U-tiling: UQC2256
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1741 |
*222222 |
(2,6,4) |
{5,6} |
{4.4.6.4.4}{4.4.4.4.6.6} |
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
|
|
sqc4164
|
|
Cmma |
67 |
orthorhombic |
{6,5} |
8 |
(2,6) |
|
G
|
False
|
|
sqc4165
|
|
C2/c |
15 |
monoclinic |
{6,5} |
8 |
(2,7) |
|
D
|
False
|
|
sqc644
|
|
Cmmm |
65 |
orthorhombic |
{5,6} |
4 |
(2,5) |
Topological data
| Vertex degrees | {5,6} |
| 2D vertex symbol | {4.4.6.4.4}{4.4.4.4.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<92.1:88:23 4 5 50 51 63 53 54 33 34 15 16 72 73 85 75 76 44 26 27 83 84 74 86 87 37 38 61 62 52 64 65 78 48 49 88 67 59 60 77 70 71 81 82,2 9 48 6 8 11 13 20 70 17 19 22 24 31 81 28 30 33 35 42 59 39 41 44 46 53 50 52 55 57 64 61 63 66 68 75 72 74 77 79 86 83 85 88,12 3 5 7 52 10 22 14 16 18 74 21 34 25 27 29 85 32 44 36 38 40 63 43 67 47 49 51 54 77 78 58 60 62 65 88 69 71 73 76 80 82 84 87:6 4 4 4 6 4 4 4 4 4,6 5 5 6 5 5 6 6> {(2, 54): 'tau1', (0, 29): 't2^-1', (0, 51): 't3', (0, 18): 't2', (1, 58): 't3^-1*tau2^-1', (2, 51): 't3*tau2', (0, 62): 't3^-1', (2, 18): 'tau3*t2^-1', (0, 33): 't1', (1, 47): 't3*tau2', (0, 55): 't3^-1*tau2^-1*t1*tau3*t2^-1', (1, 69): 't2*tau3^-1', (0, 22): 't1', (2, 87): 'tau1', (0, 44): 't3*tau2*t1^-1*tau3^-1*t2', (2, 62): 't3^-1*tau2^-1', (2, 44): 'tau1', (2, 29): 'tau3^-1*t2', (1, 80): 't2^-1*tau3', (2, 55): 'tau1^-1', }