Acronym | spid | ||||||||||||||||||||||||||||||||||||
Name |
small prismatodecachoron, runcinated pentachoron, expanded pentachoron, pyroperichoron, tetaco gyrobicupola, vertex figure of cypit, lattice A4 contact polytope (span of its roots), equatorial cross-section of pen-first scad, equatorial cross-section of rap-first rat | ||||||||||||||||||||||||||||||||||||
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Cross sections |
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Circumradius | 1 | ||||||||||||||||||||||||||||||||||||
Inradius wrt. tet | sqrt(5/8) = 0.790569 | ||||||||||||||||||||||||||||||||||||
Inradius wrt. trip | sqrt(5/12) = 0.645497 | ||||||||||||||||||||||||||||||||||||
Vertex figure |
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Vertex layers |
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Lace city in approx. ASCII-art |
_+------------ x x3o (trip) _/ _+------- compound of u o3o and o x3x _/ _/ _+-- x o3x (inv trip) x3o o3o -- x3o3o (tet) x3o x3x o3x -- x3o3x (co) o3o o3x -- o3o3x (dual tet) | ||||||||||||||||||||||||||||||||||||
x o o x -- x3o3o (tet) 1 2 x x uo ou x x -- x3o3x (co) 6 78 3 o x x o -- o3o3x (dual tet) 5 4 | |||||||||||||||||||||||||||||||||||||
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Lace hyper city in approx. ASCII-art |
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Volume | 35 sqrt(5)/48 = 1.630466 | ||||||||||||||||||||||||||||||||||||
Surface | 5 sqrt(2)/6+5 sqrt(3) = 9.838765 | ||||||||||||||||||||||||||||||||||||
General of army | (is itself convex) | ||||||||||||||||||||||||||||||||||||
Colonel of regiment |
(is itself locally convex
– other uniform polychoral members:
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Dihedral angles | |||||||||||||||||||||||||||||||||||||
Dual | m3o3o3m | ||||||||||||||||||||||||||||||||||||
Face vector | 20, 60, 70, 30 | ||||||||||||||||||||||||||||||||||||
Confer |
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External links |
Note that spid can be thought of as the external blend of 10 pens + 20 trippies. This decomposition is described as the degenerate segmentoteron ox3oo3oo3ox&#x.
By virtue of an outer symmetry this is a non-quasiregular monotoxal polychoron, that is all edges belong to the same equivalence class.
Incidence matrix according to Dynkin symbol
x3o3o3x . . . . | 20 ♦ 3 3 | 3 6 3 | 1 3 3 1 --------+----+-------+----------+---------- x . . . | 2 | 30 * | 2 2 0 | 1 2 1 0 . . . x | 2 | * 30 | 0 2 2 | 0 1 2 1 --------+----+-------+----------+---------- x3o . . | 3 | 3 0 | 20 * * | 1 1 0 0 x . . x | 4 | 2 2 | * 30 * | 0 1 1 0 . . o3x | 3 | 0 3 | * * 20 | 0 0 1 1 --------+----+-------+----------+---------- x3o3o . ♦ 4 | 6 0 | 4 0 0 | 5 * * * x3o . x ♦ 6 | 6 3 | 2 3 0 | * 10 * * x . o3x ♦ 6 | 3 6 | 0 3 2 | * * 10 * . o3o3x ♦ 4 | 0 6 | 0 0 4 | * * * 5
