U-tiling: UQC1278
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1058 |
*222222 |
(2,5,3) |
{6,3} |
{4.8.6.6.8.4}{8.8.6} |
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
|
|
sqc251
|
|
Pmmm |
47 |
orthorhombic |
{6,3} |
4 |
(2,5) |
|
G
|
False
|
|
sqc2712
|
|
C2/c |
15 |
monoclinic |
{6,3} |
8 |
(2,6) |
|
D
|
False
|
|
sqc2746
|
|
Imma |
74 |
orthorhombic |
{6,3} |
8 |
(2,5) |
Topological data
| Vertex degrees | {6,3} |
| 2D vertex symbol | {4.8.6.6.8.4}{8.8.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<33.3:72:46 4 5 24 16 17 27 64 13 14 33 36 55 22 23 34 35 37 31 32 40 41 69 61 62 72 49 50 60 70 71 63 58 59 67 68,2 7 40 6 9 11 16 58 15 18 20 25 67 24 27 29 34 49 33 36 38 43 42 45 47 52 51 54 56 61 60 63 65 70 69 72,37 3 5 42 8 45 55 12 14 60 17 63 64 21 23 69 26 72 46 30 32 51 35 54 39 41 44 48 50 53 57 59 62 66 68 71:6 8 4 6 8 4,6 3 6 3 6 3 6 3> {(2, 54): 't2*tau3^-1', (0, 61): 'tau1^-1', (0, 51): 'tau1^-1', (0, 60): 'tau1^-1', (0, 63): 't2^-1', (0, 62): 't2*tau3^-1*t1^-1*tau2*t3', (2, 45): 't3^-1*tau2^-1', (0, 52): 'tau1^-1', (2, 44): 't3*tau2', (0, 45): 't3^-1', (0, 54): 't2', (0, 35): 't1', (0, 44): 't3*tau2*t1^-1*tau3^-1*t2', (2, 63): 't2^-1*tau3', (2, 36): 't3*tau2', (2, 62): 't2*tau3^-1', (2, 35): 'tau2*t3', (2, 26): 'tau3^-1*t2', (0, 36): 't3', (0, 26): 't1', }