U-tiling: UQC1829
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1348 |
*222222 |
(2,5,4) |
{8,4} |
{4.3.6.4.4.6.3.4}{3.6.3.6} |
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
|
|
sqc123
|
|
Pmmm |
47 |
orthorhombic |
{4,6} |
3 |
(2,4) |
|
G
|
False
|
|
sqc3508
|
|
I212121 |
24 |
orthorhombic |
{8,4} |
6 |
(2,6) |
|
D
|
False
|
|
sqc488
|
|
P222 |
16 |
orthorhombic |
{4,8} |
3 |
(2,5) |
Topological data
| Vertex degrees | {8,4} |
| 2D vertex symbol | {4.3.6.4.4.6.3.4}{3.6.3.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<73.1:80:21 42 43 6 7 28 29 50 31 52 53 16 17 38 39 60 62 63 26 27 70 72 73 36 37 80 61 46 47 68 69 71 56 57 78 79 66 67 76 77,2 4 8 46 17 10 12 14 18 56 20 22 24 28 66 37 30 32 34 38 76 40 42 44 48 57 50 52 54 58 60 62 64 68 77 70 72 74 78 80,11 3 5 7 9 20 13 15 17 19 31 23 25 27 29 40 33 35 37 39 51 43 45 47 49 60 53 55 57 59 71 63 65 67 69 80 73 75 77 79:4 3 6 4 4 3 4 3 3 6,8 4 8 4 8 8> {(0, 29): 't3*tau1^-1', (0, 51): 't1', (1, 26): 't3*tau2', (0, 12): 't1^-1', (0, 59): 'tau3^-1', (0, 48): 't2^-1*tau1^-1', (0, 38): 'tau2^-1*t1', (1, 76): 'tau2^-1*t3^-1', (1, 55): 't1', (1, 16): 't1^-1', (2, 50): 'tau3^-1*t2', (0, 27): 't3', (0, 49): 't2^-1', (0, 39): 't3*tau1^-1*t2^-1*tau3*t1', (0, 57): 't2^-1*tau1^-1*t3*tau2', (0, 47): 't2^-1*tau1^-1', (2, 59): 'tau3^-1*t2', (0, 28): 't3', (2, 79): 't1^-1*tau3^-1*t2', (0, 50): 't1', (0, 37): 'tau2^-1*t1', (0, 58): 't2^-1*tau1^-1*t3*tau2', (2, 60): 't2^-1*tau3*t1', }