or . . . . | 20 ♦ 6 | 6 6 | 2 6 -----------+----+----+-------+------ x . . . & | 2 | 60 | 2 2 | 1 3 -----------+----+----+-------+------ x3o . . & | 3 | 3 | 40 * | 1 1 x . . x | 4 | 4 | * 30 | 0 2 -----------+----+----+-------+------ x3o3o . & ♦ 4 | 6 | 4 0 | 10 * x3o . x & ♦ 6 | 9 | 2 3 | * 20 snubbed forms: β3o3o3x, β3o3o3β
x3o3/2o3/2x . . . . | 20 ♦ 3 3 | 3 6 3 | 1 3 3 1 ------------+----+-------+----------+---------- x . . . | 2 | 30 * | 2 2 0 | 1 2 1 0 . . . x | 2 | * 30 | 0 2 2 | 0 1 2 1 ------------+----+-------+----------+---------- x3o . . | 3 | 3 0 | 20 * * | 1 1 0 0 x . . x | 4 | 2 2 | * 30 * | 0 1 1 0 . . o3/2x | 3 | 0 3 | * * 20 | 0 0 1 1 ------------+----+-------+----------+---------- x3o3/2o . ♦ 4 | 6 0 | 4 0 0 | 5 * * * x3o . x ♦ 6 | 6 3 | 2 3 0 | * 10 * * x . o3/2x ♦ 6 | 3 6 | 0 3 2 | * * 10 * . o3/2o3/2x ♦ 4 | 0 6 | 0 0 4 | * * * 5
x3/2o3o3/2x . . . . | 20 ♦ 3 3 | 3 6 3 | 1 3 3 1 ------------+----+-------+----------+---------- x . . . | 2 | 30 * | 2 2 0 | 1 2 1 0 . . . x | 2 | * 30 | 0 2 2 | 0 1 2 1 ------------+----+-------+----------+---------- x3/2o . . | 3 | 3 0 | 20 * * | 1 1 0 0 x . . x | 4 | 2 2 | * 30 * | 0 1 1 0 . . o3/2x | 3 | 0 3 | * * 20 | 0 0 1 1 ------------+----+-------+----------+---------- x3/2o3o . ♦ 4 | 6 0 | 4 0 0 | 5 * * * x3/2o . x ♦ 6 | 6 3 | 2 3 0 | * 10 * * x . o3/2x ♦ 6 | 3 6 | 0 3 2 | * * 10 * . o3o3/2x ♦ 4 | 0 6 | 0 0 4 | * * * 5
xxo3ooo3oxx&#xt → both heights = sqrt(5/8) = 0.790569 (tet || pseudo co || dual tet) o..3o..3o.. | 4 * * ♦ 3 3 0 0 0 0 | 3 6 3 0 0 0 0 0 0 | 1 3 3 1 0 0 0 0 .o.3.o.3.o. | * 12 * ♦ 0 1 2 2 1 0 | 0 2 2 1 2 1 2 2 0 | 0 1 2 1 1 2 1 0 ..o3..o3..o | * * 4 ♦ 0 0 0 0 3 3 | 0 0 0 0 0 0 3 6 3 | 0 0 0 0 1 3 3 1 ---------------+--------+-----------------+-----------------------+---------------- x.. ... ... | 2 0 0 | 6 * * * * * | 2 2 0 0 0 0 0 0 0 | 1 2 1 0 0 0 0 0 oo.3oo.3oo.&#x | 1 1 0 | * 12 * * * * | 0 2 2 0 0 0 0 0 0 | 0 1 2 1 0 0 0 0 .x. ... ... | 0 2 0 | * * 12 * * * | 0 1 0 1 1 0 1 0 0 | 0 1 1 0 1 1 0 0 ... ... .x. | 0 2 0 | * * * 12 * * | 0 0 1 0 1 1 0 1 0 | 0 0 1 1 0 1 1 0 .oo3.oo3.oo&#x | 0 1 1 | * * * * 12 * | 0 0 0 0 0 0 2 2 0 | 0 0 0 0 1 1 1 0 ... ... ..x | 0 0 2 | * * * * * 6 | 0 0 0 0 0 0 0 2 2 | 0 0 0 0 0 1 2 1 ---------------+--------+-----------------+-----------------------+---------------- x..3o.. ... | 3 0 0 | 3 0 0 0 0 0 | 4 * * * * * * * * | 1 1 0 0 0 0 0 0 xx. ... ...&#x | 2 2 0 | 1 2 1 0 0 0 | * 12 * * * * * * * | 0 1 1 0 0 0 0 0 ... ... ox.&#x | 1 2 0 | 0 2 0 1 0 0 | * * 12 * * * * * * | 0 0 1 1 0 0 0 0 .x.3.o. ... | 0 3 0 | 0 0 3 0 0 0 | * * * 4 * * * * * | 0 1 0 0 1 0 0 0 .x. ... .x. | 0 4 0 | 0 0 2 2 0 0 | * * * * 6 * * * * | 0 0 1 0 0 1 0 0 ... .o.3.x. | 0 3 0 | 0 0 0 3 0 0 | * * * * * 4 * * * | 0 0 0 1 0 0 1 0 .xo ... ...