| Acronym | span | ||
| Name |
small prismated penteract, runcinated penteract | ||
| Circumradius | sqrt(2)+1/2 = 1.914214 | ||
| Vertex figure |
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Lace city in approx. ASCII-art |
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| Coordinates | ((1+sqrt(2))/2, (1+sqrt(2))/2, 1/2, 1/2, 1/2) & all permutations, all changes of sign | ||
| General of army | (is itself convex) | ||
| Colonel of regiment | (is itself locally convex – other uniform polyteral members: sirpin & others) | ||
| Face vector | 320, 1440, 2160, 1240, 202 | ||
| Confer |
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External links |
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As abstract polytope span is isomorphic to quappin, thereby replacing sidpith by quidpith.
Incidence matrix according to Dynkin symbol
o3x3o3o4x . . . . . | 320 | 6 3 | 3 6 12 3 | 3 6 2 6 6 1 | 1 3 3 2 ----------+-----+---------+-----------------+------------------------+------------ . x . . . | 2 | 960 * | 1 2 2 0 | 2 2 1 2 1 0 | 1 2 1 1 . . . . x | 2 | * 480 | 0 0 4 2 | 0 2 0 2 4 1 | 0 1 2 2 ----------+-----+---------+-----------------+------------------------+------------ o3x . . . | 3 | 3 0 | 320 * * * | 2 2 0 0 0 0 | 1 2 1 0 . x3o . . | 3 | 3 0 | * 640 * * | 1 0 1 1 0 0 | 1 1 0 1 . x . . x | 4 | 2 2 | * * 960 * | 0 1 0 1 1 0 | 0 1 1 1 . . . o4x | 4 | 0 4 | * * * 240 | 0 0 0 0 2 1 | 0 0 1 2 ----------+-----+---------+-----------------+------------------------+------------ o3x3o . . ♦ 6 | 12 0 | 4 4 0 0 | 160 * * * * * | 1 1 0 0 o3x . . x ♦ 6 | 6 3 | 2 0 3 0 | * 320 * * * * | 0 1 1 0 . x3o3o . ♦ 4 | 6 0 | 0 4 0 0 | * * 160 * * * | 1 0 0 1 . x3o . x ♦ 6 | 6 3 | 0 2 3 0 | * * * 320 * * | 0 1 0 1 . x . o4x ♦ 8 | 4 8 | 0 0 4 2 | * * * * 240 * | 0 0 1 1 . . o3o4x ♦ 8 | 0 12 | 0 0 0 6 | * * * * * 40 | 0 0 0 2 ----------+-----+---------+-----------------+------------------------+------------ o3x3o3o . ♦ 10 | 30 0 | 10 20 0 0 | 5 0 5 0 0 0 | 32 * * * o3x3o . x ♦ 12 | 24 6 | 8 8 12 0 | 2 4 0 4 0 0 | * 80 * * o3x . o4x ♦ 12 | 12 12 | 4 0 12 3 | 0 4 0 0 3 0 | * * 80 * . x3o3o4x ♦ 64 | 96 96 | 0 64 96 48 | 0 0 16 32 24 8 | * * * 10 snubbed forms: o3x3o3o4s
wx xo3ox3oo4xx&#zx height = 0 o. o.3o.3o.4o. | 128 * | 3 3 3 0 0 0 | 3 6 3 3 3 6 0 0 0 0 0 0 | 1 3 3 1 3 6 1 3 3 0 0 0 0 0 0 | 1 1 1 3 3 0 0 .o .o3.o3.o4.o | * 192 | 0 0 2 1 4 2 | 0 0 0 1 4 4 4 2 2 2 4 1 | 0 0 0 0 2 2 2 4 2 2 2 4 1 1 2 | 0 2 1 2 1 1 2 -------------------+---------+------------------------+----------------------------------------------+--------------------------------------------------+------------------- .. x. .. .. .. | 2 0 | 192 * * * * * | 2 2 0 1 0 0 0 0 0 0 0 0 | 1 2 1 0 2 2 0 0 0 0 0 0 0 0 0 | 1 0 1 2 1 0 0 .. .. .. .. x. | 2 0 | * 192 * * * * | 0 2 2 0 0 2 0 0 0 0 0 0 | 0 1 2 1 0 2 0 1 2 0 0 0 0 0 0 | 1 1 0 1 2 0 0 oo oo3oo3oo4oo&#x | 1 1 | * * 384 * * * | 0 0 0 1 2 2 0 0 0 0 0 0 | 0 0 0 0 2 2 1 2 1 0 0 0 0 0 0 | 0 1 1 2 1 0 0 .x .. .. .. .. | 0 2 | * * * 96 * * | 0 0 0 0 0 0 4 2 0 0 0 0 | 0 0 0 0 0 0 0 0 0 2 2 4 1 0 0 | 0 2 0 0 0 1 2 .. .. .x .. .. | 0 2 | * * * * 384 * | 0 0 0 0 1 0 1 0 1 1 1 0 | 0 0 0 0 1 0 1 1 0 1 1 1 0 1 1 | 0 1 1 1 0 1 1 .. .. .. .. .x | 0 2 | * * * * * 192 | 0 0 0 0 0 2 0 1 0 0 2 1 | 0 0 0 0 0 1 0 2 2 0 0 2 1 0 1 | 0 2 0 1 1 0 1 -------------------+---------+------------------------+----------------------------------------------+--------------------------------------------------+------------------- .. x.3o. .. .. | 3 0 | 3 0 0 0 0 0 | 128 * * * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 | 1 0 1 1 0 0 0 .. x. .. .. x. | 4 0 | 2 2 0 0 0 0 | * 192 * * * * * * * * * * | 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 | 1 0 0 1 1 0 0 .. .. .. o.4x. | 4 0 | 0 4 0 0 0 0 | * * 96 * * * * * * * * * | 0 0 1 1 0 0 0 0 1 0 0 0 0 0 0 | 1 1 0 0 1 0 0 .. xo .. .. ..&#x | 2 1 | 1 0 2 0 0 0 | * * * 192 * * * * * * * * | 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 | 0 0 1 2 1 0 0 .. .. ox .. ..&#x | 1 2 | 0 0 2 0 1 0 | * * * * 384 * * * * * * * | 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 | 0 1 1 1 0 0 0 .. .. .. .. xx&#x | 2 2 | 0 1 2 0 0 1 | * * * * * 384 * * * * * * | 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 | 0 1 0 1 1 0 0 .x .. .x .. .. | 0 4 | 0 0 0 2 2 0 | * * * * * * 192 * * * * * | 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 | 0 1 0 0 0 1 1 .x .. .. .. .x | 0 4 | 0 0 0 2 0 2 | * * * * * * * 96 * * * * | 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 | 0 2 0 0 0 0 1 .. .o3.x .. .. | 0 3 | 0 0 0 0 3 0 | * * * * * * * * 128 * * * | 0 0 0 0 1 0 0 0 0 1 0 0 0 1 1 | 0 0 1 1 0 1 1 .. .. .x3.o .. | 0 3 | 0 0 0 0 3 0 | * * * * * * * * * 128 * * | 0 0 0 0 0 0 1 0 0 0 1 0 0 1 0 | 0 1 1 0 0 1 0 .. .. .x .. .x | 0 4 | 0 0 0 0 2 2 | * * * * * * * * * * 192 * | 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 | 0 1 0 1 0 0 1 .. .. .. .o4.x | 0 4 | 0 0 0 0 0 4 | * * * * * * * * * * * 48 | 0 0 0 0 0 0 0 0 2 0 0 0 1 0 0 | 0 2 0 0 1 0 0 -------------------+---------+------------------------+----------------------------------------------+--------------------------------------------------+------------------- .. x.3o.3o. .. ♦ 4 0 | 6 0 0 0 0 0 | 4 0 0 0 0 0 0 0 0 0 0 0 | 32 * * * * * * * * * * * * * * | 1 0 1 0 0 0 0 .. x.3o. .. x. ♦ 6 0 | 6 3 0 0 0 0 | 2 3 0 0 0 0 0 0 0 0 0 0 | * 64 * * * * * * * * * * * * * | 1 0 0 1 0 0 0 .. x. .. o.4x. ♦ 8 0 | 4 8 0 0 0 0 | 0 4 2 0 0 0 0 0 0 0 0 0 | * * 48 * * * * * * * * * * * * | 1 0 0 0 1 0 0 .. .. o.3o.4x. ♦ 8 0 | 0 12 0 0 0 0 | 0 0 6 0 0 0 0 0 0 0 0 0 | * * * 16 * * * * * * * * * * * | 1 1 0 0 0 0 0 .. xo3ox .. ..