U-tiling: UQC2291
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1959 |
*222222 |
(2,7,4) |
{8,4} |
{4.4.4.4.4.4.4.4}{4.4.4.4} |
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
|
|
sqc4092
|
|
Pmmm |
47 |
orthorhombic |
{7,4} |
8 |
(2,7) |
|
G
|
False
|
|
sqc4796
|
|
I212121 |
24 |
orthorhombic |
{8,4} |
8 |
(2,8) |
|
D
|
False
|
|
sqc774
|
|
P222 |
16 |
orthorhombic |
{8,4} |
4 |
(2,7) |
Topological data
| Vertex degrees | {8,4} |
| 2D vertex symbol | {4.4.4.4.4.4.4.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<102.1:96:25 4 5 30 19 20 21 34 35 60 37 16 17 42 46 47 72 28 29 43 44 45 84 40 41 96 73 52 53 78 67 68 69 82 83 85 64 65 90 94 95 76 77 91 92 93 88 89,2 8 6 7 10 12 14 20 18 19 22 24 26 32 30 31 34 36 38 44 42 43 46 48 50 56 54 55 58 60 62 68 66 67 70 72 74 80 78 79 82 84 86 92 90 91 94 96,13 3 5 54 55 9 11 24 15 17 66 67 21 23 37 27 29 78 79 33 35 48 39 41 90 91 45 47 61 51 53 57 59 72 63 65 69 71 85 75 77 81 83 96 87 89 93 95:4 4 4 4 4 4 4 4 4 4 4 4,8 4 4 8 4 4 8 8> {(0, 80): 't3*tau2', (0, 18): 't1^-1', (0, 8): 't1', (0, 45): 'tau2^-1*t1', (0, 34): 't3', (0, 23): 'tau3', (0, 19): 't1^-1', (0, 42): 'tau2^-1*t3^-1', (2, 17): 't1^-1', (0, 35): 't3*tau1^-1', (2, 95): 't1^-1*tau3^-1*t2', (0, 46): 'tau2^-1*t1', (0, 93): 'tau2^-1*t3^-1*tau1*t2', (0, 60): 't1', (2, 84): 't1^-1*tau3^-1*t2', (0, 43): 'tau2^-1*t3^-1', (2, 18): 't1^-1', (0, 65): 't1', (0, 57): 't2^-1*tau1^-1', (0, 47): 't3*tau1^-1*t2^-1*tau3*t1', (0, 90): 'tau2^-1*t3^-1', (2, 59): 't2^-1*tau3', (0, 94): 'tau2^-1*t3^-1*tau1*t2', (0, 11): 't2', (0, 33): 't3', (2, 48): 't2^-1*tau3', (0, 44): 'tau2^-1*t3^-1', (0, 91): 'tau2^-1*t3^-1', (0, 58): 't2^-1*tau1^-1', }