U-tiling: UQC1076
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc992 |
*222222 |
(2,5,3) |
{6,3} |
{4.6.8.8.6.4}{6.8.8} |
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
|
|
sqc138
|
|
Pmmm |
47 |
orthorhombic |
{5,3} |
4 |
(2,4) |
|
G
|
False
|
|
sqc2581
|
|
I212121 |
24 |
orthorhombic |
{3,6} |
8 |
(2,6) |
|
D
|
False
|
|
sqc313
|
|
P222 |
16 |
orthorhombic |
{6,3} |
4 |
(2,5) |
Topological data
| Vertex degrees | {6,3} |
| 2D vertex symbol | {4.6.8.8.6.4}{6.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<27.1:72:19 4 5 42 43 44 27 28 13 14 51 52 53 36 22 23 60 61 62 31 32 69 70 71 55 40 41 63 64 49 50 72 58 59 67 68,2 12 6 7 9 11 15 16 18 20 30 24 25 27 29 33 34 36 38 48 42 43 45 47 51 52 54 56 66 60 61 63 65 69 70 72,10 3 5 15 8 18 12 14 17 28 21 23 33 26 36 30 32 35 46 39 41 51 44 54 48 50 53 64 57 59 69 62 72 66 68 71:8 6 4 8 4 6,3 6 3 6 3 6 3 6> {(2, 14): 't1^-1', (0, 62): 'tau1*t2', (0, 34): 't3*tau1^-1*t2^-1*tau3*t1', (0, 26): 't3', (2, 32): 'tau2^-1*t3^-1', (0, 63): 't1^-1', (0, 52): 'tau3^-1', (0, 42): 't2^-1', (2, 17): 't1^-1', (2, 62): 't3*tau2', (0, 60): 'tau1*t3^-1', (0, 43): 't2^-1', (0, 53): 't2^-1*tau1^-1*t3*tau2', (2, 45): 'tau3^-1*t2', (0, 61): 'tau1*t3^-1', (2, 63): 't1^-1*tau3^-1*t2', (0, 17): 't1^-1*tau2', (2, 59): 't3*tau2', (0, 50): 't1', (0, 33): 't3*tau1^-1*t2^-1*tau3*t1', (1, 47): 'tau3^-1*t2', (0, 15): 'tau3', (2, 35): 'tau2^-1*t3^-1', (1, 65): 't1^-1*tau3^-1*t2', }