U-tiling: UQC2180
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1711 |
*222222 |
(2,5,4) |
{3,10} |
{4.8.6}{6.8.4.4.8.6.8.4.4.8} |
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
|
True
|
|
sqc372
|
|
Pmmm |
47 |
orthorhombic |
{3,8} |
5 |
(2,5) |
|
G
|
False
|
|
sqc4209
|
|
C2/c |
15 |
monoclinic |
{10,3,3} |
10 |
(3,6) |
|
D
|
False
|
|
sqc545
|
|
Cmmm |
65 |
orthorhombic |
{3,10} |
5 |
(2,5) |
Topological data
| Vertex degrees | {10,3} |
| 2D vertex symbol | {4.8.6}{6.8.4.4.8.6.8.4.4.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<3.2:88:45 57 58 6 7 52 53 32 33 67 79 80 17 18 74 75 43 44 78 68 69 28 29 85 86 56 46 47 39 40 63 64 50 51 87 88 61 62 76 77 72 73 83 84,2 4 16 8 11 10 13 15 19 22 21 24 26 38 30 33 32 35 37 41 44 43 46 48 71 52 55 54 57 59 82 63 66 65 68 70 74 77 76 79 81 85 88 87,23 3 5 7 9 11 34 14 16 18 20 22 25 27 29 31 33 36 38 40 42 44 78 47 49 51 53 55 67 58 60 62 64 66 69 71 73 75 77 80 82 84 86 88:4 8 6 4 4 8 4 6,10 3 3 3 3 10 3 3 3 3> {(2, 33): 't1', (0, 55): 't3^-1*tau2^-1', (2, 22): 't1', (0, 11): 'tau3*t2^-1', (1, 81): 'tau1', (0, 45): 't3', (2, 44): 't3*tau2*t1^-1*tau3^-1*t2', (0, 23): 't2^-1', (0, 13): 't2', (0, 22): 'tau3^-1*t2', (1, 70): 'tau1^-1', (0, 12): 't2', (0, 57): 't3^-1', (0, 24): 't2^-1', (0, 56): 't3^-1', (0, 46): 't3', (2, 55): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 44): 't3*tau2', }