Acronym | rek | |||||
Name |
rectified diacosipentacontahexazetton, lattice B8 contact polytope (span of its small roots), lattice D8 contact polytope (span of its roots), equatorial cross-section of ek-first riv | |||||
Circumradius | 1 | |||||
Inradius wrt. zee | 1/sqrt(2) = 0.707107 | |||||
Inradius wrt. roc | 1/2 = 0.5 | |||||
Lace city in approx. ASCII-art |
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h H -- x3o3o3o3o3o4o (zee) r S R -- o3x3o3o3o3o4o (rez) h H -- x3o3o3o3o3o4o (zee) \ \ \ \ \ +- o3x3o3o3o3o3o (roc) \ +---- x3o3o3o3o3o3x (suph) +------- o3o3o3o3o3x3o (inv. roc) where: h = x3o3o3o3o3o (hop) H = o3o3o3o3o3x (dual hop) r = o3x3o3o3o3o (ril) R = o3o3o3o3x3o (inv. ril) S = x3o3o3o3o3x (staf) | ||||||
Lace hyper city in approx. ASCII-art |
i.e. the vertex positions of a centered ico plus a concentrical hex where: o = o3o3o4o (point) H = x3o3o4o (hex) I = o3x3o4o (ico) | |||||
Coordinates | (1/sqrt(2), 1/sqrt(2), 0, 0, 0, 0, 0, 0) & all permutations, all changes of sign | |||||
Volume | 31/315 = 0.098413 | |||||
Surface | (480+8 sqrt(2))/315 = 1.559726 | |||||
Dihedral angles | ||||||
Face vector | 112, 1344, 4928, 10080, 12544, 8960, 3072, 272 | |||||
Confer |
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External links |
Incidence matrix according to Dynkin symbol
o3x3o3o3o3o3o4o . . . . . . . . | 112 ♦ 24 | 12 120 | 60 320 | 160 480 | 240 384 | 192 128 | 64 2 ----------------+-----+------+----------+-----------+------------+-----------+-----------+------- . x . . . . . . | 2 | 1344 | 1 10 | 10 40 | 40 80 | 80 80 | 80 32 | 32 1 ----------------+-----+------+----------+-----------+------------+-----------+-----------+------- o3x . . . . . . | 3 | 3 | 448 * ♦ 10 0 | 40 0 | 80 0 | 80 0 | 32 0 . x3o . . . . . | 3 | 3 | * 4480 | 1 8 | 8 24 | 24 32 | 32 16 | 16 1 ----------------+-----+------+----------+-----------+------------+-----------+-----------+------- o3x3o . . . . . ♦ 6 | 12 | 4 4 | 1120 * ♦ 8 0 | 24 0 | 32 0 | 16 0 . x3o3o . . . . ♦ 4 | 6 | 0 4 | * 8960 | 1 6 | 6 12 | 12 8 | 8 1 ----------------+-----+------+----------+-----------+------------+-----------+-----------+------- o3x3o3o . . . . ♦ 10 | 30 | 10 20 | 5 5 | 1792 * ♦ 6 0 | 12 0 | 8 0 . x3o3o3o . . . ♦ 5 | 10 | 0 10 | 0 5 | * 10752 | 1 4 | 4 4 | 4 1 ----------------+-----+------+----------+-----------+------------+-----------+-----------+------- o3x3o3o3o . . . ♦ 15 | 60 | 20 60 | 15 30 | 6 6 | 1792 * | 4 0 | 4 0 . x3o3o3o3o . . ♦ 6 | 15 | 0 20 | 0 15 | 0 6 | * 7168 | 1 2 | 2 1 ----------------+-----+------+----------+-----------+------------+-----------+-----------+------- o3x3o3o3o3o . . ♦ 21 | 105 | 35 140 | 35 105 | 21 42 | 7 7 | 1024 * | 2 0 . x3o3o3o3o3o . ♦ 7 | 21 | 0 35 | 0 35 | 0 21 | 0 7 | * 2048 | 1 1 ----------------+-----+------+----------+-----------+------------+-----------+-----------+------- o3x3o3o3o3o3o . ♦ 28 | 168 | 56 280 | 70 280 | 56 168 | 28 56 | 8 8 | 256 * . x3o3o3o3o3o4o ♦ 14 | 84 | 0 280 | 0 560 | 0 672 | 0 448 | 0 128 | * 16
o3x3o3o3o3o3o4/3o . . . . . . . . | 112 ♦ 24 | 12 120 | 60 320 | 160 480 | 240 384 | 192 128 | 64 2 ------------------+-----+------+----------+-----------+------------+-----------+-----------+------- . x . . . . . . | 2 | 1344 | 1 10 | 10 40 | 40 80 | 80 80 | 80 32 | 32 1 ------------------+-----+------+----------+-----------+------------+-----------+-----------+------- o3x . . . . . . | 3 | 3 | 448 * ♦ 10 0 | 40 0 | 80 0 | 80 0 | 32 0 . x3o . . . . . | 3 | 3 | * 4480 | 1 8 | 8 24 | 24 32 | 32 16 | 16 1 ------------------+-----+------+----------+-----------+------------+-----------+-----------+------- o3x3o . . . . . ♦ 6 | 12 | 4 4 | 1120 * ♦ 8 0 | 24 0 | 32 0 | 16 0 . x3o3o . . . . ♦ 4 | 6 | 0 4 | * 8960 | 1 6 | 6 12 | 12 8 | 8 1 ------------------+-----+------+----------+-----------+------------+-----------+-----------+------- o3x3o3o . . . . ♦ 10 | 30 | 10 20 | 5 5 | 1792 * ♦ 6 0 | 12 0 | 8 0 . x3o3o3o . . . ♦ 5 | 10 | 0 10 | 0 5 | * 10752 | 1 4 | 4 4 | 4 1 ------------------+-----+------+----------+-----------+------------+-----------+-----------+------- o3x3o3o3o . . . ♦ 15 | 60 | 20 60 | 15 30 | 6 6 | 1792 * | 4 0 | 4 0 . x3o3o3o3o . . ♦ 6 | 15 | 0 20 | 0 15 | 0 6 | * 7168 | 1 2 | 2 1 ------------------+-----+------+----------+-----------+------------+-----------+-----------+------- o3x3o3o3o3o . . ♦ 21 | 105 | 35 140 | 35 105 | 21 42 | 7 7 | 1024 * | 2 0 . x3o3o3o3o3o . ♦ 7 | 21 | 0 35 | 0 35 | 0 21 | 0 7 | * 2048 | 1 1 ------------------+-----+------+----------+-----------+------------+-----------+-----------+------- o3x3o3o3o3o3o . ♦ 28 | 168 | 56 280 | 70 280 | 56 168 | 28 56 | 8 8 | 256 * . x3o3o3o3o3o4/3o ♦ 14 | 84 | 0 280 | 0 560 | 0 672 | 0 448 | 0 128 | * 16
