Acronym pretasto
Name pentagonorhombic trisnub trisoctachoron
 
 
 ©
Confer
uniform relative:
sadi  
related CRFs:
xfofxxfoFxfxo3ooxxoFxFoxxoo3oxfxFofxxfofx&#xt   icau pretasto  
general polytopal classes:
expanded kaleido-facetings  

If the 2 equatorial vertex layers F3x3o and o3x3F would be replaced by a single layer f3x3f, this clearly breaks the full hex-symmetry. Also the 12 equatorial bilbiroes (shown in the lower pic) get lost. But then too the coes (and some of their surroundings) split into tricues and thawroes. – In fact, that only axial symmetric relative xfofxxfoFxfxo3ooxxoFxFoxxoo3oxfxFofxxfofx&#xt had been found before this one!

The relation to sadi runs as follows: sadi in demitessic subsymmetry can be given as fox3ooo3xfo *b3oxf&#zx. That will be transformed into fo(-x)3oox3xfo *b3oxf&#zx (faceting, same vertex set). Then a Stott expansion wrt. the first node produces this polychoron.


Incidence matrix according to Dynkin symbol

xfofxxFooFxfxo3ooxxoFxxFoxxoo3oxfxFooFxxfofx&#xt   → height(1,2) = height(13,14) = sqrt[3+sqrt(5)]/4 = 0.572061
(F=ff=x+f)                                           height(2,3) = height(3,4) = height(4,5) = height(10,11) = height(11,12) = height(12,13) = 1/sqrt(8) = 0.353553
                                                     height(5,6) = height(9,10) = sqrt[3-sqrt(5)]/4 = 0.218508
                                                     height(6,7) = height(8,9) = sqrt[7-3 sqrt(5)]/4 = 0.135045
                                                     height(7,8) = sqrt[3-sqrt(5)]/2 = 0.437016
(tet || pseudo (f,x)-co || inv. pseudo (f,x)-tut || pseudo (f,x,x)-toe || pseudo (x,F)-co || pseudo (x,F)-tut || pseudo (F,x)-tut || inv. pseudo (F,x)-tut || inv. pseudo (x,F)-tut || pseudo (F,x)-co || pseudo (x,x,f)-toe || pseudo (f,x)-tut || pseudo (x,f)-co || dual tet)

o.............3o.............3o.............     & | 8  *  *  *  *  *  * |  3  3  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 | 3  6  3 0  0  0  1  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  a  tet lay
.o............3.o............3.o............     & | * 24  *  *  *  *  * |  0  1  2  2  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0 | 0  2  2 1  1  1  2  2 0  0  0  0  0  0  0  0  0  0  0 0  0  0  0 0 | 0 1  2 1  1 1 0  0  0  0 0 0  b  next tet base lay / co 1st lay
..o...........3..o...........3..o...........     & | *  * 24  *  *  *  * |  0  0  0  2  0  2  2  2  0  0  0  0  0  0  0  0  0  0  0 | 0  1  0 0  2  0  0  2 1  1  2  1  2  0  0  0  0  0  0 0  0  0  0 0 | 0 1  1 0  2 0 1  1  0  0 0 0  c  teddi last lay / (cyan) oct 1st lay
...o..........3...o..........3...o..........     & | *  *  * 48  *  *  * |  0  0  0  0  1  0  1  0  1  1  1  1  1  0  0  0  0  0  0 | 0  0  0 0  0  1  1  1 0  0  0  1  1  1  1  1  1  1  1 0  0  0  0 0 | 0 0  1 0  1 1 0  1  1  1 0 0  b  co 2nd lay
....o.........3....o.........3....o.........     & | *  *  *  * 24  *  * |  0  0  0  0  0  0  0  2  0  0  2  0  0  2  2  0  0  0  0 | 0  0  0 0  0  0  0  0 0  2  1  0  2  1  0  0  0  2  0 1  2  1  0 0 | 0 0  0 0  1 0 1  2  1  0 1 0  c  (cyan) 3ap 2nd lay
.....o........3.....o........3.....o........     & | *  *  *  *  * 24  * |  0  0  0  0  0  0  0  0  0  0  0  2  0  0  0  1  1  2  0 | 0  0  0 0  0  0  0  0 0  0  0  2  0  0  1  0  0  4  2 0  0  0  3 0 | 0 0  1 0  0 0 0  3  2  1 0 1  a  bilbiro last lay / axial tet 1st lay
