 0 0 | * * * * * 20 * * * * * * | 0 0 1 0 0 0 0 1 0 1 0 0 0 0 0 | 0 1 0 1 0 1 0 0 ... ... .o.3.x. | 0 3 0 | 0 0 0 3 0 0 | * * * * * * 20 * * * * * | 0 0 0 0 0 1 0 0 1 0 0 0 1 0 0 | 0 0 1 0 1 0 1 0 .xo ... ... ...&#x | 0 2 1 | 0 0 1 0 2 0 | * * * * * * * 60 * * * * | 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 | 0 0 0 1 1 1 0 0 ... ... .ox ...&#x | 0 1 2 | 0 0 0 0 2 1 | * * * * * * * * 60 * * * | 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 | 0 0 0 0 1 1 1 0 ... ... ... .xo&#x | 0 2 1 | 0 0 0 1 2 0 | * * * * * * * * * 30 * * | 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 | 0 0 0 1 2 0 1 0 ... ..o3..x ... | 0 0 3 | 0 0 0 0 0 3 | * * * * * * * * * * 20 * | 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 | 0 0 0 0 0 1 1 1 ... ... ..x3..o | 0 0 3 | 0 0 0 0 0 3 | * * * * * * * * * * * 10 | 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 | 0 0 0 0 1 0 2 1 --------------------+----------+-------------------+-------------------------------------+----------------------------------------+------------------ o..3x..3o.. ... ♦ 6 0 0 | 12 0 0 0 0 0 | 4 4 0 0 0 0 0 0 0 0 0 0 | 5 * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 ... x..3o..3o.. ♦ 4 0 0 | 6 0 0 0 0 0 | 0 4 0 0 0 0 0 0 0 0 0 0 | * 5 * * * * * * * * * * * * * | 1 0 1 0 0 0 0 0 ox.3xo. ... ...&#x ♦ 3 3 0 | 3 6 3 0 0 0 | 1 0 3 3 0 1 0 0 0 0 0 0 | * * 20 * * * * * * * * * * * * | 0 1 0 1 0 0 0 0 ... xo.3oo. ...&#x ♦ 3 1 0 | 3 3 0 0 0 0 | 0 1 0 3 0 0 0 0 0 0 0 0 | * * * 20 * * * * * * * * * * * | 0 1 1 0 0 0 0 0 ... xo. ... ox.&#x ♦ 2 2 0 | 1 4 0 1 0 0 | 0 0 0 2 2 0 0 0 0 0 0 0 | * * * * 30 * * * * * * * * * * | 0 0 1 1 0 0 0 0 ... ... oo.3ox.&#x ♦ 1 3 0 | 0 3 0 3 0 0 | 0 0 0 0 3 0 1 0 0 0 0 0 | * * * * * 20 * * * * * * * * * | 0 0 1 0 1 0 0 0 oxo ... ... oxo&#xt ♦ 1 4 1 | 0 4 2 2 4 0 | 0 0 2 0 2 0 0 2 0 2 0 0 | * * * * * * 30 * * * * * * * * | 0 0 0 1 1 0 0 0 .x.3.o.3.o. ... ♦ 0 4 0 | 0 0 6 0 0 0 | 0 0 0 0 0 4 0 0 0 0 0 0 | * * * * * * * 5 * * * * * * * | 0 1 0 0 0 1 0 0 ... .o.3.o.3.x. ♦ 0 4 0 | 0 0 0 6 0 0 | 0 0 0 0 0 0 4 0 0 0 0 0 | * * * * * * * * 5 * * * * * * | 0 0 1 0 0 0 1 0 .xo3.oo ... ...&#x ♦ 0 3 1 | 0 0 3 0 3 0 | 0 0 0 0 0 1 0 3 0 0 0 0 | * * * * * * * * * 20 * * * * * | 0 0 0 1 0 1 0 0 .xo ... .ox ...&#x ♦ 0 2 2 | 0 0 1 0 4 1 | 0 0 0 0 0 0 0 2 2 0 0 0 | * * * * * * * * * * 30 * * * * | 0 0 0 0 1 1 0 0 ... .oo3.ox ...