o3o3o *b3o3o3o3x3o . . . . . . . . | 112 ♦ 24 | 120 12 | 320 60 | 480 160 | 384 240 | 64 64 192 | 2 32 32 -------------------+-----+------+----------+-----------+------------+-----------+----------------+----------- . . . . . . x . | 2 | 1344 | 10 1 | 40 10 | 80 40 | 80 80 | 16 16 80 | 1 16 16 -------------------+-----+------+----------+-----------+------------+-----------+----------------+----------- . . . . . o3x . | 3 | 3 | 4480 * | 8 1 | 24 8 | 32 24 | 8 8 32 | 1 8 8 . . . . . . x3o | 3 | 3 | * 448 ♦ 0 10 | 0 40 | 0 80 | 0 0 80 | 0 16 16 -------------------+-----+------+----------+-----------+------------+-----------+----------------+----------- . . . . o3o3x . ♦ 4 | 6 | 4 0 | 8960 * | 6 1 | 12 6 | 4 4 12 | 1 4 4 . . . . . o3x3o ♦ 6 | 12 | 4 4 | * 1120 ♦ 0 8 | 0 24 | 0 0 32 | 0 8 8 -------------------+-----+------+----------+-----------+------------+-----------+----------------+----------- . . . o3o3o3x . ♦ 5 | 10 | 10 0 | 5 0 | 10752 * | 4 1 | 2 2 4 | 1 2 2 . . . . o3o3x3o ♦ 10 | 30 | 20 10 | 5 5 | * 1792 ♦ 0 6 | 0 0 12 | 0 4 4 -------------------+-----+------+----------+-----------+------------+-----------+----------------+----------- . o . *b3o3o3o3x . ♦ 6 | 15 | 20 0 | 15 0 | 6 0 | 7168 * | 1 1 1 | 1 1 1 . . . o3o3o3x3o ♦ 15 | 60 | 60 20 | 30 15 | 6 6 | * 1792 | 0 0 4 | 0 2 2 -------------------+-----+------+----------+-----------+------------+-----------+----------------+----------- o3o . *b3o3o3o3x . ♦ 7 | 21 | 35 0 | 35 0 | 21 0 | 7 0 | 1024 * * | 1 1 0 . o3o *b3o3o3o3x . ♦ 7 | 21 | 35 0 | 35 0 | 21 0 | 7 0 | * 1024 * | 1 0 1 . o . *b3o3o3o3x3o ♦ 21 | 105 | 140 35 | 105 35 | 42 21 | 7 7 | * * 1024 | 0 1 1 -------------------+-----+------+----------+-----------+------------+-----------+----------------+----------- o3o3o *b3o3o3o3x . ♦ 14 | 84 | 280 0 | 560 0 | 672 0 | 448 0 | 64 64 0 | 16 * * o3o . *b3o3o3o3x3o ♦ 28 | 168 | 280 56 | 280 70 | 168 56 | 56 28 | 8 0 8 | * 128 * . o3o *b3o3o3o3x3o ♦ 28 | 168 | 280 56 | 280 70 | 168 56 | 56 28 | 0 8 8 | * * 128
xox3oxo3ooo3ooo3ooo3ooo4ooo&#xt → both heights = 1/sqrt(2) = 0.707107 (zee || pseudo rez || zee) o..3o..3o..3o..3o..3o..4o.. & | 28 * ♦ 12 12 0 | 60 12 60 0 0 | 160 60 160 0 0 | 240 160 240 0 0 | 192 240 192 0 0 | 64 192 64 0 | 1 64 1 .o.3.o.3.o.3.o.3.o.3.o.4.o. | * 84 ♦ 0 4 20 | 0 2 40 10 80 | 0 20 160 40 160 | 0 80 320 80 160 | 0 160 320 80 64 | 0 160 128 32 | 0 64 2 ----------------------------------+-------+-------------+-----------------------+------------------------+-------------------------+-----------------------+------------------+--------- x.. ... ... ... ... ... ... & | 2 0 | 168 * * | 10 1 0 0 0 | 40 10 0 0 0 | 80 40 0 0 0 | 80 80 0 0 0 | 32 80 0 0 | 1 32 0 oo.3oo.3oo.3oo.3oo.3oo.4oo.&#x & | 1 1 | * 336 * | 0 1 10 0 0 | 0 10 40 0 0 | 0 40 80 0 0 | 0 80 80 0 0 | 0 80 30 0 | 0 32 1 ... .x. ... ... ... ... ... | 0 2 | * * 840 | 0 0 2 1 8 | 0 2 16 8 24 | 0 16 48 24 32 | 0 48 64 32 16 | 0 64 32 16 | 0 32 1 ----------------------------------+-------+-------------+-----------------------+------------------------+-------------------------+-----------------------+------------------+--------- x..3o.. ... ... ... ... ... & | 3 0 | 3 0 0 | 560 * * * * | 8 1 0 0 0 | 24 8 0 0 0 | 32 24 0 0 0 | 16 32 0 0 | 1 16 0 xo. ... ... ... ... ... ...&#x & | 2 1 | 1 2 0 | * 168 * * * ♦ 0 10 0 0 0 | 0 40 0 0 0 | 0 80 0 0 0 | 0 80 0 0 | 0 32 0 ... ox. ... ... ... ... ...