U-tiling: UQC3708
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc816 |
*2224 |
(3,4,2) |
{4,8,4} |
{3.5.5.3}{3.5.3.5.3.5.3.5}{5.5.5.5} |
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
|
|
sqc7783
|
|
I4/mmm |
139 |
tetragonal |
{4,4,8} |
14 |
(3,4) |
G
|
False
|
|
sqc12349
|
|
I41/acd |
142 |
tetragonal |
{4,8,4} |
28 |
(3,5) |
D
|
False
|
|
sqc7570
|
|
P42/nnm |
134 |
tetragonal |
{4,4,8} |
14 |
(3,4) |
Topological data
Vertex degrees | {4,8,4} |
2D vertex symbol | {3.5.5.3}{3.5.3.5.3.5.3.5}{5.5.5.5} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<75.2:256:33 3 5 7 96 41 11 13 15 112 49 19 21 23 120 65 27 29 31 144 35 37 39 128 43 45 47 152 51 53 55 168 185 59 61 63 160 67 69 71 200 217 75 77 79 136 233 83 85 87 208 129 91 93 95 249 99 101 103 176 153 107 109 111 169 115 117 119 177 123 125 127 131 133 135 201 139 141 143 209 147 149 151 155 157 159 225 163 165 167 171 173 175 179 181 183 224 187 189 191 216 241 195 197 199 203 205 207 211 213 215 219 221 223 227 229 231 256 235 237 239 248 243 245 247 251 253 255,2 35 6 93 8 10 43 14 109 16 18 51 22 117 24 26 67 30 141 32 34 38 125 40 42 46 149 48 50 54 165 56 58 187 62 157 64 66 70 197 72 74 219 78 133 80 82 235 86 205 88 90 131 94 96 98 251 102 173 104 106 155 110 112 114 171 118 120 122 179 126 128 130 134 136 138 203 142 144 146 211 150 152 154 158 160 162 227 166 168 170 174 176 178 182 221 184 186 190 213 192 194 243 198 200 202 206 208 210 214 216 218 222 224 226 230 253 232 234 238 245 240 242 246 248 250 254 256,17 4 5 22 23 16 25 12 13 30 31 20 21 32 28 29 49 36 37 54 55 64 65 44 45 70 71 80 52 53 88 81 60 61 86 87 68 69 104 97 76 77 102 103 84 85 113 92 93 118 119 112 100 101 137 108 109 142 143 116 117 144 161 124 125 166 167 160 169 132 133 174 175 152 140 141 193 148 149 198 199 201 156 157 206 207 164 165 208 172 173 200 225 180 181 230 231 216 233 188 189 238 239 224 196 197 204 205 241 212 213 246 247 249 220 221 254 255 228 229 248 236 237 256 244 245 252 253:3 5 3 5 3 5 3 5 5 5 5 3 5 5 3 5 3 5 3 3 5 3 3 3 3 3 3 5 5 3 5 5,4 8 4 4 8 8 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(2, 189): 't3^-1', (2, 190): 't3^-1', (2, 191): 'tau1^-1', (2, 184): 't3^-1', (1, 252): 't2^-1*tau3*t1*tau2^-1', (2, 61): 't3^-1', (2, 181): 't3', (2, 182): 't3', (2, 183): 'tau1', (2, 176): 't3', (0, 55): 'tau2^-1', (0, 23): 't1^-1', (2, 56): 't3^-1', (2, 47): 't2', (1, 236): 'tau2^-1*t1*tau3*t2^-1', (2, 165): 't3^-1', (2, 166): 't3^-1', (1, 98): 't2', (2, 160): 't3^-1', (1, 100): 'tau3', (0, 247): 't2*tau3^-1*t1^-1*tau2', (2, 159): 't3^-1', (0, 31): 't1^-1', (2, 102): 't2', (2, 149): 't2', (2, 150): 't2', (2, 151): 't2', (2, 144): 't2', (1, 84): 'tau2^-1', (1, 68): 'tau3', (2, 255): 'tau1*t3^-1', (2, 39): 't3', (0, 255): 't2^-1*tau3*t1*tau2^-1', (0, 240): 't2', (2, 247): 'tau1^-1*t3', (1, 52): 'tau2^-1', (1, 116): 't1', (1, 242): 't2', (2, 62): 't3^-1', (2, 101): 't2', (0, 96): 't2', (2, 96): 't2', (0, 103): 'tau3', (1, 28): 't1^-1', (0, 87): 'tau2^-1', (0, 71): 'tau3'}