Acronym | hix | ||||
Name |
hexateron, 5D simplex (α5), pyropet(id), pentachoral pyramid, regular tet-scalene, regular triangle-tettene, regular line-pennene, regular (point-)hixene, digonal gyrotrigonism, vertex figure of hop, Gosset polytope 04 | ||||
|,>,O device | line pyramid pyramid pyramid pyramid = |>>>> | ||||
Field of sections |
© | ||||
Circumradius | sqrt(5/12) = 0.645497 | ||||
Inradius | 1/sqrt(60) = 0.129099 | ||||
Vertex figure |
© © | ||||
Lace city in approx. ASCII-art |
o3o3o o3o3o x3o3o | ||||
x o o o x o o o x | |||||
Lace hyper city in approx. ASCII-art |
| ||||
Volume | sqrt(3)/480 = 0.0036084 | ||||
Surface | sqrt(5)/16 = 0.139754 | ||||
Rel. Roundness | 8 π2 sqrt(5)/3375 = 5.231196 % | ||||
Dual | (selfdual, in different orientation) | ||||
Dihedral angles | |||||
Face vector | 6, 15, 20, 15, 6 | ||||
Confer |
| ||||
External links |
Incidence matrix according to Dynkin symbol
x3o3o3o3o . . . . . | 6 ♦ 5 | 10 | 10 | 5 ----------+---+----+----+----+-- x . . . . | 2 | 15 ♦ 4 | 6 | 4 ----------+---+----+----+----+-- x3o . . . | 3 | 3 | 20 | 3 | 3 ----------+---+----+----+----+-- x3o3o . . ♦ 4 | 6 | 4 | 15 | 2 ----------+---+----+----+----+-- x3o3o3o . ♦ 5 | 10 | 10 | 5 | 6
x3/2o3o3o3o . . . . . | 6 ♦ 5 | 10 | 10 | 5 ------------+---+----+----+----+-- x . . . . | 2 | 15 ♦ 4 | 6 | 4 ------------+---+----+----+----+-- x3/2o . . . | 3 | 3 | 20 | 3 | 3 ------------+---+----+----+----+-- x3/2o3o . . ♦ 4 | 6 | 4 | 15 | 2 ------------+---+----+----+----+-- x3/2o3o3o . ♦ 5 | 10 | 10 | 5 | 6
x3o3o3o3/2o . . . . . | 6 ♦ 5 | 10 | 10 | 5 ------------+---+----+----+----+-- x . . . . | 2 | 15 ♦ 4 | 6 | 4 ------------+---+----+----+----+-- x3o . . . | 3 | 3 | 20 | 3 | 3 ------------+---+----+----+----+-- x3o3o . . ♦ 4 | 6 | 4 | 15 | 2 ------------+---+----+----+----+-- x3o3o3o . ♦ 5 | 10 | 10 | 5 | 6
ox3oo3oo3oo&#x → height = sqrt(3/5) = 0.774597
(pt || pen)
o.3o.3o.3o. | 1 * ♦ 5 0 | 10 0 | 10 0 | 5 0
.o3.o3.o3.o | * 5 ♦ 1 4 | 4 6 | 6 4 | 4 1
---------------+-----+------+-------+------+----
oo3oo3oo3oo&#x | 1 1 | 5 * ♦ 4 0 | 6 0 | 4 0
.x .. .. .. | 0 2 | * 10 ♦ 1 3 | 3 3 | 3 1
---------------+-----+------+-------+------+----
ox .. .. ..&#x | 1 2 | 2 1 | 10 * | 3 0 | 3 0
.x3.o .. .. | 0 3 | 0 3 | * 10 | 1 2 | 2 1
---------------+-----+------+-------+------+----
ox3oo .. ..&#x ♦ 1 3 | 3 3 | 3 1 | 10 * | 2 0
.x3.o3.o .. ♦ 0 4 | 0 6 | 0 4 | * 5 | 1 1
---------------+-----+------+-------+------+----
ox3oo3oo ..&#x ♦ 1 4 | 4 6 | 6 4 | 4 1 | 5 *
.x3.o3.o3.o ♦ 0 5 | 0 10 | 0 10 | 0 5 | * 1
xo ox3oo3oo&#x → height = sqrt(3/8) = 0.612372
(line || perp tet)
o. o.3o.3o. | 2 * ♦ 1 4 0 | 4 6 0 | 6 4 0 | 4 1
.o .o3.o3.o | * 4 ♦ 0 2 3 | 1 6 3 | 3 6 1 | 3 2
---------------+-----+-------+--------+-------+----
x. .. .. .. | 2 0 | 1 * * ♦ 4 0 0 | 6 0 0 | 4 0
oo oo3oo3oo&#x | 1 1 | * 8 * ♦ 1 3 0 | 3 3 0 | 3 1
.. .x .. .. | 0 2 | * * 6 ♦ 0 2 2 | 1 4 1 | 2 2
---------------+-----+-------+--------+-------+----
xo .. .. ..&#x | 2 1 | 1 2 0 | 4 * * | 3 0 0 | 3 0
.. ox .. ..&#x | 1 2 | 0 2 1 | * 12 * | 1 2 0 | 2 1
.. .x3.o .. | 0 3 | 0 0 3 | * * 4 | 0 2 1 | 1 2
---------------+-----+-------+--------+-------+----
xo ox .. ..&#x ♦ 2 2 | 1 4 1 | 2 2 0 | 6 * * | 2 0
.. ox3oo ..&#x ♦ 1 3 | 0 3 3 | 0 3 1 | * 8 * | 1 1
.. .x3.o3.o ♦ 0 4 | 0 0 6 | 0 0 4 | * * 1 | 0 2
---------------+-----+-------+--------+-------+----
xo ox3oo ..&#x ♦ 2 3 | 1 6 3 | 3 6 1 | 3 2 0 | 4 *
.. ox3oo3oo&#x ♦ 1 4 | 0 4 6 | 0 6 4 | 0 4 1 | * 2
xo3oo ox3oo&#x → height = 1/sqrt(3) = 0.577350
({3} || perp {3})
o.3o. o.3o. | 3 * ♦ 2 3 0 | 1 6 3 0 | 3 6 1 | 3 2
.o3.o .o3.o | * 3 ♦ 0 3 2 | 0 3 6 1 | 1 6 3 | 2 3
---------------+-----+-------+---------+-------+----
x. .. .. .. | 2 0 | 3 * * ♦ 1 3 0 0 | 3 3 0 | 3 1
