U-tiling: UQC3704
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc813 |
*2224 |
(3,4,2) |
{4,4,8} |
{3.5.5.3}{3.5.3.5}{5.5.5.5.5.5.5.5} |
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
|
True
|
|
sqc1506
|
|
P4/mmm |
123 |
tetragonal |
{4,6,4} |
7 |
(3,4) |
|
G
|
False
|
|
sqc12303
|
|
I41/acd |
142 |
tetragonal |
{4,4,8} |
28 |
(3,5) |
|
D
|
False
|
|
sqc7416
|
|
P42/nnm |
134 |
tetragonal |
{4,8,4} |
14 |
(3,4) |
Topological data
| Vertex degrees | {4,4,8} |
| 2D vertex symbol | {3.5.5.3}{3.5.3.5}{5.5.5.5.5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<74.2:256:9 3 5 7 24 11 13 15 32 25 19 21 23 27 29 31 57 35 37 39 56 73 43 45 47 72 81 51 53 55 59 61 63 88 97 67 69 71 75 77 79 104 83 85 87 105 91 93 95 120 99 101 103 107 109 111 144 137 115 117 119 153 123 125 127 168 145 131 133 135 176 139 141 143 147 149 151 200 155 157 159 208 201 163 165 167 193 171 173 175 209 179 181 183 232 217 187 189 191 240 195 197 199 203 205 207 211 213 215 248 219 221 223 256 241 227 229 231 249 235 237 239 243 245 247 251 253 255,2 11 6 21 8 10 14 29 16 18 27 22 24 26 30 32 34 59 38 53 40 42 75 46 69 48 50 83 54 56 58 62 85 64 66 99 70 72 74 78 101 80 82 86 88 90 107 94 117 96 98 102 104 106 110 141 112 114 139 118 120 122 155 126 165 128 130 147 134 173 136 138 142 144 146 150 197 152 154 158 205 160 162 203 166 168 170 195 174 176 178 211 182 229 184 186 219 190 237 192 194 198 200 202 206 208 210 214 245 216 218 222 253 224 226 243 230 232 234 251 238 240 242 246 248 250 254 256,89 4 5 94 95 40 105 12 13 110 111 48 113 20 21 118 119 56 137 28 29 142 143 72 121 36 37 126 127 145 44 45 150 151 161 52 53 166 167 153 60 61 158 159 192 193 68 69 198 199 129 76 77 134 135 224 201 84 85 206 207 240 92 93 136 169 100 101 174 175 256 108 109 160 116 117 176 124 125 184 132 133 140 141 208 148 149 216 156 157 164 165 232 172 173 217 180 181 222 223 209 188 189 214 215 196 197 248 204 205 212 213 220 221 249 228 229 254 255 241 236 237 246 247 244 245 252 253:3 5 5 3 3 5 3 5 3 5 3 5 3 5 5 3 3 5 3 5 5 5 3 3 3 5 3 5 5 5 3 3,4 4 8 4 8 4 8 4 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(0, 120): 't3', (0, 184): 'tau1^-1', (1, 122): 't3', (0, 63): 't3^-1', (1, 242): 'tau1^-1*t3', (0, 183): 't3', (0, 151): 't2', (0, 191): 't3^-1', (2, 173): 'tau3^-1', (0, 40): 't2', (1, 250): 'tau1*t3^-1', (2, 168): 'tau3^-1', (1, 236): 't3', (2, 165): 'tau2', (0, 32): 't3', (2, 160): 'tau2', (1, 100): 't2', (1, 124): 't3', (2, 166): 'tau2', (1, 218): 'tau1', (0, 240): 'tau1^-1*t3', (2, 21): 't1^-1', (2, 22): 't1^-1', (1, 210): 'tau1^-1', (2, 16): 't1^-1', (1, 84): 't3', (2, 141): 't1', (2, 142): 't1', (1, 74): 't2^-1', (2, 136): 't1', (0, 248): 'tau1*t3^-1', (0, 128): 't2^-1', (1, 196): 't2^-1', (2, 253): 't2^-1*tau3*t1*tau2^-1', (2, 254): 't2^-1*tau3*t1*tau2^-1', (1, 58): 't3^-1', (2, 248): 't2^-1*tau3*t1*tau2^-1', (0, 127): 't3', (2, 245): 't2*tau3^-1*t1^-1*tau2', (2, 246): 't2*tau3^-1*t1^-1*tau2', (2, 247): 't2', (2, 240): 't2*tau3^-1*t1^-1*tau2', (1, 180): 't3', (2, 103): 't2', (0, 103): 't2', (0, 208): 'tau1^-1', (1, 146): 't2', (2, 174): 'tau3^-1', (2, 205): 'tau2', (2, 206): 'tau2', (2, 200): 'tau2', (2, 197): 'tau3^-1', (2, 198): 'tau3^-1', (2, 192): 'tau3^-1'}