&#x & | 1 2 | 0 2 1 | * * 1680 * * | 0 1 8 0 0 | 0 8 24 0 0 | 0 24 32 0 0 | 0 32 16 0 | 0 16 1 .o.3.x. ... ... ... ... ... | 0 3 | 0 0 3 | * * * 280 * ♦ 0 2 0 8 0 | 0 16 0 24 0 | 0 48 0 32 0 | 0 64 0 16 | 0 32 0 ... .x.3.o. ... ... ... ... | 0 3 | 0 0 3 | * * * * 2240 | 0 0 2 1 6 | 0 2 12 6 12 | 0 12 24 12 8 | 0 24 16 8 | 0 16 1 ----------------------------------+-------+-------------+-----------------------+------------------------+-------------------------+-----------------------+------------------+--------- x..3o..3o.. ... ... ... ... & ♦ 4 0 | 6 0 0 | 4 0 0 0 0 | 1120 * * * * | 6 1 0 0 0 | 12 6 0 0 0 | 8 12 0 0 | 1 8 0 xo.3ox. ... ... ... ... ...&#x & ♦ 3 3 | 3 6 3 | 1 3 3 1 0 | * 560 * * * ♦ 0 8 0 0 0 | 0 24 0 0 0 | 0 32 0 0 | 0 16 0 ... ox.3oo. ... ... ... ...&#x & ♦ 1 3 | 0 3 3 | 0 0 3 0 1 | * * 4480 * * | 0 1 6 0 0 | 0 6 12 0 0 | 0 12 8 0 | 0 8 1 .o.3.x.3.o. ... ... ... ... ♦ 0 6 | 0 0 12 | 0 0 0 4 4 | * * * 560 * ♦ 0 2 0 6 0 | 0 12 0 12 0 | 0 24 0 8 | 0 16 0 ... .x.3.o.3.o. ... ... ... ♦ 0 4 | 0 0 6 | 0 0 0 0 4 | * * * * 3360 | 0 0 2 1 4 | 0 2 8 4 4 | 0 8 8 4 | 0 8 1 ----------------------------------+-------+-------------+-----------------------+------------------------+-------------------------+-----------------------+------------------+--------- x..3o..3o..3o.. ... ... ... & ♦ 5 0 | 10 0 0 | 10 0 0 0 0 | 5 0 0 0 0 | 1344 * * * * | 4 1 0 0 0 | 4 4 0 0 | 1 4 0 xo.3ox.3oo. ... ... ... ...&#x & ♦ 4 6 | 6 12 12 | 4 6 12 4 4 | 1 4 4 1 0 | * 1120 * * * ♦ 0 6 0 0 0 | 0 12 0 0 | 0 8 0 ... ox.3oo.3oo. ... ... ...&#x & ♦ 1 4 | 0 4 6 | 0 0 6 0 4 | 0 0 4 0 1 | * * 6720 * * | 0 1 4 0 0 | 0 4 4 0 | 0 4 1 .o.3.x.3.o.3.o. ... ... ... ♦ 0 10 | 0 0 30 | 0 0 0 10 20 | 0 0 0 5 5 | * * * 672 * ♦ 0 2 0 4 0 | 0 8 0 4 | 0 8 0 ... .x.3.o.3.o.3.o. ... ... ♦ 0 5 | 0 0 10 | 0 0 0 0 10 | 0 0 0 0 5 | * * * * 2688 | 0 0 2 1 2 | 0 2 4 2 | 0 4 1 ----------------------------------+-------+-------------+-----------------------+------------------------+-------------------------+-----------------------+------------------+--------- x..3o..3o..3o..3o.. ... ... & ♦ 6 0 | 15 0 0 | 20 0 0 0 0 | 15 0 0 0 0 | 6 0 0 0 0 | 896 * * * * | 2 1 0 0 | 1 2 0 xo.3ox.3oo.3oo. ... ... ...&#x & ♦ 5 10 | 10 20 30 | 10 10 30 10 20 | 5 10 20 5 5 | 1 5 5 1 0 | * 1344 * * * | 0 4 0 0 | 0 4 0 ... ox.3oo.3oo.3oo. ... ...&#x & ♦ 1 5 | 0 5 10 | 0 0 10 0 10 | 0 0 10 0 5 | 0 0 5 0 1 | * * 5376 * * | 0 1 2 0 | 0 2 1 .o.3.x.3.o.3.o.3.o. ... ... ♦ 0 15 | 0 0 60 | 0 0 0 20 60 | 0 0 0 15 30 | 0 0 0 6 6 | * * * 448 * | 0 2 0 2 | 0 4 0 ... .x.3.o.3.o.3.o.3.o. ... ♦ 0 6 | 0 0 15 | 0 0 0 0 20 | 0 0 0 0 15 | 0 0 0 0 6 | * * * * 896 | 0 0 2 1 | 0 2 1 ----------------------------------+-------+-------------+-----------------------+------------------------+-------------------------+-----------------------+------------------+--------- x..3o..3o..3o..3o..3o.. ... & ♦ 7 0 | 21 0 0 | 35 0 0 0 0 | 35 0 0 0 0 | 21 0 0 0 0 | 7 0 0 0 0 | 256 * * * | 1 1 0 xo.3ox.3oo.3oo.3oo. ... ...&#x & ♦ 6 15 | 15 30 60 | 20 15 60 20 60 | 15 20 60 15 30 | 6 15 30 6 6 | 1 6 6 1 0 | * 896 * * | 0 2 0 ... ox.3oo.3oo.3oo.3oo. ...&#x & ♦ 1 6 | 0 6 15 | 0 0 15 0 20 | 0 0 20 0 15 | 0 0 15 0 6 | 0 0 6 0 1 | * * 1792 * | 0 1 1 .o.3.x.3.o.3.o.3.o.3.o. ... ♦ 0 21 | 0 0 105 | 0 0 0 35 140 | 0 0 0 35 105 | 0 0 0 21 42 | 0 0 0 7 7 | * * * 128 | 0 2 0 ----------------------------------+-------+-------------+-----------------------+------------------------+-------------------------+-----------------------+------------------+--------- x..3o..3o..3o..3o..3o..4o.. & ♦ 14 0 | 84 0 0 | 280 0 0 0 0 | 560 0 0 0 0 | 672 0 0 0 0 | 448 0 0 0 0 | 128 0 0 0 | 2 * * xo.3ox.3oo.3oo.3oo.3oo. ...&#x & ♦ 7 21 | 21 42 105 | 35 21 105 35 140 | 35 35 140 35 105 | 21 35 105 21 42 | 7 21 42 7 7 | 1 7 7 1 | * 256 * ... oxo3ooo3ooo3ooo3ooo4ooo&#xt ♦ 2 12 | 0 24 60 | 0 0 120 0 160 | 0 0 320 0 240 | 0 0 480 0 192 | 0 0 384 0 64 | 0 0 128 0 | * * 14
