U-tiling: UQC202
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc206 |
*22222 |
(2,4,2) |
{8,4} |
{4.4.4.4.4.4.4.4}{4.4.4.4} |
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
|
|
sqc861
|
|
Fmmm |
69 |
orthorhombic |
{8,4} |
4 |
(2,4) |
|
G
|
False
|
|
sqc4962
|
|
Fddd |
70 |
orthorhombic |
{8,4} |
8 |
(2,4) |
|
D
|
True
|
|
sqc10
|
fsg
|
Pmmm |
47 |
orthorhombic |
{4,6} |
2 |
(2,4) |
Topological data
| Vertex degrees | {8,4} |
| 2D vertex symbol | {4.4.4.4.4.4.4.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<3.4:96:25 50 51 5 54 31 62 63 11 66 37 74 75 17 78 43 86 87 23 90 68 69 29 72 56 57 35 60 92 93 41 96 80 81 47 84 67 53 61 59 65 71 91 77 85 83 89 95,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96,7 3 16 17 60 9 22 23 72 19 15 84 21 96 31 27 40 41 66 33 46 47 54 43 39 90 45 78 61 51 76 77 67 57 82 83 63 88 89 69 94 95 85 75 91 81 87 93:4 4 4 4 4 4 4 4 4 4 4 4,8 4 4 8 4 4 8 8> {(2, 60): 'tau1^-1', (2, 63): 't2', (2, 57): 't3^-1', (2, 58): 't3^-1', (2, 59): 't3^-1', (2, 52): 't3', (2, 53): 't3', (2, 54): 'tau1^-1', (2, 51): 't3', (0, 42): 't1', (0, 43): 'tau2', (0, 41): 'tau3^-1', (0, 47): 'tau2', (0, 44): 'tau2', (0, 38): 'tau3^-1', (0, 36): 't1', (0, 37): 'tau3^-1', (2, 29): 't2^-1', (0, 19): 'tau3', (0, 17): 'tau2^-1', (0, 23): 'tau3', (0, 20): 'tau3', (0, 13): 'tau2^-1', (2, 11): 't2', (0, 90): 'tau3*t1*tau2^-1', (2, 93): 't2', (2, 94): 't2', (2, 88): 't2^-1', (2, 90): 't2*tau1*t3^-1', (0, 84): 'tau3^-1*t1^-1*tau2', (0, 74): 'tau2', (2, 72): 't3^-1*tau1*t2'}