......o.......3......o.......3......o.......     & | *  *  *  *  *  * 24 |  0  0  0  0  0  0  0  0  0  0  0  0  2  0  2  0  1  0  2 | 0  0  0 0  0  0  0  0 0  0  0  0  0  0  0  2  1  2  2 0  1  2  0 1 | 0 0  0 0  0 1 0  1  2  1 1 0  b  co last lay
---------------------------------------------------+---------------------+----------------------------------------------------------+--------------------------------------------------------------------+-----------------------------
x............. .............. ..............     & | 2  0  0  0  0  0  0 | 12  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 2  2  0 0  0  0  1  0 0  0  0  0  0  0  0  0  0  0  0 0  0  0  0 0 | 1 2  1 0  0 0 0  0  0  0 0 0
oo............3oo............3oo............&#x  & | 1  1  0  0  0  0  0 |  * 24  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0  2  2 0  0  0  1  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  0  0 0 0
.............. .............. .x............     & | 0  2  0  0  0  0  0 |  *  * 24  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 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  1 1  0 1 0  0  0  0 0 0
.oo...........3.oo...........3.oo...........&#x  & | 0  1  1  0  0  0  0 |  *  *  * 48  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0  1  0 0  1  0  0  1 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
.o.o..........3.o.o..........3.o.o..........&#x  & | 0  1  0  1  0  0  0 |  *  *  *  * 48  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 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  1 0  1 1 0  0  0  0 0 0
.............. ..x........... ..............     & | 0  0  2  0  0  0  0 |  *  *  *  *  * 24  *  *  *  *  *  *  *  *  *  *  *  *  * | 0  0  0 0  1  0  0  0 1  0  1  0  0  0  0  0  0  0  0 0  0  0  0 0 | 0 1  0 0  1 0 1  0  0  0 0 0
..oo..........3..oo..........3..oo..........&#x  & | 0  0  1  1  0  0  0 |  *  *  *  *  *  * 48  *  *  *  *  *  *  *  *  *  *  *  * | 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  1 0  1 0 0  1  0  0 0 0
..o.o.........3..o.o.........3..o.o.........&#x  & | 0  0  1  0  1  0  0 |  *  *  *  *  *  *  * 48  *  *  *  *  *  *  *  *  *  *  * | 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  1 0 1  1  0  0 0 0
.............. ...x.......... ..............     & | 0  0  0  2  0  0  0 |  *  *  *  *  *  *  *  * 24  *  *  *  *  *  *  *  *  *  * | 0  0  0 0  0  1  0  0 0  0  0  0  0  1  0  1  0  0  0 0  0  0  0 0 | 0 0  0 0  1 1 0  0  1  0 0 0
.............. .............. ...x..........     & | 0  0  0  2  0  0  0 |  *  *  *  *  *  *  *  *  * 24  *  *  *  *  *  *  *  *  * | 0  0  0 0  0  0  1  0 0  0  0  0  0  0  1  0  1  0  0 0  0  0  0 0 | 0 0  1 0  0 1 0  0  0  1 0 0
...oo.........3...oo.........3...oo.........&#x  & | 0  0  0  1  1  0  0 |  *  *  *  *  *  *  *  *  *  * 48  *  *  *  *  *  *  *  * | 0  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  1 0 0  1  1  0 0 0
...o.o........3...o.o........3...o.o........&#x  & | 0  0  0  1  0  1  0 |  *  *  *  *  *  *  *  *  *  *  * 48  *  *  *  *  *  *  * | 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  1 0  0 0 0  1  1  1 0 0
...o..o.......3...o..o.......3...o..o.......&#x  & | 0  0  0  1  0  0  1 |  *  *  *  *  *  *  *  *  *  *  *  * 48  *  *  *  *  *  * | 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  0 1 0  0  1  1 0 0
