Acronym | ... |
Name | xoofxxFfooFxofo3xxFxoFxxxFoxFxx3ofoxFoofFxxfoox&#xt |
Face vector | 204, 924, 1104, 384 |
Confer |
|
The relation to ex runs as follows: ex in axial tetrahedral subsymmetry can be given as xoofoxFfoofxofo 3 oofoxfooofxofoo 3 ofoxfoofFxofoox &#xt (F = ff = f+x). There the fifth layer will be transformed according to: o3x3f → x3(-x)3F and the eleventh layer according to: f3x3o → F3(-x)3x. This then results in the kaleido-faceting xoofxxFfooFxofo 3 oofo(-x)fooof(-x)ofoo 3 ofoxFoofFxxfoox &#xt. Then a (uniformly to all layers) applied Stott expansion wrt. the second node produces this polychoron.
Incidence matrix according to Dynkin symbol
xoofxxFfooFxofo3xxFxoFxxxFoxFxx3ofoxFoofFxxfoox&#xt → height(1,2) = height(3,4) = height(5,6) = height(7,8) = height(8,9) = height(10,11) = height(12,13) = height(14,15) = sqrt[3-sqrt(5)]/4 = 0.218508 height(2,3) = height(6,7) = height(9,10) = height(13,14) = sqrt[7-3 sqrt(5)]/4 = 0.135045 height(4,5) = height(11,12) = 1/sqrt(8) = 0.353553 (tut || pseudo inv (f,x)-tut || pseudo F-oct || pseudo (f,x,x)-toe || pseudo (x,F)-co || pseudo (x,F)-tut || pseudo (F,x)-tut || pseudo (f,x,f)-toe || pseudo inv (F,x)-tut || pseudo inv (x,F)-tut || pseudo (F,x)-co || pseudo (x,x,f)-toe || pseudo F-oct || pseudo (f,x)-tut || inv tut) o..............3o..............3o.............. & | 24 * * * * * * * | 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 | 2 1 2 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 0 0 0 0 0 0 0 0 0 | 1 2 2 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 .o.............3.o.............3.o............. & | * 24 * * * * * * | 0 0 2 0 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 1 2 0 0 0 2 2 0 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 0 0 0 | 0 1 1 2 0 0 2 1 2 1 0 0 0 0 0 0 0 0 0 ..o............3..o............3..o............ & | * * 12 * * * * * | 0 0 0 2 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 1 0 0 4 0 4 0 0 0 0 4 0 2 1 4 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 4 0 0 2 2 0 0 0 0 0 0 0 0 ...o...........3...o...........3...o........... & | * * * 48 * * * * | 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 1 1 0 1 1 0 1 0 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 | 0 0 0 1 1 1 1 0 1 1 1 1 1 1 1 1 0 0 0 ....o..........3....o..........3....o.......... & | * * * * 24 * * * | 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 2 1 0 2 0 0 0 0 1 0 0 0 0 2 0 0 0 1 1 2 1 2 0 0 0 0 0 | 0 0 0 0 0 0 0 1 1 2 0 0 1 0 0 0 1 1 0 .....o.........3.....o.........3.....o......... & | * * * * * 24 * * | 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 1 2 0 0 1 0 0 0 0 2 2 0 0 0 0 0 0 3 2 2 0 0 | 0 0 0 0 0 0 0 0 0 3 1 0 0 1 0 2 0 0 1 ......o........3......o........3......o........ & | * * * * * * 24 * | 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 2 1 0 0 2 0 2 0 0 1 2 2 0 2 0 1 2 | 0 0 0 0 0 0 0 0 0 1 0 1 0 1 2 2 2 1 0 .......o.......3.......o.......3.......o....... | * * * * * * * 24 | 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 0 0 2 2 0 2 2 0 2 0 0 2 0 2 1 0 2 | 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 2 0 0 ------------------------------------------------------+-------------------------+----------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------+-------------------------------------------------- x.............. ............... ............... & | 2 0 0 0 0 0 0 0 | 12 * * * * * * * * * * * * * * * * * * * * * * * * * * | 2 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 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ............... x.............. ............... & | 2 0 0 0 0 0 0 0 | * 24 * * * * * * * * * * * * * * * * * * * * * * * * * | 1 1 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 0 0 | 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 oo.............3oo.............3oo.............&#x & | 1 1 0 0 0 0 0 0 | * * 48 * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 1 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 0 | 0 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 o.o............3o.o............3o.o............&#x & | 1 0 1 0 0 0 0 0 | * * * 24 * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 1 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 0 0 0 0 0 0 0 0 | 0 0 2 0 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 o..o...........3o..o...........3o..o...........&#x & | 1 0 0 1 0 0 0 0 | * * * * 48 * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 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 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 ............... .x............. ............... & | 0 2 0 0 0 0 0 0 | * * * * * 24 * * * * * * * * * * * * * * * * * * * * * | 0 0 0 1 0 0 0 0 0 0 1 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 1 0 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 .oo............3.oo............3.oo............&#x & | 0 1 1 0 0 0 0 0 | * * * * * * 24 * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 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 0 0 0 0 0 0 | 0 0 1 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 1 0 1 0 0 0 0 | * * * * * * * 48 * * * * * * * * * * * * * * * * * * * | 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 0 0 0 0 0 | 0 0 0 1 0 0 1 0 1 1 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 | * * * * * * * * 48 * * * * * * * * * * * * * * * * * * | 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 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 ..oo...........3..oo...........3..oo...........&#x & | 0 0 1 1 0 0 0 0 | * * * * * * * * * 48 * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 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 1 1 0 0 1 1 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 | * * * * * * * * * * 24 * * * * * * * * * * * * * * * * | 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 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 ............... ...x........... ............... & | 0 0 0 2 0 0 0 0 | * * * * * * * * * * * 24 * * * * * * * * * * * * * * * | 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 1 0 1 0 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 1 0 1 0 0 0 0 ............... ............... ...x........... & | 0 0 0 2 0 0 0 0 | * * * * * * * * * * * * 24 * * * * * * * * * * * * * * | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 ...oo..........3...oo..........3...oo..........&#x & | 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 1 0 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 1 1 0 0 1 0 0 0 0 0 0 ...o.o.........3...o.o.........3...o.o.........