U-tiling: UQC1588
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1260 |
*222222 |
(2,6,4) |
{8,4} |
{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
|
|
sqc2616
|
|
Cmma |
67 |
orthorhombic |
{4,7} |
6 |
(2,6) |
|
G
|
False
|
|
sqc3346
|
|
C2/c |
15 |
monoclinic |
{4,8} |
6 |
(2,6) |
|
D
|
True
|
|
sqc121
|
|
Cmmm |
65 |
orthorhombic |
{6,4} |
3 |
(2,5) |
Topological data
| Vertex degrees | {8,4} |
| 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
<47.2:80:41 3 44 45 56 57 48 49 30 61 13 64 65 76 77 68 69 40 71 23 74 75 66 67 78 79 51 33 54 55 46 47 58 59 43 80 53 70 63 73,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80,21 12 13 5 7 9 20 31 15 17 19 32 33 25 27 29 40 35 37 39 71 62 63 45 47 49 70 61 72 73 55 57 59 80 65 67 69 75 77 79:4 4 4 4 4 4 4 4 4 4,4 8 8 4 8 8> {(2, 20): 't1', (2, 49): 'tau1', (0, 45): 't3', (2, 10): 't1^-1', (0, 5): 't3', (2, 61): 'tau1^-1', (0, 26): 't2^-1', (0, 63): 't2*tau3^-1', (0, 30): 'tau2*t3', (0, 23): 'tau3^-1*t2', (0, 56): 't3^-1', (2, 40): 't3*tau2*t1^-1*tau3^-1*t2', (0, 16): 't2', (0, 60): 't2*tau3^-1', (2, 51): 'tau1^-1', (0, 43): 't3*tau2', (0, 20): 'tau3^-1*t2', (2, 62): 'tau1^-1', (0, 24): 'tau3^-1*t2', (0, 14): 'tau3*t2^-1', (0, 36): 't3^-1', (2, 59): 'tau1^-1', (2, 52): 'tau1^-1', (0, 40): 't3*tau2', (0, 33): 'tau2*t3', (0, 54): 't3^-1*tau2^-1', (0, 25): 't2^-1', (0, 15): 't2', (0, 4): 'tau2^-1*t3^-1', (2, 60): 't2*tau3^-1*t1^-1*tau2*t3', }