Acronym | hexasc |
Name |
hexadecachoric scalene, hexadecachoron-pyramid pyramid, line atop fully orthogonal hexadecachoron, 1/4-lune of hexacontatetrapeton |
Circumradius | 1/sqrt(2) = 0.707107 |
Lace city in approx. ASCII-art |
o where: o = o3o3o4o (point) H o H = x3o3o4o (hex) |
Coordinates |
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Dihedral angles | |
Face vector | 10, 41, 88, 104, 65, 18 |
Confer |
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Incidence matrix according to Dynkin symbol
xo ox3oo3oo4oo&#x → height = 1/2 (pyramid product of line with hex) o. o.3o.3o.4o. | 2 * ♦ 1 8 0 | 8 24 0 | 24 32 0 | 32 16 0 | 16 1 .o .o3.o3.o4.o | * 8 ♦ 0 2 6 | 1 12 12 | 6 24 8 | 12 16 1 | 8 2 ------------------+-----+---------+---------+----------+---------+----- x. .. .. .. .. | 2 0 | 1 * * ♦ 8 0 0 | 24 0 0 | 32 0 0 | 16 0 oo oo3oo3oo4oo&#x | 1 1 | * 16 * ♦ 1 6 0 | 6 12 0 | 12 8 0 | 8 1 .. .x .. .. .. | 0 2 | * * 24 ♦ 0 2 4 | 1 8 4 | 4 8 1 | 4 2 ------------------+-----+---------+---------+----------+---------+----- xo .. .. .. ..&#x | 2 1 | 1 2 0 | 8 * * ♦ 6 0 0 | 12 0 0 | 8 0 .. ox .. .. ..&#x | 1 2 | 0 2 1 | * 48 * ♦ 1 4 0 | 4 4 0 | 4 1 .. .x3.o .. .. | 0 3 | 0 0 3 | * * 32 | 0 2 2 | 1 4 1 | 2 2 ------------------+-----+---------+---------+----------+---------+----- xo ox .. .. ..&#x ♦ 2 2 | 1 4 1 | 2 2 0 | 24 * * | 4 0 0 | 4 0 .. ox3oo .. ..&#x ♦ 1 3 | 0 3 3 | 0 3 1 | * 64 * | 1 2 0 | 2 1 .. .x3.o3.o .. ♦ 0 4 | 0 0 6 | 0 0 4 | * * 16 | 0 2 1 | 1 2 ------------------+-----+---------+---------+----------+---------+----- xo ox3oo .. ..&#x ♦ 2 3 | 1 6 3 | 3 6 1 | 3 2 0 | 32 * * | 2 0 .. ox3oo3oo ..&#x ♦ 1 4 | 0 4 6 | 0 6 4 | 0 4 1 | * 32 * | 1 1 .. .x3.o3.o4.o ♦ 0 8 | 0 0 24 | 0 0 32 | 0 0 16 | * * 1 | 0 2 ------------------+-----+---------+---------+----------+---------+----- xo ox3oo3oo ..&#x ♦ 2 4 | 1 8 6 | 4 12 4 | 6 8 1 | 4 2 0 | 16 * .. ox3oo3oo4oo&#x ♦ 1 8 | 0 8 24 | 0 24 32 | 0 32 16 | 0 16 1 | * 2
