U-tiling: UQC434
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc189 |
*2244 |
(2,3,3) |
{5,4} |
{4.4.6.6.4}{6.6.6.6} |
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
|
False
|
|
sqc847
|
|
P4/mmm |
123 |
tetragonal |
{5,4} |
5 |
(2,3) |
|
G
|
False
|
|
sqc5335
|
|
I-42d |
122 |
tetragonal |
{4,5} |
10 |
(2,3) |
|
D
|
False
|
|
sqc933
|
|
P-42m |
111 |
tetragonal |
{5,4} |
5 |
(2,3) |
Topological data
| Vertex degrees | {5,4} |
| 2D vertex symbol | {4.4.6.6.4}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<15.1:96:2 51 52 41 42 8 57 58 47 48 14 63 64 23 24 20 69 70 26 75 76 35 36 32 81 82 38 87 88 44 93 94 50 89 90 56 95 96 62 71 72 68 74 83 84 80 86 92,7 3 5 18 9 11 24 25 15 17 31 21 23 27 29 42 33 35 48 43 39 41 45 47 55 51 53 66 57 59 72 73 63 65 79 69 71 75 77 90 81 83 96 91 87 89 93 95,13 14 4 6 19 20 10 12 16 18 22 24 37 38 28 30 43 44 34 36 40 42 46 48 61 62 52 54 67 68 58 60 64 66 70 72 85 86 76 78 91 92 82 84 88 90 94 96:6 4 4 4 6 4 6 4 6 4,4 5 5 5 5 4 5 5 5 5> {(2, 49): 't2', (2, 43): 't3^-1*tau2^-1*t3^-1', (2, 36): 't3^-1', (0, 59): 't1^-1*tau2*t3', (1, 95): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 54): 'tau3', (2, 90): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 23): 't1', (2, 37): 't3^-1', (1, 41): 't3^-1', (1, 71): 'tau3^-1', (0, 46): 't3^-1*tau2^-1*t1', (2, 55): 'tau3', (2, 91): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 84): 'tau1^-1', (2, 18): 't1', (0, 47): 't3^-1*tau2^-1*t1', (1, 66): 't1*tau2^-1*t3^-1', (2, 85): 'tau1^-1', (1, 89): 'tau1^-1', (2, 19): 't1', (1, 47): 't3^-1*tau2^-1*t3^-1', (2, 48): 't2', (2, 42): 't3^-1*tau2^-1*t3^-1', (1, 30): 't3*tau2*t1^-1', (1, 65): 't2^-1', (0, 58): 't1^-1*tau2*t3', }