U-tiling: UQC209
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc207 |
*22222 |
(2,4,2) |
{4,4} |
{4.8.8.4}{8.8.8.8} |
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
|
|
sqc30
|
cdz
|
Pmmm |
47 |
orthorhombic |
{4,4} |
3 |
(2,4) |
|
G
|
False
|
|
sqc5273
|
|
Fddd |
70 |
orthorhombic |
{4,4} |
12 |
(2,4) |
|
D
|
False
|
|
sqc943
|
|
Cmma |
67 |
orthorhombic |
{4,4} |
6 |
(2,4) |
Topological data
| Vertex degrees | {4,4} |
| 2D vertex symbol | {4.8.8.4}{8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<3.5:96:13 3 58 59 54 19 9 70 71 66 15 82 83 78 21 94 95 90 37 27 64 65 72 43 33 52 53 60 39 88 89 96 45 76 77 84 73 51 79 57 85 63 91 69 75 81 87 93,2 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 26 27 5 30 32 33 11 36 19 38 39 17 42 44 45 23 48 31 29 35 43 41 47 61 68 69 53 72 67 62 63 59 66 65 71 85 92 93 77 96 91 86 87 83 90 89 95:8 4 8 4 4 4 8 8,4 4 4 4 4 4 4 4 4 4 4 4> {(0, 51): 't3', (0, 60): 't2', (2, 47): 't1', (2, 54): 'tau1^-1', (0, 95): 'tau3', (2, 78): 't3*tau1^-1*t2^-1', (2, 92): 'tau3*t1*tau2^-1', (0, 10): 't2', (2, 38): 't1', (2, 43): 't1', (2, 80): 'tau2^-1*t1*tau3', (0, 57): 't3^-1', (2, 41): 't1', (2, 85): 'tau3^-1*t1^-1*tau2', (2, 72): 't3^-1*tau1*t2', (0, 17): 'tau2^-1', (0, 90): 't2', (0, 48): 't3', (0, 83): 'tau2^-1', (0, 28): 't2^-1', (0, 9): 't2', (0, 63): 't2', (0, 52): 't3', (2, 44): 't1', (0, 23): 'tau3', (2, 89): 'tau3^-1*t1^-1*tau2', (0, 54): 't3^-1', (2, 37): 't1', (2, 95): 'tau3*t1*tau2^-1', (2, 73): 'tau2*t1^-1*tau3^-1', (2, 60): 'tau1^-1', (0, 58): 't3^-1', }