| Acronym | pextah |
| Name | partially (mono-)expanded tesseractihexadecachoron |
|
Lace city in approx. ASCII-art |
x4o u4o x4q x4q u4o x4o
u4o o4Q o4Q u4o
Q=2q
x4q o4Q o4Q x4q
u4o o4Q o4Q u4o
x4o u4o x4q x4q u4o x4o
|
| Face vector | 120, 240, 152, 32 |
| Confer |
The non-regular hexagons {(h,H,H)2} are diagonally elongated squares. Its vertex angles are h = 90° resp. H = 135°.
Incidence matrix according to Dynkin symbol
xoooox3xuxxux4ooqqoo&#xt → all but medial heights = 1/sqrt(2) = 0.707107
medial height = 1
(toe || pseudo u-co || pseudo (x,q)-tic || pseudo (x,q)-tic || pseudo u-co || toe)
o.....3o.....4o..... & | 48 * * | 1 2 1 0 0 0 | 2 1 1 2 0 0 0 | 1 2 1 0
.o....3.o....4.o.... & | * 24 * | 0 0 2 2 0 0 | 0 0 1 4 1 0 0 | 0 2 2 0
..o...3..o...4..o... & | * * 48 | 0 0 0 1 2 1 | 0 0 0 2 1 1 2 | 0 1 2 1
---------------------------+----------+-------------------+----------------------+---------
x..... ...... ...... & | 2 0 0 | 24 * * * * * | 2 0 1 0 0 0 0 | 1 2 0 0
...... x..... ...... & | 2 0 0 | * 48 * * * * | 1 1 0 1 0 0 0 | 1 1 1 0
oo....3oo....4oo....&#x & | 1 1 0 | * * 48 * * * | 0 0 1 2 0 0 0 | 0 2 1 0
.oo...3.oo...4.oo...&#x & | 0 1 1 | * * * 48 * * | 0 0 0 2 1 0 0 | 0 1 2 0
...... ..x... ...... & | 0 0 2 | * * * * 48 * | 0 0 0 1 0 1 1 | 0 1 1 1
..oo..3..oo..4..oo..&#x | 0 0 2 | * * * * * 24 | 0 0 0 0 1 0 2 | 0 0 2 1
---------------------------+----------+-------------------+----------------------+---------
x.....3x..... ...... & | 6 0 0 | 3 3 0 0 0 0 | 16 * * * * * * | 1 1 0 0
...... x.....4o..... & | 4 0 0 | 0 4 0 0 0 0 | * 12 * * * * * | 1 0 1 0
xo.... ...... ......&#x & | 2 1 0 | 1 0 2 0 0 0 | * * 24 * * * * | 0 2 0 0
...... xux... ......&#xt & | 2 2 2 | 0 1 2 2 1 0 | * * * 48 * * * | 0 1 1 0
...... ...... .oqqo.&#xt | 0 2 4 | 0 0 0 4 0 2 | * * * * 12 * * | 0 0 2 0 {(h,H,H)2}
..o...3..x... ...... & | 0 0 3 | 0 0 0 0 3 0 | * * * * * 16 * | 0 1 0 1
...... ..xx.. ......&#x | 0 0 4 | 0 0 0 0 2 2 | * * * * * * 24 | 0 0 1 1
---------------------------+----------+-------------------+----------------------+---------
x.....3x.....4o..... & ♦ 24 0 0 | 12 24 0 0 0 0 | 8 6 0 0 0 0 0 | 2 * * *
xoo...3xux... ......&#xt & ♦ 6 3 3 | 3 3 6 3 3 0 | 1 0 3 3 0 1 0 | * 16 * *
...... xuxxux4ooqqoo&#xt ♦ 8 8 16 | 0 8 8 16 8 8 | 0 2 0 8 4 0 4 | * * 6 *
..xx..3..oo.. ......&#x ♦ 0 0 6 | 0 0 0 0 6 3 | 0 0 0 0 0 2 3 | * * * 8
xoo3xux4ooq Xwx&#zxt → heights = 0, X=Q+x=w+q = 3.828427
(tegum sum of (x,x,X)-tope, (u,w)-cope, and (x,q,x)-ticcup)
o..3o..4o.. o.. | 48 * * | 1 2 1 0 0 0 | 2 1 1 2 0 0 0 | 1 2 1 0
.o.3.o.4.o. .o. | * 24 * | 0 0 2 2 0 0 | 0 0 1 4 1 0 0 | 0 2 2 0
..o3..o4..o ..o | * * 48 | 0 0 0 1 2 1 | 0 0 0 2 1 1 2 | 0 1 2 1
---------------------+----------+-------------------+----------------------+---------
x.. ... ... ... | 2 0 0 | 24 * * * * * | 2 0 1 0 0 0 0 | 1 2 0 0
... x.. ... ... | 2 0 0 | * 48 * * * * | 1 1 0 1 0 0 0 | 1 1 1 0
oo.3oo.4oo. oo.&#x | 1 1 0 | * * 48 * * * | 0 0 1 2 0 0 0 | 0 2 1 0
.oo3.oo4.oo .oo&#x | 0 1 1 | * * * 48 * * | 0 0 0 2 1 0 0 | 0 1 2 0
... ..x ... ... | 0 0 2 | * * * * 48 * | 0 0 0 1 0 1 1 | 0 1 1 1
... ... ... ..x | 0 0 2 | * * * * * 24 | 0 0 0 0 1 0 2 | 0 0 2 1
---------------------+----------+-------------------+----------------------+---------
x..3x.. ... ... | 6 0 0 | 3 3 0 0 0 0 | 16 * * * * * * | 1 1 0 0
... x..4o.. ... | 4 0 0 | 0 4 0 0 0 0 | * 12 * * * * * | 1 0 1 0
xo. ... ... ...&#x | 2 1 0 | 1 0 2 0 0 0 | * * 24 * * * * | 0 2 0 0
... xux ... ...&#xt | 2 2 2 | 0 1 2 2 1 0 | * * * 48 * * * | 0 1 1 0
... ... .oq .wx&#zx | 0 2 4 | 0 0 0 4 0 2 | * * * * 12 * * | 0 0 2 0 {(h,H,H)2}
..o3..x ... ... | 0 0 3 | 0 0 0 0 3 0 | * * * * * 16 * | 0 1 0 1
... ..x ... ..x | 0 0 4 | 0 0 0 0 2 2 | * * * * * * 24 | 0 0 1 1
---------------------+----------+-------------------+----------------------+---------
x..3x..4o.. ... ♦ 24 0 0 | 12 24 0 0 0 0 | 8 6 0 0 0 0 0 | 2 * * *
xoo3xux ... ...&#xt ♦ 6 3 3 | 3 3 6 3 3 0 | 1 0 3 3 0 1 0 | * 16 * *
... xux4ooq Xwx&#zxt ♦ 8 8 16 | 0 8 8 16 8 8 | 0 2 0 8 4 0 4 | * * 6 *
..x3..o ... ..x ♦ 0 0 6 | 0 0 0 0 6 3 | 0 0 0 0 0 2 3 | * * * 8
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