U-tiling: UQC870
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc646 |
*222222 |
(2,4,3) |
{6,4} |
{4.6.6.6.6.4}{6.6.6.6} |
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
|
|
sqc1956
|
|
Cmma |
67 |
orthorhombic |
{6,4} |
6 |
(2,4) |
|
G
|
False
|
|
sqc1955
|
|
C2/c |
15 |
monoclinic |
{6,4} |
6 |
(2,5) |
|
D
|
False
|
|
sqc124
|
|
Cmmm |
65 |
orthorhombic |
{6,4} |
3 |
(2,3) |
Topological data
| Vertex degrees | {6,4} |
| 2D vertex symbol | {4.6.6.6.6.4}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<24.1:64:17 34 35 6 7 24 25 50 51 14 15 32 58 59 22 23 42 43 30 31 57 38 39 64 49 46 47 56 54 55 62 63,2 4 8 46 39 10 12 16 62 55 18 20 24 54 63 26 28 32 38 47 34 36 40 42 44 48 50 52 56 58 60 64,9 3 5 7 16 11 13 15 25 19 21 23 32 27 29 31 49 35 37 39 56 57 43 45 47 64 51 53 55 59 61 63:4 6 6 4 6 6,6 4 4 6 6 6> {(0, 16): 't1', (0, 41): 't3^-1*tau2^-1', (0, 9): 'tau3*t2^-1', (0, 48): 't2*tau3^-1*t1^-1*tau2*t3', (1, 45): 't3^-1', (2, 56): 'tau1', (1, 53): 't2', (0, 33): 't3*tau2', (0, 42): 't3^-1*tau2^-1', (0, 34): 't3*tau2', (0, 50): 't2*tau3^-1', (2, 48): 'tau1^-1', (2, 63): 'tau1', (0, 57): 't2^-1*tau3', (0, 56): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 61): 't2^-1', (0, 24): 't1', (1, 37): 't3', (2, 55): 'tau1^-1', (0, 58): 't2^-1*tau3', }