xo ox3oo3oo *c3oo&#x → height = 1/2 (pyramid product of line with hex) o. o.3o.3o. *c3o. | 2 * ♦ 1 8 0 | 8 24 0 | 24 32 0 0 | 32 8 8 0 | 8 8 1 .o .o3.o3.o *c3.o | * 8 ♦ 0 2 6 | 1 12 12 | 6 24 4 4 | 12 8 8 1 | 4 4 2 ---------------------+-----+---------+---------+-----------+------------+------ x. .. .. .. .. | 2 0 | 1 * * ♦ 8 0 0 | 24 0 0 0 | 32 0 0 0 | 8 8 0 oo oo3oo3oo *c3oo&#x | 1 1 | * 16 * ♦ 1 6 0 | 6 12 0 0 | 12 4 4 0 | 4 4 1 .. .x .. .. .. | 0 2 | * * 24 ♦ 0 2 4 | 1 8 2 2 | 4 4 4 1 | 2 2 2 ---------------------+-----+---------+---------+-----------+------------+------ xo .. .. .. ..&#x | 2 1 | 1 2 0 | 8 * * ♦ 6 0 0 0 | 12 0 0 0 | 4 4 0 .. ox .. .. ..&#x | 1 2 | 0 2 1 | * 48 * ♦ 1 4 0 0 | 4 2 2 0 | 2 2 1 .. .x3.o .. .. | 0 3 | 0 0 3 | * * 32 | 0 2 1 1 | 1 2 2 1 | 1 1 2 ---------------------+-----+---------+---------+-----------+------------+------ xo ox .. .. ..&#x ♦ 2 2 | 1 4 1 | 2 2 0 | 24 * * * | 4 0 0 0 | 2 2 0 .. ox3oo .. ..&#x ♦ 1 3 | 0 3 3 | 0 3 1 | * 64 * * | 1 1 1 0 | 1 1 1 .. .x3.o3.o .. ♦ 0 4 | 0 0 6 | 0 0 4 | * * 8 * | 0 2 0 1 | 1 0 2 .. .x3.o .. *c3.o ♦ 0 4 | 0 0 6 | 0 0 4 | * * * 8 | 0 0 2 1 | 0 1 2 ---------------------+-----+---------+---------+-----------+------------+------ xo ox3oo .. ..&#x ♦ 2 3 | 1 6 3 | 3 6 1 | 3 2 0 0 | 32 * * * | 1 1 0 .. ox3oo3oo ..&#x ♦ 1 4 | 0 4 6 | 0 6 4 | 0 4 1 0 | * 16 * * | 1 0 1 .. ox3oo .. *c3oo&#x ♦ 1 4 | 0 4 6 | 0 6 4 | 0 4 0 1 | * * 16 * | 0 1 1 .. .x3.o3.o *c3.o ♦ 0 8 | 0 0 24 | 0 0 32 | 0 0 8 8 | * * * 1 | 0 0 2 ---------------------+-----+---------+---------+-----------+------------+------ xo ox3oo3oo ..&#x ♦ 2 4 | 1 8 6 | 4 12 4 | 6 8 1 0 | 4 2 0 0 | 8 * * xo ox3oo .. *c3oo&#x ♦ 2 4 | 1 8 6 | 4 12 4 | 6 8 0 1 | 4 0 2 0 | * 8 * .. ox3oo3oo *c3oo&#x ♦ 1 8 | 0 8 24 | 0 24 32 | 0 32 8 8 | 0 8 8 1 | * * 2
xoo3ooo3ooo *b3ooo&#x → height(1,2) = height(1,3) = 1/sqrt(2) = 0.707107 height(2,3) = 1 (hex,pt,pt)-trigonic o..3o..3o.. *b3o.. | 8 * * ♦ 6 1 1 0 | 12 6 1 6 | 4 4 12 6 12 | 1 4 4 12 4 4 | 1 4 4 1 .o.3.o.3.o. *b3.o. | * 1 * ♦ 0 8 0 1 | 0 24 8 0 | 0 0 32 24 0 | 0 8 8 32 0 0 | 1 8 8 0 ..o3..o3..o *b3..o | * * 1 ♦ 0 0 8 1 | 0 0 8 24 | 0 0 0 24 32 | 0 0 0 32 8 8 | 0 8 8 1 ----------------------+-------+----------+------------+--------------+--------------+-------- x.. ... ... ... | 2 0 0 | 24 * * * ♦ 4 1 0 1 | 2 2 4 1 4 | 1 2 2 4 2 2 | 1 2 2 1 oo.3oo.3oo. *b3oo.