U-tiling: UQC517
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc349 |
*2244 |
(2,4,3) |
{4,3} |
{4.16.16.4}{16.4.16} |
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
|
|
sqc1255
|
|
P4/mmm |
123 |
tetragonal |
{4,3} |
8 |
(2,4) |
|
G
|
False
|
|
sqc6334
|
|
I41/a |
88 |
tetragonal |
{4,3} |
16 |
(2,4) |
|
D
|
False
|
|
sqc6333
|
|
I41/amd |
141 |
tetragonal |
{4,3} |
16 |
(2,4) |
Topological data
| Vertex degrees | {4,3} |
| 2D vertex symbol | {4.16.16.4}{16.4.16} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<27.1:112:8 44 45 5 20 21 51 52 12 27 28 29 58 59 19 36 72 73 26 79 80 33 97 98 65 66 40 111 112 50 47 69 70 54 83 84 78 61 90 91 71 68 75 104 105 82 99 107 108 89 106 100 101 96 103 110,2 4 6 49 9 11 13 56 16 18 20 63 23 25 27 77 30 32 34 84 37 39 41 70 44 46 48 51 53 55 58 60 62 65 67 69 72 74 76 79 81 83 86 88 90 112 93 95 97 105 100 102 104 107 109 111,43 3 46 47 7 50 10 53 54 14 57 17 60 61 21 71 24 74 75 28 78 31 81 82 35 64 38 67 68 42 45 49 52 56 59 63 66 70 73 77 80 84 106 87 109 110 91 99 94 102 103 98 101 105 108 112:4 16 4 16 4 4 4 4,4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3> {(0, 29): 't3^-1*tau2^-1', (0, 51): 't1', (0, 107): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 22): 'tau3*t2^-1', (0, 100): 't2*tau3^-1*t1^-1*tau2*t3', (0, 63): 't2^-1', (0, 30): 't3^-1*tau2^-1', (0, 23): 'tau3*t2^-1', (0, 35): 't2^-1', (0, 56): 't3', (0, 105): 'tau1', (0, 43): 't1', (0, 57): 't3*tau2', (0, 98): 'tau1^-1', (0, 36): 't2^-1*tau3', (0, 28): 't3^-1', (0, 50): 't1', (0, 106): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 99): 't2*tau3^-1*t1^-1*tau2*t3', (0, 44): 't1', (0, 37): 't2^-1*tau3', (0, 58): 't3*tau2', }