oo3oo oo3oo&#x | 1 1 | * 9 * ♦ 0 2 2 0 | 1 4 1 | 2 2
.. .. .x .. | 0 2 | * * 3 ♦ 0 0 3 1 | 0 3 3 | 1 3
---------------+-----+-------+---------+-------+----
x.3o. .. .. | 3 0 | 3 0 0 | 1 * * * | 3 0 0 | 3 0
xo .. .. ..&#x | 2 1 | 1 2 0 | * 9 * * | 1 2 0 | 2 1
.. .. ox ..&#x | 1 2 | 0 2 1 | * * 9 * | 0 2 1 | 1 2
.. .. .x3.o | 0 3 | 0 0 3 | * * * 1 | 0 0 3 | 0 3
---------------+-----+-------+---------+-------+----
xo3oo .. ..&#x ♦ 3 1 | 3 3 0 | 1 3 0 0 | 3 * * | 2 0
xo .. ox ..&#x ♦ 2 2 | 1 4 1 | 0 2 2 0 | * 9 * | 1 1
.. .. ox3oo&#x ♦ 1 3 | 0 3 3 | 0 0 3 1 | * * 3 | 0 2
---------------+-----+-------+---------+-------+----
xo3oo ox ..&#x ♦ 3 2 | 3 6 1 | 1 6 3 0 | 2 3 0 | 3 *
xo .. ox3oo&#x ♦ 2 3 | 1 6 3 | 0 3 6 1 | 0 3 2 | * 3
or o.3o. o.3o. & | 6 ♦ 2 3 | 1 9 | 4 3 | 5 -----------------+---+-----+------+-----+-- x. .. .. .. & | 2 | 6 * ♦ 1 3 | 3 3 | 4 oo3oo oo3oo&#x | 2 | * 9 ♦ 0 4 | 2 4 | 4 -----------------+---+-----+------+-----+-- x.3o. .. .. & | 3 | 3 0 | 2 * | 3 0 | 3 xo .. .. ..&#x & | 3 | 1 2 | * 18 | 1 2 | 3 -----------------+---+-----+------+-----+-- xo3oo .. ..&#x & ♦ 4 | 3 3 | 1 3 | 6 * | 2 xo .. ox ..&#x ♦ 4 | 2 4 | 0 4 | * 9 | 2 -----------------+---+-----+------+-----+-- xo3oo ox ..&#x & ♦ 5 | 4 6 | 1 9 | 2 3 | 6
oxo3ooo3ooo&#x → height(1,2) = height(2,3) = sqrt(5/8) = 0.790569 height(1,3) = 1 ( (pt || tet) || pt ) o..3o..3o.. | 1 * * ♦ 4 1 0 0 | 6 4 0 0 | 4 6 0 0 | 1 4 0 .o.3.o.3.o. | * 4 * ♦ 1 0 3 1 | 3 1 3 3 | 3 3 1 3 | 1 3 1 ..o3..o3..o | * * 1 ♦ 0 1 0 4 | 0 4 0 6 | 0 6 0 4 | 0 4 1 ---------------+-------+---------+---------+---------+------ oo.3oo.3oo.&#x | 1 1 0 | 4 * * * ♦ 3 1 0 0 | 3 3 0 0 | 1 3 0 o.o3o.o3o.o&#x | 1 0 1 | * 1 * * ♦ 0 4 0 0 | 0 6 0 0 | 0 4 0 .x. ... ... | 0 2 0 | * * 6 * ♦ 1 0 2 1 | 2 1 1 2 | 1 2 1 .oo3.oo3.oo&#x | 0 1 1 | * * * 4 ♦ 0 1 0 3 | 0 3 0 3 | 0 3 1 ---------------+-------+---------+---------+---------+------ ox. ... ...&#x | 1 2 0 | 2 0 1 0 | 6 * * * | 2 1 0 0 | 1 2 0 ooo3ooo3ooo&#x | 1 1 1 | 1 1 0 1 | * 4 * * | 0 3 0 0 | 0 3 0 .x.3.o. ... | 0 3 0 | 0 0 3 0 | * * 4 * | 1 0 1 1 | 1 1 1 .xo ... ...&#x | 0 2 1 | 0 0 1 2 | * * * 6 | 0 1 0 2 | 0 2 1 ---------------+-------+---------+---------+---------+------ ox.3oo. ...&#x ♦ 1 3 0 | 3 0 3 0 | 3 0 1 0 | 4 * * * | 1 1 0 oxo ... ...&#x ♦ 1 2 1 | 2 1 1 2 | 1 2 0 1 | * 6 * * | 0 2 0 .x.3.o.3.o. ♦ 0 4 0 | 0 0 6 0 | 0 0 4 0 | * * 1 * | 1 0 1 .xo3.oo ...&#x ♦ 0 3 1 | 0 0 3 3 | 0 0 1 3 | * * * 4 | 0 1 1 ---------------+-------+---------+---------+---------+------ ox.3oo.3oo.&#x ♦ 1 4 0 | 4 0 6 0 | 6 0 4 0 | 4 0 1 0 | 1 * * oxo3ooo ...&#x ♦ 1 3 1 | 3 1 3 3 | 3 3 1 3 | 1 3 0 1 | * 4 * .xo3.oo3.oo&#x ♦ 0 4 1 | 0 0 6 4 | 0 0 4 6 | 0 0 1 4 | * * 1
oxo3ooo oox&#x → height(1,2) = sqrt(2/3) = 0.816497 height(1,3) = sqrt(3)/2 = 0.866025 height(2,3) = sqrt(5/12) = 0.645497 ( (pt || {3}) || perp line ) o..3o.. o.. | 1 * * ♦ 3 2 0 0 0 | 3 1 6 0 0 0 | 1 6 3 0 0 | 2 3 0 .o.3.o. .o. | * 3 * ♦ 1 0 2 2 0 | 2 0 2 1 4 1 | 1 4 1 2 2 | 2 2 1 ..o3..o ..o | * * 2 ♦ 0 1 0 3 1 | 0 1 3 0 3 3 | 0 3 3 1 3 | 1 3 1 ---------------+-------+-----------+-------------+-----------+------ oo.3oo. oo.&#x | 1 1 0 | 3 * * * * ♦ 2 0 2 0 0 0 | 1 4 1 0 0 | 2 2 0 o.o3o.o o.o&#x | 1 0 1 | * 2 * * * ♦ 0 1 3 0 0 0 | 0 3 3 0 0 | 1 3 0 .x. ... ... | 0 2 0 | * * 3 * * ♦ 1 0 0 1 2 0 | 1 2 0 2 1 | 2 1 1 .oo3.oo .oo&#x | 0 1 1 | * * * 6 * ♦ 0 0 1 0 2 1 | 0 2 1 1 2 | 1 2 1 ... ... ..x | 0 0 2 | * * * * 1 ♦ 0 1 0 0 0 3 | 0 0 3 0 3 | 0 3 1 ---------------+-------+-----------+-------------+-----------+------ ox. ... ...&#x | 1 2 0 | 2 0 1 0 0 | 3 * * * * * | 1 2 0 0 0 | 2 1 0 ... ... o.x&#x | 1 0 2 | 0 2 0 0 1 | * 1 * * * * | 0 0 3 0 0 | 0 3 0 ooo3ooo ooo&#x | 1 1 1 | 1 1 0 1 0 | * * 6 * * * | 0 2 1 0 0 | 1 2 0 .x.3.o. ... | 0 3 0 | 0 0 3 0 0 | * * * 1 * * | 1 0 0 2 0 | 2 0 1 .xo ... ...