U-tiling: UQC5082
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1869 |
*222222 |
(4,5,2) |
{4,8,6,4} |
{10.10.10.10}{10.3.3.10.10.3.3.1... |
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
|
|
sqc618
|
|
Pmmm |
47 |
orthorhombic |
{4,6,8,4} |
4 |
(4,5) |
|
G
|
False
|
|
sqc4372
|
|
C2/c |
15 |
monoclinic |
{4,8,6,4} |
8 |
(4,6) |
|
D
|
False
|
|
sqc4373
|
|
Imma |
74 |
orthorhombic |
{4,8,6,4} |
8 |
(4,5) |
Topological data
| Vertex degrees | {4,8,6,4} |
| 2D vertex symbol | {10.10.10.10}{10.3.3.10.10.3.3.10}{10.3.3.10.3.3}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<3.1:88:12 3 5 7 9 11 14 16 18 20 22 34 25 27 29 31 33 36 38 40 42 44 67 47 49 51 53 55 78 58 60 62 64 66 69 71 73 75 77 80 82 84 86 88,2 4 27 8 11 10 13 15 38 19 22 21 24 26 30 33 32 35 37 41 44 43 46 48 82 52 55 54 57 59 71 63 66 65 68 70 74 77 76 79 81 85 88 87,23 46 47 6 7 63 64 54 55 34 68 69 17 18 85 86 76 77 79 80 28 29 74 75 87 88 57 58 39 40 52 53 65 66 78 50 51 67 61 62 72 73 83 84:10 3 3 3 3 10 3 3 3 3,4 8 6 4 4 8 6 4> {(2, 62): 't3^-1', (2, 63): 't3^-1', (2, 56): 't3^-1*tau2^-1', (2, 57): 't3^-1*tau2^-1', (2, 52): 't3', (2, 55): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 55): 'tau1^-1', (2, 51): 't3', (2, 44): 't3*tau2*t1^-1*tau3^-1*t2', (2, 45): 't3*tau2', (2, 46): 't3*tau2', (0, 44): 'tau1', (2, 33): 't1', (2, 29): 't2^-1', (2, 30): 't2^-1', (2, 24): 'tau3^-1*t2', (2, 22): 't1', (2, 23): 'tau3^-1*t2', (2, 18): 't2', (2, 19): 't2', (2, 12): 'tau3*t2^-1', (2, 13): 'tau3*t2^-1'}