U-tiling: UQC715
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc606 |
*222222 |
(2,5,3) |
{4,8} |
{4.8.8.4}{8.4.4.8.8.4.4.8} |
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
|
|
sqc92
|
|
Pmmm |
47 |
orthorhombic |
{8,4} |
3 |
(2,5) |
|
G
|
False
|
|
sqc1672
|
|
C2/c |
15 |
monoclinic |
{4,8} |
6 |
(2,5) |
|
D
|
True
|
|
sqc1380
|
|
Imma |
74 |
orthorhombic |
{4,6} |
6 |
(2,5) |
Topological data
| Vertex degrees | {4,8} |
| 2D vertex symbol | {4.8.8.4}{8.4.4.8.8.4.4.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<12.2:64:33 42 43 5 38 39 24 49 58 59 13 54 55 32 57 50 51 21 62 63 41 34 35 29 46 47 37 64 45 56 53 61,2 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 64,17 3 20 21 7 16 25 11 28 29 15 19 23 32 27 31 57 35 60 61 39 56 49 43 52 53 47 64 51 55 59 63:4 8 4 4 8 4,4 8 4 4 8 4> {(2, 27): 't1', (2, 63): 'tau1', (2, 20): 't1', (2, 56): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 1): 't3', (2, 16): 't1', (0, 34): 't3', (0, 18): 't2^-1', (0, 48): 't2*tau3^-1', (2, 24): 't1', (0, 2): 't3', (0, 56): 't2^-1*tau3', (2, 55): 'tau1^-1', (2, 51): 't2*tau3^-1*t1^-1*tau2*t3', (2, 12): 't1^-1', (0, 32): 't3*tau2', (0, 57): 't2^-1', (0, 10): 't2', (0, 17): 't2^-1', (2, 59): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 52): 't2*tau3^-1*t1^-1*tau2*t3', (0, 40): 't3^-1*tau2^-1', (2, 19): 't1', (0, 33): 't3', (2, 48): 't2*tau3^-1*t1^-1*tau2*t3', (2, 60): 't2^-1*tau3*t1*tau2^-1*t3^-1', }