&#x | 0 2 1 | 0 0 1 2 0 | * * * * 6 * | 0 1 0 1 1 | 1 1 1 ... ... .ox&#x | 0 1 2 | 0 0 0 2 1 | * * * * * 3 | 0 0 1 0 2 | 0 2 1 ---------------+-------+-----------+-------------+-----------+------ ox.3oo. ...&#x ♦ 1 3 0 | 3 0 3 0 0 | 3 0 0 1 0 0 | 1 * * * * | 2 0 0 oxo ... ...&#x ♦ 1 2 1 | 2 1 1 2 0 | 1 0 2 0 1 0 | * 6 * * * | 1 1 0 ... ... oox&#x ♦ 1 1 2 | 1 2 0 2 1 | 0 1 2 0 0 1 | * * 3 * * | 0 2 0 .xo3.oo ...&#x ♦ 0 3 1 | 0 0 3 3 0 | 0 0 0 1 3 0 | * * * 2 * | 1 0 1 .xo ... .ox&#x ♦ 0 2 2 | 0 0 1 4 1 | 0 0 0 0 2 2 | * * * * 3 | 0 1 1 ---------------+-------+-----------+-------------+-----------+------ oxo3ooo ...&#x ♦ 1 3 1 | 3 1 3 3 0 | 3 0 3 1 3 0 | 1 3 0 1 0 | 2 * * oxo ... oox&#x ♦ 1 2 2 | 2 2 1 4 1 | 1 1 4 0 2 2 | 0 2 2 0 1 | * 3 * .xo3.oo .ox&#x ♦ 0 3 2 | 0 0 3 6 1 | 0 0 0 1 6 3 | 0 0 0 2 3 | * * 1
xoo oxo oox&#x → all heights = 1/sqrt(2) = 0.707107 ( (line || perp line) || perp line) o.. o.. o.. | 2 * * ♦ 1 2 2 0 0 0 | 2 2 1 1 4 0 0 | 4 1 1 2 2 0 | 2 2 1 .o. .o. .o. | * 2 * ♦ 0 2 0 1 2 0 | 1 0 2 0 4 2 1 | 2 1 0 4 2 1 | 2 1 2 ..o ..o ..o | * * 2 ♦ 0 0 2 0 2 1 | 0 1 0 2 4 1 2 | 2 0 1 2 4 1 | 1 2 2 ---------------+-------+-------------+---------------+-------------+------ x.. ... ... | 2 0 0 | 1 * * * * * ♦ 2 2 0 0 0 0 0 | 4 1 1 0 0 0 | 2 2 0 oo. oo. oo.&#x | 1 1 0 | * 4 * * * * ♦ 1 0 1 0 2 0 0 | 2 1 0 2 1 0 | 2 1 1 o.o o.o o.o&#x | 1 0 1 | * * 4 * * * ♦ 0 1 0 1 2 0 0 | 2 0 1 1 2 0 | 1 2 1 ... .x. ... | 0 2 0 | * * * 1 * * ♦ 0 0 2 0 0 2 0 | 0 1 0 4 0 1 | 2 0 2 .oo .oo .oo&#x | 0 1 1 | * * * * 4 * ♦ 0 0 0 0 2 1 1 | 1 0 0 2 2 1 | 1 1 2 ... ... ..x | 0 0 2 | * * * * * 1 ♦ 0 0 0 2 0 0 2 | 0 0 1 0 4 1 | 0 2 2 ---------------+-------+-------------+---------------+-------------+------ xo. ... ...&#x | 2 1 0 | 1 2 0 0 0 0 | 2 * * * * * * | 2 1 0 0 0 0 | 2 1 0 x.o ... ...&#x | 2 0 1 | 1 0 2 0 0 0 | * 2 * * * * * | 2 0 1 0 0 0 | 1 2 0 ... ox. ...&#x | 1 2 0 | 0 2 0 1 0 0 | * * 2 * * * * | 0 1 0 2 0 0 | 2 0 1 ... ... o.x&#x | 1 0 2 | 0 0 2 0 0 1 | * * * 2 * * * | 0 0 1 0 2 0 | 0 2 1 ooo ooo ooo&#x | 1 1 1 | 0 1 1 0 1 0 | * * * * 8 * * | 1 0 0 1 1 0 | 1 1 1 ... .xo ...&#x | 0 2 1 | 0 0 0 1 2 0 | * * * * * 2 * | 0 0 0 2 0 1 | 1 0 2 ... ... .ox&#x | 0 1 2 | 0 0 0 0 2 1 | * * * * * * 2 | 0 0 0 0 2 1 | 0 1 2 ---------------+-------+-------------+---------------+-------------+------ xoo ... ...&#x ♦ 2 1 1 | 1 2 2 0 1 0 | 1 1 0 0 2 0 0 | 4 * * * * * | 1 1 0 xo. ox. ...&#x ♦ 2 2 0 | 1 4 0 1 0 0 | 2 0 2 0 0 0 0 | * 1 * * * * | 2 0 0 x.o ... o.x&#x ♦ 2 0 2 | 1 0 4 0 0 1 | 0 2 0 2 0 0 0 | * * 1 * * * | 0 2 0 ... oxo ...&#x ♦ 1 2 1 | 0 2 1 1 2 0 | 0 0 1 0 2 1 0 | * * * 4 * * | 1 0 1 ... ... oox&#x ♦ 1 1 2 | 0 1 2 0 2 1 | 0 0 0 1 2 0 1 | * * * * 4 * | 0 1 1 ... .xo .ox&#x ♦ 0 2 2 | 0 0 0 1 4 1 | 0 0 0 0 0 2 2 | * * * * * 1 | 0 0 2 ---------------+-------+-------------+---------------+-------------+------ xoo oxo ...&#x ♦ 2 2 1 | 1 4 2 1 2 0 | 2 1 2 0 4 1 0 | 2 1 0 2 0 0 | 2 * * xoo ... oox&#x ♦ 2 1 2 | 1 2 4 0 2 1 | 1 2 0 2 4 0 1 | 2 0 1 0 2 0 | * 2 * ... oxo oox&#x ♦ 1 2 2 | 0 2 2 1 4 1 | 0 0 1 1 4 2 2 | 0 0 0 2 2 1 | * * 2
or o.. o.. o.. & | 6 ♦ 1 4 | 6 4 | 2 8 | 5 -----------------+---+------+------+------+-- x.. ... ... & | 2 | 3 * ♦ 4 0 | 2 4 | 4 oo. oo. oo.&#x & | 2 | * 12 ♦ 2 2 | 1 5 | 4 -----------------+---+------+------+------+-- xo. ... ...&#x & | 3 | 1 2 | 12 * | 1 2 | 3 ooo ooo ooo&#x | 3 | 0 3 | * 8 | 0 3 | 3 -----------------+---+------+------+------+-- xo. ox. ...&#x & ♦ 4 | 2 4 | 4 0 | 3 * | 2 xoo ... ...&#x & ♦ 4 | 1 5 | 2 2 | * 12 | 2 -----------------+---+------+------+------+-- xoo oxo ...&#x & ♦ 5 | 2 8 | 6 4 | 1 4 | 6
