U-tiling: UQC3751
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc823 |
*222222 |
(3,4,2) |
{4,4,4} |
{6.10.10.6}{6.10.6.10}{10.10.10.10} |
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
|
|
sqc161
|
|
Pmmm |
47 |
orthorhombic |
{4,4,4} |
4 |
(3,4) |
|
G
|
False
|
|
sqc1966
|
|
C2/c |
15 |
monoclinic |
{4,4,4} |
8 |
(3,5) |
|
D
|
False
|
|
sqc2065
|
|
Imma |
74 |
orthorhombic |
{4,4,4} |
8 |
(3,4) |
Topological data
| Vertex degrees | {4,4,4} |
| 2D vertex symbol | {6.10.10.6}{6.10.6.10}{10.10.10.10} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<23.1:64:9 3 5 7 48 11 13 15 64 25 19 21 23 56 27 29 31 40 49 35 37 39 57 43 45 47 51 53 55 59 61 63,2 19 6 37 8 10 27 14 53 16 18 22 61 24 26 30 45 32 34 59 38 40 42 51 46 48 50 54 56 58 62 64,17 4 5 22 23 40 25 12 13 30 31 56 20 21 64 28 29 48 57 36 37 62 63 49 44 45 54 55 52 53 60 61:6 10 10 6,4 4 4 4 4 4 4 4> {(2, 61): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 56): 'tau1', (2, 63): 't2^-1*tau3', (2, 56): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 63): 't2^-1', (2, 53): 't2*tau3^-1*t1^-1*tau2*t3', (2, 54): 't2*tau3^-1*t1^-1*tau2*t3', (2, 55): 't2*tau3^-1', (2, 48): 't2*tau3^-1*t1^-1*tau2*t3', (0, 55): 't2', (2, 47): 't3^-1*tau2^-1', (0, 47): 't3^-1', (2, 38): 't3*tau2*t1^-1*tau3^-1*t2', (2, 39): 't3*tau2', (0, 39): 't3', (2, 29): 't1', (2, 30): 't1', (2, 24): 't1', (2, 21): 't1', (2, 22): 't1', (2, 16): 't1', (0, 48): 'tau1^-1'}