U-tiling: UQC545
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc362 |
*2244 |
(2,3,3) |
{5,8} |
{4.3.8.3.4}{3.8.3.8.3.8.3.8} |
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
|
|
sqc1347
|
|
P4/mmm |
123 |
tetragonal |
{8,5} |
5 |
(2,3) |
G
|
False
|
|
sqc6408
|
|
I41/a |
88 |
tetragonal |
{5,8} |
10 |
(2,4) |
D
|
False
|
|
sqc6494
|
|
I41/amd |
141 |
tetragonal |
{5,8} |
10 |
(2,3) |
Topological data
Vertex degrees | {5,8} |
2D vertex symbol | {4.3.8.3.4}{3.8.3.8.3.8.3.8} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<46.1:112:8 44 45 6 7 51 52 13 14 29 58 59 20 21 36 72 73 27 28 79 80 34 35 65 66 41 42 50 48 49 55 56 78 62 63 71 69 70 76 77 83 84 99 107 108 90 91 106 100 101 97 98 104 105 111 112,2 4 47 48 21 9 11 54 55 28 16 18 61 62 23 25 75 76 30 32 82 83 98 37 39 68 69 112 44 46 70 51 53 84 58 60 91 65 67 72 74 105 79 81 86 88 110 111 93 95 103 104 100 102 107 109,43 3 5 7 50 10 12 14 57 17 19 21 71 24 26 28 78 31 33 35 64 38 40 42 45 47 49 52 54 56 59 61 63 66 68 70 73 75 77 80 82 84 106 87 89 91 99 94 96 98 101 103 105 108 110 112:4 3 8 3 8 4 3 4 3 3 3 4 3 3,5 8 5 8 5 5 5 5 5 5> {(0, 29): 't3^-1*tau2^-1', (0, 51): 't1', (0, 22): 'tau3*t2^-1', (1, 47): 't1', (0, 23): 'tau3*t2^-1', (1, 75): 't2*tau3^-1', (0, 63): 't2^-1', (0, 30): 't3^-1*tau2^-1', (1, 82): 'tau2*t3', (0, 35): 't2^-1', (1, 96): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 56): 't3', (0, 93): 't3^-1*tau2^-1*t1*tau3*t2^-1', (1, 54): 't1', (0, 105): 'tau1', (1, 110): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 43): 't1', (1, 40): 't2^-1*tau3', (0, 86): 't3*tau2*t1^-1*tau3^-1*t2', (0, 57): 't3*tau2', (0, 98): 'tau1^-1', (0, 14): 't3', (0, 36): 't2^-1*tau3', (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', (1, 61): 't3*tau2', (0, 37): 't2^-1*tau3', (0, 58): 't3*tau2', }