ooox ooxo&#x → height(1,2) = 1 height(1,3) = height(1,4) = height(2,3) = height(2,4) = sqrt(3)/2 = 0.866025 height(3,4) = 1/sqrt(2) = 0.707107 o... o... | 1 * * * ♦ 1 2 2 0 0 0 0 0 | 2 2 1 4 1 0 0 0 0 0 | 1 4 1 2 2 0 0 0 | 2 2 1 0 .o.. .o.. | * 1 * * ♦ 1 0 0 2 2 0 0 0 | 2 2 0 0 0 1 4 1 0 0 | 1 4 1 0 0 2 2 0 | 2 2 0 1 ..o. ..o. | * * 2 * ♦ 0 1 0 1 0 1 2 0 | 1 0 1 2 0 1 2 0 1 2 | 1 2 0 1 2 1 2 1 | 1 2 1 1 ...o ...o | * * * 2 ♦ 0 0 1 0 1 0 2 1 | 0 1 0 2 1 0 2 1 2 1 | 0 2 1 2 1 2 1 1 | 2 1 1 1 -------------+---------+-----------------+---------------------+-----------------+-------- oo.. oo..&#x | 1 1 0 0 | 1 * * * * * * * ♦ 2 2 0 0 0 0 0 0 0 0 | 1 4 1 0 0 0 0 0 | 2 2 0 0 o.o. o.o.&#x | 1 0 1 0 | * 2 * * * * * * ♦ 1 0 1 2 0 0 0 0 0 0 | 1 2 0 1 2 0 0 0 | 1 2 1 0 o..o o..o&#x | 1 0 0 1 | * * 2 * * * * * ♦ 0 1 0 2 1 0 0 0 0 0 | 0 2 1 2 1 0 0 0 | 2 1 1 0 .oo. .oo.&#x | 0 1 1 0 | * * * 2 * * * * ♦ 1 0 0 0 0 1 2 0 0 0 | 1 2 0 0 0 1 2 0 | 1 2 0 1 .o.o .o.o&#x | 0 1 0 1 | * * * * 2 * * * ♦ 0 1 0 0 0 0 2 1 0 0 | 0 2 1 0 0 2 1 0 | 2 1 0 1 .... ..x. | 0 0 2 0 | * * * * * 1 * * ♦ 0 0 1 0 0 1 0 0 0 2 | 1 0 0 0 2 0 2 1 | 0 2 1 1 ..oo ..oo&#x | 0 0 1 1 | * * * * * * 4 * ♦ 0 0 0 1 0 0 1 0 1 1 | 0 1 0 1 1 1 1 1 | 1 1 1 1 ...x .... | 0 0 0 2 | * * * * * * * 1 ♦ 0 0 0 0 1 0 0 1 2 0 | 0 0 1 2 0 2 0 1 | 2 0 1 1 -------------+---------+-----------------+---------------------+-----------------+-------- ooo. ooo.&#x | 1 1 1 0 | 1 1 0 1 0 0 0 0 | 2 * * * * * * * * * | 1 2 0 0 0 0 0 0 | 1 2 0 0 oo.o oo.o&#x | 1 1 0 1 | 1 0 1 0 1 0 0 0 | * 2 * * * * * * * * | 0 2 1 0 0 0 0 0 | 2 1 0 0 .... o.x.&#x | 1 0 2 0 | 0 2 0 0 0 1 0 0 | * * 1 * * * * * * * | 1 0 0 0 2 0 0 0 | 0 2 1 0 o.oo o.oo&#x | 1 0 1 1 | 0 1 1 0 0 0 1 0 | * * * 4 * * * * * * | 0 1 0 1 1 0 0 0 | 1 1 1 0 o..x ....&#x | 1 0 0 2 | 0 0 2 0 0 0 0 1 | * * * * 1 * * * * * | 0 0 1 2 0 0 0 0 | 2 0 1 0 .... .ox.&#x | 0 1 2 0 | 0 0 0 2 0 1 0 0 | * * * * * 1 * * * * | 1 0 0 0 0 0 2 0 | 0 2 0 1 .ooo .ooo&#x | 0 1 1 1 | 0 0 0 1 1 0 1 0 | * * * * * * 4 * * * | 0 1 0 0 0 1 1 0 | 1 1 0 1 .o.x ....&#x | 0 1 0 2 | 0 0 0 0 2 0 0 1 | * * * * * * * 1 * * | 0 0 1 0 0 2 0 0 | 2 0 0 1 ..ox ....&#x | 0 0 1 2 | 0 0 0 0 0 0 2 1 | * * * * * * * * 2 * | 0 0 0 1 0 1 0 1 | 1 0 1 1 .... ..xo&#x | 0 0 2 1 | 0 0 0 0 0 1 2 0 | * * * * * * * * * 2 | 0 0 0 0 1 0 1 1 | 0 1 1 1 -------------+---------+-----------------+---------------------+-----------------+-------- .... oox.&#x ♦ 1 1 2 0 | 1 2 0 2 0 1 0 0 | 2 0 1 0 0 1 0 0 0 0 | 1 * * * * * * * | 0 2 0 0 oooo oooo&#x ♦ 1 1 1 1 | 1 1 1 1 1 0 1 0 | 1 1 0 1 0 0 1 0 0 0 | * 4 * * * * * * | 1 1 0 0 oo.x ....&#x ♦ 1 1 0 2 | 1 0 2 0 2 0 0 1 | 0 2 0 0 1 0 0 1 0 0 | * * 1 * * * * * | 2 0 0 0 o.ox ....&#x ♦ 1 0 1 2 | 0 1 2 0 0 0 2 1 | 0 0 0 2 1 0 0 0 1 0 | * * * 2 * * * * | 1 0 1 0 .... o.xo&#x ♦ 1 0 2 1 | 0 2 1 0 0 1 2 0 | 0 0 1 2 0 0 0 0 0 1 | * * * * 2 * * * | 0 1 1 0 .oox ....&#x ♦ 0 1 1 2 | 0 0 0 1 2 0 2 1 | 0 0 0 0 0 0 2 1 1 0 | * * * * * 2 * * | 1 0 0 1 .... .oxo&#x ♦ 0 1 2 1 | 0 0 0 2 1 1 2 0 | 0 0 0 0 0 1 2 0 0 1 | * * * * * * 2 * | 0 1 0 1 ..ox ..xo&#x ♦ 0 0 2 2 | 0 0 0 0 0 1 4 1 | 0 0 0 0 0 0 0 0 2 2 | * * * * * * * 1 | 0 0 1 1 -------------+---------+-----------------+---------------------+-----------------+-------- ooox ....&#x ♦ 1 1 1 2 | 1 1 2 1 2 0 2 1 | 1 2 0 2 1 0 2 1 1 0 | 0 2 1 1 0 1 0 0 | 2 * * * .... ooxo&#x ♦ 1 1 2 1 | 1 2 1 2 1 1 2 0 | 2 1 1 2 0 1 2 0 0 1 | 1 2 0 0 1 0 1 0 | * 2 * * o.ox o.xo&#x ♦ 1 0 2 2 | 0 2 2 0 0 1 4 1 | 0 0 1 4 1 0 0 0 2 2 | 0 0 0 2 2 0 0 1 | * * 1 * .oox .oxo&#x ♦ 0 1 2 2 | 0 0 0 2 2 1 4 1 | 0 0 0 0 0 1 4 1 2 2 | 0 0 0 0 0 2 2 1 | * * * 1
