U-tiling: UQC566
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc368 |
*2244 |
(2,3,3) |
{5,8} |
{8.3.4.3.8}{3.4.3.4.3.4.3.4} |
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
|
False
|
|
sqc6572
|
|
P42/mmc |
131 |
tetragonal |
{5,8} |
10 |
(2,3) |
|
G
|
False
|
|
sqc6569
|
|
I-42d |
122 |
tetragonal |
{5,8} |
10 |
(2,4) |
|
D
|
False
|
|
sqc1330
|
|
P-42m |
111 |
tetragonal |
{5,8} |
5 |
(2,3) |
Topological data
| Vertex degrees | {5,8} |
| 2D vertex symbol | {8.3.4.3.8}{3.4.3.4.3.4.3.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<47.1:112:8 16 17 6 7 23 24 13 14 29 20 21 36 27 28 44 45 34 35 51 52 41 42 50 48 49 55 56 64 72 73 62 63 79 80 69 70 85 76 77 92 83 84 100 101 90 91 107 108 97 98 106 104 105 111 112,2 4 61 20 49 9 11 68 27 56 16 18 75 28 23 25 82 30 32 89 48 42 37 39 96 55 44 46 103 51 53 110 58 60 76 105 65 67 83 112 72 74 84 79 81 86 88 104 98 93 95 111 100 102 107 109,57 3 5 7 64 10 12 14 71 17 19 21 78 24 26 28 85 31 33 35 92 38 40 42 99 45 47 49 106 52 54 56 59 61 63 66 68 70 73 75 77 80 82 84 87 89 91 94 96 98 101 103 105 108 110 112:8 3 4 3 4 4 3 4 3 8 3 3 3 3,5 8 5 5 5 5 5 5 5 8> {(0, 51): 't3^-1*tau2^-1*t3^-1', (1, 26): 't1', (0, 107): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 22): 't1', (1, 103): 'tau1^-1', (1, 47): 't3^-1', (0, 100): 'tau1^-1', (1, 82): 'tau3^-1', (0, 78): 'tau3^-1', (1, 111): 't3^-1*tau2^-1*t1', (0, 23): 't1', (0, 35): 't3*tau2*t1^-1', (1, 13): 't1^-1*tau2*t3', (0, 79): 'tau3^-1', (1, 54): 't3^-1*tau2^-1*t3^-1', (1, 110): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 43): 't3^-1', (0, 57): 't2', (1, 75): 't2^-1', (0, 50): 't3^-1*tau2^-1*t3^-1', (0, 106): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 99): 'tau1^-1', (0, 44): 't3^-1', (0, 91): 't3*tau2*t1^-1', (0, 58): 't2', }