U-tiling: UQC2538
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1922 |
*222222 |
(2,6,5) |
{9,3} |
{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
|
|
sqc730
|
|
Pmmm |
47 |
orthorhombic |
{9,3} |
4 |
(2,6) |
|
G
|
False
|
|
sqc4795
|
|
C2/c |
15 |
monoclinic |
{3,9} |
8 |
(2,7) |
|
D
|
True
|
|
sqc556
|
|
Cmmm |
65 |
orthorhombic |
{3,8} |
4 |
(2,5) |
Topological data
| Vertex degrees | {9,3} |
| 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
<110.1:96:25 4 5 30 31 56 57 70 71 60 37 16 17 42 43 80 81 94 95 84 28 29 92 93 82 83 96 40 41 68 69 58 59 72 85 52 53 90 91 73 64 65 78 79 76 77 88 89,2 15 6 29 8 10 12 14 18 41 20 22 24 26 39 30 32 34 36 38 42 44 46 48 50 75 54 89 56 58 60 62 87 66 77 68 70 72 74 78 80 82 84 86 90 92 94 96,13 3 5 7 9 11 36 15 17 19 21 23 48 37 27 29 31 33 35 39 41 43 45 47 73 51 53 55 57 59 96 85 63 65 67 69 71 84 75 77 79 81 83 87 89 91 93 95:4 4 4 4 4 4 4 4 4 4 4 4,3 9 9 3 3 9 3 9> {(0, 29): 't1', (0, 60): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 82): 't2', (0, 31): 'tau3^-1*t2', (0, 53): 't3*tau2*t1^-1*tau3^-1*t2', (0, 43): 'tau2*t3', (0, 20): 'tau3*t2^-1', (0, 10): 't3', (0, 55): 't3*tau2', (0, 32): 'tau3^-1*t2', (0, 22): 't2', (0, 57): 't3', (1, 86): 'tau1', (0, 24): 't1', (0, 78): 't2*tau3^-1*t1^-1*tau2*t3', (0, 36): 't1', (0, 17): 't1^-1', (0, 48): 't3*tau2*t1^-1*tau3^-1*t2', (0, 19): 'tau3*t2^-1', (0, 9): 't3', (0, 21): 't2', (0, 30): 't1', (0, 33): 't2^-1', (0, 42): 't1', (0, 54): 't3*tau2*t1^-1*tau3^-1*t2', (0, 77): 't2*tau3^-1*t1^-1*tau2*t3', (2, 48): 'tau1', (0, 44): 'tau2*t3', (1, 74): 'tau1^-1', (0, 56): 't3*tau2', (0, 46): 't3^-1', (2, 60): 'tau1^-1', }