U-tiling: UQC1812
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1347 |
*222222 |
(2,5,4) |
{10,5} |
{4.3.6.3.4.4.3.6.3.4}{3.6.4.4.6} |
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
|
|
sqc1499
|
|
Pmmm |
47 |
orthorhombic |
{4,7} |
6 |
(2,5) |
|
G
|
False
|
|
sqc3127
|
|
I212121 |
24 |
orthorhombic |
{5,10} |
6 |
(2,6) |
|
D
|
False
|
|
sqc342
|
|
P222 |
16 |
orthorhombic |
{10,5} |
3 |
(2,5) |
Topological data
| Vertex degrees | {10,5} |
| 2D vertex symbol | {4.3.6.3.4.4.3.6.3.4}{3.6.4.4.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<66.1:80:21 42 43 6 7 18 19 50 31 52 53 16 17 60 62 63 26 27 38 39 70 72 73 36 37 80 61 46 47 58 59 71 56 57 66 67 78 79 76 77,2 4 15 16 8 10 12 14 18 20 22 24 35 36 28 30 32 34 38 40 42 44 55 56 48 50 52 54 58 60 62 64 75 76 68 70 72 74 78 80,11 3 5 7 9 30 13 15 17 19 40 31 23 25 27 29 33 35 37 39 51 43 45 47 49 70 53 55 57 59 80 71 63 65 67 69 73 75 77 79:4 6 3 4 4 6 3 4 3 3,5 10 5 5 10 5> {(0, 29): 't3*tau1^-1', (0, 51): 't1', (2, 49): 't2^-1*tau1^-1', (0, 12): 't1^-1', (1, 64): 't2^-1*tau3*t1', (0, 78): 't1^-1*tau3^-1*t2', (0, 59): 'tau3^-1', (2, 50): 'tau3^-1*t2', (1, 5): 't1', (2, 29): 't3', (0, 49): 't2^-1', (0, 39): 't3*tau1^-1*t2^-1*tau3*t1', (1, 54): 'tau3^-1*t2', (0, 57): 'tau3^-1*t2', (1, 75): 'tau2^-1*t3^-1', (2, 59): 't2^-1*tau1^-1*t3*tau2', (1, 35): 'tau2^-1*t3^-1', (0, 50): 't1', (2, 39): 'tau2^-1*t1', (0, 77): 't1^-1*tau3^-1*t2', (0, 58): 'tau3^-1*t2', (2, 60): 't2^-1*tau3*t1', }