U-tiling: UQC306
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc5 |
*246 |
(1,1,1) |
{6} |
{4.4.4.4.4.4} |
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) |
|
P
|
True
|
|
sqc4360
|
|
P4/mmm |
123 |
tetragonal |
{6,5} |
8 |
(2,3) |
|
G
|
False
|
|
sqc5133
|
|
I4122 |
98 |
tetragonal |
{6,6} |
8 |
(2,4) |
|
D
|
False
|
|
sqc796
|
|
P4222 |
93 |
tetragonal |
{6,6} |
4 |
(2,3) |
Topological data
| Vertex degrees | {6,6} |
| 2D vertex symbol | {4.4.4.4.4.4}{4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<8.1:96:25 4 5 30 31 10 11 36 37 16 17 42 49 22 23 54 28 29 34 35 40 41 73 46 47 78 52 53 79 58 59 84 85 64 65 90 91 70 71 96 76 77 82 83 88 89 94 95,2 9 6 17 8 12 23 14 21 18 20 24 26 45 30 41 32 57 36 53 38 63 42 44 48 65 50 69 54 56 60 71 62 66 68 72 74 81 78 89 80 84 95 86 93 90 92 96,13 3 5 60 19 9 11 48 15 17 72 21 23 66 37 27 29 84 49 33 35 78 39 41 96 61 45 47 51 53 90 67 57 59 63 65 69 71 85 75 77 91 81 83 87 89 93 95:4 4 4 4 4 4 4 4 4 4 4 4,6 6 6 6 6 6 6 6> {(1, 88): 't1*tau3*t2^-1', (2, 53): 't1^-1', (1, 26): 't3', (1, 68): 'tau3^-1', (1, 20): 't1', (0, 48): 't1^-1', (1, 56): 't2^-1', (2, 90): 't1^-1*tau3^-1*t2', (1, 16): 't1^-1', (2, 84): 'tau2*t3', (1, 82): 't3*tau2', (0, 95): 't1^-1', (2, 54): 't2^-1*tau3', (2, 18): 't1', (1, 40): 'tau2^-1*t3^-1', (1, 62): 'tau2', (0, 90): 't1^-1', (2, 17): 't1^-1', (1, 80): 'tau1', (1, 92): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 23): 't1', (1, 52): 'tau3*t2^-1', (2, 60): 'tau2*t3', }