U-tiling: UQC98
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc76 |
*4444 |
(2,2,2) |
{12,4} |
{4.12.12.4.12.12.4.12.12.4.12.12... |
s-nets
3 records listed.
| Surface |
Edge collapse |
Image |
s-net name |
Other names |
Space group |
Space group number |
Symmetry class |
Vertex degree(s) |
Vertices per primitive unit cell |
Transitivity (Vertex, Edge) |
|
P
|
True
|
|
sqc1
|
pcu
|
Pm-3m |
221 |
cubic |
{6} |
1 |
(1,1) |
|
G
|
False
|
|
sqc95
|
|
I-4m2 |
119 |
tetragonal |
{12,4} |
2 |
(2,2) |
|
D
|
False
|
|
sqc94
|
|
I4/mmm |
139 |
tetragonal |
{12,4} |
2 |
(2,2) |
Topological data
| Vertex degrees | {12,4} |
| 2D vertex symbol | {4.12.12.4.12.12.4.12.12.4.12.12}{12.12.12.12} |
| Dual tiling | (self dual) |
D-symbol
Genus-3 version with t-tau cuts labelled
<1.1:32:5 6 4 8 17 18 12 21 22 16 20 24 29 30 28 32,9 3 12 13 7 16 11 15 25 19 28 29 23 32 27 31,2 27 28 6 31 32 10 15 16 14 18 23 24 22 26 30:4 12,12 4> {(1, 24): 'tau1^-1', (2, 30): 't3^-1*tau2^-1*t1', (2, 31): 't3^-1*tau2^-1*t1', (1, 28): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (1, 31): 't3^-1*tau2^-1*t3^-1', (1, 27): 't3^-1', (0, 20): 't3*tau2*t1^-1', (0, 21): 't3*tau2*t1^-1', (1, 8): 't2^-1', (1, 12): 'tau3^-1', (1, 15): 't1'}