&#x | 0 2 1 | 0 0 1 0 2 0 | * * * * * * 12 * * | 0 0 0 0 1 1 0 0 ... ... .xx&#x | 0 2 2 | 0 0 0 1 2 1 | * * * * * * * 12 * | 0 0 0 0 0 1 1 0 ... ..o3..x | 0 0 3 | 0 0 0 0 0 3 | * * * * * * * * 4 | 0 0 0 0 0 0 1 1 ---------------+--------+-----------------+-----------------------+---------------- x..3o..3o.. ♦ 4 0 0 | 6 0 0 0 0 0 | 4 0 0 0 0 0 0 0 0 | 1 * * * * * * * xx.3oo. ...&#x ♦ 3 3 0 | 3 3 3 0 0 0 | 1 3 0 1 0 0 0 0 0 | * 4 * * * * * * xx. ... ox.&#x ♦ 2 4 0 | 1 4 2 2 0 0 | 0 2 2 0 1 0 0 0 0 | * * 6 * * * * * ... oo.3ox.&#x ♦ 1 3 0 | 0 3 0 3 0 0 | 0 0 3 0 0 1 0 0 0 | * * * 4 * * * * .xo3.oo ...&#x ♦ 0 3 1 | 0 0 3 0 3 0 | 0 0 0 1 0 0 3 0 0 | * * * * 4 * * * .xo ... .xx&#x ♦ 0 4 2 | 0 0 2 2 4 1 | 0 0 0 0 1 0 2 2 0 | * * * * * 6 * * ... .oo3.xx&#x ♦ 0 3 3 | 0 0 0 3 3 3 | 0 0 0 0 0 1 0 3 1 | * * * * * * 4 * ..o3..o3..x ♦ 0 0 4 | 0 0 0 0 0 6 | 0 0 0 0 0 0 0 0 4 | * * * * * * * 1
or o..3o..3o.. & | 8 * ♦ 3 3 0 | 3 6 3 0 0 | 1 3 3 1 .o.3.o.3.o. | * 12 ♦ 0 2 4 | 0 4 4 2 2 | 0 2 2 1 -----------------+------+----------+-------------+--------- x.. ... ... & | 2 0 | 12 * * | 2 2 0 0 0 | 1 2 1 0 oo.3oo.3oo.&#x & | 1 1 | * 24 * | 0 2 2 0 0 | 0 1 2 1 .x. ... ... & | 0 2 | * * 24 | 0 1 1 1 1 | 0 1 2 1 -----------------+------+----------+-------------+--------- x..3o.. ... & | 3 0 | 3 0 0 | 8 * * * * | 1 1 0 0 xx. ... ...&#x & | 2 2 | 1 2 1 | * 24 * * * | 0 1 1 0 ... ... ox.&#x & | 1 2 | 0 2 1 | * * 24 * * | 0 0 1 1 .x.3.o. ... & | 0 3 | 0 0 3 | * * * 8 * | 0 1 0 1 .x. ... .x. | 0 4 | 0 0 4 | * * * * 6 | 0 0 2 0 -----------------+------+----------+-------------+--------- x..3o..3o.. & ♦ 4 0 | 6 0 0 | 4 0 0 0 0 | 2 * * * xx.3oo. ...&#x & ♦ 3 3 | 3 3 3 | 1 3 0 1 0 | * 8 * * xx. ... ox.&#x & ♦ 2 4 | 1 4 4 | 0 2 2 0 1 | * * 12 * ... oo.3ox.&#x & ♦ 1 3 | 0 3 3 | 0 0 3 1 0 | * * * 8
x(ou)x x(xo)o3o(xo)x&#xt → both heights = sqrt(5/12) = 0.645497 (trip || compound of pseudo {6} with perp pseudo u-line || gyro trip) o(..). o(..).3o(..). | 6 * * * | 1 2 2 1 0 0 0 0 0 0 | 2 1 2 2 1 2 2 0 0 0 0 0 0 | 1 2 1 1 2 1 0 0 0 0 .(o.). .(o.).3.(o.). | * 6 * * | 0 0 2 0 1 1 2 0 0 0 | 0 0 1 2 2 0 2 1 2 2 0 0 0 | 0 1 1 0 2 2 1 1 0 0 .(.o). .(.o).3.(.o). | * * 2 * | 0 0 0 3 0 0 0 3 0 0 | 0 0 0 0 0 3 6 0 0 0 3 0 0 | 0 0 0 1 3 3 0 0 1 0 .(..)o .(..)o3.(..)o | * * * 6 | 0 0 0 0 0 0 2 1 1 2 | 0 0 0 0 0 0 2 2 1 2 2 2 1 | 0 0 0 0 1 2 1 2 1 1 -------------------------+---------+-----------------------+----------------------------+-------------------- x(..). .(..). .(..). | 2 0 0 0 | 3 * * * * * * * * * | 2 0 2 0 0 0 0 0 0 0 0 0 0 | 1 2 1 0 0 0 0 0 0 0 .(..). x(..). .