U-tiling: UQC1963
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1629 |
*222222 |
(2,6,4) |
{8,3} |
{4.4.6.4.4.6.4.4}{6.4.4} |
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
|
|
sqc3490
|
|
Cmma |
67 |
orthorhombic |
{3,7} |
8 |
(2,6) |
|
G
|
False
|
|
sqc4254
|
|
C2/c |
15 |
monoclinic |
{3,8} |
8 |
(2,7) |
|
D
|
False
|
|
sqc578
|
|
Cmmm |
65 |
orthorhombic |
{3,8} |
4 |
(2,6) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {4.4.6.4.4.6.4.4}{6.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<75.2:88:45 4 5 50 18 19 31 32 55 67 15 16 72 42 43 77 78 26 27 83 40 41 88 56 37 38 61 66 48 49 73 74 86 87 59 60 84 85 75 76 70 71 81 82,2 25 6 7 9 11 13 36 17 18 20 22 24 28 29 31 33 35 39 40 42 44 46 80 50 51 53 55 57 69 61 62 64 66 68 72 73 75 77 79 83 84 86 88,23 3 5 61 8 10 66 34 14 16 83 19 21 88 25 27 72 30 32 77 36 38 50 41 43 55 78 47 49 52 54 67 58 60 63 65 69 71 74 76 80 82 85 87:4 6 4 4 4 4 4 4 6 4,3 8 3 8 8 8 3 3> {(2, 27): 't2^-1', (0, 51): 'tau1', (0, 16): 'tau3*t2^-1', (0, 62): 'tau1^-1', (1, 68): 't2*tau3^-1*t1^-1*tau2*t3', (0, 55): 't3^-1*tau2^-1', (0, 22): 'tau3^-1*t2', (2, 10): 't3', (0, 5): 'tau2^-1*t3^-1', (2, 54): 't3', (2, 32): 't2^-1', (2, 21): 't2', (2, 44): 't3*tau2*t1^-1*tau3^-1*t2', (0, 27): 'tau3^-1*t2', (2, 55): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 33): 't1', (2, 22): 't1', (1, 24): 't1', (0, 60): 't3^-1*tau2^-1', (1, 13): 't1^-1', (1, 79): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 38): 't3^-1', (0, 61): 'tau1^-1', (0, 50): 'tau1', (0, 11): 'tau3*t2^-1', (2, 16): 't2', (0, 44): 't3*tau2', (2, 60): 't3^-1', }