&#x ♦ 0 1 3 | 0 0 0 0 3 3 | 0 0 0 0 0 0 0 0 3 0 1 0 | * * * * * * * * * * * 20 * * * | 0 0 0 0 0 1 1 0 ... ... .ox3.xo&#x ♦ 0 3 3 | 0 0 0 3 6 3 | 0 0 0 0 0 0 1 0 3 3 0 1 | * * * * * * * * * * * * 20 * * | 0 0 0 0 1 0 1 0 ..o3..o3..x ... ♦ 0 0 4 | 0 0 0 0 0 6 | 0 0 0 0 0 0 0 0 0 0 4 0 | * * * * * * * * * * * * * 5 * | 0 0 0 0 0 1 0 1 ... ..o3..x3..o ♦ 0 0 6 | 0 0 0 0 0 12 | 0 0 0 0 0 0 0 0 0 0 4 4 | * * * * * * * * * * * * * * 5 | 0 0 0 0 0 0 1 1 --------------------+----------+-------------------+-------------------------------------+----------------------------------------+------------------ o..3x..3o..3o.. ♦ 10 0 0 | 30 0 0 0 0 0 | 10 20 0 0 0 0 0 0 0 0 0 0 | 5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * ox.3xo.3oo. ...&#x ♦ 6 4 0 | 12 12 6 0 0 0 | 4 4 6 12 0 4 0 0 0 0 0 0 | 1 0 4 4 0 0 0 1 0 0 0 0 0 0 0 | * 5 * * * * * * ... xo.3oo.3ox.&#x ♦ 4 4 0 | 6 12 0 6 0 0 | 0 4 0 12 12 0 4 0 0 0 0 0 | 0 1 0 4 6 4 0 0 1 0 0 0 0 0 0 | * * 5 * * * * * oxo3xoo ... oxo&#xt ♦ 3 6 1 | 3 12 6 3 6 0 | 1 0 6 6 6 2 0 6 0 3 0 0 | 0 0 2 0 3 0 3 0 0 2 0 0 0 0 0 | * * * 10 * * * * oxo ... oox3oxo&#xt ♦ 1 6 3 | 0 6 3 6 12 3 | 0 0 3 0 6 0 2 6 6 6 0 1 | 0 0 0 0 0 2 3 0 0 0 3 0 2 0 0 | * * * * 10 * * * .xo3.oo3.ox ...&#x ♦ 0 4 4 | 0 0 6 0 12 6 | 0 0 0 0 0 4 0 12 12 0 4 0 | 0 0 0 0 0 0 0 1 0 4 6 4 0 1 0 | * * * * * 5 * * ... .oo3.ox3.xo&#x ♦ 0 4 6 | 0 0 0 6 12 12 | 0 0 0 0 0 0 4 0 12 6 4 4 | 0 0 0 0 0 0 0 0 1 0 0 4 4 0 1 | * * * * * * 5 * ..o3..o3..x3..o ♦ 0 0 10 | 0 0 0 0 0 30 | 0 0 0 0 0 0 0 0 0 0 20 10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 5 5 | * * * * * * * 1
or o..3o..3o..3o.. & | 20 * ♦ 6 6 0 | 3 6 3 12 6 0 | 3 2 6 6 6 2 3 0 | 1 3 2 4 .o.3.o.3.o.3.o. | * 20 ♦ 0 6 6 | 0 0 6 6 12 6 | 0 0 6 2 6 6 6 2 | 0 2 2 6 ----------------------+-------+-----------+---------------------+-------------------------+----------- ... x.. ... ... & | 2 0 | 60 * * ♦ 1 2 0 2 0 0 | 2 1 2 2 1 0 0 0 | 1 2 1 1 oo.3oo.3oo.3oo.&#x & | 1 1 | * 120 * ♦ 0 0 1 2 2 0 | 0 0 2 1 2 1 2 0 | 0 1 1 3 .x. ... ... ... & | 0 2 | * * 60 ♦ 0 0 1 0 2 2 | 0 0 2 0 1 2 2 1 | 0 1 1 3 ----------------------+-------+-----------+---------------------+-------------------------+----------- o..3x.. ... ... & | 3 0 | 3 0 0 | 20 * * * * * | 2 0 2 0 0 0 0 0 | 1 2 0 1 ... x..3o.. ... & | 3 0 | 3 0 0 | * 40 * * * * | 1 1 0 1 0 0 0 0 | 1 1 1 0 ox. ... ... ...&#x & | 1 2 | 0 2 1 | * * 60 * * * | 0 0 2 0 0 0 2 0 | 0 1 0 3 ... xo. ... ...&#x & | 2 1 | 1 2 0 | * * * 120 * * | 0 0 1 1 1 0 0 0 | 0 1 1 1 ... ... ... ox.&#x & | 1 2 | 0 2 1 | * * * * 120 * | 0 0 0 0 1 1 1 0 | 0 0 1 2 .x.3.o. ... ... & | 0 3 | 0 0 3 | * * * * * 40 | 0 0 1 0 0 1 0 1 | 0 1 1 1 ----------------------+-------+-----------+---------------------+-------------------------+----------- o..3x..3o.. ... & ♦ 6 0 | 12 0 0 | 4 4 0 0 0 0 | 10 * * * * * * * | 1 1 0 0 ... x..3o..3o.. & ♦ 4 0 | 6 0 0 | 0 4 0 0 0 0 | * 10 * * * * * * | 1 0 1 0 ox.3xo. ... ...