&#x | 1 1 0 | * 8 * * ♦ 0 6 1 0 | 0 0 12 6 0 | 0 4 4 12 0 0 | 1 4 4 0 o.o3o.o3o.o *b3o.o&#x | 1 0 1 | * * 8 * ♦ 0 0 1 6 | 0 0 0 6 12 | 0 0 0 12 4 4 | 0 4 4 1 .oo3.oo3.oo *b3.oo&#x | 0 1 1 | * * * 1 ♦ 0 0 8 0 | 0 0 0 24 0 | 0 0 0 32 0 0 | 0 8 8 0 ----------------------+-------+----------+------------+--------------+--------------+-------- x..3o.. ... ... | 3 0 0 | 3 0 0 0 | 32 * * * | 1 1 1 0 1 | 1 1 1 1 1 1 | 1 1 1 1 xo. ... ... ...&#x | 2 1 0 | 1 2 0 0 | * 24 * * ♦ 0 0 4 1 0 | 0 2 2 4 0 0 | 1 2 2 0 ooo3ooo3ooo *b3ooo&#x | 1 1 1 | 0 1 1 1 | * * 8 * ♦ 0 0 0 6 0 | 0 0 0 12 0 0 | 0 4 4 0 x.o ... ... ...&#x | 2 0 1 | 1 0 2 0 | * * * 24 ♦ 0 0 0 1 4 | 0 0 0 4 2 2 | 0 2 2 1 ----------------------+-------+----------+------------+--------------+--------------+-------- x..3o..3o.. ... ♦ 4 0 0 | 6 0 0 0 | 4 0 0 0 | 8 * * * * | 1 1 0 0 1 0 | 1 1 0 1 x..3o.. ... *b3o.. ♦ 4 0 0 | 6 0 0 0 | 4 0 0 0 | * 8 * * * | 1 0 1 0 0 1 | 1 0 1 1 xo.3oo. ... ...&#x ♦ 3 1 0 | 3 3 0 0 | 1 3 0 0 | * * 32 * * | 0 1 1 1 0 0 | 1 1 1 0 xoo ... ... ...&#x ♦ 2 1 1 | 1 2 2 1 | 0 1 2 1 | * * * 24 * | 0 0 0 4 0 0 | 0 2 2 0 x.o3o.o ... ...&#x ♦ 3 0 1 | 3 0 3 0 | 1 0 0 3 | * * * * 32 | 0 0 0 1 1 1 | 0 1 1 1 ----------------------+-------+----------+------------+--------------+--------------+-------- x..3o..3o.. *b3o.. ♦ 8 0 0 | 24 0 0 0 | 32 0 0 0 | 8 8 0 0 0 | 1 * * * * * | 1 0 0 1 xo.3oo.3oo. ...&#x ♦ 4 1 0 | 6 4 0 0 | 4 6 0 0 | 1 0 4 0 0 | * 8 * * * * | 1 1 0 0 xo.3oo. ... *b3oo.&#x ♦ 4 1 0 | 6 4 0 0 | 4 6 0 0 | 0 1 4 0 0 | * * 8 * * * | 1 0 1 0 xoo3ooo ... ...&#x ♦ 3 1 1 | 3 3 3 1 | 1 3 3 3 | 0 0 1 3 1 | * * * 32 * * | 0 1 1 0 x.o3o.o3o.o ...&#x ♦ 4 0 1 | 6 0 4 0 | 4 0 0 6 | 1 0 0 0 4 | * * * * 8 * | 0 1 0 1 x.o3o.o ... *b3o.o&#x ♦ 4 0 1 | 6 0 4 0 | 4 0 0 6 | 0 1 0 0 4 | * * * * * 8 | 0 0 1 1 ----------------------+-------+----------+------------+--------------+--------------+-------- xo.3oo.3oo. *b3oo.&#x ♦ 8 1 0 | 24 8 0 0 | 32 24 0 0 | 8 8 32 0 0 | 1 8 8 0 0 0 | 1 * * * xoo3ooo3ooo ...&#x ♦ 4 1 1 | 6 4 4 1 | 4 6 4 6 | 1 0 4 6 4 | 0 1 0 4 1 0 | * 8 * * xoo3ooo ... *b3ooo&#x ♦ 4 1 1 | 6 4 4 1 | 4 6 4 6 | 0 1 4 6 4 | 0 0 1 4 0 1 | * * 8 * x.o3o.o3o.o *b3o.o&#x ♦ 8 0 1 | 24 0 8 0 | 32 0 0 24 | 8 8 0 0 32 | 1 0 0 0 8 8 | * * * 1
