U-tiling: UQC1949
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1626 |
*222222 |
(2,6,4) |
{8,6} |
{4.4.3.4.4.3.4.4}{3.4.4.3.4.4} |
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
|
|
sqc3065
|
|
Pmmm |
47 |
orthorhombic |
{5,7} |
6 |
(2,6) |
|
G
|
False
|
|
sqc4065
|
|
I212121 |
24 |
orthorhombic |
{6,8} |
6 |
(2,7) |
|
D
|
False
|
|
sqc582
|
|
P222 |
16 |
orthorhombic |
{6,8} |
3 |
(2,6) |
Topological data
| Vertex degrees | {8,6} |
| 2D vertex symbol | {4.4.3.4.4.3.4.4}{3.4.4.3.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<78.1:88:23 4 5 28 51 52 31 32 22 34 15 16 39 62 63 42 43 26 27 73 74 44 37 38 84 85 67 48 49 72 75 76 66 78 59 60 83 86 87 70 71 88 81 82,2 47 6 7 9 11 13 58 17 18 20 22 24 69 28 29 31 33 35 80 39 40 42 44 46 50 51 53 55 57 61 62 64 66 68 72 73 75 77 79 83 84 86 88,12 3 5 50 8 10 55 14 16 61 19 21 66 34 25 27 72 30 32 77 36 38 83 41 43 88 56 47 49 52 54 58 60 63 65 78 69 71 74 76 80 82 85 87:4 3 4 4 4 3 4 3 3 4 4 4,6 8 8 6 8 8> {(0, 29): 't3*tau1^-1', (0, 51): 't2^-1', (0, 41): 'tau2^-1*t1', (0, 62): 'tau3^-1', (1, 46): 't2^-1', (1, 68): 'tau1*t3^-1', (0, 55): 't1', (2, 21): 't1^-1', (0, 63): 't2^-1*tau1^-1*t3*tau2', (0, 30): 't3', (2, 77): 't1^-1*tau3^-1*t2', (0, 52): 't2^-1*tau1^-1', (0, 42): 'tau2^-1*t1', (2, 55): 'tau3^-1*t2', (0, 39): 't3*tau1^-1*t2^-1*tau3*t1', (0, 60): 't1', (0, 31): 't3', (1, 13): 'tau3', (0, 53): 't2^-1*tau1^-1', (0, 43): 'tau2^-1*t3^-1', (1, 79): 't1^-1*tau3^-1*t2*tau1*t3^-1', (0, 86): 'tau2^-1*t3^-1*tau1*t2', (0, 61): 'tau3^-1', (0, 28): 't3*tau1^-1', (0, 50): 't2^-1', (0, 40): 't3*tau1^-1*t2^-1*tau3*t1', (0, 21): 't1^-1', (0, 87): 'tau2^-1*t3^-1', (2, 60): 't1', }