(..). | 2 0 0 0 | * 6 * * * * * * * * | 1 1 0 1 0 1 0 0 0 0 0 0 0 | 1 1 0 1 1 0 0 0 0 0 o(o.). o(o.).3o(o.).&#x | 1 1 0 0 | * * 12 * * * * * * * | 0 0 1 1 1 0 1 0 0 0 0 0 0 | 0 1 1 0 1 1 0 0 0 0 o(.o). o(.o).3o(.o).&#x | 1 0 1 0 | * * * 6 * * * * * * | 0 0 0 0 0 2 2 0 0 0 0 0 0 | 0 0 0 1 2 1 0 0 0 0 .(..). .(x.). .(..). | 0 2 0 0 | * * * * 3 * * * * * | 0 0 0 2 0 0 0 0 2 0 0 0 0 | 0 1 0 0 2 0 1 0 0 0 .(..). .(..). .(x.). | 0 2 0 0 | * * * * * 3 * * * * | 0 0 0 0 2 0 0 0 0 2 0 0 0 | 0 0 1 0 0 2 0 1 0 0 .(o.)o .(o.)o3.(o.)o&#x | 0 1 0 1 | * * * * * * 12 * * * | 0 0 0 0 0 0 1 1 1 1 0 0 0 | 0 0 0 0 1 1 1 1 0 0 .(.o)o .(.o)o3.(.o)o&#x | 0 0 1 1 | * * * * * * * 6 * * | 0 0 0 0 0 0 2 0 0 0 2 0 0 | 0 0 0 0 1 2 0 0 1 0 .(..)x .(..). .(..). | 0 0 0 2 | * * * * * * * * 3 * | 0 0 0 0 0 0 0 2 0 0 0 2 0 | 0 0 0 0 0 0 1 2 0 1 .(..). .(..). .(..)x | 0 0 0 2 | * * * * * * * * * 6 | 0 0 0 0 0 0 0 0 0 1 1 1 1 | 0 0 0 0 0 1 0 1 1 1 -------------------------+---------+-----------------------+----------------------------+-------------------- x(..). x(..). .(..). | 4 0 0 0 | 2 2 0 0 0 0 0 0 0 0 | 3 * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 0 .(..). x(..).3o(..). | 3 0 0 0 | 0 3 0 0 0 0 0 0 0 0 | * 2 * * * * * * * * * * * | 1 0 0 1 0 0 0 0 0 0 x(o.). .(..). .(..).&#x | 2 1 0 0 | 1 0 2 0 0 0 0 0 0 0 | * * 6 * * * * * * * * * * | 0 1 1 0 0 0 0 0 0 0 .(..). x(x.). .(..).&#x | 2 2 0 0 | 0 1 2 0 1 0 0 0 0 0 | * * * 6 * * * * * * * * * | 0 1 0 0 1 0 0 0 0 0 .(..). .(..). o(x.).&#x | 1 2 0 0 | 0 0 2 0 0 1 0 0 0 0 | * * * * 6 * * * * * * * * | 0 0 1 0 0 1 0 0 0 0 .(..). x(.o). .(..).&#x | 2 0 1 0 | 0 1 0 2 0 0 0 0 0 0 | * * * * * 6 * * * * * * * | 0 0 0 1 1 0 0 0 0 0 o(oo)o o(oo)o3o(oo)o&#xr | 1 1 1 1 | 0 0 1 1 0 0 1 1 0 0 | * * * * * * 12 * * * * * * | 0 0 0 0 1 1 0 0 0 0 .(o.)x .(..). .(..).&#x | 0 1 0 2 | 0 0 0 0 0 0 2 0 1 0 | * * * * * * * 6 * * * * * | 0 0 0 0 0 0 1 1 0 0 .(..). .(x.)o .(..).&#x | 0 2 0 1 | 0 0 0 0 1 0 2 0 0 0 | * * * * * * * * 6 * * * * | 0 0 0 0 1 0 1 0 0 0 .(..). .(..). .(x.)x&#x | 0 2 0 2 | 0 0 0 0 0 1 2 0 0 1 | * * * * * * * * * 6 * * * | 0 0 0 0 0 1 0 1 0 0 .(..). .(..). .(.o)x&#x | 0 0 1 2 | 0 0 0 0 0 0 0 2 0 1 | * * * * * * * * * * 6 * * | 0 0 0 0 0 1 0 0 1 0 .(..)x .(..). .(..)x | 0 0 0 4 | 0 0 0 0 0 0 0 0 2 2 | * * * * * * * * * * * 3 * | 0 0 0 0 0 0 0 1 0 1 .(..). .(..)o3.(..)x | 0 0 0 3 | 0 0 0 0 0 0 0 0 0 3 | * * * * * * * * * * * * 2 | 0 0 0 0 0 0 0 0 1 1 -------------------------+---------+-----------------------+----------------------------+-------------------- x(..). x(..).3o(..). ♦ 6 0 0 0 | 3 6 0 0 0 0 0 0 0 0 | 3 2 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * x(o.). x(x.). .(..).&#x ♦ 4 2 0 0 | 2 2 4 0 1 0 0 0 0 0 | 1 0 2 2 0 0 0 0 0 0 0 0 0 | * 3 * * * * * * * * x(o.). .