U-tiling: UQC5765
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
![Net details](/hnet_small_images/hqc0464.jpg) |
hqc464 |
*2224 |
(3,4,2) |
{4,4,4} |
{8.8.8.8}{8.3.3.8}{3.3.3.3} |
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
|
True
|
|
sqc11699
|
|
P4/mmm |
123 |
tetragonal |
{3,4,4,4,4} |
28 |
(5,7) |
G
|
False
|
|
sqc11822
|
|
I4122 |
98 |
tetragonal |
{4,4,4,4,4} |
28 |
(5,8) |
D
|
False
|
|
sqc6336
|
|
P4222 |
93 |
tetragonal |
{4,4,4,4,4} |
14 |
(5,7) |
Topological data
Vertex degrees | {4,4,4,4,4} |
2D vertex symbol | {8.8.8.8}{8.3.3.8}{8.8.3.3}{3.3.3.3}{8.8.8.8} |
Dual tiling | ![Tiling details](/u_net_small_images/s22222a_FSG_27_1_1.png) |
D-symbol
Genus-3 version with t-tau cuts labelled
<27.1:224:29 3 5 7 9 11 13 42 43 17 19 21 23 25 27 56 31 33 35 37 39 41 45 47 49 51 53 55 85 59 61 63 65 67 69 98 113 73 75 77 79 81 83 126 87 89 91 93 95 97 141 101 103 105 107 109 111 154 115 117 119 121 123 125 155 129 131 133 135 137 139 168 143 145 147 149 151 153 157 159 161 163 165 167 197 171 173 175 177 179 181 210 211 185 187 189 191 193 195 224 199 201 203 205 207 209 213 215 217 219 221 223,2 4 12 8 11 10 14 16 18 26 22 25 24 28 30 32 40 36 39 38 42 44 46 54 50 53 52 56 58 60 68 64 67 66 70 72 74 82 78 81 80 84 86 88 96 92 95 94 98 100 102 110 106 109 108 112 114 116 124 120 123 122 126 128 130 138 134 137 136 140 142 144 152 148 151 150 154 156 158 166 162 165 164 168 170 172 180 176 179 178 182 184 186 194 190 193 192 196 198 200 208 204 207 206 210 212 214 222 218 221 220 224,57 128 129 6 7 134 135 38 39 40 41 28 71 100 101 20 21 106 107 52 53 54 55 85 156 157 34 35 162 163 56 113 142 143 48 49 148 149 184 185 62 63 190 191 94 95 96 97 112 170 171 76 77 176 177 122 123 124 125 140 212 213 90 91 218 219 154 169 104 105 150 151 152 153 198 199 118 119 204 205 168 183 132 133 164 165 166 167 197 146 147 211 160 161 174 175 206 207 208 209 196 188 189 220 221 222 223 202 203 224 216 217:8 3 8 3 3 3 8 3 8 3 3 8 3 3 8 3 3 3 8 3 8 3 3 3,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(2, 191): 't3*tau2', (2, 180): 't2*tau3^-1*t1^-1', (2, 181): 'tau1^-1', (2, 55): 't1', (0, 182): 't2^-1*tau3*t1', (2, 177): 't2*tau3^-1*t1^-1', (2, 178): 't2*tau3^-1*t1^-1', (2, 179): 't2*tau3^-1*t1^-1', (0, 42): 't1', (0, 168): 't3^-1*tau2^-1', (2, 40): 't1^-1', (2, 42): 't1', (2, 37): 't1^-1', (2, 38): 't1^-1', (2, 167): 'tau3^-1', (2, 161): 't1', (2, 162): 't1', (2, 156): 't1', (0, 27): 't1^-1', (2, 39): 't1^-1', (2, 153): 'tau2', (2, 154): 't1', (2, 155): 't1', (2, 95): 'tau2^-1*t3^-1', (0, 167): 'tau3^-1*t2', (0, 140): 'tau2*t3', (2, 139): 't2^-1', (2, 124): 'tau3*t2^-1', (0, 126): 't2^-1*tau3', (2, 121): 'tau3*t2^-1', (2, 122): 'tau3*t2^-1', (2, 123): 'tau3*t2^-1', (2, 94): 'tau2^-1*t3^-1', (2, 111): 't3^-1', (0, 111): 't3^-1*tau2^-1', (0, 181): 't3^-1*tau2^-1', (2, 96): 'tau2^-1*t3^-1', (2, 220): 'tau2^-1*t3^-1', (2, 221): 'tau2^-1*t3^-1', (2, 222): 'tau2^-1*t3^-1', (2, 223): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 223): 't1^-1*tau3^-1*t2', (2, 204): 't1', (2, 203): 't1', (2, 197): 't1', (2, 198): 't1', (2, 93): 'tau2^-1*t3^-1'}