U-tiling: UQC1277
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1058 |
*222222 |
(2,5,3) |
{6,3} |
{4.8.6.6.8.4}{8.8.6} |
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
|
|
sqc153
|
|
Pmmm |
47 |
orthorhombic |
{5,3} |
4 |
(2,4) |
|
G
|
False
|
|
sqc2637
|
|
I212121 |
24 |
orthorhombic |
{6,3} |
8 |
(2,6) |
|
D
|
False
|
|
sqc318
|
|
P222 |
16 |
orthorhombic |
{6,3} |
4 |
(2,5) |
Topological data
| Vertex degrees | {6,3} |
| 2D vertex symbol | {4.8.6.6.8.4}{8.8.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<33.1:72:19 4 5 15 25 26 45 28 13 14 34 35 54 22 23 33 63 31 32 72 55 40 41 51 61 62 64 49 50 70 71 58 59 69 67 68,2 7 40 6 9 11 16 49 15 18 20 25 58 24 27 29 34 67 33 36 38 43 42 45 47 52 51 54 56 61 60 63 65 70 69 72,10 3 5 42 8 18 12 14 51 17 28 21 23 60 26 36 30 32 69 35 46 39 41 44 54 48 50 53 64 57 59 62 72 66 68 71:6 8 4 6 4 8,6 3 3 6 3 3 6 6> {(0, 51): 't2^-1*tau1^-1*t3*tau2', (1, 48): 't1', (0, 62): 'tau1*t3^-1', (2, 50): 't1', (0, 59): 't3*tau2', (0, 63): 't1^-1', (0, 52): 't2^-1*tau1^-1*t3*tau2', (2, 44): 't2^-1*tau3', (0, 35): 't3*tau1^-1*t2^-1*tau3*t1', (2, 62): 't2^-1*tau3*t1', (0, 16): 't1^-1*tau2', (0, 60): 'tau1*t2', (0, 53): 'tau3^-1', (2, 45): 'tau3^-1*t2', (0, 32): 'tau2^-1*t3^-1', (2, 63): 't1^-1*tau3^-1*t2', (0, 24): 't3', (0, 14): 't1^-1', (0, 61): 'tau1*t2', (0, 33): 'tau2^-1*t1', (0, 44): 't2^-1', (0, 25): 't3', }