oooo3ooox&#x → height(1,2) = height(1,3) = height(2,3) = 1 height(1,4) = height(2,4) = height(3,4) = sqrt(2/3) = 0.816497 o...3o... | 1 * * * ♦ 1 1 3 0 0 0 0 | 1 3 3 3 0 0 0 0 | 3 3 3 1 0 0 0 | 3 1 1 0 .o..3.o.. | * 1 * * ♦ 1 0 0 1 3 0 0 | 1 3 0 0 3 3 0 0 | 3 3 0 0 3 1 0 | 3 1 0 1 ..o.3..o. | * * 1 * ♦ 0 1 0 1 0 3 0 | 1 0 3 0 3 0 3 0 | 3 0 3 0 3 0 1 | 3 0 1 1 ...o3...o | * * * 3 ♦ 0 0 1 0 1 1 2 | 0 1 1 2 1 2 2 1 | 1 2 2 1 2 1 1 | 2 1 1 1 -------------+---------+---------------+-----------------+---------------+-------- oo..3oo..&#x | 1 1 0 0 | 1 * * * * * * ♦ 1 3 0 0 0 0 0 0 | 3 3 0 0 0 0 0 | 3 1 0 0 o.o.3o.o.&#x | 1 0 1 0 | * 1 * * * * * ♦ 1 0 3 0 0 0 0 0 | 3 0 3 0 0 0 0 | 3 0 1 0 o..o3o..o&#x | 1 0 0 1 | * * 3 * * * * ♦ 0 1 1 2 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0 .oo.3.oo.&#x | 0 1 1 0 | * * * 1 * * * ♦ 1 0 0 0 3 0 0 0 | 3 0 0 0 3 0 0 | 3 0 0 1 .o.o3.o.o&#x | 0 1 0 1 | * * * * 3 * * ♦ 0 1 0 0 1 2 0 0 | 1 2 0 0 2 1 0 | 2 1 0 1 ..oo3..oo&#x | 0 0 1 1 | * * * * * 3 * ♦ 0 0 1 0 1 0 2 0 | 1 0 2 0 2 0 1 | 2 0 1 1 .... ...x | 0 0 0 2 | * * * * * * 3 ♦ 0 0 0 1 0 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1 -------------+---------+---------------+-----------------+---------------+-------- ooo.3ooo.&#x | 1 1 1 0 | 1 1 0 1 0 0 0 | 1 * * * * * * * | 3 0 0 0 0 0 0 | 3 0 0 0 oo.o3oo.o&#x | 1 1 0 1 | 1 0 1 0 1 0 0 | * 3 * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0 o.oo3o.oo&#x | 1 0 1 1 | 0 1 1 0 0 1 0 | * * 3 * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0 .... o..x&#x | 1 0 0 2 | 0 0 2 0 0 0 1 | * * * 3 * * * * | 0 1 1 1 0 0 0 | 1 1 1 0 .ooo3.ooo&#x | 0 1 1 1 | 0 0 0 1 1 1 0 | * * * * 3 * * * | 1 0 0 0 2 0 0 | 2 0 0 1 .... .o.x&#x | 0 1 0 2 | 0 0 0 0 2 0 1 | * * * * * 3 * * | 0 1 0 0 1 1 0 | 1 1 0 1 .... ..ox&#x | 0 0 1 2 | 0 0 0 0 0 2 1 | * * * * * * 3 * | 0 0 1 0 1 0 1 | 1 0 1 1 ...o3...x&#x | 0 0 0 3 | 0 0 0 0 0 0 3 | * * * * * * * 1 | 0 0 0 1 0 1 1 | 0 1 1 1 -------------+---------+---------------+-----------------+---------------+-------- oooo3oooo&#x ♦ 1 1 1 1 | 1 1 1 1 1 1 0 | 1 1 1 0 1 0 0 0 | 3 * * * * * * | 2 0 0 0 .... oo.x&#x ♦ 1 1 0 2 | 1 0 2 0 2 0 1 | 0 2 0 1 0 1 0 0 | * 3 * * * * * | 1 1 0 0 .... o.ox&#x ♦ 1 0 1 2 | 0 1 2 0 0 2 1 | 0 0 2 1 0 0 1 0 | * * 3 * * * * | 1 0 1 0 o..o3o..x&#x ♦ 1 0 0 3 | 0 0 3 0 0 0 3 | 0 0 0 3 0 0 0 1 | * * * 1 * * * | 0 1 1 0 .... .oox&#x ♦ 0 1 1 2 | 0 0 0 1 2 2 1 | 0 0 0 0 2 1 1 0 | * * * * 3 * * | 1 0 0 1 .o.o3.o.x&#x ♦ 0 1 0 3 | 0 0 0 0 3 0 3 | 0 0 0 0 0 3 0 1 | * * * * * 1 * | 0 1 0 1 ..oo3..ox&#x ♦ 0 0 1 3 | 0 0 0 0 0 3 3 | 0 0 0 0 0 0 3 1 | * * * * * * 1 | 0 0 1 1 -------------+---------+---------------+-----------------+---------------+-------- .... ooox&#x ♦ 1 1 1 2 | 1 1 2 1 2 2 1 | 1 2 2 1 2 1 1 0 | 2 1 1 0 1 0 0 | 3 * * * oo.o3oo.x&#x ♦ 1 1 0 3 | 1 0 3 0 3 0 3 | 0 3 0 3 0 3 0 1 | 0 3 0 1 0 1 0 | * 1 * * o.oo3o.ox&#x ♦ 1 0 1 3 | 0 1 3 0 0 3 3 | 0 0 3 3 0 0 3 1 | 0 0 3 1 0 0 1 | * * 1 * .ooo3.oox&#x ♦ 0 1 1 3 | 0 0 0 1 3 3 3 | 0 0 0 0 3 3 3 1 | 0 0 0 0 3 1 1 | * * * 1
oooox&#x → height(1,2) = height(1,3) = height(1,4) = height(2,3) = height(2,4) = height(3,4) = 1 height(1,5) = height(2,5) = height(3,5) = height(4,5) = sqrt(3)/2 = 0.866025 o.... | 1 * * * * ♦ 1 1 1 2 0 0 0 0 0 0 0 | 1 1 2 1 2 2 1 0 0 0 0 0 0 0 | 1 2 2 1 2 1 1 0 0 0 0 | 2 1 1 1 0 .o... | * 1 * * * ♦ 1 0 0 0 1 1 2 0 0 0 0 | 1 1 2 0 0 0 0 1 2 2 1 0 0 0 | 1 2 2 1 0 0 0 2 1 1 0 | 2 1 1 0 1 ..o.. | * * 1 * * ♦ 0 1 0 0 1 0 0 1 2 0 0 | 1 0 0 1 2 0 0 1 2 0 0 2 1 0 | 1 2 0 0 2 1 0 2 1 0 1 | 2 1 0 1 1 ...o. | * * * 1 * ♦ 0 0 1 0 0 1 0 1 0 2 0 | 0 1 0 1 0 2 0 1 0 2 0 2 0 1 | 1 0 2 0 2 0 1 2 0 1 1 | 2 0 1 1 1 ....o | * * * * 2 ♦ 0 0 0 1 0 0 1 0 1 1 1 | 0 0 1 0 1 1 1 0 1 1 1 1 1 1 | 0 1 1 1 1 1 1 1 1 1 1 | 1 1 1 1 1 ---------+-----------+-----------------------+-----------------------------+-----------------------+---------- oo...&#x | 1 1 0 0 0 | 1 * * * * * * * * * * ♦ 1 1 2 0 0 0 0 0 0 0 0 0 0 0 | 1 2 2 1 0 0 0 0 0 0 0 | 2 1 1 0 0 o.o..&#x | 1 0 1 0 0 | * 1 * * * * * * * * * ♦ 1 0 0 1 2 0 0 0 0 0 0 0 0 0 | 1 2 0 0 2 1 0 0 0 0 0 | 2 1 0 1 0 o..o.