&#x & ♦ 3 3 | 3 6 3 | 1 0 3 3 0 1 | * * 40 * * * * * | 0 1 0 1 ... xo.3oo. ...&#x & ♦ 3 1 | 3 3 0 | 0 1 0 3 0 0 | * * * 40 * * * * | 0 1 1 0 ... xo. ... ox.&#x & ♦ 2 2 | 1 4 1 | 0 0 0 2 2 0 | * * * * 60 * * * | 0 0 1 1 ... ... oo.3ox.&#x & ♦ 1 3 | 0 3 3 | 0 0 0 0 3 1 | * * * * * 40 * * | 0 0 1 1 oxo ... ... oxo&#xt ♦ 2 4 | 0 8 4 | 0 0 4 0 4 0 | * * * * * * 30 * | 0 0 0 2 .x.3.o.3.o. ... & ♦ 0 4 | 0 0 6 | 0 0 0 0 0 4 | * * * * * * * 10 | 0 1 1 0 ----------------------+-------+-----------+---------------------+-------------------------+----------- o..3x..3o..3o.. & ♦ 10 0 | 30 0 0 | 10 20 0 0 0 0 | 5 5 0 0 0 0 0 0 | 2 * * * ox.3xo.3oo. ...&#x & ♦ 6 4 | 12 12 6 | 4 4 6 12 0 4 | 1 0 4 4 0 0 0 1 | * 10 * * ... xo.3oo.3ox.&#x & ♦ 4 4 | 6 12 6 | 0 4 0 12 12 4 | 0 1 0 4 6 4 0 1 | * * 10 * oxo3xoo ... oxo&#xt & ♦ 4 6 | 3 18 9 | 1 0 9 6 12 2 | 0 0 2 0 3 2 3 0 | * * * 20
qo xo3ox3oo4oo&#zx → height = 0 o. o.3o.3o.4o. | 16 * ♦ 6 6 0 | 12 6 12 0 0 | 8 12 8 0 | 1 1 8 .o .o3.o3.o4.o | * 24 ♦ 0 4 8 | 0 2 16 4 8 | 0 8 16 4 | 0 2 8 -------------------+-------+----------+-----------------+--------------+------- .. x. .. .. .. | 2 0 | 48 * * ♦ 4 1 0 0 0 | 4 4 0 0 | 1 0 4 oo oo3oo3oo4oo&#x | 1 1 | * 96 * ♦ 0 1 4 0 0 | 0 4 4 0 | 0 1 4 .. .. .x .. .. | 0 2 | * * 96 ♦ 0 0 2 1 2 | 0 2 4 2 | 0 1 4 -------------------+-------+----------+-----------------+--------------+------- .. x.3o. .. .. | 3 0 | 3 0 0 | 64 * * * * | 2 1 0 0 | 1 0 2 .. xo .. .. ..&#x | 2 1 | 1 2 0 | * 48 * * * | 0 4 0 0 | 0 0 4 .. .. ox .. ..&#x | 1 2 | 0 2 1 | * * 192 * * | 0 1 2 0 | 0 1 2 .. .o3.x .. .. | 0 3 | 0 0 3 | * * * 32 * | 0 2 0 2 | 0 0 4 .. .. .x3.o .. | 0 3 | 0 0 3 | * * * * 64 | 0 0 2 1 | 0 1 2 -------------------+-------+----------+-----------------+--------------+------- .. x.3o.3o. .. ♦ 4 0 | 6 0 0 | 4 0 0 0 0 | 32 * * * | 1 0 1 .. xo3ox .. ..&#x ♦ 3 3 | 3 6 3 | 1 3 3 1 0 | * 64 * * | 0 0 2 .. .. ox3oo ..&#x ♦ 1 3 | 0 3 3 | 0 0 3 0 1 | * * 128 * | 0 1 1 .. .o3.x3.o .. ♦ 0 6 | 0 0 12 | 0 0 0 4 4 | * * * 16 | 0 0 2 -------------------+-------+----------+-----------------+--------------+------- .. x.3o.3o.4o. ♦ 8 0 | 24 0 0 | 32 0 0 0 0 | 16 0 0 0 | 2 * * qo .. ox3oo4oo&#zx ♦ 2 6 | 0 12 12 | 0 0 24 0 8 | 0 0 16 0 | * 8 * .. xo3ox3oo ..&#x ♦ 4 6 | 6 12 12 | 4 6 12 4 4 | 1 4 4 1 | * * 32
