©
| Acronym | ... |
| Name | xfofxxfoFxfxo3ooxxoFxFoxxoo3oxfxFofxxfofx&xt (F=ff=x+f) |
| |
| Face vector | 176, 636, 592, 132 |
| Confer |
If the equatorial vertex layer f3x3f would be replaced by 2 layers F3x3o and o3x3F, the thawroes get lost. And further 12 equatorial bilbiroes come in. Moreover the polychoron then gets full hex-symmetry! This is how pretasto is related to this polychoron.
Incidence matrix according to Dynkin symbol
xfofxxfoFxfxo3ooxxoFxFoxxoo3oxfxFofxxfofx&#xt → height(1,2) = height(12,13) = sqrt[3+sqrt(5)]/4 = 0.572061
(F=ff=x+f) height(2,3) = height(3,4) = height(4,5) = height(6,7) = height(7,8) = height(9,10) = height(10,11) = height(11,12) = 1/sqrt(8) = 0.353553
height(5,6) = height(8,9) = sqrt[3-sqrt(5)]/4 = 0.218508
(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,f)-toe || 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 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 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 next tet base 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 2 1 0 0 0 0 0 0 0 0 0 0 0 | 0 1 1 0 0 2 1 1 0 0 0 teddi top 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 tricu base 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 2 0 0 1 0 0 2 0 1 2 1 0 0 | 0 0 0 0 0 1 1 2 1 1 0 (cyan) 3ap base lay
.....o.......3.....o.......3.....o....... & | * * * * * 24 * | 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 2 2 0 | 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 0 2 0 1 0 3 2 | 0 0 1 0 0 0 0 3 0 1 1 opp. bilbiro end lay / axial tet lay
......o......3......o......3......o...... | * * * * * * 24 | 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 2 0 1 | 0 0 0 0 0 0 0 2 2 1 0 one of squippy's base sides: oct type edges of equatorial lay
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x............ ............. ............. & | 2 0 0 0 0 0 0 | 12 * * * * * * * * * * * * * * * * * * | 2 2 0 0 0 0 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
oo...........3oo...........3oo...........&#x & | 1 1 0 0 0 0 0 | * 24 * * * * * * * * * * * * * * * * * | 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 1 2 1 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 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 0 1 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
............. ..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 0 1 1 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 0 1 0 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 1 1 1 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 1 0 1 0 0 0 0 0 0 0 | 0 0 0 0 1 1 0 0 1 1 0
............. ............. ...x......... & | 0 0 0 2 0 0 0 | * * * * * * * * * 24 * * * * * * * * * | 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 | 0 0 1 0 1 0 0 0 0 1 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 1 0 0 1 0 0 1 0 0 0 0 0 0 | 0 0 0 0 0 1 0 1 1 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 0 1 0 0 1 0 0 1 0 0 0 0 0 | 0 0 1 0 0 0 0 1 0 1 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 0 1 1 1 0 0 0 0 0 | 0 0 0 0 0 0 0 1 1 1 0
....x........ ............. ............. & | 0 0 0 0 2 0 0 | * * * * * * * * * * * * * 24 * * * * * | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0 | 0 0 0 0 0 0 1 1 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 1 0
.....x....... ............. ............. & | 0 0 0 0 0 2 0 | * * * * * * * * * * * * * * * 12 * * * | 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 | 0 0 1 0 0 0 0 2 0 0 1
.....oo......3.....oo......3.....oo......&#x & | 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 1 0 1 0 0 1 | 0 0 0 0 0 0 0 2 0 1 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 0 0 0 0 0 2 1 | 0 0 0 0 0 0 0 2 0 0 1
............. ......x...... ............. | 0 0 0 0 0 0 2 | * * * * * * * * * * * * * * * * * * 12 | 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 0 0 2 2 0
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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
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
............. ............. 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
............. .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 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 0 1 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
............. ............. .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 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 0 1 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
..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
............. ..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 0 1 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 0 1 0 1 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
............. ...x.........3...x......... & | 0 0 0 6 0 0 0 | 0 0 0 0 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * 8 * * * * * * * * * * | 0 0 0 0 1 0 0 0 0 1 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 0 1 0 0 1 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
............. ...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 0 0 0 1 1 0
...oo.o......3...oo.o......3...oo.o......&#x & | 0 0 0 1 1 0 1 | 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 | * * * * * * * * * * * * * * * * * 48 * * * * * * | 0 0 0 0 0 0 0 1 1 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 1 0 1 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 1 0
....x.fo..... ............. .............&#xt & | 0 0 0 0 2 1 2 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 0 0 | * * * * * * * * * * * * * * * * * * * * 24 * * * | 0 0 0 0 0 0 0 1 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 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 1
.....ooo.....3.....ooo.....3.....ooo.....&#x | 0 0 0 0 0 2 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 | * * * * * * * * * * * * * * * * * * * * * * * 24 | 0 0 0 0 0 0 0 2 0 0 0
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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 0 2 0 0 2 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 * * * * * * *
............. .o.x.........3.x.x.........&#x & ♦ 0 3 0 6 0 0 0 | 0 0 3 0 6 0 0 0 3 3 0 0 0 0 0 0 0 0 0 | 0 0 0 1 0 3 3 0 0 0 0 0 0 1 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 2 0 0 1 0 0 0 0 0 0 0 0 0 | * * * * * 24 * * * * *
..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 * * * *
..ofxxfo..... ............. .............&#xr & ♦ 0 0 1 2 2 3 2 | 0 0 0 0 0 0 2 2 0 0 2 2 2 1 2 1 4 2 0 | 0 0 0 0 0 0 0 0 0 1 0 2 1 0 0 0 0 2 2 0 1 0 1 2 | * * * * * * * 24 * * *
............. ...xo.x...... .............&#xr & ♦ 0 0 0 2 1 0 2 | 0 0 0 0 0 0 0 0 1 0 2 0 2 0 2 0 0 0 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 0 0 1 0 0 | * * * * * * * * 24 * *
............. ...x.Fx.o....3...x.of.x....&#xt & ♦ 0 0 0 6 3 3 3 | 0 0 0 0 0 0 0 0 3 3 0 6 6 3 6 0 6 0 3 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 3 3 0 6 1 3 3 0 0 | * * * * * * * * * 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
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