U-tiling: UQC981
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc725 |
*2224 |
(2,4,3) |
{8,4} |
{4.4.3.4.4.4.3.4}{4.4.3.3} |
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
|
|
sqc7860
|
|
I4/mmm |
139 |
tetragonal |
{4,8} |
12 |
(2,4) |
G
|
False
|
|
sqc12359
|
|
I41/acd |
142 |
tetragonal |
{4,8} |
24 |
(2,5) |
D
|
False
|
|
sqc7867
|
|
P42/nnm |
134 |
tetragonal |
{4,8} |
12 |
(2,4) |
Topological data
Vertex degrees | {8,4} |
2D vertex symbol | {4.4.3.4.4.4.3.4}{4.4.3.3} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<80.2:256:9 4 5 38 39 40 12 13 46 47 48 25 20 21 54 55 56 28 29 70 71 72 57 36 37 73 44 45 81 52 53 60 61 190 191 192 97 68 69 76 77 222 223 224 84 85 238 239 240 105 92 93 134 135 136 100 101 254 255 256 108 109 158 159 160 137 116 117 174 175 176 153 124 125 182 183 184 145 132 133 140 141 206 207 208 148 149 214 215 216 156 157 201 164 165 230 231 232 193 172 173 209 180 181 217 188 189 196 197 246 247 248 204 205 212 213 220 221 241 228 229 249 236 237 244 245 252 253,2 8 12 6 95 10 16 14 111 18 24 28 22 119 26 32 30 143 34 40 60 38 127 42 48 76 46 151 50 56 84 54 167 58 64 62 159 66 72 100 70 199 74 80 78 135 82 88 86 207 90 96 108 94 98 104 102 175 106 112 110 114 120 140 118 122 128 156 126 130 136 148 134 138 144 142 146 152 150 154 160 158 162 168 204 166 170 176 196 174 178 184 212 182 223 186 192 220 190 215 194 200 198 202 208 206 210 216 214 218 224 222 226 232 244 230 255 234 240 252 238 247 242 248 246 250 256 254,17 3 5 7 24 25 11 13 15 32 19 21 23 27 29 31 49 35 37 39 56 65 43 45 47 72 51 53 55 81 59 61 63 88 67 69 71 97 75 77 79 104 83 85 87 113 91 93 95 120 99 101 103 137 107 109 111 144 115 117 119 161 123 125 127 168 169 131 133 135 176 139 141 143 193 147 149 151 200 201 155 157 159 208 163 165 167 171 173 175 225 179 181 183 232 233 187 189 191 240 195 197 199 203 205 207 241 211 213 215 248 249 219 221 223 256 227 229 231 235 237 239 243 245 247 251 253 255:3 4 4 4 4 3 4 4 4 4 3 3 3 4 3 4 4 3 4 4 4 3 4 3 4 3 4 4 3 4 3 3 3 4 3 3,4 8 4 8 4 8 4 8 8 4 8 4 4 4 4 4 4 4 4 8 4 4 4 8> {(0, 103): 't2', (0, 144): 't2', (1, 251): 'tau1*t3^-1', (1, 246): 't2*tau3^-1*t1^-1*tau2', (2, 191): 't3^-1', (0, 240): 'tau1^-1*t3', (1, 142): 't1', (2, 56): 't3^-1', (0, 102): 't2', (1, 118): 't1', (0, 248): 'tau1*t3^-1', (2, 144): 't2', (0, 198): 't2^-1', (2, 160): 't3^-1', (1, 70): 'tau3', (1, 179): 'tau1', (2, 63): 't3^-1', (0, 56): 't3^-1', (0, 152): 't3^-1', (0, 197): 't2^-1', (1, 35): 't3', (1, 254): 't2^-1*tau3*t1*tau2^-1', (2, 151): 't2', (0, 176): 'tau1', (0, 253): 't2^-1', (1, 227): 't3^-1*tau1', (1, 86): 'tau2^-1', (0, 40): 't2', (2, 184): 't3^-1', (1, 219): 'tau1', (1, 123): 't3', (2, 103): 't2', (0, 247): 't2', (2, 176): 't3', (1, 102): 'tau3', (1, 54): 'tau2^-1', (0, 184): 'tau1^-1', (2, 127): 't3', (1, 43): 't2', (2, 72): 't2^-1', (2, 183): 't3', (1, 131): 't2^-1', }