&#x ♦ 3 3 | 3 0 6 0 3 0 | 1 0 0 3 3 0 0 0 1 0 0 0 | * * * * 128 * * * * * * * * * * | 0 0 1 1 0 0 0 .. xo .. .. xx&#x ♦ 4 2 | 2 2 4 0 0 1 | 0 1 0 2 0 2 0 0 0 0 0 0 | * * * * * 192 * * * * * * * * * | 0 0 0 1 1 0 0 .. .. ox3oo ..&#x ♦ 1 3 | 0 0 3 0 3 0 | 0 0 0 0 3 0 0 0 0 1 0 0 | * * * * * * 128 * * * * * * * * | 0 1 1 0 0 0 0 .. .. ox .. xx&#x ♦ 2 4 | 0 1 4 0 2 2 | 0 0 0 0 2 2 0 0 0 0 1 0 | * * * * * * * 192 * * * * * * * | 0 1 0 1 0 0 0 .. .. .. oo4xx&#x ♦ 4 4 | 0 4 4 0 0 4 | 0 0 1 0 0 4 0 0 0 0 0 1 | * * * * * * * * 96 * * * * * * | 0 1 0 0 1 0 0 .x .o3.x .. .. ♦ 0 6 | 0 0 0 3 6 0 | 0 0 0 0 0 0 3 0 2 0 0 0 | * * * * * * * * * 64 * * * * * | 0 0 0 0 0 1 1 .x .. .x3.o .. ♦ 0 6 | 0 0 0 3 6 0 | 0 0 0 0 0 0 3 0 0 2 0 0 | * * * * * * * * * * 64 * * * * | 0 1 0 0 0 1 0 .x .. .x .. .x ♦ 0 8 | 0 0 0 4 4 4 | 0 0 0 0 0 0 2 2 0 0 2 0 | * * * * * * * * * * * 96 * * * | 0 1 0 0 0 0 1 .x .. .. .o4.x ♦ 0 8 | 0 0 0 4 0 8 | 0 0 0 0 0 0 0 4 0 0 0 2 | * * * * * * * * * * * * 24 * * | 0 2 0 0 0 0 0 .. .o3.x3.o .. ♦ 0 6 | 0 0 0 0 12 0 | 0 0 0 0 0 0 0 0 4 4 0 0 | * * * * * * * * * * * * * 32 * | 0 0 1 0 0 1 0 .. .o3.x .. .x ♦ 0 6 | 0 0 0 0 6 3 | 0 0 0 0 0 0 0 0 2 0 3 0 | * * * * * * * * * * * * * * 64 | 0 0 0 1 0 0 1 -------------------+---------+------------------------+----------------------------------------------+--------------------------------------------------+------------------- .. x.3o.3o.4x. ♦ 64 0 | 96 96 0 0 0 0 | 64 96 48 0 0 0 0 0 0 0 0 0 | 16 32 24 8 0 0 0 0 0 0 0 0 0 0 0 | 2 * * * * * * wx .. ox3oo4xx&#zx ♦ 16 48 | 0 24 48 24 48 48 | 0 0 12 0 48 48 24 24 0 16 24 12 | 0 0 0 2 0 0 16 24 12 0 8 12 6 0 0 | * 8 * * * * * .. xo3ox3oo ..&#x ♦ 4 6 | 6 0 12 0 12 0 | 4 0 0 6 12 0 0 0 4 4 0 0 | 1 0 0 0 4 0 4 0 0 0 0 0 0 1 0 | * * 32 * * * * .. xo3ox .. xx&#x ♦ 6 6 | 6 3 12 0 6 3 | 2 3 0 6 6 6 0 0 2 0 3 0 | 0 1 0 0 2 3 0 3 0 0 0 0 0 0 1 | * * * 64 * * * .. xo .. oo4xx&#x ♦ 8 4 | 4 8 8 0 0 4 | 0 4 2 4 0 8 0 0 0 0 0 1 | 0 0 1 0 0 4 0 0 2 0 0 0 0 0 0 | * * * * 48 * * .x .o3.x3.o .. ♦ 0 12 | 0 0 0 6 24 0 | 0 0 0 0 0 0 12 0 8 8 0 0 | 0 0 0 0 0 0 0 0 0 4 4 0 0 2 0 | * * * * * 16 * .x .o3.x .. .x ♦ 0 12 | 0 0 0 6 12 6 | 0 0 0 0 0 0 6 3 4 0 6 0 | 0 0 0 0 0 0 0 0 0 2 0 3 0 0 2 | * * * * * * 32
xoox3oxxo3oooo4xxxx&#xt → outer heights = 1/sqrt(2) = 0.707107
inner height = 1
(sidpith || pseudo srit || pseudo srit || sidpith)
...
