U-tiling: UQC44
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc7 |
*24(12) |
(1,1,1) |
{12} |
{4.4.4.4.4.4.4.4.4.4.4.4} |
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
|
|
sqc7
|
|
P4/mmm |
123 |
tetragonal |
{10} |
1 |
(1,3) |
|
G
|
True
|
|
sqc117
|
|
C2/c |
15 |
monoclinic |
{8} |
2 |
(1,3) |
|
D
|
True
|
|
sqc4
|
hex
|
P6/mmm |
191 |
hexagonal |
{8} |
1 |
(1,2) |
Topological data
| Vertex degrees | {12} |
| 2D vertex symbol | {4.4.4.4.4.4.4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<1.1:48:13 26 27 34 35 30 19 38 39 46 47 42 44 45 40 41 48 32 33 28 29 36 43 37,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48,7 3 5 18 9 11 24 19 15 17 21 23 37 27 29 48 43 33 35 42 39 41 45 47:4 4 4 4 4 4,12 12> {(0, 18): 't1', (0, 45): 't2^-1', (0, 12): 't1', (2, 36): 'tau1^-1', (0, 26): 't3*tau2', (0, 38): 't2*tau3^-1', (0, 42): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 46): 't2^-1', (0, 27): 't3', (0, 39): 't2', (0, 31): 't3^-1*tau2^-1', (0, 43): 't2^-1*tau3', (0, 32): 't3^-1*tau2^-1', (2, 30): 'tau1^-1', (0, 36): 't2*tau3^-1*t1^-1*tau2*t3', (0, 28): 't3', (0, 40): 't2', (0, 33): 't3^-1', (0, 44): 't2^-1*tau3', (0, 25): 't3*tau2', (0, 37): 't2*tau3^-1', (0, 4): 't3', }