U-tiling: UQC3529
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
![Net details](/hnet_small_images/hqc0749.jpg) |
hqc749 |
*2224 |
(3,5,2) |
{4,4,8} |
{4.4.4.4}{4.4.4.4}{4.4.4.4.4.4.4.4} |
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
|
True
|
|
sqc1505
|
|
P4/mmm |
123 |
tetragonal |
{4,4,6} |
7 |
(3,5) |
G
|
False
|
|
sqc12343
|
|
I41/acd |
142 |
tetragonal |
{4,4,8} |
28 |
(3,5) |
D
|
False
|
|
sqc7721
|
|
P42/nnm |
134 |
tetragonal |
{4,8,4} |
14 |
(3,5) |
Topological data
Vertex degrees | {4,4,8} |
2D vertex symbol | {4.4.4.4}{4.4.4.4}{4.4.4.4.4.4.4.4} |
Dual tiling | ![Tiling details](/u_net_small_images/s2224_FSGG_57_2_1.png) |
D-symbol
Genus-3 version with t-tau cuts labelled
<57.2:256:17 3 20 21 7 24 25 11 28 29 15 32 19 23 27 31 49 35 52 53 39 56 65 43 68 69 47 72 51 55 81 59 84 85 63 88 67 71 97 75 100 101 79 104 83 87 113 91 116 117 95 120 99 103 137 107 140 141 111 144 115 119 161 123 164 165 127 168 169 131 172 173 135 176 139 143 193 147 196 197 151 200 201 155 204 205 159 208 163 167 171 175 225 179 228 229 183 232 233 187 236 237 191 240 195 199 203 207 241 211 244 245 215 248 249 219 252 253 223 256 227 231 235 239 243 247 251 255,2 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 90 91 5 94 95 40 106 107 13 110 111 48 25 114 115 21 118 119 56 138 139 29 142 143 72 57 122 123 37 126 127 73 146 147 45 150 151 81 162 163 53 166 167 154 155 61 158 159 192 97 194 195 69 198 199 130 131 77 134 135 224 202 203 85 206 207 240 105 93 136 170 171 101 174 175 256 109 160 137 117 176 153 125 184 145 133 141 208 149 216 157 201 165 232 193 173 209 218 219 181 222 223 217 210 211 189 214 215 197 248 205 213 221 241 250 251 229 254 255 249 242 243 237 246 247 245 253:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,4 4 8 4 8 4 4 8 4 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(0, 59): 't3^-1', (0, 56): 't3^-1', (2, 184): 'tau1^-1', (0, 63): 't3^-1', (0, 60): 't3^-1', (0, 187): 't3^-1', (0, 224): 't3^-1', (2, 176): 'tau1', (0, 184): 't3^-1', (2, 17): 't1^-1', (2, 173): 'tau3^-1', (2, 174): 'tau3^-1', (2, 40): 't2', (2, 169): 'tau3^-1', (2, 170): 'tau3^-1', (2, 229): 'tau2*t1^-1*tau3^-1*t2', (2, 165): 'tau2', (2, 166): 'tau2', (2, 161): 'tau2', (2, 162): 'tau2', (0, 191): 't3^-1', (2, 152): 't3^-1', (0, 188): 't3^-1', (2, 21): 't1^-1', (2, 22): 't1^-1', (2, 144): 't2', (0, 151): 't2', (0, 148): 't2', (2, 225): 'tau2*t1^-1*tau3^-1*t2', (2, 141): 't1', (2, 142): 't1', (2, 137): 't1', (2, 138): 't1', (0, 76): 't2^-1', (2, 201): 'tau2', (0, 123): 't3', (0, 120): 't3', (2, 255): 't2^-1', (2, 248): 'tau1*t3^-1', (0, 127): 't3', (2, 250): 't2^-1*tau3*t1*tau2^-1', (2, 245): 't2*tau3^-1*t1^-1*tau2', (2, 246): 't2*tau3^-1*t1^-1*tau2', (2, 247): 't2', (2, 240): 'tau1^-1*t3', (2, 241): 't2*tau3^-1*t1^-1*tau2', (2, 242): 't2*tau3^-1*t1^-1*tau2', (0, 195): 't2^-1', (0, 99): 't2', (2, 230): 'tau2*t1^-1*tau3^-1*t2', (0, 103): 't2', (0, 228): 't3^-1', (0, 231): 't3^-1', (0, 192): 't2^-1', (0, 227): 't3^-1', (0, 164): 't3^-1', (2, 205): 'tau2', (0, 72): 't2^-1', (2, 56): 't3^-1', (2, 206): 'tau2', (2, 202): 'tau2', (2, 197): 'tau3^-1', (2, 198): 'tau3^-1', (2, 193): 'tau3^-1', (2, 194): 'tau3^-1', (2, 18): 't1^-1'}