U-tiling: UQC2566
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1929 |
*222222 |
(2,6,5) |
{7,5} |
{4.4.6.3.6.4.4}{6.3.4.4.3} |
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
|
|
sqc4846
|
|
I212121 |
24 |
orthorhombic |
{5,7} |
8 |
(2,7) |
|
D
|
False
|
|
sqc14572
|
|
P222 |
16 |
orthorhombic |
{7,5} |
4 |
(2,6) |
Topological data
| Vertex degrees | {7,5} |
| 2D vertex symbol | {4.4.6.3.6.4.4}{6.3.4.4.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<111.1:96:25 50 51 6 7 56 57 34 35 24 37 62 63 18 19 68 69 46 47 74 75 30 31 80 81 48 86 87 42 43 92 93 73 54 55 82 83 72 85 66 67 94 95 78 79 96 90 91,2 4 17 54 8 10 12 14 16 66 20 22 24 26 28 41 78 32 34 36 38 40 90 44 46 48 50 52 65 56 58 60 62 64 68 70 72 74 76 89 80 82 84 86 88 92 94 96,13 3 5 7 9 11 60 15 17 19 21 23 72 37 27 29 31 33 35 84 39 41 43 45 47 96 61 51 53 55 57 59 63 65 67 69 71 85 75 77 79 81 83 87 89 91 93 95:4 3 6 4 4 4 3 4 3 6 3 4,5 7 7 5 7 7 5 5> {(1, 88): 't1^-1*tau3^-1*t2', (0, 95): 'tau2^-1*t3^-1', (0, 62): 't1', (0, 55): 't2^-1', (0, 45): 'tau2^-1*t1', (0, 34): 't3', (1, 64): 'tau3^-1*t2', (0, 19): 'tau3', (0, 23): 't1^-1', (0, 56): 't2^-1', (0, 46): 'tau2^-1*t1', (0, 93): 'tau2^-1*t3^-1*tau1*t2', (0, 60): 't1', (2, 84): 't1^-1*tau3^-1*t2', (0, 31): 't3*tau1^-1', (0, 43): 't3*tau1^-1*t2^-1*tau3*t1', (0, 20): 'tau3', (0, 32): 't3*tau1^-1', (0, 57): 't2^-1*tau1^-1', (0, 47): 'tau2^-1*t3^-1', (2, 23): 't1^-1', (0, 61): 't1', (0, 94): 'tau2^-1*t3^-1*tau1*t2', (0, 33): 't3', (2, 48): 't2^-1*tau3', (0, 44): 't3*tau1^-1*t2^-1*tau3*t1', (1, 65): 't1', (0, 58): 't2^-1*tau1^-1', }