U-tiling: UQC4195
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc868 |
*2224 |
(4,3,2) |
{4,3,4,4} |
{4.6.4.6}{4.6.6}{6.6.6.6}{6.6.6.6} |
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
|
|
sqc8133
|
|
I4/mmm |
139 |
tetragonal |
{4,3,4,4} |
18 |
(4,3) |
G
|
False
|
|
sqc12457
|
|
I41/acd |
142 |
tetragonal |
{4,3,4,4} |
36 |
(4,4) |
D
|
False
|
|
sqc7582
|
|
P42/nnm |
134 |
tetragonal |
{4,3,4,4} |
18 |
(4,3) |
Topological data
Vertex degrees | {4,3,4,4} |
2D vertex symbol | {4.6.4.6}{4.6.6}{6.6.6.6}{6.6.6.6} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<82.1:256:2 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 18 91 5 7 96 26 107 13 15 112 25 115 21 23 120 139 29 31 144 57 50 123 37 39 128 73 66 147 45 47 152 81 163 53 55 168 82 155 61 63 160 97 195 69 71 200 98 131 77 79 136 203 85 87 208 105 114 93 95 171 101 103 176 138 109 111 137 117 119 153 162 125 127 145 170 133 135 141 143 194 149 151 202 157 159 201 165 167 193 173 175 209 226 219 181 183 224 217 234 211 189 191 216 197 199 205 207 242 213 215 250 221 223 241 251 229 231 256 249 243 237 239 248 245 247 253 255,3 4 21 22 39 40 11 12 29 30 47 48 19 20 55 56 27 28 71 72 35 36 53 54 43 44 69 70 51 52 59 60 85 86 191 192 67 68 75 76 101 102 223 224 83 84 239 240 91 92 117 118 135 136 99 100 255 256 107 108 141 142 159 160 115 116 175 176 123 124 165 166 183 184 131 132 173 174 139 140 207 208 147 148 197 198 215 216 155 156 205 206 163 164 231 232 171 172 179 180 229 230 187 188 237 238 195 196 247 248 203 204 211 212 245 246 219 220 253 254 227 228 235 236 243 244 251 252:4 6 6 6 6 4 6 4 6 6 6 6 6 6 4 6 4 4 4 6 4 6 6 6,4 3 4 4 3 4 4 4 4 4 4 3 4 3 4 3 4 4 3 4 3 4 3 4 3 4 3 3 4 3 4 3 3 3 3 4> {(1, 121): 't3', (2, 188): 't3^-1', (1, 250): 't2^-1*tau3*t1*tau2^-1', (1, 255): 't2^-1*tau3*t1*tau2^-1', (1, 120): 't3', (2, 180): 't3', (2, 181): 't3', (1, 114): 't1', (1, 119): 't1', (1, 233): 't3', (1, 232): 't3*tau1^-1', (2, 101): 't2', (2, 164): 't3^-1', (2, 165): 't3^-1', (2, 60): 't3^-1', (1, 98): 'tau3', (1, 103): 'tau3', (2, 148): 't2', (2, 149): 't2', (1, 82): 'tau2^-1', (1, 87): 'tau2^-1', (1, 73): 't2^-1', (1, 72): 't2^-1', (1, 240): 'tau1^-1*t3', (2, 61): 't3^-1', (1, 66): 'tau3', (1, 71): 'tau3', (1, 57): 't3^-1', (1, 184): 'tau1^-1', (2, 254): 't2^-1', (2, 255): 't2^-1', (2, 246): 't2', (1, 50): 'tau2^-1', (1, 55): 'tau2^-1', (1, 193): 't2^-1', (2, 237): 't3', (1, 242): 't2*tau3^-1*t1^-1*tau2', (1, 247): 't2*tau3^-1*t1^-1*tau2', (1, 32): 't3', (1, 225): 't3^-1', (1, 26): 't1^-1', (1, 31): 't1^-1', (2, 76): 't2^-1', (1, 208): 'tau1^-1', (1, 128): 't2^-1', (2, 199): 't2^-1'}