....x......... .............. ..............     & | 0  0  0  0  2  0  0 |  *  *  *  *  *  *  *  *  *  *  *  *  * 24  *  *  *  *  * | 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 1  1  0  0 1 0
....o..o......3....o..o......3....o..o......&#x  & | 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  1  0 0  1  1  0 0 | 0 0  0 0  0 0 0  1  1  0 1 0
.....x........ .............. ..............     & | 0  0  0  0  0  2  0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 12  *  *  * | 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  1 0  0 0 0  2  0  0 0 1
.....oo.......3.....oo.......3.....oo.......&#x  & | 0  0  0  0  0  1  1 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 24  *  * | 0  0  0 0  0  0  0  0 0  0  0  0  0  0  0  0  0  2  2 0  0  0  0 0 | 0 0  0 0  0 0 0  1  2  1 0 0
.....o..o.....3.....o..o.....3.....o..o.....&#x    | 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  2  0 0  0  0  2 0 | 0 0  0 0  0 0 0  2  1  0 0 1
.............. ......x....... ..............     & | 0  0  0  0  0  0  2 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 24 | 0  0  0 0  0  0  0  0 0  0  0  0  0  0  0  1  0  0  0 0  0  1  0 1 | 0 0  0 0  0 1 0  0  1  0 1 0
---------------------------------------------------+---------------------+----------------------------------------------------------+--------------------------------------------------------------------+-----------------------------
x.............3o............. ..............     & | 3  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 | 8  *  * *  *  *  *  * *  *  *  *  *  *  *  *  *  *  * *  *  *  * * | 1 1  0 0  0 0 0  0  0  0 0 0
xfo........... .............. ..............&#xt & | 2  2  1  0  0  0  0 |  1  2  0  2  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
.............. .............. ox............&#x  & | 1  2  0  0  0  0  0 |  0  2  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 | *  * 24 *  *  *  *  * *  *  *  *  *  *  *  *  *  *  * *  *  *  * * | 0 0  1 1  0 0 0  0  0  0 0 0
.............. .o............3.x............     & | 0  3  0  0  0  0  0 |  0  0  3  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 | *  *  * 8  *  *  *  * *  *  *  *  *  *  *  *  *  *  * *  *  *  * * | 0 0  0 1  0 1 0  0  0  0 0 0
.............. .ox........... ..............&#x  & | 0  1  2  0  0  0  0 |  0  0  0  2  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0 | *  *  * * 24  *  *  * *  *  *  *  *  *  *  *  *  *  * *  *  *  * * | 0 1  0 0  1 0 0  0  0  0 0 0
.............. .o.x.......... ..............&#x  & | 0  1  0  2  0  0  0 |  0  0  0  0  2  0  0  0  1  0  0  0  0  0  0  0  0  0  0 | *  *  * *  * 24  *  * *  *  *  *  *  *  *  *  *  *  * *  *  *  * * | 0 0  0 0  1 1 0  0  0  0 0 0
.............. .............. .x.x..........&#x  & | 0  2  0  2  0  0  0 |  0  0  1  0  2  0  0  0  0  1  0  0  0  0  0  0  0  0  0 | *  *  * *  *  * 24  * *  *  *  *  *  *  *  *  *  *  * *  *  *  * * | 0 0  1 0  0 1 0  0  0  0 0 0
.ooo..........3.ooo..........3.ooo..........&#x  & | 0  1  1  1  0  0  0 |  0  0  0  1  1  0  1  0  0  0  0  0  0  0  0  0  0  0  0 | *  *  * *  *  *  * 48 *  *  *  *  *  *  *  *  *  *  * *  *  *  * * | 0 0  1 0  1 0 0  0  0  0 0 0