wxx4oxo oxo3oox4xxx&#zxt height = 0 o..4o.. o..3o..4o.. | 32 * * | 3 6 0 0 0 0 0 0 0 0 | 3 3 6 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 3 6 2 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 1 3 3 0 0 0 0 .o.4.o. .o.3.o.4.o. | * 192 * | 0 1 1 1 2 2 2 0 0 0 | 0 1 2 2 2 2 2 1 2 1 2 2 2 1 2 0 0 0 0 | 0 2 2 1 2 1 1 2 1 1 2 1 2 1 2 1 2 0 0 0 | 1 1 2 1 1 1 2 0 ..o4..o ..o3..o4..o | * * 96 | 0 0 0 0 0 0 4 2 2 1 | 0 0 0 0 0 0 0 0 0 0 4 2 2 4 4 1 4 2 1 | 0 1 0 0 0 0 0 0 0 0 2 4 4 2 2 2 2 2 1 2 | 0 1 1 0 2 2 2 1 -------------------------+-----------+-----------------------------------+-----------------------------------------------------------------+------------------------------------------------------------+--------------------- ... ... ... ... x.. | 2 0 0 | 48 * * * * * * * * * | 2 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 2 0 2 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 0 1 2 0 0 0 0 oo.4oo. oo.3oo.4oo.&#x | 1 1 0 | * 192 * * * * * * * * | 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 2 2 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 2 1 0 0 0 0 .x. ... ... ... ... | 0 2 0 | * * 96 * * * * * * * | 0 0 0 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 1 2 1 0 2 1 2 0 0 0 0 0 0 0 | 1 0 0 0 1 1 2 0 ... .x. ... ... ... | 0 2 0 | * * * 96 * * * * * * | 0 1 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 | 0 2 2 0 0 0 0 0 0 1 0 0 0 1 2 0 0 0 0 0 | 0 1 2 1 1 0 0 0 ... ... .x. ... ... | 0 2 0 | * * * * 192 * * * * * | 0 0 1 0 1 0 0 1 1 0 0 0 1 0 0 0 0 0 0 | 0 1 0 1 1 0 1 1 0 0 1 0 0 0 0 1 1 0 0 0 | 1 1 1 0 0 1 1 0 ... ... ... ... .x. | 0 2 0 | * * * * * 192 * * * * | 0 0 0 1 0 1 1 0 1 1 0 0 0 0 1 0 0 0 0 | 0 0 1 0 1 1 0 1 1 1 0 0 1 0 1 0 1 0 0 0 | 1 0 1 1 1 0 1 0 .oo4.oo .oo3.oo4.oo&#x | 0 1 1 | * * * * * * 384 * * * | 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 | 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 | 0 1 1 0 1 1 1 0 ..x ... ... ... ... | 0 0 2 | * * * * * * * 96 * * | 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 1 2 1 0 | 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 2 1 1 | 0 0 0 0 2 1 1 1 ... ... ... ..x ... | 0 0 2 | * * * * * * * * 96 * | 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 1 | 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 2 0 1 0 2 | 0 1 0 0 1 2 0 1 ... ... ... ... ..x | 0 0 2 | * * * * * * * * * 48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 2 0 | 0 0 0 0 0 0 0 0 0 0 0 0 4 0 2 0 2 0 1 0 | 0 0 1 0 2 0 2 0 -------------------------+-----------+-----------------------------------+-----------------------------------------------------------------+------------------------------------------------------------+--------------------- ... ... ... o..4x.. | 4 0 0 | 4 0 0 0 0 0 0 0 0 0 | 24 * * * * * * * * * * * * * * * * * * | 1 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 0 0 1 0 0 0 0 ... ox. ... ... ...