Acronym | icau pretasto |
Name | icositetra-augmented pentagonorhombic-trisnub-trisoctachoron |
© | |
Lace city in approx. ASCII-art |
x o o x x3o3o (1) o o f f o o o3f3o (2) f x F o o F x f f3o3x (3) o f x F F x f o o3x3f (4) o o F F o o o3F3o (2) f x u F A x x A F u x f f3x3x (3) x F o A A o F x x3o3F (4) x o A f f A o x x3F3o (1) F o A x x A o F F3x3o (3) f f F F xB Bx F F f f f3x3f (2) o F x A A x F o o3x3F (3) o x f A A f x o o3F3x (1) F x A o o A x F F3o3x (4) x f F u x A A x u F f x x3x3f (3) o o F F o o o3F3o (2) f o F x x F o f f3x3o (4) x f o F F o f x x3o3f (3) o o f f o o o3f3o (2) o x x o o3o3x (1) where: F=f+x, A=f+2x, B=2f+x (1) = o3o3x *b3F (2) = o3f3o *b3x (3) = x3o3f *b3x (4) = f3x3o *b3o |
Face vector | 224, 1032, 1168, 360 |
Confer |
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The relation to ex runs as follows: ex in demitessic subsymmetry can be given as ooxf3fooo3oxfo *b3ofox&#zx. That will be transformed into ooxf3foox3oxfo *b3ofo(-x)&#zx (faceting, same vertex set). Then a Stott expansion wrt. the last node produces this polychoron.
This polychoron can be obtained from pretasto as external blend with 24 bilbiro wedges. In fact this just adds the "layer" o3f3o *b3x (mentioned as (1) below) into its tegum sum.
The (4)th type of vertices (cf. below) show up (intersecting) pip-shaped vertex figures. At least 16 out of those 48 could be selected for an intersection-free diminishing. This then results in hidicau pretasto.
Incidence matrix according to Dynkin symbol
ooxf3foox3oxfo *b3xFxo&#zx → all heights = 0 – except that of not existing lacing(2,4) o...3o...3o... *b3o... | 48 * * * | 1 2 4 2 0 0 0 0 0 0 | 1 2 4 2 4 4 0 0 0 0 0 0 0 0 0 | 2 2 2 4 0 0 0 0 0 (1) .o..3.o..3.o.. *b3.o.. | * 32 * * ♦ 0 3 0 0 3 3 0 0 0 0 | 3 0 0 0 6 0 3 3 0 0 0 0 0 0 0 | 3 3 0 0 1 1 0 0 0 (2) ..o.3..o.3..o. *b3..o. | * * 96 * | 0 0 2 0 0 1 2 2 2 0 | 0 2 2 0 2 2 0 2 1 1 2 1 2 0 0 | 1 2 2 2 0 1 1 1 0 (3) ...o3...o3...o *b3...o | * * * 48 ♦ 0 0 0 2 0 0 0 0 4 4 | 0 0 0 1 0 4 0 0 0 0 0 4 2 2 2 | 2 0 0 2 0 0 0 2 1 (4) ---------------------------+-------------+---------------------------------+------------------------------------------------+------------------------ .... .... .... x... | 2 0 0 0 | 24 * * * * * * * * * | 0 0 4 2 0 0 0 0 0 0 0 0 0 0 0 | 0 0 2 4 0 0 0 0 0 oo..3oo..3oo.. *b3oo..&#x | 1 1 0 0 | * 96 * * * * * * * * | 1 0 0 0 2 0 0 0 0 0 0 0 0 0 0 | 2 1 0 0 0 0 0 0 0 o.o.3o.o.3o.o. *b3o.o.&#x | 1 0 1 0 | * * 192 * * * * * * * | 0 1 1 0 1 1 0 0 0 0 0 0 0 0 0 | 1 1 1 1 0 0 0 0 0 o..o3o..o3o..o *b3o..o&#x | 1 0 0 1 | * * * 96 * * * * * * | 0 0 0 1 0 2 0 0 0 0 0 0 0 0 0 | 1 0 0 2 0 0 0 0 0 .... .... .x.. .... | 0 2 0 0 | * * * * 48 * * * * * | 1 0 0 0 0 0 2 0 0 0 0 0 0 0 0 | 2 0 0 0 1 0 0 0 0 .oo.3.oo.3.oo. *b3.oo.&#x | 0 1 1 0 | * * * * * 96 * * * * | 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 | 1 2 0 0 0 1 0 0 0 ..x. .... .... .... | 0 0 2 0 | * * * * * * 96 * * * | 0 1 0 0 0 0 0 1 1 0 1 0 0 0 0 | 0 1 1 0 0 1 1 0 0 .... .... .... ..x. | 0 0 2 0 | * * * * * * * 96 * * | 0 0 1 0 0 0 0 0 0 1 1 0 1 0 0 | 0 0 1 1 0 0 1 1 0 ..oo3..oo3..oo *b3..oo&#x | 0 0 1 1 | * * * * * * * * 192 * | 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 | 1 0 0 1 0 0 0 1 0 .... ...x .... .... | 0 0 0 2 | * * * * * * * * * 96 | 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 | 1 0 0 0 0 0 0 1 1 ---------------------------+-------------+---------------------------------+------------------------------------------------+------------------------ .... .... ox.. ....