U-tiling: UQC5343
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2024 |
*222222 |
(5,6,2) |
{3,3,4,4,4} |
{6.9.6}{6.9.9}{9.9.9.9}{9.9.9.9}... |
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
|
|
sqc5234
|
|
I212121 |
24 |
orthorhombic |
{3,3,4,4,4} |
14 |
(5,7) |
|
D
|
False
|
|
sqc14571
|
|
Pmmm |
47 |
orthorhombic |
{3,3,4,4,4} |
7 |
(5,6) |
Topological data
| Vertex degrees | {3,3,4,4,4} |
| 2D vertex symbol | {6.9.6}{6.9.9}{9.9.9.9}{9.9.9.9}{9.9.9.9} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<109.1:96:13 3 5 7 9 11 36 15 17 19 21 23 48 37 27 29 31 33 35 39 41 43 45 47 61 51 53 55 57 59 84 63 65 67 69 71 96 85 75 77 79 81 83 87 89 91 93 95,2 51 28 6 8 10 12 14 63 40 18 20 22 24 26 75 30 32 34 36 38 87 42 44 46 48 50 76 54 56 58 60 62 88 66 68 70 72 74 78 80 82 84 86 90 92 94 96,25 4 5 54 55 32 33 22 23 60 37 16 17 66 67 44 45 72 28 29 78 79 46 47 84 40 41 90 91 96 73 52 53 80 81 70 71 85 64 65 92 93 76 77 94 95 88 89:6 9 9 6 9 9,3 3 4 4 4 3 3 4 3 4 3 3 4 3> {(2, 60): 't1', (2, 56): 't2^-1*tau1^-1', (0, 60): 'tau3^-1*t2', (2, 53): 't2^-1', (2, 55): 't2^-1*tau1^-1', (2, 44): 'tau2^-1*t1', (2, 45): 'tau2^-1*t3^-1', (2, 46): '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, 29): 't3*tau1^-1', (2, 30): 't3*tau1^-1', (2, 31): 't3', (2, 21): 't1^-1', (2, 22): 't1^-1', (2, 23): 't1^-1', (2, 17): 'tau3', (2, 18): 'tau3', (1, 86): 't1^-1*tau3^-1*t2*tau1*t3^-1', (1, 74): 'tau1*t3^-1', (2, 6): 't2', (1, 63): 't1', (1, 62): 'tau3^-1', (2, 92): 'tau2^-1*t3^-1*tau1*t2', (2, 93): 'tau2^-1*t3^-1', (2, 94): 'tau2^-1*t3^-1', (0, 95): 't1^-1', (2, 91): 'tau2^-1*t3^-1*tau1*t2', (0, 72): 't2^-1*tau3*t1', (1, 2): 't2'}