..o...........3..x........... ..............     & | 0  0  3  0  0  0  0 |  0  0  0  0  0  3  0  0  0  0  0  0  0  0  0  0  0  0  0 | *  *  * *  *  *  *  * 8  *  *  *  *  *  *  *  *  *  * *  *  *  * * | 0 1  0 0  0 0 1  0  0  0 0 0
..o.x......... .............. ..............&#x  & | 0  0  1  0  2  0  0 |  0  0  0  0  0  0  0  2  0  0  0  0  0  1  0  0  0  0  0 | *  *  * *  *  *  *  * * 24  *  *  *  *  *  *  *  *  * *  *  *  * * | 0 0  0 0  0 0 1  1  0  0 0 0
.............. ..x.o......... ..............&#x  & | 0  0  2  0  1  0  0 |  0  0  0  0  0  1  0  2  0  0  0  0  0  0  0  0  0  0  0 | *  *  * *  *  *  *  * *  * 24  *  *  *  *  *  *  *  * *  *  *  * * | 0 0  0 0  1 0 1  0  0  0 0 0
..of.x........ .............. ..............&#xt & | 0  0  1  2  0  2  0 |  0  0  0  0  0  0  2  0  0  0  0  2  0  0  0  1  0  0  0 | *  *  * *  *  *  *  * *  *  * 24  *  *  *  *  *  *  * *  *  *  * * | 0 0  1 0  0 0 0  1  0  0 0 0
..ooo.........3..ooo.........3..ooo.........&#x  & | 0  0  1  1  1  0  0 |  0  0  0  0  0  0  1  1  0  0  1  0  0  0  0  0  0  0  0 | *  *  * *  *  *  *  * *  *  *  * 48  *  *  *  *  *  * *  *  *  * * | 0 0  0 0  1 0 0  1  0  0 0 0
.............. ...xo......... ..............&#x  & | 0  0  0  2  1  0  0 |  0  0  0  0  0  0  0  0  1  0  2  0  0  0  0  0  0  0  0 | *  *  * *  *  *  *  * *  *  *  *  * 24  *  *  *  *  * *  *  *  * * | 0 0  0 0  1 0 0  0  1  0 0 0
.............. .............. ...x.o........&#x  & | 0  0  0  2  0  1  0 |  0  0  0  0  0  0  0  0  0  1  0  2  0  0  0  0  0  0  0 | *  *  * *  *  *  *  * *  *  *  *  *  * 24  *  *  *  * *  *  *  * * | 0 0  1 0  0 0 0  0  0  1 0 0
.............. ...x..x....... ..............&#x  & | 0  0  0  2  0  0  2 |  0  0  0  0  0  0  0  0  1  0  0  0  2  0  0  0  0  0  1 | *  *  * *  *  *  *  * *  *  *  *  *  *  * 24  *  *  * *  *  *  * * | 0 0  0 0  0 1 0  0  1  0 0 0
.............. .............. ...x..o.......&#x  & | 0  0  0  2  0  0  1 |  0  0  0  0  0  0  0  0  0  1  0  0  2  0  0  0  0  0  0 | *  *  * *  *  *  *  * *  *  *  *  *  *  *  * 24  *  * *  *  *  * * | 0 0  0 0  0 1 0  0  0  1 0 0
...ooo.oo.....3...ooo.oo.....3...ooo.oo.....&#xr & | 0  0  0  1  1  2  1 |  0  0  0  0  0  0  0  0  0  0  1  1  0  0  1  0  1  1  0 | *  *  * *  *  *  *  * *  *  *  *  *  *  *  *  * 48  * *  *  *  * * | 0 0  0 0  0 0 0  1  1  0 0 0
...o.oo.......3...o.oo.......3...o.oo.......&#x  & | 0  0  0  1  0  1  1 |  0  0  0  0  0  0  0  0  0  0  0  1  1  0  0  0  1  0  0 | *  *  * *  *  *  *  * *  *  *  *  *  *  *  *  *  * 48 *  *  *  * * | 0 0  0 0  0 0 0  0  1  1 0 0
....x.........3....o......... ..............     & | 0  0  0  0  3  0  0 |  0  0  0  0  0  0  0  0  0  0  0  0  0  3  0  0  0  0  0 | *  *  * *  *  *  *  * *  *  *  *  *  *  *  *  *  *  * 8  *  *  * * | 0 0  0 0  0 0 1  0  0  0 1 0
....x..o...... .............. ..............&#x  & | 0  0  0  0  2  0  1 |  0  0  0  0  0  0  0  0  0  0  0  0  0  1  2  0  0  0  0 | *  *  * *  *  *  *  * *  *  *  *  *  *  *  *  *  *  * * 24  *  * * | 0 0  0 0  0 0 0  1  0  0 1 0
.............. ....o..x...... ..............&#x  & | 0  0  0  0  1  0  2 |  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  0  0  0  1 | *  *  * *  *  *  *  * *  *  *  *  *  *  *  *  *  *  * *  * 24  * * | 0 0  0 0  0 0 0  0  1  0 1 0
.....x..o..... .............. ..............&#x  & | 0  0  0  0  0  3  0 |  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  1  0  2  0 | *  *  * *  *  *  *  * *  *  *  *  *  *  *  *  *  *  * *  *  * 24 * | 0 0  0 0  0 0 0  1  0  0 0 1
