U-tiling: UQC2119
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1693 |
*222222 |
(2,6,4) |
{6,5} |
{4.3.8.8.3.4}{3.8.4.4.8} |
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
|
False
|
|
sqc615
|
|
Pmmm |
47 |
orthorhombic |
{5,6} |
4 |
(2,6) |
|
G
|
False
|
|
sqc4108
|
|
C2/c |
15 |
monoclinic |
{5,6} |
8 |
(2,7) |
|
D
|
False
|
|
sqc4106
|
|
Imma |
74 |
orthorhombic |
{5,6} |
8 |
(2,6) |
Topological data
| Vertex degrees | {6,5} |
| 2D vertex symbol | {4.3.8.8.3.4}{3.8.4.4.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<88.2:88:45 57 58 6 7 52 31 32 22 67 79 80 17 18 74 42 43 78 68 69 28 29 85 44 56 46 47 39 40 63 50 51 86 87 77 61 62 75 76 88 72 73 83 84,2 4 27 8 9 11 13 15 38 19 20 22 24 26 30 31 33 35 37 41 42 44 46 48 82 52 53 55 57 59 71 63 64 66 68 70 74 75 77 79 81 85 86 88,23 3 5 7 30 10 33 34 14 16 18 41 21 44 25 27 29 32 36 38 40 43 78 47 49 51 85 54 88 67 58 60 62 74 65 77 69 71 73 76 80 82 84 87:4 8 3 4 4 8 3 3 4 3,5 6 5 6 5 6 5 6> {(0, 41): 't1', (1, 26): 't1', (1, 48): 't3*tau2*t1^-1*tau3^-1*t2', (0, 55): 't3^-1*tau2^-1', (1, 37): 't1', (0, 45): 't3', (0, 22): 'tau3^-1*t2', (0, 12): 't2', (0, 42): 't1', (0, 63): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 30): 't1', (0, 75): 't2*tau3^-1*t1^-1*tau2*t3', (0, 52): 't3*tau2*t1^-1*tau3^-1*t2', (2, 44): 't3*tau2*t1^-1*tau3^-1*t2', (0, 23): 't2^-1', (0, 13): 't2', (0, 2): 't3', (0, 56): 't3^-1', (0, 46): 't3', (2, 55): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 33): 't1', (2, 22): 't1', (0, 31): 't1', (0, 53): 't3*tau2*t1^-1*tau3^-1*t2', (1, 70): 't2*tau3^-1*t1^-1*tau2*t3', (0, 24): 't2^-1', (0, 11): 'tau3*t2^-1', (0, 87): 'tau1', (0, 54): 'tau1', (0, 44): 't3*tau2', }