qoo4oxo oxo3oox4ooo&#zxt → heights = 0 o..4o.. o..3o..4o.. | 4 * * ♦ 12 0 0 0 0 | 6 24 0 0 0 0 0 | 12 16 0 0 | 2 8 0 .o.4.o. .o.3.o.4.o. | * 24 * ♦ 2 2 4 4 0 | 2 8 4 8 4 4 0 | 8 8 8 4 | 1 8 1 ..o4..o ..o3..o4..o | * * 12 ♦ 0 0 0 8 4 | 0 0 0 8 4 16 2 | 4 0 16 8 | 0 8 2 -------------------------+---------+----------------+---------------------+-------------+------- oo.4oo. oo.3oo.4oo.&#x | 1 1 0 | 48 * * * * ♦ 1 4 0 0 0 0 0 | 4 4 0 0 | 1 4 0 ... .x. ... ... ... | 0 2 0 | * 24 * * * ♦ 1 0 0 4 0 0 0 | 4 0 4 0 | 0 4 1 ... ... .x. ... ... | 0 2 0 | * * 48 * * ♦ 0 2 2 0 1 0 0 | 2 4 0 2 | 1 4 0 .oo4.oo .oo3.oo4.oo&#x | 0 1 1 | * * * 96 * ♦ 0 0 0 2 1 2 0 | 2 0 4 2 | 0 4 1 ... ... ... ..x ... | 0 0 2 | * * * * 24 ♦ 0 0 0 0 0 4 1 | 0 0 4 4 | 0 4 1 -------------------------+---------+----------------+---------------------+-------------+------- ... ox. ... ... ...&#x | 1 2 0 | 2 1 0 0 0 | 24 * * * * * * | 4 0 0 0 | 0 4 0 ... ... ox. ... ...&#x | 1 2 0 | 2 0 1 0 0 | * 96 * * * * * | 1 2 0 0 | 1 2 0 ... ... .x.3.o. ... | 0 3 0 | 0 0 3 0 0 | * * 32 * * * * | 0 2 0 1 | 1 2 0 ... .xo ... ... ...&#x | 0 2 1 | 0 1 0 2 0 | * * * 96 * * * | 1 0 2 0 | 0 2 1 ... ... .xo ... ...&#x | 0 2 1 | 0 0 1 2 0 | * * * * 48 * * | 2 0 0 2 | 0 4 0 ... ... ... .ox ...&#x | 0 1 2 | 0 0 0 2 1 | * * * * * 96 * | 0 0 2 1 | 0 2 1 ... ... ..o3..x ... | 0 0 3 | 0 0 0 0 3 | * * * * * * 8 | 0 0 0 4 | 0 4 0 -------------------------+---------+----------------+---------------------+-------------+------- ... oxo oxo ... ...&#xt ♦ 1 4 1 | 4 2 2 4 0 | 2 2 0 2 2 0 0 | 48 * * * | 0 2 0 ... ... ox.3oo. ...&#x ♦ 1 3 0 | 3 0 3 0 0 | 0 3 1 0 0 0 0 | * 64 * * | 1 1 0 ... .xo ... .ox ...&#x ♦ 0 2 2 | 0 1 0 4 1 | 0 0 0 2 0 2 0 | * * 96 * | 0 1 1 ... ... .xo3.ox ...&#x ♦ 0 3 3 | 0 0 3 6 3 | 0 0 1 0 3 3 1 | * * * 32 | 0 2 0 -------------------------+---------+----------------+---------------------+-------------+------- qo. ... ox.3oo.4oo.&#zx ♦ 2 6 0 | 12 0 12 0 0 | 0 24 8 0 0 0 0 | 0 16 0 0 | 4 * * ... oxo oxo3oox ...&#xt ♦ 1 6 3 | 6 3 6 12 3 | 3 6 2 6 6 6 1 | 3 2 3 2 | * 32 * .oo4.xo ... .ox4.oo&#zx ♦ 0 4 4 | 0 4 0 16 4 | 0 0 0 16 0 16 0 | 0 0 16 0 | * * 6
ox(ou)xo ox(oo)xo3oo(xo)oo4oo(oo)oo&#xt → all heights = 1/2 (pt || pseudo ope || pseudo tegum product of co and u-line || pseudo ope || pt) o.(..).. o.(..)..3o.(..)..4o.(..).. & | 2 * * * ♦ 12 0 0 0 0 0 0 | 6 24 0 0 0 0 0 0 0 0 | 12 16 0 0 0 0 0 | 8 2 0 0 .o(..).. .o(..)..3.o(..)..4.o(..).. & | * 24 * * ♦ 1 1 4 4 1 1 0 | 1 4 4 4 4 4 4 4 1 0 | 4 4 4 4 4 4 4 | 4 1 1 4 ..(o.).. ..(o.)..3..(o.)..4..(o.).. | * * 12 * ♦ 0 0 0 8 0 0 4 | 0 0 0 4 4 16 0 4 0 2 | 2 0 8 8 0 2 8 | 4 0 2 4 ..(.o).. ..(.o)..3..(.o)..4..(.o).. | * * * 2 ♦ 0 0 0 0 12 0 0 | 0 0 0 0 0 0 24 0 6 0 | 0 0 0 0 16 12 0 | 0 2 0 8 ------------------------------------------+-----------+----------------------+------------------------------+----------------------+---------- oo(..).. oo(..)..3oo(..)..4oo(..)..