| Acronym | pac grit |
| Name | partially (mono-)contracted great rhombated tesseract |
|
Lace city in approx. ASCII-art |
x4x u4x x4w x4w u4x x4x
u4x o4X o4X u4x
X=x+2q=w+q
x4w o4X o4X x4w
u4x o4X o4X u4x
x4x u4x x4w x4w u4x x4x
|
| Face vector | 168, 336, 216, 48 |
| 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
xooox3xuxux4xxwxx&#xt → all but central heights = 1/sqrt(2) = 0.707107
central height = 1
(girco || pseudo (u,x)-tic || pseudo (x,w)-tic || pseudo (u,x)-tic || girco)
o....3o....4o.... & | 96 * * | 1 1 1 1 0 0 0 | 1 1 1 1 1 1 0 0 | 1 1 1 1
.o...3.o...4.o... & | * 48 * | 0 0 0 2 1 1 0 | 0 0 0 1 2 2 1 0 | 0 1 1 2
..o..3..o..4..o.. | * * 24 | 0 0 0 0 0 2 2 | 0 0 0 0 4 0 1 1 | 0 2 0 2
------------------------+----------+----------------------+------------------------+----------
x.... ..... ..... & | 2 0 0 | 48 * * * * * * | 1 1 0 1 0 0 0 0 | 1 1 1 0
..... x.... ..... & | 2 0 0 | * 48 * * * * * | 1 0 1 0 1 0 0 0 | 1 1 0 1
..... ..... x.... & | 2 0 0 | * * 48 * * * * | 0 1 1 0 0 1 0 0 | 1 0 1 1
oo...3oo...4oo...&#x & | 1 1 0 | * * * 96 * * * | 0 0 0 1 1 1 0 0 | 0 1 1 1
..... ..... .x... & | 0 2 0 | * * * * 24 * * | 0 0 0 0 0 2 1 0 | 0 0 1 2
.oo..3.oo..4.oo..&#x & | 0 1 1 | * * * * * 48 * | 0 0 0 0 2 0 1 0 | 0 1 0 2
..... ..x.. ..... | 0 0 2 | * * * * * * 24 | 0 0 0 0 2 0 0 1 | 0 2 0 1
------------------------+----------+----------------------+------------------------+----------
x....3x.... ..... & | 6 0 0 | 3 3 0 0 0 0 0 | 16 * * * * * * * | 1 1 0 0
x.... ..... x.... & | 4 0 0 | 2 0 2 0 0 0 0 | * 24 * * * * * * | 1 0 1 0
..... x....4x.... & | 8 0 0 | 0 4 4 0 0 0 0 | * * 12 * * * * * | 1 0 0 1
xo... ..... .....&#x & | 2 1 0 | 1 0 0 2 0 0 0 | * * * 48 * * * * | 0 1 1 0
..... xux.. .....&#xt & | 2 2 2 | 0 1 0 2 0 2 1 | * * * * 48 * * * | 0 1 0 1
..... ..... xx...&#x & | 2 2 0 | 0 0 1 2 1 0 0 | * * * * * 48 * * | 0 0 1 1
..... ..... .xwx.&#xt | 0 4 2 | 0 0 0 0 2 4 0 | * * * * * * 12 * | 0 0 0 2 {(h,H,H)2}
..o..3..x.. ..... | 0 0 3 | 0 0 0 0 0 0 3 | * * * * * * * 8 | 0 2 0 0
------------------------+----------+----------------------+------------------------+----------
x....3x....4x.... & ♦ 48 0 0 | 24 24 24 0 0 0 0 | 8 12 6 0 0 0 0 0 | 2 * * *