ooo3ooo3ooo *b3ooo3ooo3oxo3xox&#xt → both heights = 1/sqrt(2) = 0.707107 (zee || pseudo rez || zee) o..3o..3o.. *b3o..3o..3o..3o.. & | 28 * ♦ 12 12 0 | 60 60 12 0 0 | 160 160 60 0 0 | 240 240 160 0 0 | 192 192 240 0 0 0 | 32 32 32 32 192 0 0 | 1 1 32 32 .o.3.o.3.o. *b3.o.3.o.3.o.3.o. | * 84 ♦ 0 4 20 | 0 40 2 80 10 | 0 160 20 160 40 | 0 320 80 160 80 | 0 320 160 32 32 80 | 0 0 64 64 160 16 16 | 0 2 32 32 -------------------------------------+-------+-------------+-----------------------+------------------------+-------------------------+---------------------------+---------------------------+------------- ... ... ... ... ... ... x.. & | 2 0 | 168 * * | 10 0 1 0 0 | 40 0 10 0 0 | 80 0 40 0 0 | 80 0 80 0 0 0 | 16 16 0 0 80 0 0 | 1 0 16 16 oo.3oo.3oo. *b3oo.3oo.3oo.3oo.&#x & | 1 1 | * 336 * | 0 10 1 0 0 | 0 40 10 0 0 | 0 80 40 0 0 | 0 80 80 0 0 0 | 0 0 16 16 80 0 0 | 0 1 16 16 ... ... ... ... ... .x. ... | 0 2 | * * 840 | 0 2 0 8 1 | 0 16 2 24 8 | 0 48 16 32 24 | 0 64 48 8 8 32 | 0 0 16 16 64 8 8 | 0 1 16 16 -------------------------------------+-------+-------------+-----------------------+------------------------+-------------------------+---------------------------+---------------------------+------------- ... ... ... ... ... o..3x.. & | 3 0 | 3 0 0 | 560 * * * * | 8 0 1 0 0 | 24 0 8 0 0 | 32 0 24 0 0 0 | 8 8 0 0 32 0 0 | 1 0 8 8 ... ... ... ... ... ox. ...&#x & | 1 2 | 0 2 1 | * 1680 * * * | 0 8 1 0 0 | 0 24 8 0 0 | 0 32 24 0 0 0 | 0 0 8 8 32 0 0 | 0 1 8 8 ... ... ... ... ... ... xo.&#x & | 2 1 | 1 2 0 | * * 168 * * ♦ 0 0 10 0 0 | 0 0 40 0 0 | 0 0 80 0 0 0 | 0 0 0 0 80 0 0 | 0 0 16 16 ... ... ... ... .o.3.x. ... | 0 3 | 0 0 3 | * * * 2240 * | 0 2 0 6 1 | 0 12 2 12 6 | 0 24 12 4 4 12 | 0 0 8 8 24 4 4 | 0 1 8 8 ... ... ... ... ... .x.3.o. | 0 3 | 0 0 3 | * * * * 280 ♦ 0 0 2 0 8 | 0 0 16 0 24 | 0 0 48 0 0 32 | 0 0 0 0 64 8 8 | 0 0 16 16 -------------------------------------+-------+-------------+-----------------------+------------------------+-------------------------+---------------------------+---------------------------+------------- ... ... ... ... o..3o..3x.. & ♦ 4 0 | 6 0 0 | 4 0 0 0 0 | 1120 * * * * | 6 0 1 0 0 | 12 0 6 0 0 0 | 4 4 0 0 12 0 0 | 1 0 4 4 ... ... ... ... oo.3ox. ...&#x & ♦ 1 3 | 0 3 3 | 0 3 0 1 0 | * 4480 * * * | 0 6 1 0 0 | 0 12 6 0 0 0 | 0 0 4 4 12 0 0 | 0 1 4 4 ... ... ... ... ... ox.3xo.&#x & ♦ 3 3 | 3 6 3 | 1 3 3 0 1 | * * 560 * * ♦ 0 0 8 0 0 | 0 0 24 0 0 0 | 0 0 0 0 32 0 0 | 0 0 8 8 ... ... ... .o.3.o.3.x. ... ♦ 0 4 | 0 0 6 | 0 0 0 4 0 | * * * 3360 * | 0 2 0 4 1 | 0 8 2 2 2 4 | 0 0 4 4 8 2 2 | 0 1 4 4 ... ... ... ... .o.3.x.3.o. ♦ 0 6 | 0 0 12 | 0 0 0 4 4 | * * * * 560 ♦ 0 0 2 0 6 | 0 0 12 0 0 12 | 0 0 0 0 24 4 4 | 0 0 8 8 -------------------------------------+-------+-------------+-----------------------+------------------------+-------------------------+---------------------------+---------------------------+------------- ... ... ... o..3o..3o..3x.. & ♦ 5 0 | 10 0 0 | 10 0 0 0 0 | 5 0 0 0 0 | 1344 * * * * | 4 0 1 0 0 0 | 2 2 0 0 4 0 0 | 1 0 2 2 ... ... ... oo.3oo.3ox. ...&#x & ♦ 1 4 | 0 4 6 | 0 6 0 4 0 | 0 4 0 1 0 | * 6720 * * * | 0 4 1 0 0 0 | 0 0 2 2 4 0 0 | 0 1 2 2 ... ... ... ... oo.3ox.3xo.&#x & ♦ 4 6 | 6 12 12 | 4 12 6 4 4 | 1 4 4 0 1 | * * 1120 * * ♦ 0 0 6 0 0 0 | 0 0 0 0 12 0 0 | 0 0 4 4 ... .o. ... *b3.o.3.o.3.x. ... ♦ 0 5 | 0 0 10 | 0 0 0 10 0 | 0 0 0 5 0 | * * * 2688 * | 0 2 0 1 1 1 | 0 0 2 2 2 1 1 | 0 1 2 2 ... ... ... .o.3.o.3.x.3.o. ♦ 0 10 | 0 0 30 | 0 0 0 20 10 | 0 0 0 5 5 | * * * * 672 ♦ 0 0 2 0 0 4 | 0 0 0 0 8 2 2 | 0 0 4 4 -------------------------------------+-------+-------------+-----------------------+------------------------+-------------------------+---------------------------+---------------------------+------------- ... o.. ... *b3o..3o..3o..3x.. & ♦ 6 0 | 15 0 0 | 20 0 0 0 0 | 15 0 0 0 0 | 6 0 0 0 0 | 896 * * * * * | 1 1 0 0 1 0 0 | 1 0 1 1 ... oo. ... *b3oo.3oo.3ox. ...&#x & ♦ 1 5 | 0 5 10 | 0 10 0 10 0 | 0 10 0 5 0 | 0 5 0 1 0 | * 5376 * * * * | 0 0 1 1 1 0 0 | 0 1 1 1 ... ... ... oo.3oo.3ox.3xo.&#x & ♦ 5 10 | 10 20 30 | 10 30 10 20 10 | 5 20 10 5 5 | 1 5 5 0 1 | * * 1344 * * * | 0 0 0 0 4 0 0 | 0 0 2 2 .o.3.o. ... *b3.o.3.o.3.x. ... ♦ 0 6 | 0 0 15 | 0 0 0 20 0 | 0 0 0 15 0 | 0 0 0 6 0 | * * * 448 * * | 0 0 2 0 0 1 0 | 0 1 2 0 ... .o.3.o. *b3.o.3.o.3.x. ... ♦ 0 6 | 0 0 15 | 0 0 0 20 0 | 0 0 0 15 0 | 0 0 0 6 0 | * * * * 448 * | 0 0 0 2 0 0 1 | 0 1 0 2 ... .o. ... *b3.o.3.o.3.x.3.o. ♦ 0 15 | 0 0 60 | 0 0 0 60 20 | 0 0 0 30 15 | 0 0 0 6 6 | * * * * * 448 | 0 0 0 0 2 1 1 | 0 0 2 2 -------------------------------------+-------+-------------+-----------------------+------------------------+-------------------------+---------------------------+---------------------------+------------- o..3o.. ... *b3o..3o..3o..3x.. & ♦ 7 0 | 21 0 0 | 35 0 0 0 0 | 35 0 0 0 0 | 21 0 0 0 0 | 7 0 0 0 0 0 | 128 * * * * * * | 1 0 1 0 ... o..3o.. *b3o..3o..3o..3x.. & ♦ 7 0 | 21 0 0 | 35 0 0 0 0 | 35 0 0 0 0 | 21 0 0 0 0 | 7 0 0 0 0 0 | * 128 * * * * * | 1 0 0 1 oo.3oo. ... *b3oo.3oo.3ox. ...