U-tiling: UQC743
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc613 |
*22222 |
(2,4,3) |
{10,3} |
{4.3.6.3.4.4.3.6.3.4}{3.6.6} |
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) |
|
G
|
False
|
|
sqc7412
|
|
I4122 |
98 |
tetragonal |
{3,10} |
12 |
(2,5) |
|
D
|
False
|
|
sqc14583
|
|
P4/mmm |
123 |
tetragonal |
{10,3} |
3 |
(2,4) |
Topological data
| Vertex degrees | {10,3} |
| 2D vertex symbol | {4.3.6.3.4.4.3.6.3.4}{3.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<26.1:128:33 4 5 22 23 16 41 12 13 30 31 49 20 21 32 65 28 29 36 37 54 55 64 44 45 70 71 80 52 53 88 97 60 61 86 87 68 69 96 105 76 77 94 95 113 84 85 121 92 93 100 101 118 119 112 108 109 126 127 116 117 128 124 125,2 19 76 6 8 10 27 60 14 16 18 92 22 24 26 84 30 32 34 51 108 38 40 42 67 100 46 48 50 124 54 56 58 83 62 64 66 116 70 72 74 91 78 80 82 86 88 90 94 96 98 115 102 104 106 123 110 112 114 118 120 122 126 128,17 3 5 7 24 25 11 13 15 32 19 21 23 27 29 31 49 35 37 39 56 65 43 45 47 72 51 53 55 81 59 61 63 88 67 69 71 89 75 77 79 96 83 85 87 91 93 95 113 99 101 103 120 121 107 109 111 128 115 117 119 123 125 127:6 3 4 6 3 6 6 3 4 3 4 3 3 3 4 3,3 10 3 10 3 10 3 10 3 3 3 3> {(1, 98): 't3^-1*tau2^-1', (0, 29): 't1', (2, 120): 't1^-1*tau3^-1*t2', (0, 118): 'tau2*t3', (2, 47): 't2*tau3^-1', (0, 126): 't1^-1*tau3^-1*t2', (1, 91): 't1', (0, 117): 'tau2*t3', (2, 56): 't3^-1*tau2^-1', (0, 125): 't1^-1*tau3^-1*t2', (0, 55): 'tau2^-1', (1, 106): 't2^-1*tau3*t1', (2, 96): 't3^-1*tau2^-1', (2, 127): 'tau2^-1*t3^-1', (0, 47): 't2', (0, 24): 't1', (0, 14): 't1^-1', (2, 23): 't1^-1', (0, 94): 'tau3^-1*t2', (0, 23): 't1^-1', (0, 61): 't3^-1*tau2^-1', (0, 111): 'tau1', (0, 119): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (0, 93): 'tau3^-1*t2', (2, 88): 'tau3^-1*t2', (0, 63): 't3^-1', (1, 10): 't1^-1', (2, 24): 't1', (1, 82): 'tau2*t3', (0, 95): 'tau3^-1', (1, 115): 't1', (2, 119): 't1*tau3*t2^-1', (0, 86): 'tau2*t3', (1, 74): 't2^-1*tau3', (0, 120): 't1^-1', (2, 55): 'tau2^-1*t3^-1', }