&#x & | 1 1 0 0 | 24 * * * * * * ♦ 1 4 0 0 0 0 0 0 0 0 | 4 4 0 0 0 0 0 | 4 1 0 0 .x(..).. ..(..).. ..(..).. ..(..).. & | 0 2 0 0 | * 12 * * * * * ♦ 1 0 0 4 0 0 0 0 0 0 | 4 0 4 0 0 0 0 | 4 0 1 0 ..(..).. .x(..).. ..(..).. ..(..).. & | 0 2 0 0 | * * 48 * * * * ♦ 0 1 2 0 1 0 1 0 0 0 | 1 2 0 2 2 1 0 | 2 1 0 2 .o(o.).. .o(o.)..3.o(o.)..4.o(o.)..&#x & | 0 1 1 0 | * * * 96 * * * ♦ 0 0 0 1 1 2 0 1 0 0 | 1 0 2 2 0 1 2 | 2 0 1 2 .o(.o).. .o(.o)..3.o(.o)..4.o(.o)..&#x & | 0 1 0 1 | * * * * 24 * * ♦ 0 0 0 0 0 0 4 0 1 0 | 0 0 0 0 4 4 0 | 0 1 0 4 .o(..)o. .o(..)o.3.o(..)o.4.o(..)o.&#x | 0 2 0 0 | * * * * * 12 * ♦ 0 0 0 0 0 0 0 4 1 0 | 0 0 0 0 0 4 4 | 0 0 1 4 ..(..).. ..(..).. ..(x.).. ..(..).. | 0 0 2 0 | * * * * * * 24 ♦ 0 0 0 0 0 4 0 0 0 1 | 0 0 2 4 0 0 2 | 2 0 1 2 ------------------------------------------+-----------+----------------------+------------------------------+----------------------+---------- ox(..).. ..(..).. ..(..).. ..(..)..&#x & | 1 2 0 0 | 2 1 0 0 0 0 0 | 12 * * * * * * * * * | 4 0 0 0 0 0 0 | 4 0 0 0 ..(..).. ox(..).. ..(..).. ..(..)..&#x & | 1 2 0 0 | 2 0 1 0 0 0 0 | * 48 * * * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0 ..(..).. .x(..)..3.o(..).. ..(..).. & | 0 3 0 0 | 0 0 3 0 0 0 0 | * * 32 * * * * * * * | 0 1 0 1 1 0 0 | 1 1 0 1 .x(o.).. ..(..).. ..(..).. ..(..)..&#x & | 0 2 1 0 | 0 1 0 2 0 0 0 | * * * 48 * * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0 ..(..).. .x(o.).. ..(..).. ..(..)..&#x & | 0 2 1 0 | 0 0 1 2 0 0 0 | * * * * 48 * * * * * | 1 0 0 2 0 1 0 | 2 0 0 2 ..(..).. ..(..).. .o(x.).. ..(..)..&#x & | 0 1 2 0 | 0 0 0 2 0 0 1 | * * * * * 96 * * * * | 0 0 1 1 0 0 1 | 1 0 1 1 ..(..).. .x(.o).. ..(..).. ..(..)..&#x & | 0 2 0 1 | 0 0 1 0 2 0 0 | * * * * * * 48 * * * | 0 0 0 0 2 1 0 | 0 1 0 2 .o(o.)o. .o(o.)o.3.o(o.)o.4.o(o.)o.&#x | 0 2 1 0 | 0 0 0 2 0 1 0 | * * * * * * * 48 * * | 0 0 0 0 0 1 2 | 0 0 1 2 .o(.o)o. .o(.o)o.3.o(.o)o.4.o(.o)o.&#x | 0 2 0 1 | 0 0 0 0 2 1 0 | * * * * * * * * 12 * | 0 0 0 0 0 4 0 | 0 0 0 4 ..(..).. ..(o.)..3..(x.).. ..(..).. | 0 0 3 0 | 0 0 0 0 0 0 3 | * * * * * * * * * 8 | 0 0 0 4 0 0 0 | 2 0 0 2 ------------------------------------------+-----------+----------------------+------------------------------+----------------------+---------- ox(o.).. ox(o.).. ..(..).. ..(..)..&#xt & ♦ 1 4 1 0 | 4 2 2 4 0 0 0 | 2 2 0 2 2 0 0 0 0 0 | 24 * * * * * * | 2 0 0 0 ..(..).. ox(..)..3oo(..).. ..(..)..&#x & ♦ 1 3 0 0 | 3 0 3 0 0 0 0 | 0 3 1 0 0 0 0 0 0 0 | * 32 * * * * * | 1 1 0 0 .x(o.).. ..(..).. .o(x.).. ..(..)..&#x & ♦ 0 2 2 0 | 0 1 0 4 0 0 1 | 0 0 0 2 0 2 0 0 0 0 | * * 48 * * * * | 1 0 1 0 ..(..).. .x(o.)..3.o(x.).. ..(..)..