.............. ......x.......3......o.......     & | 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  3 | *  *  * *  *  *  *  * *  *  *  *  *  *  *  *  *  *  * *  *  *  * 8 | 0 0  0 0  0 1 0  0  0  0 1 0
---------------------------------------------------+---------------------+----------------------------------------------------------+--------------------------------------------------------------------+-----------------------------
x.............3o.............3o.............     &  4  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  0  0 0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0 0  0  0  0 0 | 2 *  * *  * * *  *  *  * * *
xfo...........3oox........... ..............&#xt &  3  3  3  0  0  0  0 |  3  3  0  6  0  3  0  0  0  0  0  0  0  0  0  0  0  0  0 | 1  3  0 0  3  0  0  0 1  0  0  0  0  0  0  0  0  0  0 0  0  0  0 0 | * 8  * *  * * *  *  *  * * *
xfof.x........ .............. oxfx.o........&#xt &  2  4  2  4  0  2  0 |  1  4  2  4  4  0  4  0  0  2  0  4  0  0  0  1  0  0  0 | 0  2  2 0  0  0  2  4 0  0  0  2  0  0  2  0  0  0  0 0  0  0  0 0 | * * 12 *  * * *  *  *  * * *
.............. oo............3ox............&#x  &  1  3  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  3 1  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0 0  0  0  0 0 | * *  * 8  * * *  *  *  * * *
.............. .oxxo......... ..............&#xr &  0  1  2  2  1  0  0 |  0  0  0  2  2  1  2  2  1  0  2  0  0  0  0  0  0  0  0 | 0  0  0 0  1  1  0  2 0  0  1  0  2  1  0  0  0  0  0 0  0  0  0 0 | * *  * * 24 * *  *  *  * * *
.............. .o.x..x.......3.x.x..o.......&#xt &  0  3  0  6  0  0  3 |  0  0  3  0  6  0  0  0  3  3  0  0  6  0  0  0  0  0  3 | 0  0  0 1  0  3  3  0 0  0  0  0  0  0  0  3  3  0  0 0  0  0  0 1 | * *  * *  * 8 *  *  *  * * *
..o.x.........3..x.o......... ..............&#x  &  0  0  3  0  3  0  0 |  0  0  0  0  0  3  0  6  0  0  0  0  0  3  0  0  0  0  0 | 0  0  0 0  0  0  0  0 1  3  3  0  0  0  0  0  0  0  0 1  0  0  0 0 | * *  * *  * * 8  *  *  * * *
..ofxx.oo..... .............. ..............&#xr &  0  0  1  2  2  3  1 |  0  0  0  0  0  0  2  2  0  0  2  2  0  1  2  1  1  2  0 | 0  0  0 0  0  0  0  0 0  1  0  1  2  0  0  0  0  2  0 0  1  0  1 0 | * *  * *  * * * 24  *  * * *
.............. ...xoFxxFox... ..............&#xr    0  0  0  4  2  4  4 |  0  0  0  0  0  0  0  0  2  0  4  4  4  0  4  0  4  2  2 | 0  0  0 0  0  0  0  0 0  0  0  0  0  2  0  2  0  4  4 0  0  2  0 0 | * *  * *  * * *  * 12  * * *
.............. .............. ...x.oo.......&#xr &  0  0  0  2  0  1  1 |  0  0  0  0  0  0  0  0  0  1  0  2  2  0  0  0  1  0  0 | 0  0  0 0  0  0  0  0 0  0  0  0  0  0  1  0  1  0  2 0  0  0  0 0 | * *  * *  * * *  *  * 24 * *
....x..o......3....o..x...... ..............&#x  &  0  0  0  0  3  0  3 |  0  0  0  0  0  0  0  0  0  0  0  0  0  3  6  0  0  0  3 | 0  0  0 0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0 1  3  3  0 1 | * *  * *  * * *  *  *  * 8 *
.....x..o..... .............. .....o..x.....&#x     0  0  0  0  0  4  0 |  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  0  4  0 | 0  0  0 0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0 0  0  0  4 0 | * *  * *  * * *  *  *  * * 6