&#x & ♦ 1 6 | 0 6 15 | 0 15 0 20 0 | 0 20 0 15 0 | 0 15 0 6 0 | 0 6 0 1 0 0 | * * 896 * * * * | 0 1 1 0 ... oo.3oo. *b3oo.3oo.3ox. ...&#x & ♦ 1 6 | 0 6 15 | 0 15 0 20 0 | 0 20 0 15 0 | 0 15 0 6 0 | 0 6 0 0 1 0 | * * * 896 * * * | 0 1 0 1 ... oo. ... *b3oo.3oo.3ox.3xo.&#x & ♦ 6 15 | 15 30 60 | 20 60 15 60 20 | 15 60 20 30 15 | 6 30 15 6 6 | 1 6 6 0 0 1 | * * * * 896 * * | 0 0 1 1 .o.3.o. ... *b3.o.3.o.3.x.3.o. ♦ 0 21 | 0 0 105 | 0 0 0 140 35 | 0 0 0 105 35 | 0 0 0 42 21 | 0 0 0 7 0 7 | * * * * * 64 * | 0 0 2 0 ... .o.3.o. *b3.o.3.o.3.x.3.o. ♦ 0 21 | 0 0 105 | 0 0 0 140 35 | 0 0 0 105 35 | 0 0 0 42 21 | 0 0 0 0 7 7 | * * * * * * 64 | 0 0 0 2 -------------------------------------+-------+-------------+-----------------------+------------------------+-------------------------+---------------------------+---------------------------+------------- o..3o..3o.. *b3o..3o..3o..3x.. & ♦ 14 0 | 84 0 0 | 280 0 0 0 0 | 560 0 0 0 0 | 672 0 0 0 0 | 448 0 0 0 0 0 | 64 64 0 0 0 0 0 | 2 * * * ooo3ooo3ooo *b3ooo3ooo3oxo ...&#xt ♦ 2 12 | 0 24 60 | 0 120 0 160 0 | 0 320 0 240 0 | 0 480 0 192 0 | 0 384 0 32 32 0 | 0 0 64 64 0 0 0 | * 14 * * oo.3oo. ... *b3oo.3oo.3ox.3xo.&#x & ♦ 7 21 | 21 42 105 | 35 105 21 140 35 | 35 140 35 105 35 | 21 105 35 42 21 | 7 42 21 7 0 7 | 1 0 7 0 7 1 0 | * * 128 * ... oo.3oo. *b3oo.3oo.3ox.3xo.&#x & ♦ 7 21 | 21 42 105 | 35 105 21 140 35 | 35 140 35 105 35 | 21 105 35 42 21 | 7 42 21 0 7 7 | 0 1 0 7 7 0 1 | * * * 128
oxo3oox3ooo3ooo3ooo3xoo3oxo&#xt → both heights = 1/2 (roc || pseudo suph || inv. roc) ...
oox3xoo3ooo4ooo oox3oxo3ooo4ooo&#zx → heights = 0 (tegum sum of 2 perp icoes and a hexdip) o..3o..3o..4o.. o..3o..3o..4o.. & | 48 * ♦ 8 16 0 | 4 8 8 64 48 0 | 4 32 24 64 192 64 0 | 32 128 192 256 32 | 112 128 256 128 | 192 128 | 64 2 ..o3..o3..o4..o ..o3..o3..o4..o | * 64 ♦ 0 12 12 | 0 0 12 24 72 24 | 0 24 36 16 144 144 16 | 16 144 96 288 96 | 96 144 192 192 | 192 128 | 64 2 --------------------------------------+-------+-------------+--------------------------+-------------------------------+-------------------------+--------------------+-----------+------- ... x.. ... ... ... ... ... ... & | 2 0 | 192 * * | 1 2 0 8 0 0 | 2 8 0 16 24 0 0 | 16 24 48 32 0 | 48 32 64 16 | 80 32 | 32 1 o.o3o.o3o.o4o.o o.o3o.o3o.o4o.o&#x & | 1 1 | * 768 * | 0 0 1 4 6 0 | 0 4 6 4 24 12 0 | 4 36 24 48 8 | 32 48 48 32 | 80 32 | 32 1 ..x ... ... ... ... ... ... ... & | 0 2 | * * 384 | 0 0 1 0 6 4 | 0 4 6 0 12 24 4 | 4 36 8 48 24 | 32 48 32 48 | 80 32 | 32 1 --------------------------------------+-------+-------------+--------------------------+-------------------------------+-------------------------+--------------------+-----------+------- o..3x.. ... ... ... ... ... ... & | 3 0 | 3 0 0 | 64 * * * * * ♦ 2 8 0 0 0 0 0 | 16 24 0 0 0 | 48 32 0 0 | 80 0 | 32 0 ... x..3o.. ... ... ... ... ... & | 3 0 | 3 0 0 | * 128 * * * * | 1 0 0 8 0 0 0 | 8 0 24 0 0 | 24 0 32 0 | 32 16 | 16 1 o.x ... ... ... ... ... ... ...&#x & | 1 2 | 0 2 1 | * * 384 * * * ♦ 0 4 6 0 0 0 0 | 4 36 0 0 0 | 32 48 0 0 | 80 0 | 32 0 ... x.o ... ... ... ... ... ...&#x & | 2 1 | 1 2 0 | * * * 1536 * * | 0 1 0 2 6 0 0 | 2 6 12 12 0 | 12 12 24 8 | 32 16 | 16 1 ... ... ... ... o.x ... ... ...&#x & | 1 2 | 0 2 1 | * * * * 2304 * | 0 0 1 0 4 4 0 | 0 8 4 16 4 | 8 16 16 16 | 32 16 | 16 1 ..x3..o ... ... ... ... ... ... & | 0 3 | 0 0 3 | * * * * * 512 | 0 1 0 0 0 6 2 | 2 6 0 12 12 | 12 12 8 24 | 32 16 | 16 1 --------------------------------------+-------+-------------+--------------------------+-------------------------------+-------------------------+--------------------+-----------+------- o..3x..3o.. ... ... ... ... ... & ♦ 6 0 | 12 0 0 | 4 4 0 0 0 0 | 32 * * * * * * ♦ 8 0 0 0 0 | 24 0 0 0 | 32 0 | 16 0 o.x3x.o ... ... ... ... ... ...