&#x | 1 0 0 1 0 | * * 1 * * * * * * * * ♦ 0 1 0 1 0 2 0 0 0 0 0 0 0 0 | 1 0 2 0 2 0 1 0 0 0 0 | 2 0 1 1 0 o...o&#x | 1 0 0 0 1 | * * * 2 * * * * * * * ♦ 0 0 1 0 1 1 1 0 0 0 0 0 0 0 | 0 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 0 .oo..&#x | 0 1 1 0 0 | * * * * 1 * * * * * * ♦ 1 0 0 0 0 0 0 1 2 0 0 0 0 0 | 1 2 0 0 0 0 0 2 1 0 0 | 2 1 0 0 1 .o.o.&#x | 0 1 0 1 0 | * * * * * 1 * * * * * ♦ 0 1 0 0 0 0 0 1 0 2 0 0 0 0 | 1 0 2 0 0 0 0 2 0 1 0 | 2 0 1 0 1 .o..o&#x | 0 1 0 0 1 | * * * * * * 2 * * * * ♦ 0 0 1 0 0 0 0 0 1 1 1 0 0 0 | 0 1 1 1 0 0 0 1 1 1 0 | 1 1 1 0 1 ..oo.&#x | 0 0 1 1 0 | * * * * * * * 1 * * * ♦ 0 0 0 1 0 0 0 1 0 0 0 2 0 0 | 1 0 0 0 2 0 0 2 0 0 1 | 2 0 0 1 1 ..o.o&#x | 0 0 1 0 1 | * * * * * * * * 2 * * ♦ 0 0 0 0 1 0 0 0 1 0 0 1 1 0 | 0 1 0 0 1 1 0 1 1 0 1 | 1 1 0 1 1 ...oo&#x | 0 0 0 1 1 | * * * * * * * * * 2 * ♦ 0 0 0 0 0 1 0 0 0 1 0 1 0 1 | 0 0 1 0 1 0 1 1 0 1 1 | 1 0 1 1 1 ....x | 0 0 0 0 2 | * * * * * * * * * * 1 ♦ 0 0 0 0 0 0 1 0 0 0 1 0 1 1 | 0 0 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1 ---------+-----------+-----------------------+-----------------------------+-----------------------+---------- ooo..&#x | 1 1 1 0 0 | 1 1 0 0 1 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * | 1 2 0 0 0 0 0 0 0 0 0 | 2 1 0 0 0 oo.o.&#x | 1 1 0 1 0 | 1 0 1 0 0 1 0 0 0 0 0 | * 1 * * * * * * * * * * * * | 1 0 2 0 0 0 0 0 0 0 0 | 2 0 1 0 0 oo..o&#x | 1 1 0 0 1 | 1 0 0 1 0 0 1 0 0 0 0 | * * 2 * * * * * * * * * * * | 0 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0 o.oo.&#x | 1 0 1 1 0 | 0 1 1 0 0 0 0 1 0 0 0 | * * * 1 * * * * * * * * * * | 1 0 0 0 2 0 0 0 0 0 0 | 2 0 0 1 0 o.o.o&#x | 1 0 1 0 1 | 0 1 0 1 0 0 0 0 1 0 0 | * * * * 2 * * * * * * * * * | 0 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0 o..oo&#x | 1 0 0 1 1 | 0 0 1 1 0 0 0 0 0 1 0 | * * * * * 2 * * * * * * * * | 0 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0 o...x&#x | 1 0 0 0 2 | 0 0 0 2 0 0 0 0 0 0 1 | * * * * * * 1 * * * * * * * | 0 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 .ooo.&#x | 0 1 1 1 0 | 0 0 0 0 1 1 0 1 0 0 0 | * * * * * * * 1 * * * * * * | 1 0 0 0 0 0 0 2 0 0 0 | 2 0 0 0 1 .oo.o&#x | 0 1 1 0 1 | 0 0 0 0 1 0 1 0 1 0 0 | * * * * * * * * 2 * * * * * | 0 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1 .o.oo&#x | 0 1 0 1 1 | 0 0 0 0 0 1 1 0 0 1 0 | * * * * * * * * * 2 * * * * | 0 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1 .o..x&#x | 0 1 0 0 2 | 0 0 0 0 0 0 2 0 0 0 1 | * * * * * * * * * * 1 * * * | 0 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 ..ooo&#x | 0 0 1 1 1 | 0 0 0 0 0 0 0 1 1 1 0 | * * * * * * * * * * * 2 * * | 0 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 ..o.x&#x | 0 0 1 0 2 | 0 0 0 0 0 0 0 0 2 0 1 | * * * * * * * * * * * * 1 * | 0 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 ...ox&#x | 0 0 0 1 2 | 0 0 0 0 0 0 0 0 0 2 1 | * * * * * * * * * * * * * 1 | 0 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ---------+-----------+-----------------------+-----------------------------+-----------------------+---------- oooo.&#x ♦ 1 1 1 1 0 | 1 1 1 0 1 1 0 1 0 0 0 | 1 1 0 1 0 0 0 1 0 0 0 0 0 0 | 1 * * * * * * * * * * | 2 0 0 0 0 ooo.o&#x ♦ 1 1 1 0 1 | 1 1 0 1 1 0 1 0 1 0 0 | 1 0 1 0 1 0 0 0 1 0 0 0 0 0 | * 2 * * * * * * * * * | 1 1 0 0 0 oo.oo&#x ♦ 1 1 0 1 1 | 1 0 1 1 0 1 1 0 0 1 0 | 0 1 1 0 0 1 0 0 0 1 0 0 0 0 | * * 2 * * * * * * * * | 1 0 1 0 0 oo..x&#x ♦ 1 1 0 0 2 | 1 0 0 2 0 0 2 0 0 0 1 | 0 0 2 0 0 0 1 0 0 0 1 0 0 0 | * * * 1 * * * * * * * | 0 1 1 0 0 o.ooo&#x ♦ 1 0 1 1 1 | 0 1 1 1 0 0 0 1 1 1 0 | 0 0 0 1 1 1 0 0 0 0 0 1 0 0 | * * * * 2 * * * * * * | 1 0 0 1 0 o.o.x&#x ♦ 1 0 1 0 2 | 0 1 0 2 0 0 0 0 2 0 1 | 0 0 0 0 2 0 1 0 0 0 0 0 1 0 | * * * * * 