U-tiling: UQC240
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc267 |
*22222 |
(2,3,2) |
{6,6} |
{3.6.3.3.6.3}{3.6.6.3.6.6} |
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) |
|
P
|
True
|
|
sqc4607
|
|
P4/mmm |
123 |
tetragonal |
{6,5} |
8 |
(2,3) |
|
G
|
False
|
|
sqc5176
|
|
I4122 |
98 |
tetragonal |
{6,6} |
8 |
(2,4) |
|
D
|
False
|
|
sqc793
|
|
P42/mmc |
131 |
tetragonal |
{6,6} |
4 |
(2,3) |
Topological data
| Vertex degrees | {6,6} |
| 2D vertex symbol | {3.6.3.3.6.3}{3.6.6.3.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<5.3:96:55 3 5 18 43 9 11 24 67 15 17 61 21 23 79 27 29 42 73 33 35 54 91 39 41 45 47 66 85 51 53 57 59 72 63 65 69 71 75 77 90 81 83 96 87 89 93 95,2 57 10 6 8 45 12 14 69 22 18 20 63 24 26 81 46 30 32 75 58 36 38 93 64 42 44 48 50 87 70 54 56 60 62 66 68 72 74 82 78 80 84 86 94 90 92 96,13 4 5 30 19 10 11 36 16 17 42 22 23 54 37 28 29 49 34 35 40 41 61 46 47 78 52 53 67 58 59 84 64 65 90 70 71 96 85 76 77 91 82 83 88 89 94 95:3 6 3 3 3 3 6 3 6 3 3 6,6 6 6 6 6 6 6 6> {(0, 59): 't2^-1*tau3', (2, 53): 't1^-1', (0, 48): 't1^-1', (2, 48): 'tau3*t2^-1', (0, 47): 't3^-1*tau2^-1', (2, 36): 'tau2^-1*t3^-1', (1, 81): 'tau1', (0, 23): 't1', (1, 87): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (1, 86): 't1', (2, 12): 't1^-1', (0, 12): 't1^-1', (1, 57): 't2^-1', (1, 63): 'tau2', (1, 51): 'tau3', (2, 95): 't1^-1', (1, 45): 't3^-1', (0, 89): 'tau2*t3', (0, 95): 't1^-1*tau3^-1*t2', (2, 90): 'tau2^-1*t3^-1', (2, 84): 't1*tau3*t2^-1', (1, 21): 't1', (1, 14): 't1^-1'}