xoo oxo3ooo3oox&#x → height(1,2) = height(1,3) = sqrt(3/8) = 0.612372 height(2,3) = 1/sqrt(2) = 0.707107 o.. o..3o..3o.. | 2 * * ♦ 1 4 4 0 0 0 | 4 6 4 6 12 0 0 0 0 | 6 4 6 4 12 12 12 0 0 0 0 0 | 4 1 4 1 12 12 4 6 4 0 | 1 1 4 6 4 1 .o. .o.3.o.3.o. | * 4 * ♦ 0 2 0 3 3 0 | 1 6 0 0 6 3 6 3 0 | 3 6 0 0 3 12 6 1 3 3 1 0 | 3 2 0 0 6 3 6 6 2 1 | 1 0 3 3 1 2 ..o ..o3..o3..o | * * 4 ♦ 0 0 2 0 3 3 | 0 0 1 6 6 0 3 6 3 | 0 0 3 6 3 6 12 0 1 3 3 1 | 0 0 3 2 3 6 2 6 6 1 | 0 1 1 3 3 2 -------------------+-------+--------------+------------------------+----------------------------+------------------------+------------ x.. ... ... ... | 2 0 0 | 1 * * * * * ♦ 4 0 4 0 0 0 0 0 0 | 6 0 6 0 12 0 0 0 0 0 0 0 | 4 0 4 0 12 12 0 0 0 0 | 1 1 4 6 4 0 oo. oo.3oo.3oo.&#x | 1 1 0 | * 8 * * * * ♦ 1 3 0 0 3 0 0 0 0 | 3 3 0 0 3 6 3 0 0 0 0 0 | 3 1 0 0 6 3 3 3 1 0 | 1 0 3 3 1 1 o.o o.o3o.o3o.o&#x | 1 0 1 | * * 8 * * * ♦ 0 0 1 3 3 0 0 0 0 | 0 0 3 3 3 3 6 0 0 0 0 0 | 0 0 3 1 3 6 1 3 3 0 | 0 1 1 3 3 1 ... .x. ... ... | 0 2 0 | * * * 6 * * ♦ 0 2 0 0 0 2 2 0 0 | 1 4 0 0 0 4 0 1 2 1 0 0 | 2 2 0 0 2 0 4 2 0 1 | 1 0 2 1 0 2 .oo .oo3.oo3.oo&#x | 0 1 1 | * * * * 12 * ♦ 0 0 0 0 2 0 2 2 0 | 0 0 0 0 1 4 4 0 1 2 1 0 | 0 0 0 0 2 2 2 4 2 1 | 0 0 1 2 1 2 ... ... ... ..x | 0 0 2 | * * * * * 6 ♦ 0 0 0 2 0 0 0 2 2 | 0 0 1 4 0 0 4 0 0 1 2 1 | 0 0 2 2 0 2 0 2 4 1 | 0 1 0 1 2 2 -------------------+-------+--------------+------------------------+----------------------------+------------------------+------------ xo. ... ... ...&#x | 2 1 0 | 1 2 0 0 0 0 | 4 * * * * * * * * ♦ 3 0 0 0 3 0 0 0 0 0 0 0 | 3 0 0 0 6 3 0 0 0 0 | 1 0 3 3 1 0 ... ox. ... ...&#x | 1 2 0 | 0 2 0 1 0 0 | * 12 * * * * * * * ♦ 1 2 0 0 0 2 0 0 0 0 0 0 | 2 1 0 0 2 0 2 1 0 0 | 1 0 2 1 0 1 x.o ... ... ...&#x | 2 0 1 | 1 0 2 0 0 0 | * * 4 * * * * * * ♦ 0 0 3 0 3 0 0 0 0 0 0 0 | 0 0 3 0 3 6 0 0 0 0 | 0 1 1 3 3 0 ... ... ... o.x&#x | 1 0 2 | 0 0 2 0 0 1 | * * * 12 * * * * * ♦ 0 0 1 2 0 0 2 0 0 0 0 0 | 0 0 2 1 0 2 0 1 2 0 | 0 1 0 1 2 1 ooo ooo3ooo3ooo&#x | 1 1 1 | 0 1 1 0 1 0 | * * * * 24 * * * * ♦ 0 0 0 0 1 2 2 0 0 0 0 0 | 0 0 0 0 2 2 1 2 1 0 | 0 0 1 2 1 1 ... .x.3.o. ... | 0 3 0 | 0 0 0 3 0 0 | * * * * * 4 * * * | 0 2 0 0 0 0 0 1 1 0 0 0 | 1 2 0 0 0 0 2 0 0 1 | 1 0 1 0 0 2 ... .xo ... ...