&#x & ♦ 3 3 | 3 6 3 | 1 0 3 3 0 1 | * 512 * * * * * ♦ 2 6 0 0 0 | 12 12 0 0 | 32 0 | 16 0 oox ... ... ... oox ... ... ...&#xt ♦ 2 4 | 0 8 4 | 0 0 4 0 4 0 | * * 576 * * * * ♦ 0 8 0 0 0 | 8 16 0 0 | 32 0 | 16 0 tower: A-C-B ... x.o3o.o ... ... ... ... ...&#x & ♦ 3 1 | 3 3 0 | 0 1 0 3 0 0 | * * * 1024 * * * | 1 0 6 0 0 | 6 0 12 0 | 12 8 | 8 1 ... x.o ... ... o.x ... ... ...&#x & ♦ 2 2 | 1 4 1 | 0 0 0 2 2 0 | * * * * 4608 * * | 0 1 2 4 0 | 2 4 8 4 | 12 8 | 8 1 ... ... ... ... o.x3o.o ... ... & ♦ 1 3 | 0 3 3 | 0 0 0 0 3 1 | * * * * * 3072 * | 0 1 0 4 2 | 2 4 4 8 | 12 8 | 8 1 ..x3..o3..o ... ... ... ... ... & ♦ 0 4 | 0 0 6 | 0 0 0 0 0 4 | * * * * * * 256 | 1 0 0 0 6 | 6 0 0 12 | 12 8 | 8 1 --------------------------------------+-------+-------------+--------------------------+-------------------------------+-------------------------+--------------------+-----------+------- o.x3x.o3o.o ... ... ... ... ...&#x & ♦ 6 4 | 12 12 6 | 4 4 6 12 0 4 | 1 4 0 4 0 0 1 | 256 * * * * ♦ 6 0 0 0 | 12 0 | 8 0 oox3xoo ... ... oox ... ... ...&#xt & ♦ 4 6 | 3 18 9 | 1 0 9 6 12 2 | 0 2 3 0 3 2 0 | * 1536 * * * ♦ 2 4 0 0 | 12 0 | 8 0 ... x.o3o.o ... o.x ... ... ...&#x & ♦ 3 2 | 3 6 1 | 0 1 0 6 3 0 | 0 0 0 2 3 0 0 | * * 3072 * * | 1 0 4 0 | 4 4 | 4 1 ... x.o ... ... o.x3o.o ... ...&#x & ♦ 2 3 | 1 6 3 | 0 0 0 3 6 1 | 0 0 0 0 3 2 0 | * * * 6144 * | 0 1 2 2 | 4 4 | 4 1 ... ... ... ... o.x3o.o3o.o ...&#x & ♦ 1 4 | 0 4 6 | 0 0 0 0 6 4 | 0 0 0 0 0 4 1 | * * * * 1536 | 1 0 0 4 | 4 4 | 4 1 --------------------------------------+-------+-------------+--------------------------+-------------------------------+-------------------------+--------------------+-----------+------- oox3xoo3ooo ... oox ... ... ...&#xt & ♦ 7 8 | 12 32 16 | 4 4 16 24 24 8 | 1 8 6 8 12 8 2 | 2 4 4 0 2 | 768 * * * | 4 0 | 4 0 tower: A-C-B oox3xoo ... ... oox3oxo ... ...&#xt & ♦ 6 9 | 6 36 18 | 2 0 18 18 36 6 | 0 6 9 0 18 12 0 | 0 6 0 6 0 | * 1024 * * | 4 0 | 4 0 tower: A-C-B ... x.o3o.o ... o.x3o.o ... ...&#x & ♦ 3 3 | 3 9 3 | 0 1 0 9 9 1 | 0 0 0 3 9 3 0 | 0 0 3 3 0 | * * 4096 * | 1 2 | 2 1 ... x.o ... ... o.x3o.o3o.o ...&#x & ♦ 2 4 | 1 8 6 | 0 0 0 4 12 4 | 0 0 0 0 6 8 1 | 0 0 0 4 2 | * * * 3072 | 1 2 | 2 1 --------------------------------------+-------+-------------+--------------------------+-------------------------------+-------------------------+--------------------+-----------+------- oox3xoo3ooo ... oox3oxo ... ...&#xt & ♦ 9 12 | 15 60 30 | 5 4 30 48 72 16 | 1 16 18 12 54 36 3 | 3 18 12 24 6 | 3 4 4 3 | 1024 * | 2 0 tower: A-C-B ... x.o3o.o ... o.x3o.o3o.o ...&#x & ♦ 3 4 | 3 12 6 | 0 1 0 12 18 4 | 0 0 0 4 18 12 1 | 0 0 6 12 3 | 0 0 4 3 | * 2048 | 1 1 --------------------------------------+-------+-------------+--------------------------+-------------------------------+-------------------------+--------------------+-----------+------- oox3xoo3ooo ... oox3oxo3ooo ...&#xt ♦ 12 16 | 24 96 48 | 8 8 48 96 144 32 | 2 32 36 32 144 96 8 | 8 48 48 96 24 | 12 16 32 24 | 8 8 | 256 * ... x.o3o.o4o.o o.x3o.o3o.o4o.o&#zx & ♦ 6 8 | 12 48 24 | 0 8 0 96 144 32 | 0 0 0 64 288 192 16 | 0 0 192 384 96 | 0 0 256 192 | 0 128 | * 16
oox3xoo3ooo *b3ooo oox3oxo3ooo *f3ooo&#zx → heights = 0 (tegum sum of 2 perp icoes and a hexdip) o..3o..3o.. o.. o..3o..3o.. o.. & | 48 * ♦ 8 16 0 | 4 4 4 8 64 48 0 | 2 2 32 24 32 32 192 64 0 0 | 16 16 128 96 96 256 16 16 | 56 56 128 128 128 64 64 | 96 96 32 32 32 32 | 16 32 16 2 ..o3..o3..o ..o ..o3..o3..o ..o | * 64 ♦ 0 12 12 | 0 0 0 12 24 72 24 | 0 0 24 36 8 8 144 144 8 8 | 8 8 144 48 48 288 48 48 | 48 48 144 96 96 96 96 | 96 96 32 32 32 32 | 16 32 16 2 --------------------------------------------+-------+-------------+----------------------------+-----------------------------------------+-------------------------------------+----------------------------------+-------------------------+------------- ... x.. ... ... ... ... ... ... & | 2 0 | 192 * * | 1 1 1 0 8 0 0 | 1 1 8 0 8 8 24 0 0 0 | 8 8 24 24 24 32 0 0 | 24 24 32 32 32 8 8 | 40 40 8 8 8 8 | 8 16 8 1 o.o3o.o3o.o *b3o.o o.o3o.o3o.o *f3o.o&#x & | 1 1 | * 768 * | 0 0 0 1 4 6 0 | 0 0 4 6 2 2 24 12 0 0 | 2 2 36 12 12 48 4 4 | 16 16 48 24 24 16 16 | 40 40 8 8 8 8 | 8 16 8 1 ..x ... ... ... ... ... ... ... & | 0 2 | * * 384 | 0 0 0 1 0 6 4 | 0 0 4 6 0 0 12 24 2 2 | 2 2 36 4 4 48 12 12 | 16 16 48 16 16 24 24 | 40 40 8 8 8 8 | 8 16 8 1 --------------------------------------------+-------+-------------+----------------------------+-----------------------------------------+-------------------------------------+----------------------------------+-------------------------+------------- o..3x.. ... ... ... ... ... ... & | 3 0 | 3 0 0 | 64 * * * * * * ♦ 1 1 8 0 0 0 0 0 0 0 | 8 8 24 0 0 0 0 0 | 24 24 32 0 0 0 0 | 40 40 0 0 0 0 | 8 16 8 0 ... x..3o.. ... ... ... ... ... & | 3 0 | 3 0 0 | * 64 * * * * * | 1 0 0 0 8 0 0 0 0 0 | 8 0 0 24 0 0 0 0 | 24 0 0 32 0 0 0 | 32 0 8 8 0 0 | 8 8 0 1 ... x.. ... *b3o.. ... ... ... ... & | 3 0 | 3 0 0 | * * 64 * * * * | 0 1 0 0 0 8 0 0 0 0 | 0 8 0 0 24 0 0 0 | 0 24 0 0 32 0 0 | 0 32 0 0 8 8 | 0 8 8 1 o.x ... ... ... ... ... ... ...&#x & | 1 2 | 0 2 1 | * * * 384 * * * ♦ 0 0 4 6 0 0 0 0 0 0 | 2 2 36 0 0 0 0 0 | 16 16 48 0 0 0 0 | 40 40 0 0 0 0 | 8 16 8 0 ... x.o ... ... ... ... ... ...&#x & | 2 1 | 1 2 0 | * * * * 1536 * * | 0 0 1 0 1 1 6 0 0 0 | 1 1 6 6 6 12 0 0 | 6 6 12 12 12 4 4 | 16 16 4 4 4 4 | 4 8 4 1 ... ... ... ... o.x ... ... ...&#x & | 1 2 | 0 2 1 | * * * * * 2304 * | 0 0 0 1 0 0 4 4 0 0 | 0 0 8 2 2 16 2 2 | 4 4 16 8 8 8 8 | 16 16 4 4 4 4 | 4 8 4 1 ..x3..o ... ... ... ... ... ... & | 0 3 | 0 0 3 | * * * * * * 512 | 0 0 1 0 0 0 0 6 1 1 | 1 1 6 0 0 12 6 6 | 6 6 12 4 4 12 12 | 16 16 4 4 4 4 | 4 8 4 1 --------------------------------------------+-------+-------------+----------------------------+-----------------------------------------+-------------------------------------+----------------------------------+-------------------------+------------- o..3x..3o.. ... ... ... ... ... & ♦ 6 0 | 12 0 0 | 4 4 0 0 0 0 0 | 16 * * * * * * * * * ♦ 8 0 0 0 0 0 0 0 | 24 0 0 0 0 0 0 | 32 0 0 0 0 0 | 8 8 0 0 o..3x.. ... *b3o.. ... ... ... ... & ♦ 6 0 | 12 0 0 | 4 0 4 0 0 0 0 | * 16 * * * * * * * * ♦ 0 8 0 0 0 0 0 0 | 0 24 0 0 0 0 0 | 0 32 0 0 0 0 | 0 8 8 0 o.x3x.o ... ... ... ... ... ...&#x & ♦ 3 3 | 3 6 3 | 1 0 0 3 3 0 1 | * * 512 * * * * * * * ♦ 1 1 6 0 0 0 0 0 | 6 6 12 0 0 0 0 | 16 16 0 0 0 0 | 4 8 4 0 oox ... ... ... oox ... ... ...&#xt ♦ 2 4 | 0 8 4 | 0 0 0 4 0 4 0 | * * * 576 * * * * * * ♦ 0 0 8 0 0 0 0 0 | 4 4 16 0 0 0 0 | 16 16 0 0 0 0 | 4 8 4 0 tower: A-C-B ... x.o3o.o ... ... ... ... ...&#x & ♦ 3 1 | 3 3 0 | 0 1 0 0 3 0 0 | * * * * 512 * * * * * | 1 0 0 6 0 0 0 0 | 6 0 0 12 0 0 0 | 12 0 4 4 0 0 | 4 4 0 1 ... x.o ... *b3o.o ... ... ... ...&#x & ♦ 3 1 | 3 3 0 | 0 0 1 0 3 0 0 | * * * * * 512 * * * * | 0 1 0 0 6 0 0 0 | 0 6 0 0 12 0 0 | 0 12 0 0 4 4 | 0 4 4 1 ... x.o ... ... o.x ... ... ...&#x & ♦ 2 2 | 1 4 1 | 0 0 0 0 2 2 0 | * * * * * * 4608 * * * | 0 0 1 1 1 4 0 0 | 1 1 4 4 4 2 2 | 6 6 2 2 2 2 | 2 4 2 1 ... ... ... ... o.x3o.o ... ... & ♦ 1 3 | 0 3 3 | 0 0 0 0 0 3 1 | * * * * * * * 3072 * * | 0 0 1 0 0 4 1 1 | 1 1 4 2 2 4 4 | 6 6 2 2 2 2 | 2 4 2 1 ..x3..o3..o ... ... ... ... ... & ♦ 0 4 | 0 0 6 | 0 0 0 0 0 0 4 | * * * * * * * * 128 * | 1 0 0 0 0 0 6 0 | 6 0 0 0 0 12 0 | 12 0 4 0 4 0 | 4 4 0 1 ..x3..o ... *b3..o ... ... ... ... & ♦ 0 4 | 0 0 6 | 0 0 0 0 0 0 4 | * * * * * * * * * 128 | 0 1 0 0 0 0 0 6 | 0 6 0 0 0 0 12 | 0 12 0 4 0 4 | 0 4 4 1 --------------------------------------------+-------+-------------+----------------------------+-----------------------------------------+-------------------------------------+----------------------------------+-------------------------+------------- o.x3x.o3o.o ... ... ... ... ...&#x & ♦ 6 4 | 12 12 6 | 4 4 0 6 12 0 4 | 1 0 4 0 4 0 0 0 1 0 | 128 * * * * * * * ♦ 6 0 0 0 0 0 0 | 12 0 0 0 0 0 | 4 4 0 0 o.x3x.o ... *b3o.o ... ... ... ...&#x & ♦ 6 4 | 12 12 6 | 4 0 4 6 12 0 4 | 0 1 4 0 0 4 0 0 0 1 | * 128 * * * * * * ♦ 0 6 0 0 0 0 0 | 0 12 0 0 0 0 | 0 4 4 0 oox3xoo ... ... oox ... ... ...&#xt & ♦ 4 6 | 3 18 9 | 1 0 0 9 6 12 2 | 0 0 2 3 0 0 3 2 0 0 | * * 1536 * * * * * ♦ 1 1 4 0 0 0 0 | 6 6 0 0 0 0 | 2 4 2 0 ... x.o3o.o ... o.x ... ... ...&#x & ♦ 3 2 | 3 6 1 | 0 1 0 0 6 3 0 | 0 0 0 0 2 0 3 0 0 0 | * * * 1536 * * * * | 1 0 0 4 0 0 0 | 4 0 2 2 0 0 | 2 2 0 1 ... x.o ... *b3o.o o.x ... ... ...