U-tiling: UQC2912
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/hqc0338.jpg) |
hqc338 |
*2224 |
(2,4,3) |
{5,4} |
{4.4.4.4.4}{4.4.4.4} |
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
|
|
sqc11948
|
|
P4/mmm |
123 |
tetragonal |
{4,5} |
24 |
(2,7) |
G
|
False
|
|
sqc11947
|
|
I4122 |
98 |
tetragonal |
{4,5,5} |
24 |
(3,8) |
D
|
False
|
|
sqc6819
|
|
P4222 |
93 |
tetragonal |
{5,4} |
12 |
(2,7) |
Topological data
Vertex degrees | {4,5} |
2D vertex symbol | {4.4.4.4.4}{4.4.4.4} |
Dual tiling | ![Tiling details](/u_net_small_images/s22222a_FSG_29_1_0.png) |
D-symbol
Genus-3 version with t-tau cuts labelled
<29.1:224:57 4 5 62 63 134 135 38 39 26 27 28 71 18 19 76 77 106 107 52 53 85 32 33 90 91 162 163 54 55 56 113 46 47 118 119 148 149 60 61 190 191 94 95 110 111 112 74 75 176 177 122 123 138 139 140 88 89 218 219 152 153 154 169 102 103 174 175 150 151 116 117 204 205 166 167 168 183 130 131 188 189 164 165 197 144 145 202 203 211 158 159 216 217 172 173 206 207 194 195 196 186 187 220 221 200 201 222 223 224 214 215,2 14 6 13 8 10 12 16 28 20 27 22 24 26 30 42 34 41 36 38 40 44 56 48 55 50 52 54 58 70 62 69 64 66 68 72 84 76 83 78 80 82 86 98 90 97 92 94 96 100 112 104 111 106 108 110 114 126 118 125 120 122 124 128 140 132 139 134 136 138 142 154 146 153 148 150 152 156 168 160 167 162 164 166 170 182 174 181 176 178 180 184 196 188 195 190 192 194 198 210 202 209 204 206 208 212 224 216 223 218 220 222,29 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 97 141 101 103 105 107 109 111 154 115 117 119 121 123 125 155 129 131 133 135 137 139 168 143 145 147 149 151 153 157 159 161 163 165 167 197 171 173 175 177 179 181 210 211 185 187 189 191 193 195 224 199 201 203 205 207 209 213 215 217 219 221 223:4 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 4,4 5 4 5 5 5 4 5 4 5 5 4 5 5 4 5 5 5 4 5 4 5 5 5> {(0, 179): 'tau1^-1', (0, 223): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 210): 't1^-1*tau3^-1*t2', (0, 55): 't1', (0, 111): 't3^-1', (0, 154): 't1', (0, 48): 't1', (0, 166): 'tau3^-1', (0, 137): 't2^-1', (0, 180): 'tau1^-1', (0, 42): 't1', (0, 151): 'tau2', (2, 223): 't1^-1*tau3^-1*t2', (0, 177): 't2*tau3^-1*t1^-1', (0, 221): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 111): 't3^-1*tau2^-1', (0, 159): 't1', (0, 53): 't1', (0, 138): 't2^-1', (0, 109): 't3^-1', (0, 47): 't1', (0, 152): 'tau2', (0, 178): 't2*tau3^-1*t1^-1', (0, 222): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 161): 't1', (0, 54): 't1', (2, 42): 't1', (2, 126): 't2^-1*tau3', (0, 37): 't1^-1', (0, 110): 't3^-1', (2, 27): 't1^-1', (2, 181): 't3^-1*tau2^-1', (0, 121): 'tau3*t2^-1', (0, 162): 't1', (0, 38): 't1^-1', (0, 220): 'tau2^-1*t3^-1', (0, 191): 't3*tau2', (0, 203): 't1', (2, 168): 't3^-1*tau2^-1', (0, 122): 'tau3*t2^-1', (0, 167): 'tau3^-1', (0, 93): 'tau2^-1*t3^-1', (0, 181): 'tau1^-1', (2, 140): 'tau2*t3', (0, 160): 't1', (0, 204): 't1', (0, 94): 'tau2^-1*t3^-1', (0, 139): 't2^-1', (2, 167): 'tau3^-1*t2', (0, 153): 'tau2', (0, 165): 'tau3^-1', }