1 * * * * * | 0 1 0 1 0 o..ox&#x ♦ 1 0 0 1 2 | 0 0 1 2 0 0 0 0 0 2 1 | 0 0 0 0 0 2 1 0 0 0 0 0 0 1 | * * * * * * 1 * * * * | 0 0 1 1 0 .oooo&#x ♦ 0 1 1 1 1 | 0 0 0 0 1 1 1 1 1 1 0 | 0 0 0 0 0 0 0 1 1 1 0 1 0 0 | * * * * * * * 2 * * * | 1 0 0 0 1 .oo.x&#x ♦ 0 1 1 0 2 | 0 0 0 0 1 0 2 0 2 0 1 | 0 0 0 0 0 0 0 0 2 0 1 0 1 0 | * * * * * * * * 1 * * | 0 1 0 0 1 .o.ox&#x ♦ 0 1 0 1 2 | 0 0 0 0 0 1 2 0 0 2 1 | 0 0 0 0 0 0 0 0 0 2 1 0 0 1 | * * * * * * * * * 1 * | 0 0 1 0 1 ..oox&#x ♦ 0 0 1 1 2 | 0 0 0 0 0 0 0 1 2 2 1 | 0 0 0 0 0 0 0 0 0 0 0 2 1 1 | * * * * * * * * * * 1 | 0 0 0 1 1 ---------+-----------+-----------------------+-----------------------------+-----------------------+---------- ooooo&#x ♦ 1 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 0 | 1 1 1 1 1 1 0 1 1 1 0 1 0 0 | 1 1 1 0 1 0 0 1 0 0 0 | 2 * * * * ooo.x&#x ♦ 1 1 1 0 2 | 1 1 0 2 1 0 2 0 2 0 1 | 1 0 2 0 2 0 1 0 2 0 1 0 1 0 | 0 2 0 1 0 1 0 0 1 0 0 | * 1 * * * oo.ox&#x ♦ 1 1 0 1 2 | 1 0 1 2 0 1 2 0 0 2 1 | 0 1 2 0 0 2 1 0 0 2 1 0 0 1 | 0 0 2 1 0 0 1 0 0 1 0 | * * 1 * * o.oox&#x ♦ 1 0 1 1 2 | 0 1 1 2 0 0 0 1 2 2 1 | 0 0 0 1 2 2 1 0 0 0 0 2 1 1 | 0 0 0 0 2 1 1 0 0 0 1 | * * * 1 * .ooox&#x ♦ 0 1 1 1 2 | 0 0 0 0 1 1 2 1 2 2 1 | 0 0 0 0 0 0 0 1 2 2 1 2 1 1 | 0 0 0 0 0 0 0 2 1 1 1 | * * * * 1
oooooo&#x → all pairwise heights = 1 o..... | 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 1 0 0 0 0 0 0 0 0 0 0 | 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 | 1 1 1 1 1 0 .o.... | * 1 * * * * ♦ 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 | 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 1 1 1 1 0 | 1 1 1 1 0 1 ..o... | * * 1 * * * ♦ 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 | 1 0 0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0 | 1 1 1 0 0 0 1 1 1 0 1 1 1 0 1 | 1 1 1 0 1 1 ...o.. | * * * 1 * * ♦ 0 0 1 0 0 0 1 0 0 1 0 0 1 1 0 | 0 1 0 0 1 0 0 1 1 0 1 0 0 1 1 0 1 1 0 1 | 1 0 0 1 1 0 1 1 0 1 1 1 0 1 1 | 1 1 0 1 1 1 ....o. | * * * * 1 * ♦ 0 0 0 1 0 0 0 1 0 0 1 0 1 0 1 | 0 0 1 0 0 1 0 1 0 1 0 1 0 1 0 1 1 0 1 1 | 0 1 0 1 0 1 1 0 1 1 1 0 1 1 1 | 1 0 1 1 1 1 .....o | * * * * * 1 ♦ 0 0 0 0 1 0 0 0 1 0 0 1 0 1 1 | 0 0 0 1 0 0 1 0 1 1 0 0 1 0 1 1 0 1 1 1 | 0 0 1 0 1 1 0 1 1 1 0 1 1 1 1 | 0 1 1 1 1 1 ----------+-------------+-------------------------------+-----------------------------------------+-------------------------------+------------ oo....&#x | 1 1 0 0 0 0 | 1 * * * * * * * * * * * * * * ♦ 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 o.o...&#x | 1 0 1 0 0 0 | * 1 * * * * * * * * * * * * * ♦ 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 1 1 1 0 0 0 0 0 0 | 1 1 1 0 1 0 o..o..&#x | 1 0 0 1 0 0 | * * 1 * * * * * * * * * * * * ♦ 0 1 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 | 1 0 0 1 1 0 1 1 0 1 0 0 0 0 0 | 1 1 0 1 1 0 o...o.&#x | 1 0 0 0 1 0 | * * * 1 * * * * * * * * * * * ♦ 0 0 1 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 | 0 1 0 1 0 1 1 0 1 1 0 0 0 0 0 | 1 0 1 1 1 0 o....o&#x | 1 0 0 0 0 1 | * * * * 1 * * * * * * * * * * ♦ 0 0 0 1 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 | 0 0 1 0 1 1 0 1 1 1 0 0 0 0 0 | 0 1 1 1 1 0 .oo...&#x | 0 1 1 0 0 0 | * * * * * 1 * * * * * * * * * ♦ 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0 0 0 0 0 0 1 1 1 0 0 | 1 1 1 0 0 1 .o.o..&#x | 0 1 0 1 0 0 | * * * * * * 1 * * * * * * * * ♦ 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 | 1 0 0 1 1 0 0 0 0 0 1 1 0 1 0 | 1 1 0 1 0 1 .o..o.&#x | 0 1 0 0 1 0 | * * * * * * * 1 * * * * * * * ♦ 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 | 0 1 0 1 0 1 0 0 0 0 1 0 1 1 0 | 1 0 1 1 0 1 .o...o&#x | 0 1 0 0 0 1 | * * * * * * * * 1 * * * * * * ♦ 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 | 0 0 1 0 1 1 0 0 0 0 0 1 1 1 0 | 0 1 1 1 0 1 ..oo..