&#x | 1 2 0 0 | 0 2 0 0 1 0 0 0 0 0 | 48 * * * * * * * * * * * * * * | 2 0 0 0 0 0 0 0 0 o.x. .... .... ....&#x | 1 0 2 0 | 0 0 2 0 0 0 1 0 0 0 | * 96 * * * * * * * * * * * * * | 0 1 1 0 0 0 0 0 0 .... .... .... x.x.&#x | 2 0 2 0 | 1 0 2 0 0 0 0 1 0 0 | * * 96 * * * * * * * * * * * * | 0 0 1 1 0 0 0 0 0 .... .... .... x..o&#x | 2 0 0 1 | 1 0 0 2 0 0 0 0 0 0 | * * * 48 * * * * * * * * * * * | 0 0 0 2 0 0 0 0 0 ooo.3ooo.3ooo. *b3ooo.&#x | 1 1 1 0 | 0 1 1 0 0 1 0 0 0 0 | * * * * 192 * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 o.oo3o.oo3o.oo *b3o.oo&#x | 1 0 1 1 | 0 0 1 1 0 0 0 0 1 0 | * * * * * 192 * * * * * * * * * | 1 0 0 1 0 0 0 0 0 .... .o..3.x.. .... | 0 3 0 0 | 0 0 0 0 3 0 0 0 0 0 | * * * * * * 32 * * * * * * * * | 1 0 0 0 1 0 0 0 0 .ox. .... .... ....&#x | 0 1 2 0 | 0 0 0 0 0 2 1 0 0 0 | * * * * * * * 96 * * * * * * * | 0 1 0 0 0 1 0 0 0 ..x.3..o. .... .... | 0 0 3 0 | 0 0 0 0 0 0 3 0 0 0 | * * * * * * * * 32 * * * * * * | 0 0 0 0 0 1 1 0 0 .... ..o. .... *b3..x. | 0 0 3 0 | 0 0 0 0 0 0 0 3 0 0 | * * * * * * * * * 32 * * * * * | 0 0 0 0 0 0 1 1 0 ..x. .... .... ..x. | 0 0 4 0 | 0 0 0 0 0 0 2 2 0 0 | * * * * * * * * * * 48 * * * * | 0 0 1 0 0 0 1 0 0 .... ..ox .... ....&#x | 0 0 1 2 | 0 0 0 0 0 0 0 0 2 1 | * * * * * * * * * * * 96 * * * | 1 0 0 0 0 0 0 1 0 .... .... .... ..xo&#x | 0 0 2 1 | 0 0 0 0 0 0 0 1 2 0 | * * * * * * * * * * * * 96 * * | 0 0 0 1 0 0 0 1 0 .... ...x3...o .... | 0 0 0 3 | 0 0 0 0 0 0 0 0 0 3 | * * * * * * * * * * * * * 32 * | 1 0 0 0 0 0 0 0 1 .... ...x3.... *b3...o | 0 0 0 3 | 0 0 0 0 0 0 0 0 0 3 | * * * * * * * * * * * * * * 32 | 0 0 0 0 0 0 0 1 1 ---------------------------+-------------+---------------------------------+------------------------------------------------+------------------------ .... foox3oxfo ....&#zx ♦ 3 3 3 3 | 0 6 6 3 3 3 0 0 6 3 | 3 0 0 0 6 6 1 0 0 0 0 3 0 1 0 | 32 * * * * * * * * oox. .... .... ....&#x ♦ 1 1 2 0 | 0 1 2 0 0 2 1 0 0 0 | 0 1 0 0 2 0 0 1 0 0 0 0 0 0 0 | * 96 * * * * * * * o.x. .... .... x.x.&#x ♦ 2 0 4 0 | 1 0 4 0 0 0 2 2 0 0 | 0 2 2 0 0 0 0 0 0 0 1 0 0 0 0 | * * 48 * * * * * * .... .... .... x.xo&#x ♦ 2 0 2 1 | 1 0 2 2 0 0 0 1 2 0 | 0 0 1 1 0 2 0 0 0 0 0 0 1 0 0 | * * * 96 * * * * * .o..3.o..3.x.. .... ♦ 0 4 0 0 | 0 0 0 0 6 0 0 0 0 0 | 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 | * * * * 8 * * * * .ox.3.oo. .... ....&#x ♦ 0 1 3 0 | 0 0 0 0 0 3 3 0 0 0 | 0 0 0 0 0 0 0 3 1 0 0 0 0 0 0 | * * * * * 32 * * * ..x.3..o. .... *b3..x. ♦ 0 0 12 0 | 0 0 0 0 0 0 12 12 0 0 | 0 0 0 0 0 0 0 0 4 4 6 0 0 0 0 | * * * * * * 8 * * .... ..ox .... *b3..xo&#x ♦ 0 0 3 3 | 0 0 0 0 0 0 0 3 6 3 | 0 0 0 0 0 0 0 0 0 1 0 3 3 0 1 | * * * * * * * 32 * .... ...x3...o *b3...o ♦ 0 0 0 6 | 0 0 0 0 0 0 0 0 0 12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 | * * * * * * * * 8
xofoofxxFfooFxofxoo 3 ofoxFxoFxxxFoxFxofo 3 ooxfoxFoofFxxfoofox &#xt → height(1,2) = height(3,4) = height(6,7) = height(13,14) = height(16,17) = height(18,19) = 1/sqrt(8) = 0.353553 height(2,3) = height(5,6) = height(7,8) = height(9,10) = height(10,11) = height(12,13) = height(14,15) = height(17,18) = sqrt[3-sqrt(5)]/4 = 0.218508 height(4,5) = height(8,9) = height(11,12) = height(15,16) = sqrt[7-3 sqrt(5)]/4 = 0.135045 o.................. 3 o.................. 3 o.................. & | 8 * * * * * * * * * ♦ 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3 3 6 3 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .o................. 3 .o................. 3 .o................. & | * 12 * * * * * * * * | 0 2 0 4 2 1 0 0 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 4 0 2 4 4 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 0 0 0 0 0 0 0 0 | 0 2 2 0 2 4 0 0 0 0 0 0 0 0 0 0 0 0 ..o................ 3 ..o................ 3 ..o................ & | * * 24 * * * * * * * | 0 0 1 2 0 0 2 2 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 2 2 2 2 2 0 1 1 2 1 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 0 0 0 | 0 2 1 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 ...o............... 3 ...o............... 3 ...o............... & | * * * 24 * * * * * * ♦ 0 0 0 0 1 0 0 2 0 2 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 2 0 1 2 0 2 0 0 1 2 2 1 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 0 2 2 0 1 1 0 0 0 0 0 0 0 0 ....o.............. 3 ....o.............. 3 ....o.............. & | * * * * 12 * * * * * | 0 0 0 0 0 1 0 0 0 0 2 0 0 4 2 0 0 0 0 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 4 0 0 0 2 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 2 4 0 0 2 0 2 0 0 0 0 0 0 0 .....o............. 3 .....o............. 3 .....o............. & | * * * * * 48 * * * * | 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 1 0 0 0 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 1 1 1 1 1 0 1 1 1 1 1 0 0 0 ......o............ 3 ......o............ 3 ......o............ & | * * * * * * 24 * * * ♦ 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 2 2 2 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 1 2 0 0 0 0 0 0 0 1 1 2 1 2 0 0 0 0 0 | 0 0 0 0 0 0 1 0 2 1 0 1 0 0 0 1 1 0 .......o........... 3 .......o........... 3 .......o........... & | * * * * * * * 24 * * ♦ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 0 0 1 1 2 2 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 1 2 2 0 0 0 0 0 0 0 0 0 2 2 3 0 0 | 0 0 0 0 0 0 0 0 3 0 1 0 1 2 0 0 0 1 ........o.......... 3 ........o.......... 3 ........o.......... & | * * * * * * * * 24 * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 1 0 0 2 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 0 2 0 2 1 2 0 0 0 1 2 2 2 0 0 1 2 | 0 0 0 0 0 0 0 1 1 0 0 0 1 2 2 1 2 0 .........o......... 3 .........o......... 3 .........o......... | * * * * * * * * * 24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 2 0 0 2 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 2 2 0 2 0 0 2 2 1 0 0 2 | 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 2 0 -----------------------------------------------------------------------+------------------------------+----------------------------------------------------------------------------------------------+--------------------------------------------------------------------------------------------------------------------+----------------------------------------------- x.................. ................... ................... & | 2 0 0 0 0 0 0 0 0 0 | 12 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 oo................. 3 oo................. 3 oo................. &#x & | 1 1 0 0 0 0 0 0 0 0 | * 24 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 o.o................ 3 o.o................ 3 o.o................ &#x & | 1 0 1 0 0 0 0 0 0 0 | * * 24 * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 2 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 0 0 0 0 0 0 0 0 0 0 0 0 | 0 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .oo................ 3 .oo................ 3 .oo................ &#x & | 0 1 1 0 0 0 0 0 0 0 | * * * 48 * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 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 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 .o.o............... 3 .o.o............... 3 .o.o............... &#x & | 0 1 0 1 0 0 0 0 0 0 | * * * * 24 * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 2 0 1 0 0 0 0 0 0 0 0 0 0 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 0 2 0 0 0 0 0 0 0 0 0 0 0 0 .o..o.............. 3 .o..o.............. 3 .o..o.............. &#x & | 0 1 0 0 1 0 0 0 0 0 | * * * * * 12 * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 4 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 0 0 0 0 0 0 0 0 | 0 0 0 0 2 4 0 0 0 0 0 0 0 0 0 0 0 0 ................... ................... ..x................ & | 0 0 2 0 0 0 0 0 0 0 | * * * * * * 24 * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 1 1 0 0 0 0 1 0 0 1 0 0 0 0 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 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 ..oo............... 3 ..oo............... 3 ..oo............... &#x & | 0 0 1 1 0 0 0 0 0 0 | * * * * * * * 48 * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 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 0 1 1 0 0 0 0 0 0 0 0 0 0 0 ..o..o............. 3 ..o..o............. 3 ..o..o............. &#x & | 0 0 1 0 0 1 0 0 0 0 | * * * * * * * * 48 * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 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 1 1 1 0 0 0 0 0 0 0 0 0 0 ................... ...x............... ................... & | 0 0 0 2 0 0 0 0 0 0 | * * * * * * * * * 24 * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 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 0 0 1 0 0 1 0 0 0 0 0 0 0 0 ...oo.............. 3 ...oo.............. 3 ...oo.............. &#x & | 0 0 0 1 1 0 0 0 0 0 | * * * * * * * * * * 24 * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 | 0 0 0 0 0 2 0 0 1 0 0 0 0 0 0 0 0 0 ...o.o............. 3 ...o.o............. 3 ...o.o............. &#x & | 0 0 0 1 0 1 0 0 0 0 | * * * * * * * * * * * 48 * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 1 0 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 0 0 0 | 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 ...o..o............ 3 ...o..o............ 3 ...o..o............ &#x & | 0 0 0 1 0 0 1 0 0 0 | * * * * * * * * * * * * 48 * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 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 1 1 0 0 0 0 0 0 0 0 ....oo............. 3 ....oo............. 3 ....oo............. &#x & | 0 0 0 0 1 1 0 0 0 0 | * * * * * * * * * * * * * 48 * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 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 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 ....o..o........... 3 ....o..o........... 3 ....o..o........... &#x & | 0 0 0 0 1 0 0 1 0 0 | * * * * * * * * * * * * * * 24 * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 2 0 1 0 0 0 0 0 0 0 ................... .....x............. ................... & | 0 0 0 0 0 2 0 0 0 0 | * * * * * * * * * * * * * * * 24 * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 1 1 0 0 0 1 0 0 1 0 0 0 ................... ................... .....x............. & | 0 0 0 0 0 2 0 0 0 0 | * * * * * * * * * * * * * * * * 24 * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 1 0 0 1 0 0 1 0 1 0 0 0 0 0 .....oo............ 3 .....oo............ 3 .....oo............ &#x & | 0 0 0 0 0 1 1 0 0 0 | * * * * * * * * * * * * * * * * * 48 * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 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 0 0 1 0 1 0 0 1 0 0 0 0 0 0 .....o.o........... 3 .....o.o........... 3 .....o.o........... &#x & | 0 0 0 0 0 1 0 1 0 0 | * * * * * * * * * * * * * * * * * * 48 * * * * * * * * * * * * | 0 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 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 .....o..o.......... 3 .....o..o.......... 3 .....o..o.......... &#x & | 0 0 0 0 0 1 0 0 1 0 | * * * * * * * * * * * * * * * * * * * 48 * * * * * * * * * * * | 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 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 0 1 1 1 0 0 0 .....o...o......... 3 .....o...o......... 3 .....o...o......... &#x & | 0 0 0 0 0 1 0 0 0 1 | * * * * * * * * * * * * * * * * * * * * 48 * * * * * * * * * * | 0 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 0 0 1 1 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 0 0 ......x............ ................... ................... & | 0 0 0 0 0 0 2 0 0 0 | * * * * * * * * * * * * * * * * * * * * * 24 * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0 ......o..o......... 3 ......o..o......... 3 ......o..o......... &#x & | 0 0 0 0 0 0 1 0 0 1 | * * * * * * * * * * * * * * * * * * * * * * 48 * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 | 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 ......o...o........ 3 ......o...o........ 3 ......o...o........ &#x & | 0 0 0 0 0 0 1 0 1 0 | * * * * * * * * * * * * * * * * * * * * * * * 48 * * * * * * * | 0 0 0 0 0 0 0 0 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 1 1 0 0 0 0 0 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 .......x........... ................... ................... & | 0 0 0 0 0 0 0 2 0 0 | * * * * * * * * * * * * * * * * * * * * * * * * 12 * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 | 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 1 .......oo.......... 3 .......oo.......... 3 .......oo.......... &#x & | 0 0 0 0 0 0 0 1 1 0 | * * * * * * * * * * * * * * * * * * * * * * * * * 24 * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 | 0 0 0 0 0 0 0 0 1 0 0 0 1 2 0 0 0 0 .......o.o......... 3 .......o.o......... 3 .......o.o......... &#x & | 0 0 0 0 0 0 0 1 0 1 | * * * * * * * * * * * * * * * * * * * * * * * * * * 48 * * * * | 0 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 0 0 0 0 0 0 0 0 1 1 0 0 0 | 0 0 0 0 0 0 0 0 2 0 0 0 0 1 0 0 0 0 .......o...o....... 3 .......o...o....... 3 .......o...o....... &#x | 0 0 0 0 0 0 0 2 0 0 | * * * * * * * * * * * * * * * * * * * * * * * * * * * 24 * * * | 0 0 0 0 0 0 0 0 0 0 0 0 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 2 0 0 | 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 1 ................... ........x.......... ................... & | 0 0 0 0 0 0 0 0 2 0 | * * * * * * * * * * * * * * * * * * * * * * * * * * * * 24 * * | 0 0 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 0 0 0 0 0 1 0 0 0 0 1 1 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 ........oo......... 3 ........oo......... 3 ........oo......... &#x & | 0 0 0 0 0 0 0 0 1 1 | * * * * * * * * * * * * * * * * * * * * * * * * * * * * * 48 * | 0 0 0 0 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 0 0 0 0 1 1 0 0 0 1 | 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 1 0 ................... .........x......... ................... | 0 0 0 0 0 0 0 0 0 2 | * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * 12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 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