U-tiling: UQC291
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc282 |
*22222 |
(2,3,2) |
{8,4} |
{3.6.6.3.3.6.6.3}{3.6.3.6} |
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
|
|
sqc5108
|
|
I4122 |
98 |
tetragonal |
{8,4} |
8 |
(2,4) |
|
D
|
False
|
|
sqc764
|
|
P42/mmc |
131 |
tetragonal |
{4,8} |
4 |
(2,3) |
Topological data
| Vertex degrees | {8,4} |
| 2D vertex symbol | {3.6.6.3.3.6.6.3}{3.6.3.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<7.2:96:25 3 5 12 31 9 11 37 15 17 24 49 21 23 27 29 48 33 35 60 39 41 66 73 45 47 51 53 72 79 57 59 85 63 65 91 69 71 75 77 84 81 83 87 89 96 93 95,2 27 6 17 8 33 12 23 14 39 18 20 51 24 26 30 41 32 36 53 38 42 44 75 48 65 50 54 56 81 60 71 62 87 66 68 93 72 74 78 89 80 84 95 86 90 92 96,55 4 5 18 43 10 11 24 67 16 17 61 22 23 79 28 29 42 73 34 35 54 91 40 41 46 47 66 85 52 53 58 59 72 64 65 70 71 76 77 90 82 83 96 88 89 94 95:3 6 3 3 3 6 6 3 3 3 3 6,8 4 8 4 8 8 4 4> {(0, 59): 't2^-1', (1, 82): 't2^-1*tau3*t1', (2, 53): 'tau3*t2^-1', (0, 48): 't1^-1', (2, 48): 't1^-1', (0, 53): 'tau3', (0, 41): 'tau2^-1', (0, 47): 't3^-1', (2, 29): 't3*tau2', (1, 92): 't1^-1', (0, 17): 't1^-1', (2, 12): 't1^-1', (1, 76): 't3^-1*tau2^-1', (1, 64): 'tau2*t3', (1, 70): 'tau3^-1*t2', (1, 50): 't1^-1', (0, 89): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (2, 5): 't1', (0, 90): 't1^-1', (2, 95): 'tau2^-1*t3^-1', (2, 89): 't1*tau3*t2^-1', (0, 83): 'tau1', (1, 22): 't1'}