U-tiling: UQC1587
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1260 |
*222222 |
(2,6,4) |
{8,4} |
{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
|
|
sqc1489
|
|
Pmmm |
47 |
orthorhombic |
{3,6} |
6 |
(2,6) |
|
G
|
False
|
|
sqc3671
|
|
I212121 |
24 |
orthorhombic |
{4,8} |
6 |
(2,6) |
|
D
|
False
|
|
sqc377
|
|
P222 |
16 |
orthorhombic |
{4,8} |
3 |
(2,6) |
Topological data
| Vertex degrees | {8,4} |
| 2D vertex symbol | {4.4.4.4.4.4.4.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<47.1:80:21 3 24 25 46 47 18 19 30 31 13 34 35 56 57 40 23 66 67 38 39 33 76 77 61 43 64 65 58 59 70 71 53 74 75 80 63 78 79 73,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80,11 42 43 5 7 9 50 52 53 15 17 19 60 31 62 63 25 27 29 70 72 73 35 37 39 80 51 45 47 49 55 57 59 71 65 67 69 75 77 79:4 4 4 4 4 4 4 4 4 4,4 8 8 4 8 8> {(0, 29): 't3', (0, 18): 't1^-1', (0, 55): 't1', (0, 78): 'tau2^-1*t3^-1', (0, 59): 't2^-1*tau1^-1*t3*tau2', (2, 32): 't3*tau1^-1*t2^-1*tau3*t1', (0, 19): 't1^-1*tau2', (2, 61): 'tau1*t3^-1', (2, 50): 'tau3^-1*t2', (2, 11): 'tau3', (2, 62): 'tau1*t3^-1', (2, 29): 't3*tau1^-1', (0, 49): 't2^-1*tau1^-1', (0, 16): 't1^-1', (0, 53): 't1', (2, 12): 'tau3', (0, 38): 'tau2^-1*t3^-1', (2, 41): 't2^-1', (0, 17): 't1^-1', (2, 49): 't2^-1', (2, 59): 'tau3^-1', (0, 50): 't1', (2, 39): 't3*tau1^-1*t2^-1*tau3*t1', (0, 77): 'tau2^-1*t3^-1', (0, 54): 't1', (2, 31): 't3*tau1^-1*t2^-1*tau3*t1', (0, 37): 'tau2^-1*t3^-1', (2, 2): 't2', (2, 60): 't2^-1*tau3*t1', }