U-tiling: UQC1586
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
|
False
|
|
sqc365
|
|
Pmmm |
47 |
orthorhombic |
{4,8} |
3 |
(2,6) |
|
G
|
False
|
|
sqc3283
|
|
C2/c |
15 |
monoclinic |
{4,8} |
6 |
(2,6) |
|
D
|
True
|
|
sqc231
|
|
Cmmm |
65 |
orthorhombic |
{7,4} |
3 |
(2,5) |
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 58 59 50 31 13 34 35 66 67 78 79 70 23 76 77 68 69 80 33 56 57 48 49 60 71 43 74 75 61 53 64 65 63 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 22 23 5 7 9 30 32 33 15 17 19 40 31 25 27 29 35 37 39 61 72 73 45 47 49 80 71 62 63 55 57 59 70 65 67 69 75 77 79:4 4 4 4 4 4 4 4 4 4,4 8 8 4 8 8> {(0, 18): 't2', (0, 8): 't3', (0, 55): 't3^-1*tau2^-1', (0, 45): 't3*tau2', (0, 34): 't1', (0, 26): 'tau3^-1*t2', (0, 48): 't3', (0, 63): 't2*tau3^-1*t1^-1*tau2*t3', (0, 30): 't1', (2, 50): 'tau1^-1', (0, 23): 't1', (0, 56): 't3^-1*tau2^-1', (0, 27): 't2^-1', (0, 16): 'tau3*t2^-1', (0, 6): 'tau2^-1*t3^-1', (0, 60): 't2*tau3^-1*t1^-1*tau2*t3', (0, 43): 't3*tau2*t1^-1*tau3^-1*t2', (0, 20): 't1', (0, 57): 't3^-1', (0, 47): 't3', (0, 24): 't1', (0, 17): 't2', (0, 28): 't2^-1', (0, 40): 't3*tau2*t1^-1*tau3^-1*t2', (0, 33): 't1', (0, 54): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 44): 't3*tau2*t1^-1*tau3^-1*t2', (0, 25): 'tau3^-1*t2', (0, 15): 'tau3*t2^-1', (2, 60): 'tau1^-1', }