&#x & ♦ 0 3 3 0 | 0 0 3 6 0 0 3 | 0 0 1 0 3 3 0 0 0 1 | * * * 32 * * * | 1 0 0 1 ..(..).. .x(.o)..3.o(.o).. ..(..)..&#x & ♦ 0 3 0 1 | 0 0 3 0 3 0 0 | 0 0 1 0 0 0 3 0 0 0 | * * * * 32 * * | 0 1 0 1 ..(..).. .x(oo)x. ..(..).. ..(..)..&#xr ♦ 0 4 1 1 | 0 0 2 4 4 2 0 | 0 0 0 0 2 0 2 2 2 0 | * * * * * 24 * | 0 0 0 2 cycle(BCED) ..(..).. ..(..).. .o(x.)o. ..(..)..&#x ♦ 0 2 2 0 | 0 0 0 4 0 1 1 | 0 0 0 0 0 2 0 2 0 0 | * * * * * * 48 | 0 0 1 1 ------------------------------------------+-----------+----------------------+------------------------------+----------------------+---------- ox(o.).. ox(o.)..3oo(x.).. ..(..)..&#xt & ♦ 1 6 3 0 | 6 3 6 12 0 0 3 | 3 6 2 6 6 6 0 0 0 1 | 3 2 3 2 0 0 0 | 16 * * * ..(..).. ox(.o)..3oo(.o)..4oo(.o)..&#xt & ♦ 1 6 0 1 | 6 0 12 0 6 0 0 | 0 12 8 0 0 0 12 0 0 0 | 0 8 0 0 8 0 0 | * 4 * * .x(o.)x. ..(..).. .o(x.)o.4.o(o.)o.&#xt ♦ 0 4 4 0 | 0 2 0 16 0 2 4 | 0 0 0 8 0 16 0 8 0 0 | 0 0 8 0 0 0 8 | * * 6 * ..(..).. .x(oo)x.3.o(xo)o. ..(..)..&#xr ♦ 0 6 3 1 | 0 0 6 12 6 3 3 | 0 0 2 0 6 6 6 6 3 1 | 0 0 0 2 2 3 3 | * * * 16 cycle(BCED)
ox(ou)xo oo(xo)oo3ox(oo)xo3oo(xo)oo&#xt → all heights = 1/2 (pt || pseudo ope || pseudo tegum product of co and u-line || pseudo ope || pt) o.(..).. o.(..)..3o.(..)..3o.(..).. & | 2 * * * ♦ 12 0 0 0 0 0 0 0 | 6 24 0 0 0 0 0 0 0 0 0 0 0 | 12 8 8 0 0 0 0 0 0 0 0 0 | 4 4 2 0 0 0 .o(..).. .o(..)..3.o(..)..3.o(..).. & | * 24 * * ♦ 1 1 4 4 1 1 0 0 | 1 4 2 2 4 2 4 2 4 4 1 0 0 | 4 2 2 2 2 2 2 2 2 2 4 2 | 2 2 1 1 2 2 ..(o.).. ..(o.)..3..(o.)..3..(o.).. | * * 12 * ♦ 0 0 0 8 0 0 2 2 | 0 0 0 0 4 8 4 8 0 4 0 1 1 | 2 0 0 4 4 4 4 0 0 4 2 4 | 2 2 0 2 2 2 ..(.o).. ..(.o)..3..(.o)..3..(.o).. | * * * 2 ♦ 0 0 0 0 12 0 0 0 | 0 0 0 0 0 0 0 0 24 0 6 0 0 | 0 0 0 0 0 0 0 8 8 0 12 0 | 0 0 2 0 4 4 ------------------------------------------+-----------+-------------------------+--------------------------------------+-------------------------------------+------------ oo(..).. oo(..)..3oo(..)..3oo(..)..&#x & | 1 1 0 0 | 24 * * * * * * * ♦ 1 4 0 0 0 0 0 0 0 0 0 0 0 | 4 2 2 0 0 0 0 0 0 0 0 0 | 2 2 1 0 0 0 .x(..).. ..(..).. ..(..).. ..(..).. & | 0 2 0 0 | * 12 * * * * * * ♦ 1 0 0 0 4 0 0 0 0 0 0 0 0 | 4 0 0 2 2 0 0 0 0 0 0 0 | 2 2 0 1 0 0 ..(..).. ..(..).. .x(..).. ..(..).. & | 0 2 0 0 | * * 48 * * * * * ♦ 0 1 1 1 0 0 1 0 1 0 0 0 0 | 1 1 1 0 0 1 1 1 1 0 1 0 | 1 1 1 0 1 1 .o(o.).. .o(o.)..3.o(o.)..3.o(o.)..&#x & | 0 1 1 0 | * * * 96 * * * * ♦ 0 0 0 0 1 1 1 1 0 1 0 0 0 | 1 0 0 1 1 1 1 0 0 1 1 1 | 1 1 0 1 1 1 .o(.o).. .o(.o)..3.o(.o)..3.o(.o)..&#x & | 0 1 0 1 | * * * * 24 * * * ♦ 0 0 0 0 0 0 0 0 4 0 1 0 0 | 0 0 0 0 0 0 0 2 2 0 4 0 | 0 0 1 0 2 2 .o(..)o. .o(..)o.3.o(..)o.3.o(..)o.