&#x | 0 2 1 | 0 0 0 1 2 0 | * * * * * * 12 * * | 0 0 0 0 0 2 0 0 1 1 0 0 | 0 0 0 0 1 0 2 2 0 1 | 0 0 1 1 0 2 ... ... ... .ox&#x | 0 1 2 | 0 0 0 0 2 1 | * * * * * * * 12 * | 0 0 0 0 0 0 2 0 0 1 1 0 | 0 0 0 0 0 1 0 2 2 1 | 0 0 0 1 1 2 ... ... ..o3..x | 0 0 3 | 0 0 0 0 0 3 | * * * * * * * * 4 | 0 0 0 2 0 0 0 0 0 0 1 1 | 0 0 1 2 0 0 0 0 2 1 | 0 1 0 0 1 2 -------------------+-------+--------------+------------------------+----------------------------+------------------------+------------ xo. ox. ... ...&#x ♦ 2 2 0 | 1 4 0 1 0 0 | 2 2 0 0 0 0 0 0 0 | 6 * * * * * * * * * * * | 2 0 0 0 2 0 0 0 0 0 | 1 0 2 1 0 0 ... ox.3oo. ...&#x ♦ 1 3 0 | 0 3 0 3 0 0 | 0 3 0 0 0 1 0 0 0 | * 8 * * * * * * * * * * | 1 1 0 0 0 0 1 0 0 0 | 1 0 1 0 0 1 x.o ... ... o.x&#x ♦ 2 0 2 | 1 0 4 0 0 1 | 0 0 2 2 0 0 0 0 0 | * * 6 * * * * * * * * * | 0 0 2 0 0 2 0 0 0 0 | 0 1 0 1 2 0 ... ... o.o3o.x&#x ♦ 1 0 3 | 0 0 3 0 0 3 | 0 0 0 3 0 0 0 0 1 | * * * 8 * * * * * * * * | 0 0 1 1 0 0 0 0 1 0 | 0 1 0 0 1 1 xoo ... ... ...&#x ♦ 2 1 1 | 1 2 2 0 1 0 | 1 0 1 0 2 0 0 0 0 | * * * * 12 * * * * * * * | 0 0 0 0 2 2 0 0 0 0 | 0 0 1 2 1 0 ... oxo ... ...&#x ♦ 1 2 1 | 0 2 1 1 2 0 | 0 1 0 0 2 0 1 0 0 | * * * * * 24 * * * * * * | 0 0 0 0 1 0 1 1 0 0 | 0 0 1 1 0 1 ... ... ... oox&#x ♦ 1 1 2 | 0 1 2 0 2 1 | 0 0 0 1 2 0 0 1 0 | * * * * * * 24 * * * * * | 0 0 0 0 0 1 0 1 1 0 | 0 0 0 1 1 1 ... .x.3.o.3.o. ♦ 0 4 0 | 0 0 0 6 0 0 | 0 0 0 0 0 4 0 0 0 | * * * * * * * 1 * * * * | 0 2 0 0 0 0 0 0 0 1 | 1 0 0 0 0 2 ... .xo3.oo ...&#x ♦ 0 3 1 | 0 0 0 3 3 0 | 0 0 0 0 0 1 3 0 0 | * * * * * * * * 4 * * * | 0 0 0 0 0 0 2 0 0 1 | 0 0 1 0 0 2 ... .xo ... .ox&#x ♦ 0 2 2 | 0 0 0 1 4 1 | 0 0 0 0 0 0 2 2 0 | * * * * * * * * * 6 * * | 0 0 0 0 0 0 0 2 0 1 | 0 0 0 1 0 2 ... ... .oo3.ox&#x ♦ 0 1 3 | 0 0 0 0 3 3 | 0 0 0 0 0 0 0 3 1 | * * * * * * * * * * 4 * | 0 0 0 0 0 0 0 0 2 1 | 0 0 0 0 1 2 ... ..o3..o3..x ♦ 0 0 4 | 0 0 0 0 0 6 | 0 0 0 0 0 0 0 0 4 | * * * * * * * * * * * 1 | 0 0 0 2 0 0 0 0 0 1 | 0 1 0 0 0 2 -------------------+-------+--------------+------------------------+----------------------------+------------------------+------------ xo. ox.3oo. ...