Fxo3oox3xfo *b3oxf&#zx   → all heights = 0
(tegum sum of (F,x)-rit, (x,f,x)-rico and (x,f)-thex)

o..3o..3o.. *b3o..     | 32  *  * |  3  3  0  0   0  0 |  3  6  3  0  0  0  0  0  0  0 | 1  3  1  3 0  0 0  (layer 1+6+9+14 above)
.o.3.o.3.o. *b3.o.     |  * 96  * |  0  1  2  2   2  0 |  0  2  2  1  2  1  2  1  0  0 | 0  2  1  1 1  1 0  (layer 2+4+7+8+11+13 above)
..o3..o3..o *b3..o     |  *  * 48 |  0  0  0  0   4  4 |  0  2  0  0  0  0  2  4  2  2 | 0  1  0  2 0  2 1  (layer 3+5+10+12 above)
-----------------------+----------+--------------------+-------------------------------+------------------
... ... x..    ...     |  2  0  0 | 48  *  *  *   *  * |  2  2  0  0  0  0  0  0  0  0 | 1  1  0  2 0  0 0
oo.3oo.3oo. *b3oo.&#x  |  1  1  0 |  * 96  *  *   *  * |  0  2  2  0  0  0  0  0  0  0 | 0  2  1  1 0  0 0
.x. ... ...    ...     |  0  2  0 |  *  * 96  *   *  * |  0  0  0  1  1  0  1  0  0  0 | 0  1  0  0 1  1 0
... ... ...    .x.     |  0  2  0 |  *  *  * 96   *  * |  0  0  1  0  1  1  0  0  0  0 | 0  1  1  0 1  0 0
.oo3.oo3.oo *b3.oo&#x  |  0  1  1 |  *  *  *  * 192  * |  0  1  0  0  0  0  1  1  0  0 | 0  1  0  1 0  1 0
... ..x ...    ...     |  0  0  2 |  *  *  *  *   * 96 |  0  0  0  0  0  0  0  1  1  1 | 0  0  0  1 0  1 1
-----------------------+----------+--------------------+-------------------------------+------------------
... o..3x..    ...     |  3  0  0 |  3  0  0  0   0  0 | 32  *  *  *  *  *  *  *  *  * | 1  0  0  1 0  0 0
... ... xfo    ...&#xt |  2  2  1 |  1  2  0  0   2  0 |  * 96  *  *  *  *  *  *  *  * | 0  1  0  1 0  0 0
... ... ...    ox.&#x  |  1  2  0 |  0  2  0  1   0  0 |  *  * 96  *  *  *  *  *  *  * | 0  1  1  0 0  0 0
.x.3.o. ...    ...     |  0  3  0 |  0  0  3  0   0  0 |  *  *  * 32  *  *  *  *  *  * | 0  0  0  0 1  1 0
.x. ... ...    .x.     |  0  4  0 |  0  0  2  2   0  0 |  *  *  *  * 48  *  *  *  *  * | 0  1  0  0 1  0 0
... .o. ... *b3.x.     |  0  3  0 |  0  0  0  3   0  0 |  *  *  *  *  * 32  *  *  *  * | 0  0  1  0 1  0 0
.xo ... ...    ...&#x  |  0  2  1 |  0  0  1  0   2  0 |  *  *  *  *  *  * 96  *  *  * | 0  1  0  0 0  1 0
... .ox ...    ...&#x  |  0  1  2 |  0  0  0  0   2  1 |  *  *  *  *  *  *  * 96  *  * | 0  0  0  1 0  1 0
..o3..x ...    ...     |  0  0  3 |  0  0  0  0   0  3 |  *  *  *  *  *  *  *  * 32  * | 0  0  0  0 0  1 1
... ..x3..o    ...     |  0  0  3 |  0  0  0  0   0  3 |  *  *  *  *  *  *  *  *  * 32 | 0  0  0  1 0  0 1
-----------------------+----------+--------------------+-------------------------------+------------------
... o..3x.. *b3o..       4  0  0 |  6  0  0  0   0  0 |  4  0  0  0  0  0  0  0  0  0 | 8  *  *  * *  * *
Fxo ... xfo    oxf&#zx   4  8  2 |  2  8  4  4   8  0 |  0  4  4  0  2  0  4  0  0  0 | * 24  *  * *  * *
... oo. ... *b3ox.&#x    1  3  0 |  0  3  0  3   0  0 |  0  0  3  0  0  1  0  0  0  0 | *  * 32  * *  * *
... oox3xfo    ...&#xt   3  3  3 |  3  3  0  0   6  3 |  1  3  0  0  0  0  0  3  0  1 | *  *  * 32 *  * *
.x.3.o. ... *b3.x.       0 12  0 |  0  0 12 12   0  0 |  0  0  0  4  6  4  0  0  0  0 | *  *  *  * 8  * *
.xo3.ox ...    ...&#x    0  3  3 |  0  0  3  0   6  3 |  0  0  0  1  0  0  3  3  1  0 | *  *  *  * * 32 *
..o3..x3..o    ...       0  0  6 |  0  0  0  0   0 12 |  0  0  0  0  0  0  0  0  4  4 | *  *  *  * *  * 8

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