U-tiling: UQC5083
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) |
|
G
|
False
|
|
sqc4432
|
|
I212121 |
24 |
orthorhombic |
{4,8,6,4} |
8 |
(4,6) |
|
D
|
False
|
|
sqc676
|
|
Pmmm |
47 |
orthorhombic |
{4,6,8,4} |
4 |
(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 56 47 49 51 53 55 58 60 62 64 66 78 69 71 73 75 77 80 82 84 86 88,2 4 49 8 11 10 13 15 60 19 22 21 24 26 71 30 33 32 35 37 82 41 44 43 46 48 52 55 54 57 59 63 66 65 68 70 74 77 76 79 81 85 88 87,23 46 47 6 7 19 20 32 33 34 57 58 17 18 43 44 68 69 28 29 41 42 79 80 39 40 67 50 51 63 64 76 77 78 61 62 87 88 72 73 85 86 83 84:10 3 3 10 3 3 3 3 3 3,4 8 6 4 4 6 8 4> {(2, 56): 't1', (0, 44): 't2^-1*tau3', (2, 53): 't2^-1*tau1^-1', (2, 54): 't2^-1*tau1^-1', (2, 55): 't1', (2, 40): 'tau2^-1*t3^-1', (2, 41): 'tau2^-1*t3^-1', (2, 42): 'tau2^-1*t1', (2, 43): 'tau2^-1*t1', (2, 32): 't3', (2, 57): 't1', (2, 31): 't3', (1, 81): 't1^-1*tau3^-1*t2*tau1*t3^-1', (2, 18): 't1^-1', (2, 19): 't1^-1', (1, 70): 'tau1*t3^-1', (1, 59): 'tau3^-1', (1, 48): 't2^-1', (2, 84): 'tau2^-1*t3^-1', (2, 85): 'tau2^-1*t3^-1', (2, 86): 'tau2^-1*t3^-1*tau1*t2', (2, 87): 'tau2^-1*t3^-1*tau1*t2', (0, 77): 't1^-1*tau3^-1*t2'}