U-tiling: UQC2458
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1680 |
*2244 |
(2,5,5) |
{6,5} |
{4.8.3.3.3.8}{3.3.4.4.3} |
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
|
|
sqc10284
|
|
I-42d |
122 |
tetragonal |
{5,6} |
16 |
(2,6) |
|
D
|
False
|
|
sqc14642
|
|
P4/mmm |
123 |
tetragonal |
{6,5} |
8 |
(2,5) |
Topological data
| Vertex degrees | {6,5} |
| 2D vertex symbol | {4.8.3.3.3.8}{3.3.4.4.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<116.1:176:89 13 14 6 7 74 75 32 33 100 17 18 85 86 43 44 111 46 47 28 29 41 42 122 57 58 39 40 133 50 51 63 64 76 77 144 61 62 87 88 155 79 80 72 73 166 83 84 101 102 94 95 162 163 120 121 105 106 173 174 131 132 134 135 116 117 129 130 145 146 127 128 138 139 151 152 164 165 149 150 175 176 167 168 160 161 171 172,2 4 71 17 8 10 22 13 15 82 19 21 24 26 38 50 30 32 55 35 37 61 41 43 66 46 48 60 52 54 57 59 63 65 68 70 83 74 76 88 79 81 85 87 90 92 159 105 96 98 110 101 103 170 107 109 112 114 126 138 118 120 143 123 125 149 129 131 154 134 136 148 140 142 145 147 151 153 156 158 171 162 164 176 167 169 173 175,67 3 5 7 9 11 78 14 16 18 20 22 34 25 27 29 31 33 36 38 40 42 44 56 47 49 51 53 55 58 60 62 64 66 69 71 73 75 77 80 82 84 86 88 155 91 93 95 97 99 166 102 104 106 108 110 122 113 115 117 119 121 124 126 128 130 132 144 135 137 139 141 143 146 148 150 152 154 157 159 161 163 165 168 170 172 174 176:4 3 3 8 4 3 4 3 3 4 3 3 4 3 3 3 8 4 3 3 3 3 3 3,5 6 5 5 6 6 5 6 5 6 5 5 6 6 5 6> {(0, 18): 't1^-1*tau2*t3', (0, 173): 't3^-1*tau2^-1*t1', (1, 60): 't3*tau2*t1^-1', (1, 103): 't1^-1*tau2*t3', (1, 126): 't1*tau2^-1*t3^-1', (0, 19): 't1^-1*tau2*t3', (1, 153): 't3*tau2*t1^-1', (0, 42): 't1', (2, 11): 't1^-1*tau2*t3', (2, 165): 't3^-1*tau2^-1*t1', (0, 130): 'tau3^-1', (0, 163): 'tau1^-1', (0, 174): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 144): 't3*tau2*t1^-1', (0, 53): 't3', (0, 43): 't1', (1, 81): 't3^-1*tau2^-1*t1', (0, 119): 't2^-1', (0, 86): 't3^-1*tau2^-1*t3^-1', (0, 131): 'tau3^-1', (0, 57): 't3*tau2*t1^-1', (0, 56): 't3*tau2*t1^-1', (0, 175): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 164): 'tau1^-1', (0, 145): 't3*tau2*t1^-1', (0, 87): 't3^-1*tau2^-1*t3^-1', (0, 54): 't3', (0, 172): 't3^-1*tau2^-1*t1', (0, 120): 't2^-1', (1, 65): 't3*tau2*t1^-1', }