xoo..3xux.. .....&#xt & ♦ 6 3 3 | 3 3 0 6 0 3 3 | 1 0 0 3 3 0 0 1 | * 16 * *
xo... ..... xx...&#x & ♦ 4 2 0 | 2 0 2 4 1 0 0 | 0 1 0 2 0 2 0 0 | * * 24 *
..... xuxux4xxwxx&#xt ♦ 16 16 8 | 0 8 8 16 8 16 4 | 0 0 2 0 8 8 4 0 | * * * 6
xoo3xux4xxw Qqo&#zxt → heights = 0, Q=2q = 2.828427
(tegum sum of (x,x,x,Q)-gircope, (u,x,q)-ticcup, and (x,w)-tic)
o..3o..4o.. o.. | 96 * * | 1 1 1 1 0 0 0 | 1 1 1 1 1 1 0 0 | 1 1 1 1
.o.3.o.4.o. .o. | * 48 * | 0 0 0 2 1 1 0 | 0 0 0 1 2 2 1 0 | 0 1 1 2
..o3..o4..o ..o | * * 24 | 0 0 0 0 0 2 2 | 0 0 0 0 4 0 1 1 | 0 2 0 2
---------------------+----------+----------------------+------------------------+----------
x.. ... ... ... | 2 0 0 | 48 * * * * * * | 1 1 0 1 0 0 0 0 | 1 1 1 0
... x.. ... ... | 2 0 0 | * 48 * * * * * | 1 0 1 0 1 0 0 0 | 1 1 0 1
... ... x.. ... | 2 0 0 | * * 48 * * * * | 0 1 1 0 0 1 0 0 | 1 0 1 1
oo.3oo.4oo. oo.&#x | 1 1 0 | * * * 96 * * * | 0 0 0 1 1 1 0 0 | 0 1 1 1
... ... .x. ... | 0 2 0 | * * * * 24 * * | 0 0 0 0 0 2 1 0 | 0 0 1 2
.oo3.oo4.oo .oo&#x | 0 1 1 | * * * * * 48 * | 0 0 0 0 2 0 1 0 | 0 1 0 2
... ..x ... ... | 0 0 2 | * * * * * * 24 | 0 0 0 0 2 0 0 1 | 0 2 0 1
---------------------+----------+----------------------+------------------------+----------
x..3x.. ... ... | 6 0 0 | 3 3 0 0 0 0 0 | 16 * * * * * * * | 1 1 0 0
x.. ... x.. ... | 4 0 0 | 2 0 2 0 0 0 0 | * 24 * * * * * * | 1 0 1 0
... x..4x.. ... | 8 0 0 | 0 4 4 0 0 0 0 | * * 12 * * * * * | 1 0 0 1
xo. ... ... ...&#x | 2 1 0 | 1 0 0 2 0 0 0 | * * * 48 * * * * | 0 1 1 0
... xux ... ...&#xt | 2 2 2 | 0 1 0 2 0 2 1 | * * * * 48 * * * | 0 1 0 1
... ... xx. ...&#x | 2 2 0 | 0 0 1 2 1 0 0 | * * * * * 48 * * | 0 0 1 1
... ... .xw .qo&#zx | 0 4 2 | 0 0 0 0 2 4 0 | * * * * * * 12 * | 0 0 0 2 {(h,H,H)2}
..o3..x ... ... | 0 0 3 | 0 0 0 0 0 0 3 | * * * * * * * 8 | 0 2 0 0
---------------------+----------+----------------------+------------------------+----------
x..3x..4x.. ... ♦ 48 0 0 | 24 24 24 0 0 0 0 | 8 12 6 0 0 0 0 0 | 2 * * *
xoo3xux ... ...&#xt ♦ 6 3 3 | 3 3 0 6 0 3 3 | 1 0 0 3 3 0 0 1 | * 16 * *
xo. ... xx. ...&#x ♦ 4 2 0 | 2 0 2 4 1 0 0 | 0 1 0 2 0 2 0 0 | * * 24 *
... xux4xxw Qqo&#zxt ♦ 16 16 8 | 0 8 8 16 8 16 4 | 0 0 2 0 8 8 4 0 | * * * 6
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