U-tiling: UQC5316
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2018 |
*222222 |
(5,7,2) |
{4,4,4,4,4} |
{4.4.4.4}{4.8.8.4}{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
|
|
sqc3849
|
|
Pmmm |
47 |
orthorhombic |
{3,3,4,4,3} |
12 |
(5,7) |
|
G
|
False
|
|
sqc5231
|
|
I212121 |
24 |
orthorhombic |
{4,4,4,4,4} |
12 |
(5,7) |
|
D
|
False
|
|
sqc812
|
|
Pmmm |
47 |
orthorhombic |
{4,4,4,4,4} |
6 |
(5,7) |
Topological data
| Vertex degrees | {4,4,4,4,4} |
| 2D vertex symbol | {4.4.4.4}{4.8.8.4}{8.8.8.8}{8.8.8.8}{8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<100.1:96:13 3 16 17 7 9 11 24 15 19 21 23 37 27 40 41 31 33 35 48 39 43 45 47 61 51 64 65 55 57 59 72 63 67 69 71 85 75 88 89 79 81 83 96 87 91 93 95,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96,25 50 51 5 54 55 20 21 34 35 60 37 62 63 17 66 67 46 47 72 74 75 29 78 79 44 45 84 86 87 41 90 91 96 73 53 68 69 82 83 85 65 94 95 77 92 93 89:4 8 4 8 4 8 4 8,4 4 4 4 4 4 4 4 4 4 4 4> {(2, 60): 't1', (0, 59): 't2^-1*tau3', (2, 62): 't1', (2, 57): 't2^-1*tau1^-1', (2, 58): 't2^-1*tau1^-1', (2, 61): 't1', (0, 51): 't2^-1*tau3', (0, 48): 't2^-1*tau3', (0, 52): 't2^-1*tau3', (2, 44): 'tau2^-1*t3^-1', (2, 45): 'tau2^-1*t1', (2, 46): 'tau2^-1*t1', (2, 47): 't3*tau1^-1*t2^-1*tau3*t1', (2, 43): 'tau2^-1*t3^-1', (2, 33): 't3', (2, 34): 't3', (2, 35): 't3*tau1^-1', (2, 20): 't1^-1', (2, 23): 'tau3', (2, 17): 't1^-1', (2, 18): 't1^-1', (2, 19): 't1^-1', (2, 11): 't2', (0, 88): 't1^-1*tau3^-1*t2', (2, 93): 'tau2^-1*t3^-1*tau1*t2', (2, 94): 'tau2^-1*t3^-1*tau1*t2', (0, 95): 't1^-1*tau3^-1*t2', (2, 91): 'tau2^-1*t3^-1', (2, 80): 't3*tau2', (0, 87): 't1^-1*tau3^-1*t2', (0, 84): 't1^-1*tau3^-1*t2'}