&#x ♦ 2 3 0 | 1 6 0 3 0 0 | 3 6 0 0 0 1 0 0 0 | 3 2 0 0 0 0 0 0 0 0 0 0 | 4 * * * * * * * * * | 1 0 1 0 0 0 ... ox.3oo.3oo.&#x ♦ 1 4 0 | 0 4 0 6 0 0 | 0 6 0 0 0 4 0 0 0 | 0 4 0 0 0 0 0 1 0 0 0 0 | * 2 * * * * * * * * | 1 0 0 0 0 1 x.o ... o.o3o.x&#x ♦ 2 0 3 | 1 0 6 0 0 3 | 0 0 3 6 0 0 0 0 1 | 0 0 3 2 0 0 0 0 0 0 0 0 | * * 4 * * * * * * * | 0 1 0 0 1 0 ... o.o3o.o3o.x&#x ♦ 1 0 4 | 0 0 4 0 0 6 | 0 0 0 6 0 0 0 0 4 | 0 0 0 4 0 0 0 0 0 0 0 1 | * * * 2 * * * * * * | 0 1 0 0 0 1 xoo oxo ... ...&#x ♦ 2 2 1 | 1 4 2 1 2 0 | 2 2 1 0 4 0 1 0 0 | 1 0 0 0 2 2 0 0 0 0 0 0 | * * * * 12 * * * * * | 0 0 1 1 0 0 xoo ... ... oox&#x ♦ 2 1 2 | 1 2 4 0 2 1 | 1 0 2 2 4 0 0 1 0 | 0 0 1 0 2 0 2 0 0 0 0 0 | * * * * * 12 * * * * | 0 0 0 1 1 0 ... oxo3ooo ...&#x ♦ 1 3 1 | 0 3 1 3 3 0 | 0 3 0 0 3 1 3 0 0 | 0 1 0 0 0 3 0 0 1 0 0 0 | * * * * * * 8 * * * | 0 0 1 0 0 1 ... oxo ... oox&#x ♦ 1 2 2 | 0 2 2 1 4 1 | 0 1 0 1 4 0 2 2 0 | 0 0 0 0 0 2 2 0 0 1 0 0 | * * * * * * * 12 * * | 0 0 0 1 0 1 ... ... ooo3oox&#x ♦ 1 1 3 | 0 1 3 0 3 3 | 0 0 0 3 3 0 0 3 1 | 0 0 0 1 0 0 3 0 0 0 1 0 | * * * * * * * * 8 * | 0 0 0 0 1 1 ... .xo3.oo3.ox&#x ♦ 0 4 4 | 0 0 0 6 12 6 | 0 0 0 0 0 4 12 12 4 | 0 0 0 0 0 0 0 1 4 6 4 1 | * * * * * * * * * 1 | 0 0 0 0 0 2 -------------------+-------+--------------+------------------------+----------------------------+------------------------+------------ xo. ox.3oo.3oo.&#x ♦ 2 4 0 | 1 8 0 6 0 0 | 4 12 0 0 0 4 0 0 0 | 6 8 0 0 0 0 0 1 0 0 0 0 | 4 2 0 0 0 0 0 0 0 0 | 1 * * * * * x.o o.o3o.o3o.x&#x ♦ 2 0 4 | 1 0 8 0 0 6 | 0 0 4 12 0 0 0 0 4 | 0 0 6 8 0 0 0 0 0 0 0 1 | 0 0 4 2 0 0 0 0 0 0 | * 1 * * * * xoo oxo3ooo ...&#x ♦ 2 3 1 | 1 6 2 3 3 0 | 3 6 1 0 6 1 3 0 0 | 3 2 0 0 3 6 0 0 1 0 0 0 | 1 0 0 0 3 0 2 0 0 0 | * * 4 * * * xoo oxo ... oox&#x ♦ 2 2 2 | 1 4 4 1 4 1 | 2 2 2 2 8 0 2 2 0 | 1 0 1 0 4 4 4 0 0 1 0 0 | 0 0 0 0 2 2 0 2 0 0 | * * * 6 * * xoo ... ooo3oox&#x ♦ 2 1 3 | 1 2 6 0 3 3 | 1 0 3 6 6 0 0 3 1 | 0 0 3 2 3 0 6 0 0 0 1 0 | 0 0 1 0 0 3 0 0 2 0 | * * * * 4 * ... oxo3ooo3oox&#x ♦ 1 4 4 | 0 4 4 6 12 6 | 0 6 0 6 12 4 12 12 4 | 0 4 0 4 0 12 12 1 4 6 4 1 | 0 1 0 1 0 0 4 6 4 1 | * * * * * 2