&#x | 1 2 0 | 0 2 0 1 0 0 0 0 0 0 | * 96 * * * * * * * * * * * * * * * * * | 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 2 1 0 0 0 0 ... ... ox. ... ...&#x | 1 2 0 | 0 2 0 0 1 0 0 0 0 0 | * * 192 * * * * * * * * * * * * * * * * | 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 0 0 ... ... ... ... xx.&#x | 2 2 0 | 1 2 0 0 0 1 0 0 0 0 | * * * 192 * * * * * * * * * * * * * * * | 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 1 1 0 0 0 0 .x. ... .x. ... ... | 0 4 0 | 0 0 2 0 2 0 0 0 0 0 | * * * * 96 * * * * * * * * * * * * * * | 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 | 1 0 0 0 0 1 1 0 .x. ... ... ... .x. | 0 4 0 | 0 0 2 0 0 2 0 0 0 0 | * * * * * 96 * * * * * * * * * * * * * | 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 | 1 0 0 0 1 0 1 0 ... .x. ... ... .x. | 0 4 0 | 0 0 0 2 0 2 0 0 0 0 | * * * * * * 96 * * * * * * * * * * * * | 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 | 0 0 1 1 1 0 0 0 ... ... .x.3.o. ... | 0 3 0 | 0 0 0 0 3 0 0 0 0 0 | * * * * * * * 64 * * * * * * * * * * * | 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 | 1 1 0 0 0 1 0 0 ... ... .x. ... .x. | 0 4 0 | 0 0 0 0 2 2 0 0 0 0 | * * * * * * * * 96 * * * * * * * * * * | 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 | 1 0 1 0 0 0 1 0 ... ... ... .o.4.x. | 0 4 0 | 0 0 0 0 0 4 0 0 0 0 | * * * * * * * * * 48 * * * * * * * * * | 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 | 1 0 0 1 1 0 0 0 .xx ... ... ... ...&#x | 0 2 2 | 0 0 1 0 0 0 2 1 0 0 | * * * * * * * * * * 192 * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 | 0 0 0 0 1 1 1 0 ... .xo ... ... ...&#x | 0 2 1 | 0 0 0 1 0 0 2 0 0 0 | * * * * * * * * * * * 192 * * * * * * * | 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 | 0 1 1 0 1 0 0 0 ... ... .xo ... ...&#x | 0 2 1 | 0 0 0 0 1 0 2 0 0 0 | * * * * * * * * * * * * 192 * * * * * * | 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 | 0 1 1 0 0 1 1 0 ... ... ... .ox ...&#x | 0 1 2 | 0 0 0 0 0 0 2 0 1 0 | * * * * * * * * * * * * * 192 * * * * * | 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 | 0 1 0 0 1 1 0 0 ... ... ... ... .xx&#x | 0 2 2 | 0 0 0 0 0 1 2 0 0 1 | * * * * * * * * * * * * * * 192 * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 | 0 0 1 0 1 0 1 0 ..x4..o ... ... ... | 0 0 4 | 0 0 0 0 0 0 0 4 0 0 | * * * * * * * * * * * * * * * 24 * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 | 0 0 0 0 2 0 0 1 ..x ... ... ..x ... | 0 0 4 | 0 0 0 0 0 0 0 2 2 0 | * * * * * * * * * * * * * * * * 96 * * | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 | 0 0 0 0 1 1 0 1 ..x ... ... ... ..x | 0 0 4 | 0 0 0 0 0 0 0 2 0 2 | * * * * * * * * * * * * * * * * * 48 * | 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 1 0 | 0 0 0 0 2 0 1 0 ... ... ..o3..x ... | 0 0 3 | 0 0 0 0 0 0 0 0 3 0 | * * * * * * * * * * * * * * * * * * 32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 | 0 1 0 0 0 2 0 1 -------------------------+-----------+-----------------------------------+-----------------------------------------------------------------+------------------------------------------------------------+--------------------- ... ... o..3o..4x.. ♦ 8 0 0 | 12 0 0 0 0 0 0 0 0 0 | 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 4 * * * * * * * * * * * * * * * * * * * | 2 0 0 0 0 0 0 0 ... oxo oxo ... ...&#xt ♦ 1 4 1 | 0 4 0 2 2 0 4 0 0 0 | 0 2 2 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 | * 96 * * * * * * * * * * * * * * * * * * | 0 1 1 0 0 0 0 0 ... ox. ... ... xx.&#x ♦ 2 4 0 | 1 4 0 2 0 2 0 0 0 0 | 0 2 0 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | * * 96 * * * * * * * * * * * * * * * * * | 0 0 1 1 0 0 0 0 ... ... ox.3oo. ...&#x ♦ 1 3 0 | 0 3 0 0 3 0 0 0 0 0 | 0 0 3 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | * * * 64 * * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 ... ... ox. ... xx.&#x ♦ 2 4 0 | 1 4 0 0 2 2 0 0 0 0 | 0 0 2 2 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | * * * * 96 * * * * * * * * * * * * * * * | 1 0 1 0 0 0 0 0 ... ... ... oo.4xx.&#x ♦ 4 4 0 | 4 4 0 0 0 4 0 0 0 0 | 1 0 0 4 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | * * * * * 48 * * * * * * * * * * * * * * | 1 0 0 1 0 0 0 0 .x. ... .x.3.o. ... ♦ 0 6 0 | 0 0 3 0 6 0 0 0 0 0 | 0 0 0 0 3 0 0 2 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * 32 * * * * * * * * * * * * * | 1 0 0 0 0 1 0 0 .x. ... .x. ... .x. ♦ 0 8 0 | 0 0 4 0 4 4 0 0 0 0 | 0 0 0 0 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 | * * * * * * * 48 * * * * * * * * * * * * | 1 0 0 0 0 0 1 0 .x. ... ... .o.4.x. ♦ 0 8 0 | 0 0 4 0 0 8 0 0 0 0 | 0 0 0 0 0 4 0 0 0 2 0 0 0 0 0 0 0 0 0 | * * * * * * * * 24 * * * * * * * * * * * | 1 0 0 0 1 0 0 0 ... .x. ... .o.4.x. ♦ 0 8 0 | 0 0 0 4 0 8 0 0 0 0 | 0 0 0 0 0 0 4 0 0 2 0 0 0 0 0 0 0 0 0 | * * * * * * * * * 24 * * * * * * * * * * | 0 0 0 1 1 0 0 0 .xx ... .xo ... ...&#x ♦ 0 4 2 | 0 0 2 0 2 0 4 1 0 0 | 0 0 0 0 1 0 0 0 0 0 2 0 2 0 0 0 0 0 0 | * * * * * * * * * * 96 * * * * * * * * * | 0 0 0 0 0 1 1 0 .xx ... ... .ox ...&#x ♦ 0 2 4 | 0 0 1 0 0 0 4 2 2 0 | 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 1 0 0 | * * * * * * * * * * * 96 * * * * * * * * | 0 0 0 0 1 1 0 0 .xx ... ... ... .xx&#x ♦ 0 4 4 | 0 0 2 0 0 2 4 2 0 2 | 0 0 0 0 0 1 0 0 0 0 2 0 0 0 2 0 0 1 0 | * * * * * * * * * * * * 96 * * * * * * * | 0 0 0 0 1 0 1 0 ... .xo ... .ox ...