U-tiling: UQC5669
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/hqc2243.jpg) |
hqc2243 |
*22222 |
(5,6,2) |
{4,4,4,6,4} |
{7.7.7.7}{7.7.7.7}{7.3.3.7}{7.3.... |
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) |
G
|
False
|
|
sqc11401
|
|
I4122 |
98 |
tetragonal |
{4,4,4,6,4} |
24 |
(5,7) |
D
|
False
|
|
sqc5767
|
|
P4222 |
93 |
tetragonal |
{4,4,4,6,4} |
12 |
(5,6) |
Topological data
Vertex degrees | {4,4,4,6,4} |
2D vertex symbol | {7.7.7.7}{7.7.7.7}{7.3.3.7}{7.3.3.7.3.3}{3.3.3.3} |
Dual tiling | ![Tiling details](/u_net_small_images/s22222a_FSG_23_3_1.png) |
D-symbol
Genus-3 version with t-tau cuts labelled
<23.3:208:118 3 5 7 9 11 13 92 16 18 20 22 24 26 144 29 31 33 35 37 39 131 42 44 46 48 50 52 170 55 57 59 61 63 65 157 68 70 72 74 76 78 196 81 83 85 87 89 91 94 96 98 100 102 104 183 107 109 111 113 115 117 120 122 124 126 128 130 133 135 137 139 141 143 146 148 150 152 154 156 159 161 163 165 167 169 172 174 176 178 180 182 185 187 189 191 193 195 198 200 202 204 206 208,2 4 6 124 10 13 12 15 17 19 98 23 26 25 28 30 32 150 36 39 38 41 43 45 137 49 52 51 54 56 58 176 62 65 64 67 69 71 163 75 78 77 80 82 84 202 88 91 90 93 95 97 101 104 103 106 108 110 189 114 117 116 119 121 123 127 130 129 132 134 136 140 143 142 145 147 149 153 156 155 158 160 162 166 169 168 171 173 175 179 182 181 184 186 188 192 195 194 197 199 201 205 208 207,27 15 16 30 31 8 9 36 37 64 65 40 43 44 21 22 49 50 77 78 41 42 34 35 90 91 47 48 116 117 79 93 94 82 83 60 61 88 89 105 119 120 108 109 73 74 114 115 132 133 86 87 131 134 135 99 100 140 141 168 169 145 146 112 113 144 147 148 125 126 153 154 181 182 138 139 194 195 151 152 207 208 183 171 172 186 187 164 165 192 193 196 199 200 177 178 205 206 197 198 190 191 203 204:7 3 7 3 7 3 7 3 7 3 7 3 7 3 3 7 3 3 3 3 3 3 3 3,4 4 4 6 4 4 6 4 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(2, 191): 'tau2*t3', (2, 184): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (2, 185): 'tau2*t3', (2, 186): 'tau2*t3', (2, 52): 't3*tau2', (2, 53): 't3', (2, 182): 't1*tau3*t2^-1', (2, 183): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (2, 48): 't1', (2, 49): 't1', (2, 178): 't2^-1*tau3*t1', (2, 179): 't2^-1*tau3*t1', (2, 172): 't2^-1*tau3*t1', (2, 173): 't2^-1*tau3*t1', (2, 40): 't1', (2, 169): 't3*tau2', (2, 170): 'tau1', (2, 171): 'tau1', (2, 166): 't3^-1*tau2^-1', (0, 26): 't1^-1', (2, 152): 'tau3^-1*t2', (2, 153): 'tau3^-1*t2', (2, 154): 't1', (2, 155): 't1', (2, 144): 'tau3^-1', (2, 145): 'tau3^-1', (2, 146): 'tau3^-1*t2', (2, 147): 'tau3^-1*t2', (2, 140): 'tau2*t3', (2, 139): 'tau2*t3', (2, 132): 'tau2', (2, 133): 'tau2*t3', (2, 134): 'tau2*t3', (2, 54): 't3', (2, 131): 'tau2', (2, 118): 't2^-1', (2, 119): 't2^-1', (2, 42): 't1', (0, 104): 't1^-1', (2, 104): 'tau3*t2^-1', (2, 50): 't1', (1, 32): 't1^-1', (2, 51): 't1', (1, 110): 't1^-1', (2, 26): 't1^-1', (2, 43): 't1', (2, 41): 't1'}