U-tiling: UQC241
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc267 |
*22222 |
(2,3,2) |
{6,6} |
{3.6.3.3.6.3}{3.6.6.3.6.6} |
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
|
True
|
|
sqc694
|
|
Fmmm |
69 |
orthorhombic |
{5,6} |
4 |
(2,3) |
|
G
|
False
|
|
sqc5162
|
|
Fddd |
70 |
orthorhombic |
{6,6} |
8 |
(2,4) |
|
D
|
False
|
|
sqc25
|
|
Pmmm |
47 |
orthorhombic |
{6,6} |
2 |
(2,3) |
Topological data
| Vertex degrees | {6,6} |
| 2D vertex symbol | {3.6.3.3.6.3}{3.6.6.3.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<5.2:96:55 3 5 12 67 9 11 79 15 17 24 91 21 23 61 27 29 36 49 33 35 85 39 41 48 73 45 47 51 53 66 57 59 72 63 65 69 71 75 77 90 81 83 96 87 89 93 95,2 57 28 6 8 69 34 12 14 81 40 18 20 93 46 24 26 63 30 32 51 36 38 87 42 44 75 48 50 70 54 56 64 60 62 66 68 72 74 94 78 80 88 84 86 90 92 96,49 4 5 18 61 10 11 24 73 16 17 85 22 23 67 28 29 42 55 34 35 48 91 40 41 79 46 47 52 53 78 58 59 84 64 65 90 70 71 96 76 77 82 83 88 89 94 95:3 6 3 3 6 3 3 3 3 3 6 6,6 6 6 6 6 6 6 6> {(0, 59): 'tau1^-1', (0, 60): 't2', (2, 59): 't3^-1', (2, 53): 't3', (0, 48): 't3', (0, 54): 't3^-1', (0, 53): 'tau1', (2, 42): 'tau2', (2, 36): 'tau3^-1', (1, 81): 'tau2^-1*t1*tau3', (2, 18): 'tau3', (2, 12): 'tau2^-1', (1, 75): 'tau2*t1^-1*tau3^-1', (0, 6): 't2', (1, 56): 't3^-1', (1, 62): 't2', (0, 89): 't2^-1*tau1^-1*t3', (1, 45): 't1', (1, 32): 't3^-1', (1, 39): 't1', (2, 95): 't2', (0, 95): 't2*tau1*t3^-1', (1, 8): 't2', (2, 65): 't2'}