&#x ♦ 0 2 2 | 0 0 0 1 0 0 4 0 1 0 | 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 | * * * * * * * * * * * * * 96 * * * * * * | 0 1 0 0 1 0 0 0 ... .xo ... ... .xx&#x ♦ 0 4 2 | 0 0 0 2 0 2 4 0 0 1 | 0 0 0 0 0 0 1 0 0 0 0 2 0 0 2 0 0 0 0 | * * * * * * * * * * * * * * 96 * * * * * | 0 0 1 0 1 0 0 0 ... ... .xo3.ox ...&#x ♦ 0 3 3 | 0 0 0 0 3 0 6 0 3 0 | 0 0 0 0 0 0 0 1 0 0 0 0 3 3 0 0 0 0 1 | * * * * * * * * * * * * * * * 64 * * * * | 0 1 0 0 0 1 0 0 ... ... .xo ... .xx&#x ♦ 0 4 2 | 0 0 0 0 2 2 4 0 0 1 | 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 0 0 0 0 | * * * * * * * * * * * * * * * * 96 * * * | 0 0 1 0 0 0 1 0 ..x4..o ... ..x ... ♦ 0 0 8 | 0 0 0 0 0 0 0 8 4 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 0 0 | * * * * * * * * * * * * * * * * * 24 * * | 0 0 0 0 1 0 0 1 ..x4..o ... ... ..x ♦ 0 0 8 | 0 0 0 0 0 0 0 8 0 4 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 4 0 | * * * * * * * * * * * * * * * * * * 12 * | 0 0 0 0 2 0 0 0 ..x ... ..o3..x ... ♦ 0 0 6 | 0 0 0 0 0 0 0 3 6 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 2 | * * * * * * * * * * * * * * * * * * * 32 | 0 0 0 0 0 1 0 1 -------------------------+-----------+-----------------------------------+-----------------------------------------------------------------+------------------------------------------------------------+--------------------- wx. ... ox.3oo.4xx.&#zx ♦ 16 48 0 | 24 48 24 0 48 48 0 0 0 0 | 12 0 48 48 24 24 0 16 24 12 0 0 0 0 0 0 0 0 0 | 2 0 0 16 24 12 8 12 6 0 0 0 0 0 0 0 0 0 0 0 | 4 * * * * * * * ... oxo oxo3oox ...&#xt ♦ 1 6 3 | 0 6 0 3 6 0 12 0 3 0 | 0 3 6 0 0 0 0 2 0 0 0 6 6 6 0 0 0 0 1 | 0 3 0 2 0 0 0 0 0 0 0 0 0 3 0 2 0 0 0 0 | * 32 * * * * * * ... oxo oxo ... xxx&#xt ♦ 2 8 2 | 1 8 0 4 4 4 8 0 0 1 | 0 4 4 4 0 0 2 0 2 0 0 4 4 0 4 0 0 0 0 | 0 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 | * * 48 * * * * * ... ox. ... oo.4xx.&#x ♦ 4 8 0 | 4 8 0 4 0 8 0 0 0 0 | 1 4 0 8 0 0 4 0 0 2 0 0 0 0 0 0 0 0 0 | 0 0 4 0 0 2 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | * * * 24 * * * * .xx4.xo ... .ox4.xx&#x ♦ 0 32 32 | 0 0 16 16 0 32 64 32 16 16 | 0 0 0 0 0 16 16 0 0 8 32 32 0 32 32 8 16 16 0 | 0 0 0 0 0 0 0 0 4 4 0 16 16 16 16 0 0 4 4 0 | * * * * 6 * * * .xx ... .xo3.ox ...&#x ♦ 0 6 6 | 0 0 3 0 6 0 12 3 6 0 | 0 0 0 0 3 0 0 2 0 0 6 0 6 6 0 0 3 0 2 | 0 0 0 0 0 0 1 0 0 0 3 3 0 0 0 2 0 0 0 1 | * * * * * 32 * * .xx ... .xo ... .xx&#x ♦ 0 8 4 | 0 0 4 0 4 4 8 2 0 2 | 0 0 0 0 2 2 0 0 2 0 4 0 4 0 4 0 0 1 0 | 0 0 0 0 0 0 0 1 0 0 2 0 2 0 0 0 2 0 0 0 | * * * * * * 48 * ..x4..o ..o3..x ... ♦ 0 0 12 | 0 0 0 0 0 0 0 12 12 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 0 4 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 4 | * * * * * * * 8
wwwwxxxxxx wxxxwwwxxx xwxxwxxwwx xxwxxwxwxw xxxwxxwxww&#zx → all (existing) heights = 0 ...
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