U-tiling: UQC2927
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/hqc2297.jpg) |
hqc2297 |
*22222 |
(2,7,5) |
{4,6} |
{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
|
|
sqc11846
|
|
P4/mmm |
123 |
tetragonal |
{6,4} |
24 |
(2,7) |
G
|
False
|
|
sqc11792
|
|
I4122 |
98 |
tetragonal |
{6,4,4} |
24 |
(3,8) |
D
|
False
|
|
sqc6744
|
|
P4222 |
93 |
tetragonal |
{4,6} |
12 |
(2,7) |
Topological data
Vertex degrees | {6,4} |
2D vertex symbol | {4.4.4.4}{4.4.4.4.4.4} |
Dual tiling | ![Tiling details](/u_net_small_images/s22222a_FSG_28_5_0.png) |
D-symbol
Genus-3 version with t-tau cuts labelled
<28.5:224:29 58 59 6 7 64 65 136 137 40 41 42 43 72 73 20 21 78 79 108 109 54 55 56 86 87 34 35 92 93 164 165 114 115 48 49 120 121 150 151 85 62 63 192 193 96 97 98 113 76 77 178 179 124 125 126 90 91 220 221 141 170 171 104 105 176 177 152 153 154 118 119 206 207 155 184 185 132 133 190 191 166 167 168 198 199 146 147 204 205 212 213 160 161 218 219 197 174 175 208 209 210 211 188 189 222 223 224 202 203 216 217,2 4 14 8 13 10 12 16 18 28 22 27 24 26 30 32 42 36 41 38 40 44 46 56 50 55 52 54 58 60 70 64 69 66 68 72 74 84 78 83 80 82 86 88 98 92 97 94 96 100 102 112 106 111 108 110 114 116 126 120 125 122 124 128 130 140 134 139 136 138 142 144 154 148 153 150 152 156 158 168 162 167 164 166 170 172 182 176 181 178 180 184 186 196 190 195 192 194 198 200 210 204 209 206 208 212 214 224 218 223 220 222,15 3 5 7 9 11 13 28 17 19 21 23 25 27 43 31 33 35 37 39 41 56 45 47 49 51 53 55 99 59 61 63 65 67 69 112 127 73 75 77 79 81 83 140 141 87 89 91 93 95 97 154 101 103 105 107 109 111 155 115 117 119 121 123 125 168 129 131 133 135 137 139 143 145 147 149 151 153 157 159 161 163 165 167 183 171 173 175 177 179 181 196 185 187 189 191 193 195 211 199 201 203 205 207 209 224 213 215 217 219 221 223:4 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 4,6 4 4 6 4 4 6 4 6 4 6 4 4 6 4 4 4 4 6 4 4 6 4 4> {(0, 179): 't2*tau3^-1*t1^-1', (0, 41): 't1^-1', (0, 223): 'tau2^-1*t3^-1', (2, 56): 't3', (2, 210): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 96): 'tau2^-1*t3^-1', (0, 140): 'tau2*t3', (0, 154): 'tau3^-1*t2', (2, 182): 'tau1', (0, 125): 'tau3*t2^-1', (2, 83): 't2', (0, 180): 't2*tau3^-1*t1^-1', (0, 42): 't1', (0, 163): 't1', (2, 55): 't1', (0, 39): 't1^-1', (0, 221): 'tau2^-1*t3^-1', (2, 111): 't3^-1', (0, 123): 'tau3*t2^-1', (0, 164): 't1', (0, 40): 't1^-1', (0, 222): 'tau2^-1*t3^-1', (0, 161): 't1', (2, 209): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (0, 205): 't1', (2, 42): 't1', (2, 126): 't2^-1', (2, 97): 'tau2^-1', (2, 181): 'tau1^-1', (0, 124): 'tau3*t2^-1', (0, 95): 'tau2^-1*t3^-1', (0, 162): 't1', (0, 206): 't1', (0, 97): 'tau2^-1*t3^-1', (2, 112): 'tau3', (0, 155): 't1', (0, 49): 't1', (2, 84): 'tau2^-1', (0, 181): 't2*tau3^-1*t1^-1', (0, 43): 't1', (2, 125): 'tau3', (0, 156): 't1', (0, 50): 't1', (0, 168): 't3^-1*tau2^-1', (0, 182): 't2^-1*tau3*t1', (0, 44): 't1', }