U-tiling: UQC2091
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1674 |
*222222 |
(2,6,4) |
{16,3} |
{4.4.4.3.3.4.4.4.4.4.4.3.3.4.4.4... |
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) |
|
G
|
False
|
|
sqc4021
|
|
I212121 |
24 |
orthorhombic |
{16,3} |
6 |
(2,7) |
|
D
|
False
|
|
sqc530
|
|
Pmmm |
47 |
orthorhombic |
{16,3} |
3 |
(2,6) |
Topological data
| Vertex degrees | {16,3} |
| 2D vertex symbol | {4.4.4.3.3.4.4.4.4.4.4.3.3.4.4.4}{4.4.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<82.1:88:23 4 5 50 51 52 20 21 33 34 15 16 61 62 63 44 26 27 72 73 74 42 43 37 38 83 84 85 67 48 49 64 65 77 78 59 60 88 70 71 86 87 81 82,2 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 88,12 3 5 28 8 10 55 14 16 39 19 21 66 34 25 27 30 32 77 36 38 41 43 88 56 47 49 72 52 54 58 60 83 63 65 78 69 71 74 76 80 82 85 87:3 4 4 4 3 4 4 4 4 3 4 3,16 3 3 16 3 3> {(0, 41): 'tau2^-1*t3^-1', (0, 75): 't3*tau2', (0, 62): 't1', (0, 74): 't3*tau2', (0, 55): 't1', (2, 43): 't3*tau1^-1*t2^-1*tau3*t1', (0, 42): 'tau2^-1*t3^-1', (2, 54): 't2^-1', (2, 32): 't3*tau1^-1', (2, 21): 'tau3', (2, 77): 't1^-1*tau3^-1*t2', (2, 44): 't2^-1*tau3', (0, 60): 't1', (0, 43): 'tau2^-1*t1', (0, 20): 't1^-1', (0, 32): 't3', (0, 19): 't1^-1', (0, 61): 't1', (1, 58): 't1', (0, 87): 'tau2^-1*t3^-1*tau1*t2', (0, 54): 't2^-1*tau1^-1', (2, 60): 't1', }