U-tiling: UQC2481
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1910 |
*222222 |
(2,7,5) |
{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
|
|
sqc748
|
|
Pmmm |
47 |
orthorhombic |
{4,8} |
4 |
(2,7) |
|
G
|
False
|
|
sqc4904
|
|
C2/c |
15 |
monoclinic |
{4,8} |
8 |
(2,7) |
|
D
|
True
|
|
sqc561
|
|
Cmmm |
65 |
orthorhombic |
{4,7} |
4 |
(2,6) |
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
<100.3:96:61 50 51 5 54 55 32 33 22 23 36 85 74 75 17 78 79 44 45 48 73 86 87 29 90 91 46 47 49 62 63 41 66 67 53 92 93 82 83 96 65 80 81 94 95 84 77 89,2 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 96,49 3 52 53 7 9 11 60 73 15 76 77 19 21 23 84 85 27 88 89 31 33 35 96 61 39 64 65 43 45 47 72 51 55 57 59 63 67 69 71 75 79 81 83 87 91 93 95:4 4 4 4 4 4 4 4 4 4 4 4,4 8 4 8 4 8 4 8> {(2, 16): 'tau3*t2^-1', (0, 12): 't2', (2, 36): 'tau2*t3', (0, 59): 't3*tau2*t1^-1*tau3^-1*t2', (2, 87): 't2^-1*tau3', (2, 28): 'tau3^-1*t2', (0, 48): 't3', (2, 15): 'tau3*t2^-1', (2, 24): 'tau3^-1*t2', (2, 40): 'tau2*t3', (0, 93): 'tau1', (0, 60): 't3^-1', (2, 51): 't3*tau2', (2, 71): 't3^-1*tau2^-1', (2, 12): 'tau3*t2^-1', (0, 57): 'tau1', (0, 47): 't1', (0, 24): 't2^-1', (2, 23): 'tau3*t2^-1', (2, 59): 't3*tau2', (0, 83): 't2*tau3^-1*t1^-1*tau2*t3', (2, 52): 't3*tau2', (0, 94): 'tau1', (0, 11): 't1^-1', (2, 39): 'tau2*t3', (2, 48): 't3*tau2', (2, 35): 'tau3^-1*t2', (0, 58): 'tau1', }