&#x | 0 2 0 0 | * * * * * 12 * * ♦ 0 0 0 0 0 0 0 0 0 4 1 0 0 | 0 0 0 0 0 0 0 0 0 2 4 2 | 0 0 0 1 2 2 ..(..).. ..(x.).. ..(..).. ..(..).. | 0 0 2 0 | * * * * * * 12 * ♦ 0 0 0 0 0 4 0 0 0 0 0 1 0 | 0 0 0 2 0 4 0 0 0 2 0 0 | 2 0 0 1 2 0 ..(..).. ..(..).. ..(..).. ..(x.).. | 0 0 2 0 | * * * * * * * 12 ♦ 0 0 0 0 0 0 0 4 0 0 0 0 1 | 0 0 0 0 2 0 4 0 0 0 0 2 | 0 2 0 1 0 2 ------------------------------------------+-----------+-------------------------+--------------------------------------+-------------------------------------+------------ ox(..).. ..(..).. ..(..).. ..(..)..&#x & | 1 2 0 0 | 2 1 0 0 0 0 0 0 | 12 * * * * * * * * * * * * | 4 0 0 0 0 0 0 0 0 0 0 0 | 2 2 0 0 0 0 ..(..).. ..(..).. ox(..).. ..(..)..&#x & | 1 2 0 0 | 2 0 1 0 0 0 0 0 | * 48 * * * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 ..(..).. .o(..)..3.x(..).. ..(..).. & | 0 3 0 0 | 0 0 3 0 0 0 0 0 | * * 16 * * * * * * * * * * | 0 1 0 0 0 1 0 1 0 0 0 0 | 1 0 1 0 1 0 ..(..).. ..(..).. .x(..)..3.o(..).. & | 0 3 0 0 | 0 0 3 0 0 0 0 0 | * * * 16 * * * * * * * * * | 0 0 1 0 0 0 1 0 1 0 0 0 | 0 1 1 0 0 1 .x(o.).. ..(..).. ..(..).. ..(..)..&#x & | 0 2 1 0 | 0 1 0 2 0 0 0 0 | * * * * 48 * * * * * * * * | 1 0 0 1 1 0 0 0 0 0 0 0 | 1 1 0 1 0 0 ..(..).. .o(x.).. ..(..).. ..(..)..&#x & | 0 1 2 0 | 0 0 0 2 0 0 1 0 | * * * * * 48 * * * * * * * | 0 0 0 1 0 1 0 0 0 1 0 0 | 1 0 0 1 1 0 ..(..).. ..(..).. .x(o.).. ..(..)..&#x & | 0 2 1 0 | 0 0 1 2 0 0 0 0 | * * * * * * 48 * * * * * * | 1 0 0 0 0 1 1 0 0 0 1 0 | 1 1 0 0 1 1 ..(..).. ..(..).. ..(..).. .o(x.)..&#x & | 0 1 2 0 | 0 0 0 2 0 0 0 1 | * * * * * * * 48 * * * * * | 0 0 0 0 1 0 1 0 0 0 0 1 | 0 1 0 1 0 1 ..(..).. ..(..).. .x(.o).. ..(..)..&#x & | 0 2 0 1 | 0 0 1 0 2 0 0 0 | * * * * * * * * 48 * * * * | 0 0 0 0 0 0 0 1 1 0 1 0 | 0 0 1 0 1 1 .o(o.)o. .o(o.)o.3.o(o.)o.3.o(o.)o.&#x | 0 2 1 0 | 0 0 0 2 0 1 0 0 | * * * * * * * * * 48 * * * | 0 0 0 0 0 0 0 0 0 1 1 1 | 0 0 0 1 1 1 .o(.o)o. .o(.o)o.3.o(.o)o.3.o(.o)o.&#x | 0 2 0 1 | 0 0 0 0 2 1 0 0 | * * * * * * * * * * 12 * * | 0 0 0 0 0 0 0 0 0 0 4 0 | 0 0 0 0 2 2 ..(..).. ..(x.)..3..(o.).. ..(..).. | 0 0 3 0 | 0 0 0 0 0 0 3 0 | * * * * * * * * * * * 4 * | 0 0 0 0 0 4 0 0 0 0 0 0 | 2 0 0 0 2 0 ..(..).. ..(..).. ..(o.)..3..(x.).. | 0 0 3 0 | 0 0 0 0 0 0 0 3 | * * * * * * * * * * * * 4 | 0 0 0 0 0 0 4 0 0 0 0 0 | 0 2 0 0 0 2 ------------------------------------------+-----------+-------------------------+--------------------------------------+-------------------------------------+------------ ox(o.).. ..(..).. ox(o.).. ..(..)..&#xt & ♦ 1 4 1 0 | 4 2 2 4 0 0 0 0 | 2 2 0 0 2 0 2 0 0 0 0 0 0 | 24 * * * * * * * * * * * | 1 1 0 0 0 0 ..