&#x & | 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 1 0 0 1 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 1 1 0 0 1 0 1 0 0 0 ...o..o........3...o..o........3...o..o........&#x & | 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 1 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 1 0 1 1 1 0 0 0 ...o...o.......3...o...o.......3...o...o.......&#x & | 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 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 1 0 0 1 0 1 1 0 0 0 ....x.......... ............... ............... & | 0 0 0 0 2 0 0 0 | * * * * * * * * * * * * * * * * * 24 * * * * * * * * * | 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 1 0 1 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 0 ....o..o.......3....o..o.......3....o..o.......&#x & | 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 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 1 0 0 1 0 0 0 1 0 0 ....o...o......3....o...o......3....o...o......&#x & | 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 1 1 1 0 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 2 0 0 | * * * * * * * * * * * * * * * * * * * * 12 * * * * * * | 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 0 0 0 2 0 0 0 0 0 0 0 0 1 .....oo........3.....oo........3.....oo........&#x & | 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 0 0 2 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 0 2 0 0 0 .....o.o.......3.....o.o.......3.....o.o.......&#x & | 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 0 0 1 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 0 1 0 0 0 .....o...o.....3.....o...o.....3.....o...o.....&#x | 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 2 0 1 0 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 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 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 ......oo.......3......oo.......3......oo.......&#x & | 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 1 0 1 0 0 1 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 ............... .......x....... ............... | 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 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 | 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 0 ------------------------------------------------------+-------------------------+----------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------+-------------------------------------------------- x..............3x.............. ............... & | 6 0 0 0 0 0 0 0 | 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 | 8 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ............... x..............3o.............. & | 3 0 0 0 0 0 0 0 | 0 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 | * 8 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 xo............. ............... ...............&#x & | 2 1 0 0 0 0 0 0 | 1 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 | * * 24 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ............... xx............. ...............&#x & | 2 2 0 0 0 0 0 0 | 0 1 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * 24 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 x.o............ ............... ...............&#x & | 2 0 1 0 0 0 0 0 | 1 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 | * * * * 12 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ............... x..x........... ...............&#x & | 2 0 0 2 0 0 0 0 | 0 1 0 0 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * 24 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ............... ............... o..x...........&#x & | 1 0 0 2 0 0 0 0 | 0 0 0 0 2 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * 24 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ooo............3ooo............3ooo............&#x & | 1 1 1 0 0 0 0 0 | 0 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * 48 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 oo.o...........3oo.o...........3oo.o...........&#x & | 1 1 0 1 0 0 0 0 | 0 0 1 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * 48 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 o.oo...........3o.oo...........3o.oo...........&#x & | 1 0 1 1 0 0 0 0 | 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * 48 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 .o.............3.x............. ............... & | 0 3 0 0 0 0 0 0 | 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * 8 * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 ............... .x.x........... ...............&#x & | 0 2 0 2 0 0 0 0 | 0 0 0 0 0 1 0 2 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * 24 * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 .o..x.......... ............... ...............&#x & | 0 1 0 0 2 0 0 0 | 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * 24 * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 ............... .x..o.......... ...............&#x & | 0 2 0 0 1 0 0 0 | 0 0 0 0 0 1 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * 24 * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 .ooo...........3.ooo...........3.ooo...........&#x & | 0 1 1 1 0 0 0 0 | 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * 48 * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 .o.oo..........3.o.oo..........3.o.oo..........&#x & | 0 1 0 1 1 0 0 0 | 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * 48 * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 ............... ............... ..ox...........&#x & | 0 0 1 2 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 0 0 0 0 0 | * * * * * * * * * * * * * * * * 24 * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 ..o..x......... ............... ...............&#x & | 0 0 1 0 0 2 0 0 | 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * 12 * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 ..oo.o.........3..oo.o.........3..oo.o.........&#x & | 0 0 1 1 0 1 0 0 | 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * 48 * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 ............... ...x...........3...x........... & | 0 0 0 6 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * * 8 * * * * * * * * * * * * * * * * * * * | 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 ............... ...xo.......... ...............&#x & | 0 0 0 2 1 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 | * * * * * * * * * * * * * * 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