U-tiling: UQC199
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
|
True
|
|
sqc10
|
fsg
|
Pmmm |
47 |
orthorhombic |
{4,6} |
2 |
(2,4) |
|
G
|
False
|
|
sqc4978
|
|
Fddd |
70 |
orthorhombic |
{8,4} |
8 |
(2,4) |
|
D
|
False
|
|
sqc894
|
|
Cmma |
67 |
orthorhombic |
{4,8} |
4 |
(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
<3.1:96:13 8 9 5 12 19 11 20 21 17 24 23 37 32 33 29 36 43 35 44 45 41 48 47 73 62 63 53 66 79 68 69 59 72 85 65 91 71 86 87 77 90 92 93 83 96 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 96,55 3 52 53 30 67 9 64 65 36 79 15 76 77 42 91 21 88 89 48 61 27 70 71 49 33 58 59 85 39 94 95 73 45 82 83 51 72 57 66 63 69 75 96 81 90 87 93:4 4 4 4 4 4 4 4 4 4 4 4,8 4 8 4 8 4 8 4> {(2, 60): 't2', (0, 59): 'tau1^-1', (0, 56): 'tau1^-1', (0, 62): 'tau1^-1', (0, 60): 't2', (0, 61): 'tau1^-1', (0, 48): 't3', (0, 54): 't3^-1', (0, 55): 'tau1^-1', (0, 53): 'tau1', (2, 45): 'tau2', (2, 46): 'tau2', (2, 47): 't1', (2, 40): 'tau3^-1', (2, 39): 'tau3^-1', (2, 30): 't3^-1', (2, 21): 'tau3', (2, 22): 'tau3', (2, 16): 'tau2^-1', (2, 17): 't1^-1', (2, 15): 'tau2^-1', (2, 6): 't2', (2, 0): 't3', (0, 95): 't2*tau1*t3^-1', (0, 90): 't2', (2, 95): 'tau3*t1*tau2^-1', (2, 89): 'tau3^-1*t1^-1*tau2', (0, 92): 't2*tau1*t3^-1', (0, 74): 't3^-1*tau1*t2', (0, 73): 't3^-1*tau1*t2', (0, 79): 't3*tau1^-1*t2^-1', (0, 77): 't3^-1*tau1*t2'}