(..). o(x.).&#x ♦ 2 2 0 0 | 1 0 4 0 0 1 0 0 0 0 | 0 0 2 0 2 0 0 0 0 0 0 0 0 | * * 3 * * * * * * * .(..). x(.o).3o(.o).&#x ♦ 3 0 1 0 | 0 3 0 3 0 0 0 0 0 0 | 0 1 0 0 0 3 0 0 0 0 0 0 0 | * * * 2 * * * * * * .(..). x(xo)o .(..).&#xr ♦ 2 2 1 1 | 0 1 2 2 1 0 2 1 0 0 | 0 0 0 1 0 1 2 0 1 0 0 0 0 | * * * * 6 * * * * * .(..). .(..). o(xo)x&#xr ♦ 1 2 1 2 | 0 0 2 1 0 1 2 2 0 1 | 0 0 0 0 1 0 2 0 0 1 1 0 0 | * * * * * 6 * * * * .(o.)x .(x.)o .(..).&#x ♦ 0 2 0 2 | 0 0 0 0 1 0 4 0 1 0 | 0 0 0 0 0 0 0 2 2 0 0 0 0 | * * * * * * 3 * * * .(o.)x .(..). .(x.)x&#x ♦ 0 2 0 4 | 0 0 0 0 0 1 4 0 2 2 | 0 0 0 0 0 0 0 2 0 2 0 1 0 | * * * * * * * 3 * * .(..). .(.o)o3.(.o)x&#x ♦ 0 0 1 3 | 0 0 0 0 0 0 0 3 0 3 | 0 0 0 0 0 0 0 0 0 0 3 0 1 | * * * * * * * * 2 * .(..)x .(..)o3.(..)x ♦ 0 0 0 6 | 0 0 0 0 0 0 0 0 3 6 | 0 0 0 0 0 0 0 0 0 0 0 3 2 | * * * * * * * * * 1
(xoxxox)(uo) (oxxoxx)(ou)&#xr → height(1,2) = height(3,7) = height(3,8) = height(4,5) = height(6,7) = height(6,8) = 1/sqrt(2) = 0.707107 height(1,6) = height(1,7) = height(2,3) = height(2,8) = height(3,4) = height(3,8) = height(4,7) = height(5,6) = height(5,8) = sqrt(3)/2 = 0.866025 (o.....)(..) (o.....)(..) | 2 * * * * * * * | 1 2 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 1 2 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 (.o....)(..) (.o....)(..) | * 2 * * * * * * | 0 2 1 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 2 0 0 2 2 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 2 1 0 0 2 1 1 0 0 0 0 0 0 0 0 (..o...)(..) (..o...)(..) | * * 4 * * * * * | 0 0 0 0 0 1 0 1 1 1 1 0 0 0 0 1 0 0 0 0 0 0 | 0 0 0 0 1 0 0 1 1 1 1 1 1 1 0 0 0 1 1 1 1 0 0 0 0 0 0 | 0 1 0 0 0 1 1 1 1 1 1 1 0 0 0 0 (...o..)(..) (...o..)(..) | * * * 2 * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 1 2 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 2 0 0 0 2 1 | 0 0 0 0 0 0 0 0 1 2 1 2 1 0 0 1 (....o.)(..) (....o.)(..) | * * * * 2 * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 2 2 1 2 | 0 0 0 0 0 0 0 0 0 1 0 2 2 1 1 1 (.....o)(..) (.....o)(..) | * * * * * 4 * * | 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 0 0 0 | 0 0 1 1 0 1 1 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 0 0 | 0 0 1 1 1 1 0 0 0 0 0 1 1 1 1 0 (......)(o.) (......)(o.) | * * * * * * 2 * | 0 0 0 0 1 0 0 0 0 2 0 2 0 0 0 0 1 0 0 0 0 0 | 0 0 0 0 2 0 2 0 0 0 0 1 0 2 0 1 0 0 0 0 2 2 0 0 0 0 0 | 0 1 0 0 1 2 0 0 0 0 1 2 1 0 0 0 (......)(.o) (......)(.o) | * * * * * * * 2 | 0 0 0 0 0 0 1 0 0 0 2 0 2 0 0 0 0 1 0 0 0 0 | 0 0 0 0 0 2 0 0 0 2 0 0 1 2 0 0 1 0 0 2 0 0 0 0 2 0 0 | 0 0 1 0 0 2 0 1 0 1 0 2 0 0 1 0 ------------------------------+-----------------+---------------------------------------------+-------------------------------------------------------+-------------------------------- (x.....)