U-tiling: UQC3828
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc66 |
*248 |
(2,2,2) |
{6,8} |
{4.3.3.4.3.3}{3.3.3.3.3.3.3.3} |
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) |
|
P
|
False
|
|
sqc7922
|
|
I4/mmm |
139 |
tetragonal |
{6,8,6} |
10 |
(3,3) |
|
G
|
False
|
|
sqc12370
|
|
I41/acd |
142 |
tetragonal |
{6,6,8} |
20 |
(3,4) |
|
D
|
False
|
|
sqc7886
|
|
P42/nnm |
134 |
tetragonal |
{6,6,8} |
10 |
(3,3) |
Topological data
| Vertex degrees | {6,6,8} |
| 2D vertex symbol | {4.3.3.4.3.3}{4.3.3.4.3.3}{3.3.3.3.3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<1.1:256:2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168 170 172 174 176 178 180 182 184 186 188 190 192 194 196 198 200 202 204 206 208 210 212 214 216 218 220 222 224 226 228 230 232 234 236 238 240 242 244 246 248 250 252 254 256,9 18 5 8 7 26 13 16 15 25 21 24 23 29 32 31 57 50 37 40 39 73 66 45 48 47 81 53 56 55 82 61 64 63 97 69 72 71 98 77 80 79 85 88 87 105 114 93 96 95 101 104 103 138 109 112 111 137 117 120 119 153 162 125 128 127 145 170 133 136 135 141 144 143 194 149 152 151 202 157 160 159 201 165 168 167 193 173 176 175 209 226 181 184 183 217 234 189 192 191 197 200 199 205 208 207 242 213 216 215 250 221 224 223 241 229 232 231 249 237 240 239 245 248 247 253 256 255,3 4 93 94 39 40 11 12 109 110 47 48 19 20 117 118 55 56 27 28 141 142 71 72 35 36 125 126 43 44 149 150 51 52 165 166 59 60 157 158 191 192 67 68 197 198 75 76 133 134 223 224 83 84 205 206 239 240 91 92 135 136 99 100 173 174 255 256 107 108 159 160 115 116 175 176 123 124 183 184 131 132 139 140 207 208 147 148 215 216 155 156 163 164 231 232 171 172 179 180 221 222 187 188 213 214 195 196 247 248 203 204 211 212 219 220 227 228 253 254 235 236 245 246 243 244 251 252:4 3 3 3 3 4 3 4 3 3 3 3 3 3 4 3 3 3 3 4 3 4 3 3 3 3 3 3 4 3 4 3 3 3 3 3 3 3 3 3,6 6 8 6 8 6 8 8 6 6 6 6 6 6 6 6 6 6 6 6> {(1, 121): 't3', (1, 120): 't3', (1, 184): 'tau1^-1', (2, 52): 'tau2^-1', (1, 240): 'tau1^-1*t3', (1, 225): 't3^-1', (2, 101): 'tau3', (2, 252): 't2^-1*tau3*t1*tau2^-1', (2, 165): 'tau2', (2, 28): 't1^-1', (2, 29): 't1^-1', (2, 20): 't1^-1', (2, 21): 't1^-1', (1, 73): 't2^-1', (2, 245): 't2*tau3^-1*t1^-1*tau2', (1, 193): 't2^-1', (1, 185): 't3^-1', (1, 56): 't3^-1', (2, 255): 't2^-1', (2, 244): 't2*tau3^-1*t1^-1*tau2', (1, 176): 'tau1', (2, 246): 't2', (2, 247): 't2', (1, 40): 't2', (2, 100): 'tau3', (2, 229): 'tau2*t1^-1*tau3^-1*t2', (2, 102): 't2', (1, 81): 't3', (1, 232): 't3*tau1^-1', (2, 84): 'tau2^-1', (1, 144): 't2', (2, 205): 'tau2', (2, 68): 'tau3', (2, 197): 'tau3^-1'}