U-tiling: UQC2505
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1914 |
*222222 |
(2,6,5) |
{9,3} |
{4.4.4.3.6.3.4.4.4}{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) |
|
G
|
False
|
|
sqc4809
|
|
I212121 |
24 |
orthorhombic |
{3,9} |
8 |
(2,7) |
|
D
|
False
|
|
sqc14570
|
|
P222 |
16 |
orthorhombic |
{9,3} |
4 |
(2,6) |
Topological data
| Vertex degrees | {9,3} |
| 2D vertex symbol | {4.4.4.3.6.3.4.4.4}{3.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<107.1:96:25 4 5 18 19 56 57 34 35 24 37 16 17 68 69 46 47 28 29 42 43 80 81 48 40 41 92 93 73 52 53 66 67 82 83 72 85 64 65 94 95 76 77 90 91 96 88 89,2 15 52 6 8 10 12 14 64 18 20 22 24 26 39 76 30 32 34 36 38 88 42 44 46 48 50 63 54 56 58 60 62 66 68 70 72 74 87 78 80 82 84 86 90 92 94 96,13 3 5 7 9 11 60 15 17 19 21 23 72 37 27 29 31 33 35 84 39 41 43 45 47 96 61 51 53 55 57 59 63 65 67 69 71 85 75 77 79 81 83 87 89 91 93 95:6 3 4 4 4 6 4 3 4 3 4 3,3 9 9 3 9 9 3 3> {(0, 55): 't2^-1', (0, 45): 'tau2^-1*t1', (0, 34): 't3', (0, 19): 'tau3', (0, 23): 't1^-1', (0, 89): 't1^-1*tau3^-1*t2', (0, 56): 't2^-1', (0, 46): 'tau2^-1*t1', (1, 63): 't1', (0, 93): 'tau2^-1*t3^-1*tau1*t2', (0, 60): 't1', (2, 84): 't1^-1*tau3^-1*t2', (0, 31): 't3*tau1^-1', (0, 53): 't2^-1*tau3', (0, 43): 't3*tau1^-1*t2^-1*tau3*t1', (0, 20): 'tau3', (0, 32): 't3*tau1^-1', (0, 57): 't2^-1*tau1^-1', (0, 47): 'tau2^-1*t3^-1', (1, 86): 't1^-1*tau3^-1*t2', (1, 62): 'tau3^-1*t2', (2, 23): 't1^-1', (0, 90): 't1^-1*tau3^-1*t2', (0, 83): 't3*tau2', (0, 94): 'tau2^-1*t3^-1*tau1*t2', (0, 33): 't3', (0, 54): 't2^-1*tau3', (0, 44): 't3*tau1^-1*t2^-1*tau3*t1', (0, 58): 't2^-1*tau1^-1', (2, 60): 'tau3^-1*t2', }