(..) (......)(..) | 2 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * * * * * * * * * | 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 (oo....)(..) (oo....)(..)&#x | 1 1 0 0 0 0 0 0 | * 4 * * * * * * * * * * * * * * * * * * * * | 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 (......)(..) (.x....)(..) | 0 2 0 0 0 0 0 0 | * * 1 * * * * * * * * * * * * * * * * * * * | 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 2 0 0 0 0 1 0 0 0 0 0 0 0 0 0 (o....o)(..) (o....o)(..)&#x | 1 0 0 0 0 1 0 0 | * * * 4 * * * * * * * * * * * * * * * * * * | 0 0 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 (o.....)(o.) (o.....)(o.)&#x | 1 0 0 0 0 0 1 0 | * * * * 2 * * * * * * * * * * * * * * * * * | 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 0 0 1 2 0 0 0 0 0 0 0 0 0 0 (.oo...)(..) (.oo...)(..)&#x | 0 1 1 0 0 0 0 0 | * * * * * 4 * * * * * * * * * * * * * * * * | 0 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 (.o....)(.o) (.o....)(.o)&#x | 0 1 0 0 0 0 0 1 | * * * * * * 2 * * * * * * * * * * * * * * * | 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 1 0 0 2 0 1 0 0 0 0 0 0 0 0 (..x...)(..) (......)(..) | 0 0 2 0 0 0 0 0 | * * * * * * * 2 * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 (......)(..) (..x...)(..) | 0 0 2 0 0 0 0 0 | * * * * * * * * 2 * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 0 1 0 0 0 0 1 0 1 0 1 0 0 0 0 0 (..o...)(o.) (..o...)(o.)&#x | 0 0 1 0 0 0 1 0 | * * * * * * * * * 4 * * * * * * * * * * * * | 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 | 0 1 0 0 0 1 0 0 0 0 1 1 0 0 0 0 (..o...)(.o) (..o...)(.o)&#x | 0 0 1 0 0 0 0 1 | * * * * * * * * * * 4 * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 | 0 0 0 0 0 1 0 1 0 1 0 1 0 0 0 0 (.....o)(o.) (.....o)(o.)&#x | 0 0 0 0 0 1 1 0 | * * * * * * * * * * * 4 * * * * * * * * * * | 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 | 0 0 0 0 1 1 0 0 0 0 0 1 1 0 0 0 (.....o)(.o) (.....o)(.o)&#x | 0 0 0 0 0 1 0 1 | * * * * * * * * * * * * 4 * * * * * * * * * | 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 1 0 0 | 0 0 1 0 0 1 0 0 0 0 0 1 0 0 1 0 (.....x)(..) (......)(..) | 0 0 0 0 0 2 0 0 | * * * * * * * * * * * * * 2 * * * * * * * * | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 | 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 0 (......)(..) (.....x)(..) | 0 0 0 0 0 2 0 0 | * * * * * * * * * * * * * * 2 * * * * * * * | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 0 | 0 0 0 1 1 0 0 0 0 0 0 0 1 1 0 0 (..oo..)(..) (..oo..)(..)&#x | 0 0 1 1 0 0 0 0 | * * * * * * * * * * * * * * * 4 * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 (...o..)(o.) 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