U-tiling: UQC85
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc12 |
*248 |
(1,1,1) |
{4} |
{8.8.8.8} |
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
|
|
sqc142
|
|
Pmmm |
47 |
orthorhombic |
{4,4,4,4} |
4 |
(4,5) |
|
G
|
False
|
|
sqc2167
|
|
C2/c |
15 |
monoclinic |
{4,4,4,4} |
8 |
(4,5) |
|
D
|
False
|
|
sqc2165
|
|
Imma |
74 |
orthorhombic |
{4,4,4,4} |
8 |
(4,5) |
Topological data
| Vertex degrees | {4,4,4,4} |
| 2D vertex symbol | {8.8.8.8}{8.8.8.8}{8.8.8.8}{8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<2.2:64:17 3 5 7 24 25 11 13 15 32 19 21 23 27 29 31 57 35 37 39 64 49 43 45 47 56 51 53 55 59 61 63,2 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 64,33 42 43 36 37 22 23 16 49 58 59 52 53 30 31 57 50 51 60 61 32 41 34 35 44 45 62 63 56 54 55 64:8 8 8 8,4 4 4 4 4 4 4 4> {(0, 56): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 63): 'tau1', (2, 56): 't2^-1*tau3', (0, 63): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 58): 't2^-1', (0, 48): 't2*tau3^-1*t1^-1*tau2*t3', (2, 55): 'tau1^-1', (2, 48): 't2*tau3^-1', (2, 49): 't2', (2, 50): 't2', (2, 40): 't3^-1*tau2^-1', (0, 47): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 42): 't3^-1', (2, 32): 't3*tau2', (2, 33): 't3', (2, 34): 't3', (2, 57): 't2^-1', (0, 24): 't1', (0, 16): 't1', (0, 23): 't1', (0, 15): 't1^-1', (2, 1): 't3'}