U-tiling: UQC4866
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1779 |
*222222 |
(4,6,2) |
{4,8,3,4} |
{5.5.5.5}{5.6.6.5.5.6.6.5}{5.6.6... |
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
|
|
sqc3075
|
|
Pmmm |
47 |
orthorhombic |
{3,7,3,3} |
10 |
(4,6) |
|
G
|
False
|
|
sqc4426
|
|
I212121 |
24 |
orthorhombic |
{4,8,3,4} |
10 |
(4,7) |
|
D
|
False
|
|
sqc602
|
|
P222 |
16 |
orthorhombic |
{4,3,8,4} |
5 |
(4,6) |
Topological data
| Vertex degrees | {4,8,3,4} |
| 2D vertex symbol | {5.5.5.5}{5.6.6.5.5.6.6.5}{5.6.6}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<88.1:88:12 3 5 7 30 10 33 14 16 18 41 21 44 34 25 27 29 32 36 38 40 43 56 47 49 51 74 54 77 58 60 62 85 65 88 78 69 71 73 76 80 82 84 87,2 4 16 8 9 11 13 15 19 20 22 24 26 38 30 31 33 35 37 41 42 44 46 48 60 52 53 55 57 59 63 64 66 68 70 82 74 75 77 79 81 85 86 88,23 46 47 6 7 19 20 21 55 34 57 58 17 18 66 68 69 28 29 41 42 43 77 79 80 39 40 88 67 50 51 63 64 65 78 61 62 72 73 85 86 87 83 84:5 6 6 5 5 6 6 5,4 8 3 4 4 8 3 4 3 3> {(2, 63): 'tau3^-1*t2', (0, 62): 't2^-1*tau1^-1*t3*tau2', (2, 57): 't1', (2, 53): 't2^-1*tau3', (2, 54): 't2^-1', (2, 55): 't1', (0, 54): 't2^-1*tau1^-1', (0, 55): 'tau3^-1*t2', (0, 43): 'tau2^-1*t1', (0, 40): 'tau2^-1*t1', (2, 40): 'tau2^-1*t3^-1', (2, 43): 't3*tau1^-1*t2^-1*tau3*t1', (2, 56): 't1', (0, 32): 't3', (2, 32): 't3*tau1^-1', (0, 29): 't3', (2, 21): 'tau3', (2, 18): 't1^-1', (0, 51): 't2^-1*tau1^-1', (1, 70): 't2^-1*tau3*t1', (1, 59): 'tau3^-1*t2', (2, 84): 'tau2^-1*t3^-1', (2, 86): 't1^-1*tau3^-1*t2', (0, 87): 'tau2^-1*t3^-1*tau1*t2', (2, 74): 't2^-1*tau3*t1', (0, 77): 't1^-1*tau3^-1*t2'}