(..).. oo(..)..3ox(..).. ..(..)..&#x & ♦ 1 3 0 0 | 3 0 3 0 0 0 0 0 | 0 3 1 0 0 0 0 0 0 0 0 0 0 | * 16 * * * * * * * * * * | 1 0 1 0 0 0 ..(..).. ..(..).. ox(..)..3oo(..)..&#x & ♦ 1 3 0 0 | 3 0 3 0 0 0 0 0 | 0 3 0 1 0 0 0 0 0 0 0 0 0 | * * 16 * * * * * * * * * | 0 1 1 0 0 0 .x(o.).. .o(x.).. ..(..).. ..(..)..&#x & ♦ 0 2 2 0 | 0 1 0 4 0 0 1 0 | 0 0 0 0 2 2 0 0 0 0 0 0 0 | * * * 24 * * * * * * * * | 1 0 0 1 0 0 .x(o.).. ..(..).. ..(..).. .o(x.)..&#x & ♦ 0 2 2 0 | 0 1 0 4 0 0 0 1 | 0 0 0 0 2 0 0 2 0 0 0 0 0 | * * * * 24 * * * * * * * | 0 1 0 1 0 0 ..(..).. .o(x.)..3.x(o.).. ..(..)..&#x & ♦ 0 3 3 0 | 0 0 3 6 0 0 3 0 | 0 0 1 0 0 3 3 0 0 0 0 1 0 | * * * * * 16 * * * * * * | 1 0 0 0 1 0 ..(..).. ..(..).. .x(o.)..3.o(x.)..&#x & ♦ 0 3 3 0 | 0 0 3 6 0 0 0 3 | 0 0 0 1 0 0 3 3 0 0 0 0 1 | * * * * * * 16 * * * * * | 0 1 0 0 0 1 ..(..).. .o(.o)..3.x(.o).. ..(..)..&#x & ♦ 0 3 0 1 | 0 0 3 0 3 0 0 0 | 0 0 1 0 0 0 0 0 3 0 0 0 0 | * * * * * * * 16 * * * * | 0 0 1 0 1 0 ..(..).. ..(..).. .x(.o)..3.o(.o)..&#x & ♦ 0 3 0 1 | 0 0 3 0 3 0 0 0 | 0 0 0 1 0 0 0 0 3 0 0 0 0 | * * * * * * * * 16 * * * | 0 0 1 0 0 1 ..(..).. .o(x.)o. ..(..).. ..(..)..&#x ♦ 0 2 2 0 | 0 0 0 4 0 1 1 0 | 0 0 0 0 0 2 0 0 0 2 0 0 0 | * * * * * * * * * 24 * * | 0 0 0 1 1 0 ..(..).. ..(..).. .x(oo)x. ..(..)..&#xr ♦ 0 4 1 1 | 0 0 2 4 4 2 0 0 | 0 0 0 0 0 0 2 0 2 2 2 0 0 | * * * * * * * * * * 24 * | 0 0 0 0 1 1 cycle(BCED) ..(..).. ..(..).. ..(..).. .o(x.)o.&#x ♦ 0 2 2 0 | 0 0 0 4 0 1 0 1 | 0 0 0 0 0 0 0 2 0 2 0 0 0 | * * * * * * * * * * * 24 | 0 0 0 1 0 1 ------------------------------------------+-----------+-------------------------+--------------------------------------+-------------------------------------+------------ ox(o.).. oo(x.)..3ox(o.).. ..(..)..&#xt & ♦ 1 6 3 0 | 6 3 6 12 0 0 3 0 | 3 6 2 0 6 6 6 0 0 0 0 1 0 | 3 2 0 3 0 2 0 0 0 0 0 0 | 8 * * * * * ox(o.).. ..(..).. ox(o.)..3oo(x.)..&#xt & ♦ 1 6 3 0 | 6 3 6 12 0 0 0 3 | 3 6 0 2 6 0 6 6 0 0 0 0 1 | 3 0 2 0 3 0 2 0 0 0 0 0 | * 8 * * * * ..(..).. oo(.o)..3ox(.o)..3oo(.o)..&#xt & ♦ 1 6 0 1 | 6 0 12 0 6 0 0 0 | 0 12 4 4 0 0 0 0 12 0 0 0 0 | 0 4 4 0 0 0 0 4 4 0 0 0 | * * 4 * * * .x(o.)x. .o(x.)o. ..(..).. .o(x.)o.&#xt ♦ 0 4 4 0 | 0 2 0 16 0 2 2 2 | 0 0 0 0 8 8 0 8 0 8 0 0 0 | 0 0 0 4 4 0 0 0 0 4 0 4 | * * * 6 * * ..(..).. .o(xo)o.3.x(oo)x. ..(..)..&#xr ♦ 0 6 3 1 | 0 0 6 12 6 3 3 0 | 0 0 2 0 0 6 6 0 6 6 3 1 0 | 0 0 0 0 0 2 0 2 0 3 3 0 | * * * * 8 * cycle(BCED) ..(..).. ..(..).. .x(oo)x.3.o(xo)o.&#xr ♦ 0 6 3 1 | 0 0 6 12 6 3 0 3 | 0 0 0 2 0 0 6 6 6 6 3 0 1 | 0 0 0 0 0 0 2 0 2 0 3 3 | * * * * * 8 cycle(BCED)
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