U-tiling: UQC658
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc440 |
*2224 |
(2,3,3) |
{8,3} |
{4.4.4.4.4.4.4.4}{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
|
|
sqc6506
|
|
I4/mmm |
139 |
tetragonal |
{8,3} |
12 |
(2,3) |
G
|
False
|
|
sqc11768
|
|
I41/acd |
142 |
tetragonal |
{3,8} |
24 |
(2,4) |
D
|
False
|
|
sqc1156
|
|
P42/mmc |
131 |
tetragonal |
{3,8} |
6 |
(2,3) |
Topological data
Vertex degrees | {8,3} |
2D vertex symbol | {4.4.4.4.4.4.4.4}{4.4.4} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<49.2:224:78 4 5 83 84 92 11 12 97 98 99 18 19 104 105 120 25 26 125 126 106 32 33 111 112 127 39 40 132 133 141 46 47 146 147 134 53 54 139 140 169 60 61 174 175 113 67 68 118 119 176 74 75 181 182 81 82 148 88 89 153 154 95 96 102 103 109 110 116 117 123 124 130 131 137 138 144 145 151 152 190 158 159 195 196 183 165 166 188 189 172 173 179 180 186 187 193 194 218 200 201 223 224 211 207 208 216 217 214 215 221 222,2 10 6 19 35 9 13 26 42 16 24 20 49 23 27 63 30 52 34 47 37 66 41 61 44 73 48 51 55 75 168 58 87 62 65 69 89 196 72 76 210 79 94 83 103 119 86 90 224 93 97 124 140 100 122 104 154 107 136 111 145 161 114 129 118 152 121 125 182 128 132 173 189 135 139 180 142 178 146 203 149 171 153 156 185 160 201 163 192 167 208 170 174 217 177 181 184 188 215 191 195 222 198 213 202 205 220 209 212 216 219 223,8 3 5 7 10 12 14 22 17 19 21 24 26 28 50 31 33 35 64 38 40 42 71 45 47 49 52 54 56 85 59 61 63 66 68 70 73 75 77 92 80 82 84 87 89 91 94 96 98 120 101 103 105 134 108 110 112 127 115 117 119 122 124 126 129 131 133 136 138 140 176 143 145 147 169 150 152 154 183 157 159 161 190 164 166 168 171 173 175 178 180 182 185 187 189 192 194 196 211 199 201 203 218 206 208 210 213 215 217 220 222 224:4 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 4,3 8 8 3 3 3 3 8 3 8 3 8 8 3 3 8 3 8 3 3 3 3 3 3> {(1, 88): 't2', (0, 146): 'tau2', (0, 223): 't2^-1*tau3*t1*tau2^-1', (2, 210): 'tau1^-1*t3', (1, 114): 't2^-1', (0, 173): 'tau3^-1', (0, 140): 'tau2', (0, 216): 't2*tau3^-1*t1^-1*tau2', (2, 28): 't3', (0, 19): 't1^-1', (0, 180): 'tau2', (1, 51): 't3^-1', (0, 145): 'tau2', (0, 174): 'tau3^-1', (0, 27): 't1^-1', (1, 191): 'tau1', (1, 172): 't2^-1', (0, 20): 't1^-1', (1, 207): 't3', (2, 63): 't2^-1', (0, 152): 'tau3^-1', (0, 14): 't1^-1', (2, 154): 'tau1', (1, 109): 't3', (0, 222): 't2^-1*tau3*t1*tau2^-1', (2, 126): 't2', (1, 65): 't2^-1', (1, 216): 't2', (0, 124): 't1', (2, 217): 'tau1*t3^-1', (2, 105): 't3', (2, 189): 'tau1', (1, 184): 'tau1^-1', (0, 147): 'tau3^-1', (1, 219): 'tau1*t3^-1', (1, 200): 't3^-1', (0, 217): 't2^-1*tau3*t1*tau2^-1', (1, 107): 't3', (0, 210): 't2*tau3^-1*t1^-1*tau2', (1, 90): 't2', (0, 181): 'tau2', (0, 175): 'tau2', (1, 212): 'tau1^-1*t3', (0, 168): 'tau3^-1', (0, 21): 't1^-1', (0, 215): 't2*tau3^-1*t1^-1*tau2', (0, 153): 'tau3^-1', (1, 74): 't3', }