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| Acronym | ... |
| Name | oxFxofx3xfoxFxo3ooxfooo&#xt (F=ff=x+f) |
| |
| Face vector | 76, 264, 258, 70 |
| Confer |
The 3 medial vertex layers F3o3x, x3x3f, and o3F3o, together with connecting edges and faces, form a skew dissectioning surface. (That one is shown in the above pictures at outline of the near resp. far half.) It is interesting, that still there is a completely different continuation beyond known as well, which uses in that half thawro cells too, but then in opposite orientation: oxFxoo3xfoxFx3ooxfox&#xt.
Also the nearer half can be replaced, then reversing the orientation of the teddies. Together with the second half from here becoming then: oxFxofx3xooxFxo3ofxfooo&#xt.
Incidence matrix according to Dynkin symbol
oxFxofx3xfoxFxo3ooxfooo&#xt → height(1,2) = height(3,4) = 1/sqrt(8) = 0.353553
(F=ff=x+f) height(2,3) = height(4,5) = height(6,7) = sqrt[3-sqrt(5)]/4 = 0.218508
height(5,6) = sqrt[7-3 sqrt(5)]/4 = 0.135045
(oct || pseudo (x,f)-tut || pseudo (F,x)-co || pseudo (x,x,f)-toe || pseudo F-oct || (f,x)-tut || tet)
o......3o......3o...... | 6 * * * * * * | 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 2 1 4 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
.o.....3.o.....3.o..... | * 12 * * * * * | 0 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 | 0 0 1 2 1 2 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 2 1 2 1 0 0 0 0 0 0
..o....3..o....3..o.... | * * 12 * * * * | 0 0 0 2 0 0 2 2 2 0 0 0 0 0 0 0 0 | 0 0 0 1 2 0 0 2 0 1 1 2 1 2 2 0 0 0 0 0 0 0 0 | 0 1 1 0 2 1 1 2 0 0 0
...o...3...o...3...o... | * * * 24 * * * | 0 0 0 0 1 0 0 1 0 1 1 1 1 0 0 0 0 | 0 0 0 0 0 1 0 1 1 0 1 1 0 0 1 1 1 1 0 0 0 0 0 | 0 1 0 1 1 0 1 1 1 0 0
....o..3....o..3....o.. | * * * * 6 * * | 0 0 0 0 0 2 0 0 0 0 0 4 0 2 0 0 0 | 0 0 0 0 0 0 1 0 4 0 0 2 0 0 0 0 2 0 4 1 0 0 0 | 0 0 0 2 2 0 0 2 2 0 0
.....o.3.....o.3.....o. | * * * * * 12 * | 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 0 | 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 2 2 1 1 2 0 | 0 0 0 0 0 1 2 1 2 1 0
......o3......o3......o | * * * * * * 4 ♦ 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 0 0 0 0 0 3 0 3 3 | 0 0 0 0 0 0 0 0 3 1 1
----------------------------+-------------------+--------------------------------------------------+-------------------------------------------------------------+--------------------------
....... x...... ....... | 2 0 0 0 0 0 0 | 12 * * * * * * * * * * * * * * * * | 1 1 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 0 0
oo.....3oo.....3oo.....&#x | 1 1 0 0 0 0 0 | * 12 * * * * * * * * * * * * * * * | 0 0 1 2 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 2 0 0 0 0 0 | * * 6 * * * * * * * * * * * * * * | 0 0 1 0 0 2 1 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 0 0
.oo....3.oo....3.oo....&#x | 0 1 1 0 0 0 0 | * * * 24 * * * * * * * * * * * * * | 0 0 0 1 1 0 0 1 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
.o.o...3.o.o...3.o.o...&#x | 0 1 0 1 0 0 0 | * * * * 24 * * * * * * * * * * * * | 0 0 0 0 0 1 0 1 1 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
.o..o..3.o..o..3.o..o..&#x | 0 1 0 0 1 0 0 | * * * * * 12 * * * * * * * * * * * | 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 2 1 0 0 0 0 0 0
....... ....... ..x.... | 0 0 2 0 0 0 0 | * * * * * * 12 * * * * * * * * * * | 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 1 0 1 0 1 1 0 0 0
..oo...3..oo...3..oo...&#x | 0 0 1 1 0 0 0 | * * * * * * * 24 * * * * * * * * * | 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 0 0 0 0 0 0 0 | 0 1 0 0 1 0 1 1 0 0 0
