U-tiling: UQC3332
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc431 |
*2224 |
(3,4,2) |
{3,4,4} |
{4.6.6}{6.6.6.6}{6.6.6.6} |
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) |
|
P
|
False
|
|
sqc6654
|
|
I4/mmm |
139 |
tetragonal |
{3,4,4} |
16 |
(3,4) |
|
G
|
False
|
|
sqc11830
|
|
I41/acd |
142 |
tetragonal |
{3,4,4} |
32 |
(3,4) |
|
D
|
False
|
|
sqc6714
|
|
P42/nnm |
134 |
tetragonal |
{4,4,3} |
16 |
(3,4) |
Topological data
| Vertex degrees | {3,4,4} |
| 2D vertex symbol | {4.6.6}{6.6.6.6}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<34.1:224:78 79 4 6 84 92 93 11 13 98 99 100 18 20 105 120 121 25 27 126 106 107 32 34 112 127 128 39 41 133 141 142 46 48 147 134 135 53 55 140 169 170 60 62 175 113 114 67 69 119 176 177 74 76 182 81 83 148 149 88 90 154 95 97 102 104 109 111 116 118 123 125 130 132 137 139 144 146 151 153 190 191 158 160 196 183 184 165 167 189 172 174 179 181 186 188 193 195 218 219 200 202 224 211 212 207 209 217 214 216 221 223,29 3 5 7 36 10 12 14 43 17 19 21 57 24 26 28 31 33 35 38 40 42 45 47 49 162 52 54 56 59 61 63 190 66 68 70 204 73 75 77 113 80 82 84 218 87 89 91 134 94 96 98 148 101 103 105 155 108 110 112 115 117 119 176 122 124 126 183 129 131 133 136 138 140 197 143 145 147 150 152 154 157 159 161 164 166 168 211 171 173 175 178 180 182 185 187 189 192 194 196 199 201 203 206 208 210 213 215 217 220 222 224,2 31 32 19 20 14 9 38 39 26 27 16 45 46 28 23 59 60 30 47 48 56 37 61 62 70 44 77 51 164 165 75 76 58 91 65 192 193 89 90 72 206 207 79 115 116 103 104 98 86 220 221 93 136 137 124 125 100 150 151 126 107 157 158 145 146 140 114 152 153 133 121 178 179 128 185 186 173 174 135 180 181 142 199 200 182 149 175 156 201 202 189 163 208 209 196 170 213 214 177 184 215 216 191 222 223 198 217 205 224 212 219:4 6 4 6 4 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6,3 4 4 3 4 3 3 4 4 3 4 3 4 3 3 4 4 3 3 4 3 3 4 4 4 3 3 4 3 4 4 3> {(2, 188): 'tau1^-1', (0, 56): 'tau3', (0, 57): 'tau3', (0, 62): 'tau3', (2, 53): 't3^-1', (0, 48): 'tau2^-1', (2, 55): 't3^-1', (0, 181): 'tau2', (0, 42): 'tau2^-1', (0, 43): 'tau2^-1', (2, 41): 't2', (2, 170): 't2^-1', (2, 171): 't2^-1', (2, 165): 't3^-1', (2, 166): 't3^-1', (2, 167): 'tau1^-1', (1, 217): 't2^-1', (0, 27): 't1^-1', (2, 158): 't3', (2, 159): 't3', (0, 218): 't2^-1*tau3*t1*tau2^-1', (1, 210): 't2', (0, 22): 't1^-1', (2, 145): 't3^-1', (0, 20): 't1^-1', (0, 21): 't1^-1', (0, 14): 't1^-1', (0, 15): 't1^-1', (2, 139): 't3^-1', (2, 132): 't2', (2, 54): 't3^-1', (2, 130): 't2', (2, 131): 't2', (2, 220): 't2^-1', (2, 109): 't3', (0, 217): 't2^-1*tau3*t1*tau2^-1', (2, 88): 't2', (0, 90): 'tau3', (0, 216): 't2*tau3^-1*t1^-1*tau2', (2, 223): 'tau1*t3^-1', (2, 216): 'tau1^-1*t3', (0, 223): 't2^-1*tau3*t1*tau2^-1', (2, 219): 't2^-1', (0, 210): 't2*tau3^-1*t1^-1*tau2', (0, 211): 't2*tau3^-1*t1^-1*tau2', (0, 84): 'tau3', (0, 85): 'tau3', (2, 68): 't2^-1', (0, 70): 'tau2^-1', (0, 71): 'tau2^-1'}