U-tiling: UQC4818
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1770 |
*222222 |
(4,6,2) |
{3,4,4,4} |
{8.6.8}{8.8.6.6}{8.8.8.8}{8.8.8.8} |
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
|
|
sqc3994
|
|
Pmmm |
47 |
orthorhombic |
{3,4,4,3} |
12 |
(4,6) |
|
G
|
False
|
|
sqc4461
|
|
I212121 |
24 |
orthorhombic |
{3,4,4,4} |
12 |
(4,7) |
|
D
|
False
|
|
sqc630
|
|
P222 |
16 |
orthorhombic |
{4,4,3,4} |
6 |
(4,6) |
Topological data
| Vertex degrees | {3,4,4,4} |
| 2D vertex symbol | {8.6.8}{8.8.6.6}{8.8.8.8}{8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<81.1:88:12 3 5 50 8 10 22 14 16 61 19 21 34 25 27 72 30 32 44 36 38 83 41 43 56 47 49 52 54 66 58 60 63 65 78 69 71 74 76 88 80 82 85 87,2 7 26 6 9 11 13 18 37 17 20 22 24 29 28 31 33 35 40 39 42 44 46 51 70 50 53 55 57 62 81 61 64 66 68 73 72 75 77 79 84 83 86 88,23 4 5 17 18 19 31 32 55 34 15 16 42 43 66 26 27 39 40 41 77 37 38 88 67 48 49 61 62 63 75 76 78 59 60 86 87 70 71 83 84 85 81 82:8 6 6 8 8 8,3 4 4 4 3 4 4 3 4 4 3 4> {(2, 63): 't2^-1*tau1^-1*t3*tau2', (0, 60): 't1', (2, 52): 't2^-1*tau1^-1', (2, 53): 't2^-1*tau1^-1', (2, 54): 't2^-1', (2, 55): 't1', (0, 54): 't2^-1*tau3', (0, 55): 'tau3^-1*t2', (2, 40): 'tau2^-1*t3^-1', (2, 41): 'tau2^-1*t1', (2, 42): 'tau2^-1*t1', (2, 43): 't3*tau1^-1*t2^-1*tau3*t1', (2, 38): 'tau2^-1*t3^-1', (2, 39): 'tau2^-1*t3^-1', (2, 32): 't3*tau1^-1', (2, 30): 't3', (2, 31): 't3', (2, 21): 'tau3', (2, 16): 't1^-1', (2, 17): 't1^-1', (2, 18): 't1^-1', (1, 58): 't1', (2, 84): 'tau2^-1*t3^-1', (2, 86): 'tau2^-1*t3^-1*tau1*t2', (2, 83): 'tau2^-1*t3^-1', (0, 76): 't2^-1*tau3*t1', (0, 77): 't1^-1*tau3^-1*t2', (2, 71): 't3*tau2'}