..o..o.3..o..o.3..o..o.&#x | 0 0 1 0 0 1 0 | * * * * * * * * 24 * * * * * * * * | 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 1 1 0 0 0
...x... ....... ....... | 0 0 0 2 0 0 0 | * * * * * * * * * 12 * * * * * * * | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 | 0 1 0 1 0 0 0 0 1 0 0
....... ...x... ....... | 0 0 0 2 0 0 0 | * * * * * * * * * * 12 * * * * * * | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 0 0 0 0 0 | 0 1 0 0 0 0 1 0 1 0 0
...oo..3...oo..3...oo..&#x | 0 0 0 1 1 0 0 | * * * * * * * * * * * 24 * * * * * | 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 1 0 0 0 0 | 0 0 0 1 1 0 0 1 1 0 0
...o.o.3...o.o.3...o.o.&#x | 0 0 0 1 0 1 0 | * * * * * * * * * * * * 24 * * * * | 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 1 1 1 0 0
....oo.3....oo.3....oo.&#x | 0 0 0 0 1 1 0 | * * * * * * * * * * * * * 12 * * * | 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 1 2 0 0
....... .....x. ....... | 0 0 0 0 0 2 0 | * * * * * * * * * * * * * * 12 * * | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 1 0 | 0 0 0 0 0 1 1 0 1 1 0
.....oo3.....oo3.....oo&#x | 0 0 0 0 0 1 1 | * * * * * * * * * * * * * * * 12 * | 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 2 1 0
......x ....... ....... | 0 0 0 0 0 0 2 | * * * * * * * * * * * * * * * * 6 | 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 2 0 1
----------------------------+-------------------+--------------------------------------------------+-------------------------------------------------------------+--------------------------
o......3x...... ....... | 3 0 0 0 0 0 0 | 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 4 * * * * * * * * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 0 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 | * 4 * * * * * * * * * * * * * * * * * * * * * | 1 0 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 | * * 6 * * * * * * * * * * * * * * * * * * * * | 0 2 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 | * * * 12 * * * * * * * * * * * * * * * * * * * | 0 1 1 0 0 0 0 0 0 0 0
....... ....... .ox....&#x | 0 1 2 0 0 0 0 | 0 0 0 2 0 0 1 0 0 0 0 0 0 0 0 0 0 | * * * * 12 * * * * * * * * * * * * * * * * * * | 0 0 1 0 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 | * * * * * 12 * * * * * * * * * * * * * * * * * | 0 1 0 1 0 0 0 0 0 0 0
.x..o.. ....... .......&#x | 0 2 0 0 1 0 0 | 0 0 1 0 0 2 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * 6 * * * * * * * * * * * * * * * * | 0 0 0 2 0 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 0 1 0 0 0 0 0 0 0 0 0 | * * * * * * * 24 * * * * * * * * * * * * * * * | 0 1 0 0 1 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 1 1 0 0 0 0 0 1 0 0 0 0 0 | * * * * * * * * 24 * * * * * * * * * * * * * * | 0 0 0 1 1 0 0 0 0 0 0
....... ..o....3..x.... | 0 0 3 0 0 0 0 | 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * 4 * * * * * * * * * * * * * | 0 0 1 0 0 1 0 0 0 0 0
....... ..ox... .......&#x | 0 0 1 2 0 0 0 | 0 0 0 0 0 0 0 2 0 0 1 0 0 0 0 0 0 | * * * * * * * * * * 12 * * * * * * * * * * * * | 0 1 0 0 0 0 1 0 0 0 0
....... ....... ..xfo..&#xt | 0 0 2 2 1 0 0 | 0 0 0 0 0 0 1 2 0 0 0 2 0 0 0 0 0 | * * * * * * * * * * * 12 * * * * * * * * * * * | 0 0 0 0 1 0 0 1 0 0 0
....... ..o..x. .......&#x | 0 0 1 0 0 2 0 | 0 0 0 0 0 0 0 0 2 0 0 0 0 0 1 0 0 | * * * * * * * * * * * * 12 * * * * * * * * * * | 0 0 0 0 0 1 1 0 0 0 0
