U-tiling: UQC3820
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc845 |
*2224 |
(3,4,2) |
{3,4,4} |
{8.4.8}{8.8.4.4}{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
|
False
|
|
sqc8143
|
|
I4/mmm |
139 |
tetragonal |
{4,4,3} |
18 |
(3,4) |
G
|
False
|
|
sqc12461
|
|
I41/acd |
142 |
tetragonal |
{3,4,4} |
36 |
(3,5) |
D
|
False
|
|
sqc8139
|
|
P42/nnm |
134 |
tetragonal |
{3,4,4} |
18 |
(3,4) |
Topological data
Vertex degrees | {3,4,4} |
2D vertex symbol | {8.4.8}{8.8.4.4}{4.4.4.4} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<81.1:256:17 3 5 7 16 25 11 13 15 19 21 23 32 27 29 31 49 35 37 39 64 65 43 45 47 80 51 53 55 88 81 59 61 63 67 69 71 104 97 75 77 79 83 85 87 113 91 93 95 112 99 101 103 137 107 109 111 115 117 119 144 161 123 125 127 160 169 131 133 135 152 139 141 143 193 147 149 151 201 155 157 159 163 165 167 208 171 173 175 200 225 179 181 183 216 233 187 189 191 224 195 197 199 203 205 207 241 211 213 215 249 219 221 223 227 229 231 248 235 237 239 256 243 245 247 251 253 255,2 8 36 6 39 10 16 44 14 47 18 24 52 22 55 26 32 68 30 71 34 40 38 42 48 46 50 56 54 58 64 188 62 191 66 72 70 74 80 220 78 223 82 88 236 86 239 90 96 132 94 135 98 104 252 102 255 106 112 156 110 159 114 120 172 118 175 122 128 180 126 183 130 136 134 138 144 204 142 207 146 152 212 150 215 154 160 158 162 168 228 166 231 170 176 174 178 184 182 186 192 190 194 200 244 198 247 202 208 206 210 216 214 218 224 222 226 232 230 234 240 238 242 248 246 250 256 254,33 4 5 94 95 96 41 12 13 110 111 112 49 20 21 118 119 120 65 28 29 142 143 144 36 37 126 127 128 44 45 150 151 152 52 53 166 167 168 185 60 61 158 159 160 68 69 198 199 200 217 76 77 134 135 136 233 84 85 206 207 208 129 92 93 249 100 101 174 175 176 153 108 109 169 116 117 177 124 125 132 133 201 140 141 209 148 149 156 157 225 164 165 172 173 180 181 222 223 224 188 189 214 215 216 241 196 197 204 205 212 213 220 221 228 229 254 255 256 236 237 246 247 248 244 245 252 253:8 4 4 4 4 8 8 4 4 4 8 4 4 4 4 8 4 8 4 4 4 8 8 4,3 4 4 3 4 4 3 4 4 3 4 4 4 4 4 3 4 4 3 4 3 4 3 3 4 3 3 3 3 3 3 4 4 3 4 4> {(0, 56): 't3^-1', (0, 63): 't3^-1', (2, 54): 'tau2^-1', (0, 183): 'tau1', (1, 246): 't2', (0, 191): 'tau1^-1', (2, 173): 'tau3^-1', (2, 174): 'tau3^-1', (2, 175): 'tau3^-1', (0, 47): 't2', (2, 165): 'tau2', (1, 99): 't2', (2, 167): 'tau2', (0, 224): 't3^-1', (1, 102): 't2', (2, 21): 't1^-1', (2, 22): 't1^-1', (2, 23): 't1^-1', (0, 151): 't2', (2, 141): 't1', (2, 142): 't1', (2, 143): 't1', (1, 195): 't2^-1', (2, 253): 't2^-1*tau3*t1*tau2^-1', (0, 120): 't3', (2, 255): 't2^-1*tau3*t1*tau2^-1', (2, 248): 't2^-1', (0, 127): 't3', (2, 245): 't2*tau3^-1*t1^-1*tau2', (2, 246): 't2*tau3^-1*t1^-1*tau2', (2, 247): 't2*tau3^-1*t1^-1*tau2', (2, 240): 't2', (0, 247): 'tau1^-1*t3', (0, 255): 'tau1*t3^-1', (2, 254): 't2^-1*tau3*t1*tau2^-1', (0, 96): 't2', (0, 192): 't2^-1', (0, 232): 't3', (2, 205): 'tau2', (2, 206): 'tau2', (2, 207): 'tau2', (2, 197): 'tau3^-1', (2, 198): 'tau3^-1', (2, 199): 'tau3^-1'}