o(xo) o(ox) o(xo) o(ox) x(oo)&#x → height(1,2) = height(1,3) = 1/2 height(2,3) = 0 (pyramid product of a line and 2 squares) o(..) o(..) o(..) o(..) o(..) | 2 * ♦ 1 8 0 0 | 8 8 16 0 | 8 32 16 0 | 16 32 0 | 16 1 .(o.) .(o.) .(o.) .(o.) .(o.) & | * 8 ♦ 0 2 2 4 | 4 1 8 12 | 2 24 4 8 | 16 12 1 | 8 2 -----------------------------------+-----+-----------+------------+------------+---------+----- .(..) .(..) .(..) .(..) x(..) | 2 0 | 1 * * * ♦ 0 8 0 0 | 8 0 16 0 | 0 32 0 | 16 0 o(o.) o(o.) o(o.) o(o.) o(o.)&#x & | 1 1 | * 16 * * ♦ 2 1 4 0 | 2 12 4 0 | 8 12 0 | 8 1 .(x.) .(..) .(..) .(..) .(..) & | 0 2 | * * 8 * ♦ 2 0 0 4 | 1 8 0 4 | 8 4 1 | 4 2 .(oo) .(oo) .(oo) .(oo) .(oo)&#x | 0 2 | * * * 16 ♦ 0 0 2 4 | 0 8 1 4 | 8 4 1 | 4 2 -----------------------------------+-----+-----------+------------+------------+---------+----- o(x.) .(..) .(..) .(..) .(..)&#x & | 1 2 | 0 2 1 0 | 16 * * * ♦ 1 4 0 0 | 4 4 0 | 4 1 .(..) .(..) .(..) .(..) x(o.)&#x & | 2 1 | 1 2 0 0 | * 8 * * ♦ 2 0 4 0 | 0 12 0 | 8 0 o(oo) o(oo) o(oo) o(oo) o(oo)&#x | 1 2 | 0 2 0 1 | * * 32 * ♦ 0 4 1 0 | 4 4 0 | 4 1 .(xo) .(..) .(..) .(..) .(..)&#x & | 0 3 | 0 0 1 2 | * * * 32 | 0 2 0 2 | 4 1 1 | 2 2 -----------------------------------+-----+-----------+------------+------------+---------+----- o(x.) .(..) .(..) .(..) x(o.)&#x & ♦ 2 2 | 1 4 1 0 | 2 2 0 0 | 8 * * * | 0 4 0 | 4 0 o(xo) .(..) .(..) .(..) .(..)&#x & ♦ 1 3 | 0 3 1 2 | 1 0 2 1 | * 64 * * | 2 1 0 | 2 1 .(..) .(..) .(..) .(..) x(oo)&#x ♦ 2 2 | 1 4 0 1 | 0 2 2 0 | * * 16 * | 0 4 0 | 4 0 .(xo) .(ox) .(..) .(..) .(..)&#x & ♦ 0 4 | 0 0 2 4 | 0 0 0 4 | * * * 16 | 2 0 1 | 1 2 -----------------------------------+-----+-----------+------------+------------+---------+----- o(xo) o(ox) .(..) .(..) .(..)&#x & ♦ 1 4 | 0 4 2 4 | 2 0 4 4 | 0 4 0 1 | 32 * * | 1 1 o(xo) .(..) .(..) .(..) x(oo)&#x & ♦ 2 3 | 1 6 1 2 | 2 3 4 1 | 1 2 2 0 | * 32 * | 2 0 .(xo) .(ox) .(xo) .(ox) .(..)&#x ♦ 0 8 | 0 0 8 16 | 0 0 0 32 | 0 0 0 16 | * * 1 | 0 2 -----------------------------------+-----+-----------+------------+------------+---------+----- o(xo) o(ox) .(..) .(..) x(oo)&#x & ♦ 2 4 | 1 8 2 4 | 4 4 8 4 | 2 8 4 1 | 2 4 0 | 16 * o(xo) o(ox) o(xo) o(ox) .(..)&#x ♦ 1 8 | 0 8 8 16 | 8 0 16 32 | 0 32 0 16 | 16 0 1 | * 2
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