....... ....... ..x..o.&#x | 0 0 2 0 0 1 0 | 0 0 0 0 0 0 1 0 2 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * 12 * * * * * * * * * | 0 0 0 0 0 1 0 1 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 1 1 0 0 0 1 0 0 0 0 | * * * * * * * * * * * * * * 24 * * * * * * * * | 0 0 0 0 0 0 1 1 0 0 0
...x...3...x... ....... | 0 0 0 6 0 0 0 | 0 0 0 0 0 0 0 0 0 3 3 0 0 0 0 0 0 | * * * * * * * * * * * * * * * 4 * * * * * * * | 0 1 0 0 0 0 0 0 1 0 0
...xo.. ....... .......&#x | 0 0 0 2 1 0 0 | 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 0 | * * * * * * * * * * * * * * * * 12 * * * * * * | 0 0 0 1 0 0 0 0 1 0 0
....... ...x.x. .......&#x | 0 0 0 2 0 2 0 | 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 0 0 | * * * * * * * * * * * * * * * * * 12 * * * * * | 0 0 0 0 0 0 1 0 1 0 0
...ooo.3...ooo.3...ooo.&#x | 0 0 0 1 1 1 0 | 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 | * * * * * * * * * * * * * * * * * * 24 * * * * | 0 0 0 0 0 0 0 1 1 0 0
....ofx ....... .......&#xt | 0 0 0 0 1 2 2 | 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 | * * * * * * * * * * * * * * * * * * * 6 * * * | 0 0 0 0 0 0 0 0 2 0 0
....... .....x.3.....o. | 0 0 0 0 0 3 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 | * * * * * * * * * * * * * * * * * * * * 4 * * | 0 0 0 0 0 1 0 0 0 1 0
....... .....xo .......&#x | 0 0 0 0 0 2 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 | * * * * * * * * * * * * * * * * * * * * * 12 * | 0 0 0 0 0 0 0 0 1 1 0
......x3......o ....... | 0 0 0 0 0 0 3 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 | * * * * * * * * * * * * * * * * * * * * * * 4 | 0 0 0 0 0 0 0 0 1 0 1
----------------------------+-------------------+--------------------------------------------------+-------------------------------------------------------------+--------------------------
o......3x......3o...... ♦ 6 0 0 0 0 0 0 | 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * *
oxFx...3xfox... .......&#xt ♦ 3 6 3 6 0 0 0 | 3 6 3 6 6 0 0 6 0 3 3 0 0 0 0 0 0 | 1 0 3 3 0 3 0 6 0 0 3 0 0 0 0 1 0 0 0 0 0 0 0 | * 4 * * * * * * * * *
....... xfo....3oox....&#xt ♦ 3 3 3 0 0 0 0 | 3 3 0 6 0 0 3 0 0 0 0 0 0 0 0 0 0 | 0 1 0 3 3 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * 4 * * * * * * * *
.x.xo.. ....... .......&#x ♦ 0 2 0 2 1 0 0 | 0 0 1 0 2 2 0 0 0 1 0 2 0 0 0 0 0 | 0 0 0 0 0 1 1 0 2 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | * * * 12 * * * * * * *
....... ....... .oxfo..&#xr ♦ 0 1 2 2 1 0 0 | 0 0 0 2 2 1 1 2 0 0 0 2 0 0 0 0 0 | 0 0 0 0 1 0 0 2 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | * * * * 12 * * * * * *
....... ..o..x.3..x..o.&#x ♦ 0 0 3 0 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 1 0 0 3 3 0 0 0 0 0 0 1 0 0 | * * * * * 4 * * * * *
....... ..ox.x. .......&#x ♦ 0 0 1 2 0 2 0 | 0 0 0 0 0 0 0 2 2 0 1 0 2 0 1 0 0 | 0 0 0 0 0 0 0 0 0 0 1 0 1 0 2 0 0 1 0 0 0 0 0 | * * * * * * 12 * * * *
....... ....... ..xfoo.&#xr ♦ 0 0 2 2 1 1 0 | 0 0 0 0 0 0 1 2 2 0 0 2 2 1 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 0 0 2 0 0 0 0 | * * * * * * * 12 * * *
...xofx3...xFxo .......&#xt ♦ 0 0 0 6 3 6 3 | 0 0 0 0 0 0 0 0 0 3 3 6 6 6 3 6 3 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 6 3 0 3 1 | * * * * * * * * 4 * *
....... .....xo3.....oo&#x ♦ 0 0 0 0 0 3 1 | 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 0 0 0 0 0 0 0 1 3 0 | * * * * * * * * * 4 *
......x3......o3......o ♦ 0 0 0 0 0 0 4 | 0 0 0 0 0 0 0 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 0 0 0 0 4 | * * * * * * * * * * 1
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