&#x & ♦ 3 2 | 3 6 1 | 0 0 1 0 6 3 0 | 0 0 0 0 0 2 3 0 0 0 | * * * * 1536 * * * | 0 1 0 0 4 0 0 | 0 4 0 0 2 2 | 0 2 2 1 ... x.o ... ... o.x3o.o ... ...&#x & ♦ 2 3 | 1 6 3 | 0 0 0 0 3 6 1 | 0 0 0 0 0 0 3 2 0 0 | * * * * * 6144 * * | 0 0 1 1 1 1 1 | 2 2 1 1 1 1 | 1 2 1 1 ... ... ... ... o.x3o.o3o.o ...&#x & ♦ 1 4 | 0 4 6 | 0 0 0 0 0 6 4 | 0 0 0 0 0 0 0 4 1 0 | * * * * * * 768 * | 1 0 0 0 0 4 0 | 4 0 2 0 2 0 | 2 2 0 1 ... ... ... ... o.x3o.o ... *f3o.o&#x & ♦ 1 4 | 0 4 6 | 0 0 0 0 0 6 4 | 0 0 0 0 0 0 0 4 0 1 | * * * * * * * 768 | 0 1 0 0 0 0 4 | 0 4 0 2 0 2 | 0 2 2 1 --------------------------------------------+-------+-------------+----------------------------+-----------------------------------------+-------------------------------------+----------------------------------+-------------------------+------------- oox3xoo3ooo ... oox ... ... ...&#xt & ♦ 7 8 | 12 32 16 | 4 4 0 16 24 24 8 | 1 0 8 6 8 0 12 8 2 0 | 2 0 4 4 0 0 2 0 | 384 * * * * * * | 4 0 0 0 0 0 | 2 2 0 0 tower: A-C-B oox3xoo ... *b3ooo oox ... ... ...&#xt & ♦ 7 8 | 12 32 16 | 4 0 4 16 24 24 8 | 0 1 8 6 0 8 12 8 0 2 | 0 2 4 0 4 0 0 2 | * 384 * * * * * | 0 4 0 0 0 0 | 0 2 2 0 tower: A-C-B oox3xoo ... ... oox3oxo ... ...&#xt & ♦ 6 9 | 6 36 18 | 2 0 0 18 18 36 6 | 0 0 6 9 0 0 18 12 0 0 | 0 0 6 0 0 6 0 0 | * * 1024 * * * * | 2 2 0 0 0 0 | 1 2 1 0 tower: A-C-B ... x.o3o.o ... o.x3o.o ... ...&#x & ♦ 3 3 | 3 9 3 | 0 1 0 0 9 9 1 | 0 0 0 0 3 0 9 3 0 0 | 0 0 0 3 0 3 0 0 | * * * 2048 * * * | 1 0 1 1 0 0 | 1 1 0 1 ... x.o ... *b3o.o o.x3o.o ... ...&#x & ♦ 3 3 | 3 9 3 | 0 0 1 0 9 9 1 | 0 0 0 0 0 3 9 3 0 0 | 0 0 0 0 3 3 0 0 | * * * * 2048 * * | 0 1 0 0 1 1 | 0 1 1 1 ... x.o ... ... o.x3o.o3o.o ...&#x & ♦ 2 4 | 1 8 6 | 0 0 0 0 4 12 4 | 0 0 0 0 0 0 6 8 1 0 | 0 0 0 0 0 4 2 0 | * * * * * 1536 * | 1 0 1 0 1 0 | 1 1 0 1 ... x.o ... ... o.x3o.o ... *f3o.o&#x & ♦ 2 4 | 1 8 6 | 0 0 0 0 4 12 4 | 0 0 0 0 0 0 6 8 0 1 | 0 0 0 0 0 4 0 2 | * * * * * * 1536 | 0 1 0 1 0 1 | 0 1 1 1 --------------------------------------------+-------+-------------+----------------------------+-----------------------------------------+-------------------------------------+----------------------------------+-------------------------+------------- oox3xoo3ooo ... oox3oxo ... ...&#xt & ♦ 9 12 | 15 60 30 | 5 4 0 30 48 72 16 | 1 0 16 18 12 0 54 36 3 0 | 3 0 18 12 0 24 6 0 | 3 0 4 4 0 3 0 | 512 * * * * * | 1 1 0 0 tower: A-C-B oox3xoo ... *b3ooo oox3oxo ... ...&#xt & ♦ 9 12 | 15 60 30 | 5 0 4 30 48 72 16 | 0 1 16 18 0 12 54 36 0 3 | 0 3 18 0 12 24 0 6 | 0 3 4 0 4 0 3 | * 512 * * * * | 0 1 1 0 tower: A-C-B ... x.o3o.o ... o.x3o.o3o.o ...&#x & ♦ 3 4 | 3 12 6 | 0 1 0 0 12 18 4 | 0 0 0 0 4 0 18 12 1 0 | 0 0 0 6 0 12 3 0 | 0 0 0 4 0 3 0 | * * 512 * * * | 1 0 0 1 ... x.o3o.o ... o.x3o.o ... *f3o.o&#x & ♦ 3 4 | 3 12 6 | 0 1 0 0 12 18 4 | 0 0 0 0 4 0 18 12 0 1 | 0 0 0 6 0 12 0 3 | 0 0 0 4 0 0 3 | * * * 512 * * | 0 1 0 1 ... x.o ... *b3o.o o.x3o.o3o.o ...&#x & ♦ 3 4 | 3 12 6 | 0 0 1 0 12 18 4 | 0 0 0 0 0 4 18 12 1 0 | 0 0 0 0 6 12 3 0 | 0 0 0 0 4 3 0 | * * * * 512 * | 0 1 0 1 ... x.o ... *b3o.o o.x3o.o ... *f3o.o&#x & ♦ 3 4 | 3 12 6 | 0 0 1 0 12 18 4 | 0 0 0 0 0 4 18 12 0 1 | 0 0 0 0 6 12 0 3 | 0 0 0 0 4 0 3 | * * * * * 512 | 0 0 1 1 --------------------------------------------+-------+-------------+----------------------------+-----------------------------------------+-------------------------------------+----------------------------------+-------------------------+------------- oox3xoo3ooo ... oox3oxo3ooo ...&#xt ♦ 12 16 | 24 96 48 | 8 8 0 48 96 144 32 | 2 0 32 36 32 0 144 96 8 0 | 8 0 48 48 0 96 24 0 | 12 0 16 32 0 24 0 | 8 0 8 0 0 0 | 64 * * * oox3xoo3ooo ... oox3oxo ... *f3ooo&#xt & ♦ 12 16 | 24 96 48 | 8 4 4 48 96 144 32 | 1 1 32 36 16 16 144 96 4 4 | 4 4 48 24 24 96 12 12 | 6 6 16 16 16 12 12 | 4 4 0 4 4 0 | * 128 * * oox3xoo ... *b3ooo oox3oxo ... *f3ooo&#xt ♦ 12 16 | 24 96 48 | 8 0 8 48 96 144 32 | 0 2 32 36 0 32 144 96 0 8 | 0 8 48 0 48 96 0 24 | 0 12 16 0 32 0 24 | 0 8 0 0 0 8 | * * 64 * ... x.o3o.o *b3o.o o.x3o.o3o.o *f3o.o&#zx & ♦ 6 8 | 12 48 24 | 0 4 4 0 96 144 32 | 0 0 0 0 32 32 288 192 0 16 | 0 0 0 96 96 384 48 48 | 0 0 0 128 128 96 96 | 0 0 32 32 32 32 | * * * 16
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