U-tiling: UQC1756
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1310 |
*222222 |
(2,5,4) |
{14,3} |
{4.4.4.4.4.4.4.4.4.4.4.4.4.4}{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
|
|
sqc50
|
|
Pmmm |
47 |
orthorhombic |
{3,8} |
3 |
(2,4) |
|
G
|
False
|
|
sqc3111
|
|
C2/c |
15 |
monoclinic |
{3,14} |
6 |
(2,6) |
|
D
|
True
|
|
sqc1615
|
|
Imma |
74 |
orthorhombic |
{3,10} |
6 |
(2,5) |
Topological data
| Vertex degrees | {14,3} |
| 2D vertex symbol | {4.4.4.4.4.4.4.4.4.4.4.4.4.4}{4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<62.1:80:21 4 5 26 27 48 49 60 31 14 15 36 37 68 69 80 24 25 78 79 70 34 35 58 59 50 71 44 45 76 77 61 54 55 66 67 64 65 74 75,2 13 6 25 8 10 12 16 35 18 20 22 33 26 28 30 32 36 38 40 42 63 46 75 48 50 52 73 56 65 58 60 62 66 68 70 72 76 78 80,11 3 5 7 9 50 13 15 17 19 70 31 23 25 27 29 80 33 35 37 39 60 61 43 45 47 49 71 53 55 57 59 63 65 67 69 73 75 77 79:4 4 4 4 4 4 4 4 4 4,3 14 14 3 3 3> {(0, 29): 't2^-1', (0, 18): 'tau3*t2^-1', (0, 55): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 45): 't3*tau2*t1^-1*tau3^-1*t2', (0, 5): 't1^-1', (0, 59): 't3^-1', (0, 26): 't1', (0, 48): 't3*tau2', (0, 38): 'tau2*t3', (0, 19): 't2', (0, 30): 't1', (2, 50): 'tau1^-1', (1, 72): 'tau1', (0, 35): 't1', (0, 56): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 46): 't3*tau2*t1^-1*tau3^-1*t2', (0, 27): 'tau3^-1*t2', (0, 49): 't3', (0, 60): 't2*tau3^-1*t1^-1*tau2*t3', (0, 20): 't1', (0, 57): 't3^-1*tau2^-1', (0, 47): 't3*tau2', (1, 62): 'tau1^-1', (0, 36): 't1', (0, 17): 'tau3*t2^-1', (0, 28): 'tau3^-1*t2', (0, 40): 't3*tau2*t1^-1*tau3^-1*t2', (2, 60): 'tau1^-1', }