U-tiling: UQC3584
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc774 |
*2224 |
(3,4,2) |
{3,4,4} |
{5.6.5}{5.5.6.6}{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
|
|
sqc8157
|
|
I4/mmm |
139 |
tetragonal |
{4,3,4} |
18 |
(3,4) |
G
|
False
|
|
sqc12467
|
|
I41/acd |
142 |
tetragonal |
{3,4,4} |
36 |
(3,5) |
D
|
False
|
|
sqc8130
|
|
P42/nnm |
134 |
tetragonal |
{3,4,4} |
18 |
(3,4) |
Topological data
Vertex degrees | {3,4,4} |
2D vertex symbol | {5.6.5}{5.5.6.6}{5.5.5.5} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<64.2:256:33 3 5 14 8 41 11 13 16 49 19 21 30 24 65 27 29 32 35 37 62 40 43 45 78 48 51 53 86 56 185 59 61 64 67 69 102 72 217 75 77 80 233 83 85 88 129 91 93 110 96 249 99 101 104 153 107 109 112 169 115 117 142 120 177 123 125 158 128 131 133 150 136 201 139 141 144 209 147 149 152 155 157 160 225 163 165 206 168 171 173 198 176 179 181 214 184 187 189 222 192 241 195 197 200 203 205 208 211 213 216 219 221 224 227 229 246 232 235 237 254 240 243 245 248 251 253 256,2 7 20 6 40 10 15 28 14 48 18 23 22 56 26 31 30 72 34 39 52 38 42 47 68 46 50 55 54 58 63 84 62 192 66 71 70 74 79 100 78 224 82 87 86 240 90 95 116 94 136 98 103 102 256 106 111 140 110 160 114 119 118 176 122 127 164 126 184 130 135 172 134 138 143 142 208 146 151 196 150 216 154 159 204 158 162 167 166 232 170 175 174 178 183 228 182 186 191 236 190 194 199 198 248 202 207 206 210 215 244 214 218 223 252 222 226 231 230 234 239 238 242 247 246 250 255 254,17 4 5 94 95 96 25 12 13 110 111 112 20 21 118 119 120 28 29 142 143 144 49 36 37 126 127 128 65 44 45 150 151 152 52 53 166 167 168 81 60 61 158 159 160 68 69 198 199 200 97 76 77 134 135 136 84 85 206 207 208 113 92 93 100 101 174 175 176 137 108 109 116 117 161 124 125 169 132 133 140 141 193 148 149 201 156 157 164 165 172 173 225 180 181 222 223 224 233 188 189 214 215 216 196 197 204 205 241 212 213 249 220 221 228 229 254 255 256 236 237 246 247 248 244 245 252 253:5 6 5 5 5 6 6 5 5 5 5 6 5 5 5 5 6 6 5 5 5 6 6 5,3 4 4 3 4 4 4 4 4 4 3 4 3 4 4 3 4 4 3 4 4 3 4 3 3 3 3 3 3 4 3 4 3 3 4 4> {(1, 123): 't3', (2, 23): 't1^-1', (2, 184): 't3^-1', (0, 61): 't3^-1', (2, 176): 't3', (1, 187): 't3^-1', (1, 247): 't2', (0, 181): 'tau1', (2, 56): 't3^-1', (2, 173): 'tau3^-1', (2, 174): 'tau3^-1', (2, 175): 'tau3^-1', (0, 45): 't2', (2, 165): 'tau2', (2, 166): 'tau2', (2, 167): 'tau2', (2, 160): 't3^-1', (1, 227): 't3^-1', (1, 103): 't2', (2, 30): 't1^-1', (2, 21): 't1^-1', (1, 83): 't3', (0, 189): 'tau1^-1', (2, 144): 't2', (0, 149): 't2', (2, 141): 't1', (1, 75): 't2^-1', (2, 143): 't1', (1, 195): 't2^-1', (0, 240): 't2', (2, 253): 't2^-1*tau3*t1*tau2^-1', (2, 254): 't2^-1*tau3*t1*tau2^-1', (2, 255): 't2^-1*tau3*t1*tau2^-1', (0, 125): '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', (0, 253): 'tau1*t3^-1', (0, 245): 'tau1^-1*t3', (0, 96): 't2', (2, 96): 't2', (2, 205): 'tau2', (2, 206): 'tau2', (2, 207): 'tau2', (2, 197): 'tau3^-1', (2, 198): 'tau3^-1', (2, 199): 'tau3^-1', (2, 22): 't1^-1'}