&#x | 0 0 1 1 0 0 | * * * * * * * * * 1 * * * * * ♦ 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 | 1 0 0 0 0 0 1 1 0 0 1 1 0 0 1 | 1 1 0 0 1 1 ..o.o.&#x | 0 0 1 0 1 0 | * * * * * * * * * * 1 * * * * ♦ 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 0 1 0 | 0 1 0 0 0 0 1 0 1 0 1 0 1 0 1 | 1 0 1 0 1 1 ..o..o&#x | 0 0 1 0 0 1 | * * * * * * * * * * * 1 * * * ♦ 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 1 0 | 0 0 1 0 0 0 0 1 1 0 0 1 1 0 1 | 0 1 1 0 1 1 ...oo.&#x | 0 0 0 1 1 0 | * * * * * * * * * * * * 1 * * ♦ 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 1 | 0 0 0 1 0 0 1 0 0 1 1 0 0 1 1 | 1 0 0 1 1 1 ...o.o&#x | 0 0 0 1 0 1 | * * * * * * * * * * * * * 1 * ♦ 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 1 | 0 0 0 0 1 0 0 1 0 1 0 1 0 1 1 | 0 1 0 1 1 1 ....oo&#x | 0 0 0 0 1 1 | * * * * * * * * * * * * * * 1 ♦ 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 | 0 0 0 0 0 1 0 0 1 1 0 0 1 1 1 | 0 0 1 1 1 1 ----------+-------------+-------------------------------+-----------------------------------------+-------------------------------+------------ ooo...&#x | 1 1 1 0 0 0 | 1 1 0 0 0 1 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 | 1 1 1 0 0 0 oo.o..&#x | 1 1 0 1 0 0 | 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 | * 1 * * * * * * * * * * * * * * * * * * | 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0 oo..o.&#x | 1 1 0 0 1 0 | 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 | * * 1 * * * * * * * * * * * * * * * * * | 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 | 1 0 1 1 0 0 oo...o&#x | 1 1 0 0 0 1 | 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 | * * * 1 * * * * * * * * * * * * * * * * | 0 0 1 0 1 1 0 0 0 0 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0 | * * * 1 * * * * * * * * * * * | 1 0 0 1 0 0 oo.o.o&#x ♦ 1 1 0 1 0 1 | 1 0 1 0 1 0 1 0 1 0 0 0 0 1 0 | 0 1 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 | * * * * 1 * * * * * * * * * * | 0 1 0 1 0 0 oo..oo&#x ♦ 1 1 0 0 1 1 | 1 0 0 1 1 0 0 1 1 0 0 0 0 0 1 | 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 | * * * * * 1 * * * * * * * * * | 0 0 1 1 0 0 o.ooo.&#x ♦ 1 0 1 1 1 0 | 0 1 1 1 0 0 0 0 0 1 1 0 1 0 0 | 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 | * * * * * * 1 * * * * * * * * | 1 0 0 0 1 0 o.oo.o&#x ♦ 1 0 1 1 0 1 | 0 1 1 0 1 0 0 0 0 1 0 1 0 1 0 | 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 1 0 0 | * * * * * * * 1 * * * * * * * | 0 1 0 0 1 0 o.o.oo&#x ♦ 1 0 1 0 1 1 | 0 1 0 1 1 0 0 0 0 0 1 1 0 0 1 | 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 0 0 1 0 | * * * * * * * * 1 * * * * * * | 0 0 1 0 1 0 o..ooo&#x ♦ 1 0 0 1 1 1 | 0 0 1 1 1 0 0 0 0 0 0 0 1 1 1 | 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 | * * * * * * * * * 1 * * * * * | 0 0 0 1 1 0 .oooo.&#x ♦ 0 1 1 1 1 0 | 0 0 0 0 0 1 1 1 0 1 1 0 1 0 0 | 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 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0 1 0 1 0 0 1 0 0 | 1 0 1 0 1 0 0 1 0 0 0 1 0 0 0 | * 1 * * * * ooo.oo&#x ♦ 1 1 1 0 1 1 | 1 1 0 1 1 1 0 1 1 0 1 1 0 0 1 | 1 0 1 1 0 1 1 0 0 1 0 1 1 0 0 1 0 0 1 0 | 0 1 1 0 0 1 0 0 1 0 0 0 1 0 0 | * * 1 * * * oo.ooo&#x ♦ 1 1 0 1 1 1 | 1 0 1 1 1 0 1 1 1 0 0 0 1 1 1 | 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 | 0 0 0 1 1 1 0 0 0 1 0 0 0 1 0 | * * * 1 * * o.oooo&#x ♦ 1 0 1 1 1 1 | 0 1 1 1 1 0 0 0 0 1 1 1 1 1 1 | 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 1 | 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 | * * * * 1 * .ooooo&#x ♦ 0 1 1 1 1 1 | 0 0 0 0 0 1 1 1 1 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 1 | 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 | * * * * * 1
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