U-tiling: UQC3323
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc371 |
*2224 |
(3,4,2) |
{4,4,4} |
{4.5.5.4}{5.5.5.5}{5.5.5.5} |
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
|
|
sqc6637
|
|
I4/mmm |
139 |
tetragonal |
{4,4,4} |
14 |
(3,4) |
G
|
False
|
|
sqc11811
|
|
I41/acd |
142 |
tetragonal |
{4,4,4} |
28 |
(3,4) |
D
|
False
|
|
sqc6458
|
|
P42/nnm |
134 |
tetragonal |
{4,4,4} |
14 |
(3,4) |
Topological data
Vertex degrees | {4,4,4} |
2D vertex symbol | {4.5.5.4}{5.5.5.5}{5.5.5.5} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<33.1:224:8 79 80 5 7 93 94 12 14 22 100 101 19 21 121 122 26 28 50 107 108 33 35 64 128 129 40 42 71 142 143 47 49 135 136 54 56 85 170 171 61 63 114 115 68 70 177 178 75 77 92 82 84 149 150 89 91 96 98 120 103 105 134 110 112 127 117 119 124 126 131 133 138 140 176 145 147 169 152 154 183 191 192 159 161 190 184 185 166 168 173 175 180 182 187 189 194 196 211 219 220 201 203 218 212 213 208 210 215 217 222 224,2 4 6 84 9 11 13 98 16 18 20 105 23 25 27 126 30 32 34 112 37 39 41 133 44 46 48 147 51 53 55 140 58 60 62 175 65 67 69 119 72 74 76 182 79 81 83 86 88 90 154 93 95 97 100 102 104 107 109 111 114 116 118 121 123 125 128 130 132 135 137 139 142 144 146 149 151 153 156 158 160 196 163 165 167 189 170 172 174 177 179 181 184 186 188 191 193 195 198 200 202 224 205 207 209 217 212 214 216 219 221 223,15 3 18 19 34 35 22 10 25 26 41 42 17 48 49 24 62 63 43 31 46 47 57 38 60 61 45 71 52 74 75 167 168 59 85 66 88 89 195 196 73 209 210 99 80 102 103 118 119 87 223 224 120 94 123 124 139 140 101 153 154 141 108 144 145 160 161 148 115 151 152 122 181 182 169 129 172 173 188 189 176 136 179 180 143 202 203 150 197 157 200 201 204 164 207 208 171 216 217 178 211 185 214 215 218 192 221 222 199 206 213 220:4 5 5 4 5 5 4 5 4 5 4 5 5 4 5 5 5 5 4 5 5 4 5 5,4 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> {(0, 58): 'tau3', (0, 57): 'tau3', (1, 125): 't1', (0, 63): 't2^-1', (0, 189): 'tau1', (2, 52): 't3^-1', (2, 53): 't3^-1', (0, 49): 't3^-1', (0, 182): 'tau1^-1', (2, 49): 't3^-1', (2, 172): 't2^-1', (0, 43): 'tau2^-1', (2, 174): 't2^-1', (2, 63): 't2^-1', (2, 168): 't2^-1', (0, 44): 'tau2^-1', (2, 171): 't2^-1', (2, 164): 't3^-1', (2, 161): 't3^-1', (2, 157): 't3', (2, 158): 't3', (1, 90): 'tau3', (2, 154): 't3', (2, 87): 't2', (0, 16): 't1^-1', (0, 217): 'tau1*t3^-1', (0, 22): 't1^-1', (0, 23): 't1^-1', (2, 140): 't3^-1', (2, 143): 't3^-1', (0, 15): 't1^-1', (0, 177): 'tau2', (0, 126): 't2', (1, 62): 'tau3', (1, 48): 'tau2^-1', (1, 181): 'tau2', (2, 109): 't3', (0, 105): 't3', (0, 219): 't2^-1*tau3*t1*tau2^-1', (2, 222): 't2^-1', (2, 223): 't2^-1', (2, 88): 't2', (1, 223): 't2^-1*tau3*t1*tau2^-1', (1, 104): 't1', (1, 216): 't2*tau3^-1*t1^-1*tau2', (2, 215): 't2', (0, 86): 'tau3', (0, 212): 't2*tau3^-1*t1^-1*tau2', (0, 85): 'tau3', (2, 207): 't3', (0, 211): 't2*tau3^-1*t1^-1*tau2', (0, 71): 'tau2^-1', (0, 196): 't3^-1*tau1', (0, 197): 'tau2*t1^-1*tau3^-1*t2'}