U-tiling: UQC4874
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1781 |
*222222 |
(4,6,2) |
{4,4,3,4} |
{10.10.10.10}{10.6.6.10}{10.6.6}... |
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
|
|
sqc3706
|
|
Pmmm |
47 |
orthorhombic |
{3,4,3,3} |
12 |
(4,6) |
|
G
|
False
|
|
sqc4489
|
|
I212121 |
24 |
orthorhombic |
{4,4,3,4} |
12 |
(4,7) |
|
D
|
False
|
|
sqc655
|
|
P222 |
16 |
orthorhombic |
{4,3,4,4} |
6 |
(4,6) |
Topological data
| Vertex degrees | {4,4,3,4} |
| 2D vertex symbol | {10.10.10.10}{10.6.6.10}{10.6.6}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<90.1:88:12 3 5 7 19 10 22 14 16 18 21 34 25 27 29 41 32 44 36 38 40 43 56 47 49 51 63 54 66 58 60 62 65 78 69 71 73 85 76 88 80 82 84 87,2 4 49 8 9 11 13 15 60 19 20 22 24 26 71 30 31 33 35 37 82 41 42 44 46 48 52 53 55 57 59 63 64 66 68 70 74 75 77 79 81 85 86 88,23 46 47 6 7 52 53 54 33 34 57 58 17 18 63 64 65 44 68 69 28 29 74 75 76 79 80 39 40 85 86 87 67 50 51 77 78 61 62 88 72 73 83 84:10 6 10 6 6 6,4 4 3 4 4 4 3 4 4 3 4 3> {(2, 62): 't1', (2, 63): 'tau3^-1', (2, 56): 't1', (2, 57): 't1', (2, 52): 't2^-1', (2, 53): 't2^-1', (2, 54): 't2^-1*tau1^-1', (2, 55): 't1', (0, 55): 'tau3^-1*t2', (0, 43): 'tau2^-1*t3^-1', (0, 40): 'tau2^-1*t3^-1', (2, 41): 't3*tau1^-1*t2^-1*tau3*t1', (2, 42): 't3*tau1^-1*t2^-1*tau3*t1', (2, 43): 'tau2^-1*t1', (2, 32): 't3', (2, 30): 't3*tau1^-1', (2, 31): 't3*tau1^-1', (0, 18): 't1^-1', (0, 21): 't1^-1', (1, 81): 't1^-1*tau3^-1*t2*tau1*t3^-1', (1, 70): 'tau1*t3^-1', (1, 59): 'tau3^-1', (1, 48): 't2^-1', (2, 87): 'tau2^-1*t3^-1*tau1*t2', (0, 84): 'tau2^-1*t3^-1', (2, 20): 'tau3', (0, 76): 't3*tau2', (0, 77): 't1^-1*tau3^-1*t2'}