U-tiling: UQC547
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc363 |
*22222 |
(2,3,3) |
{5,4} |
{4.6.4.6.4}{6.4.6.4} |
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) |
|
G
|
False
|
|
sqc6330
|
|
I4122 |
98 |
tetragonal |
{5,4} |
12 |
(2,4) |
|
D
|
False
|
|
sqc1214
|
|
P4222 |
93 |
tetragonal |
{5,4} |
6 |
(2,3) |
Topological data
| Vertex degrees | {5,4} |
| 2D vertex symbol | {4.6.4.6.4}{6.4.6.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<17.4:112:8 16 17 6 7 23 24 13 14 22 20 21 27 28 50 44 45 34 35 64 58 59 41 42 71 48 49 72 73 55 56 78 62 63 79 80 69 70 76 77 83 84 92 100 101 90 91 107 108 97 98 106 104 105 111 112,2 4 19 34 70 9 11 26 41 56 16 18 48 84 23 25 62 77 30 32 47 98 37 39 61 91 44 46 112 51 53 75 90 58 60 105 65 67 82 97 72 74 104 79 81 111 86 88 103 93 95 110 100 102 107 109,15 3 5 7 22 10 12 14 17 19 21 24 26 28 43 31 33 35 57 38 40 42 45 47 49 71 52 54 56 59 61 63 78 66 68 70 73 75 77 80 82 84 99 87 89 91 106 94 96 98 101 103 105 108 110 112:4 6 4 6 4 4 4 4 4 6 6 4,5 4 5 4 4 4 5 5 5 5 5 5> {(0, 51): 't3^-1*tau2^-1', (2, 14): 't1^-1', (2, 56): 'tau3*t2^-1', (1, 46): 'tau2^-1*t3^-1', (1, 104): 't1', (0, 22): 't1', (2, 105): 'tau2^-1*t3^-1', (0, 78): 'tau3^-1*t2', (2, 98): 't1*tau3*t2^-1', (1, 20): 't1^-1', (0, 63): 't2^-1', (0, 42): 'tau2^-1', (0, 23): 't1', (1, 102): 't1*tau3*t2^-1', (0, 56): 'tau3', (0, 49): 't3^-1', (0, 100): 'tau2*t3', (0, 93): 't2^-1*tau3*t1', (0, 105): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (1, 110): 't1^-1', (0, 65): 't2^-1*tau3', (1, 39): 't2*tau3^-1', (0, 50): 't3^-1*tau2^-1', (1, 109): 'tau2^-1*t3^-1', (0, 21): 't1', (0, 106): 't1^-1*tau3^-1*t2', (1, 18): 't1^-1', (0, 99): 'tau2*t3', (2, 42): 'tau2^-1*t3^-1', (1, 61): 't1^-1', (0, 91): 'tau1', }