U-tiling: UQC3324
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
|
|
sqc6929
|
|
I4/mmm |
139 |
tetragonal |
{4,4,4} |
14 |
(3,4) |
G
|
False
|
|
sqc12000
|
|
I41/acd |
142 |
tetragonal |
{4,4,4} |
28 |
(3,4) |
D
|
False
|
|
sqc6926
|
|
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
<33.2:224:15 30 31 5 7 22 37 38 12 14 44 45 19 21 58 59 26 28 43 33 35 57 40 42 47 49 71 163 164 54 56 61 63 85 191 192 68 70 205 206 75 77 99 114 115 82 84 219 220 89 91 120 135 136 96 98 149 150 103 105 141 156 157 110 112 148 117 119 177 178 124 126 169 184 185 131 133 176 138 140 198 199 145 147 152 154 197 159 161 204 166 168 212 213 173 175 180 182 211 187 189 218 194 196 201 203 208 210 215 217 222 224,2 4 6 35 9 11 13 42 16 18 20 49 23 25 27 63 30 32 34 37 39 41 44 46 48 51 53 55 168 58 60 62 65 67 69 196 72 74 76 210 79 81 83 119 86 88 90 224 93 95 97 140 100 102 104 154 107 109 111 161 114 116 118 121 123 125 182 128 130 132 189 135 137 139 142 144 146 203 149 151 153 156 158 160 163 165 167 170 172 174 217 177 179 181 184 186 188 191 193 195 198 200 202 205 207 209 212 214 216 219 221 223,8 3 11 12 83 84 10 97 98 22 17 25 26 104 105 24 125 126 50 31 53 54 111 112 64 38 67 68 132 133 71 45 74 75 146 147 52 139 140 85 59 88 89 174 175 66 118 119 73 181 182 92 80 95 96 87 153 154 94 120 101 123 124 134 108 137 138 127 115 130 131 122 129 136 176 143 179 180 169 150 172 173 183 157 186 187 195 196 190 164 193 194 188 189 171 178 185 192 211 199 214 215 223 224 218 206 221 222 216 217 213 220:4 5 4 5 5 5 4 5 4 5 5 4 5 5 4 5 5 4 5 5 4 5 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> {(2, 189): 'tau1', (2, 63): 't2^-1', (0, 63): 't2^-1', (2, 186): 'tau1^-1', (2, 180): 'tau2', (2, 181): 'tau2', (2, 182): 'tau1^-1', (0, 49): 't3^-1', (2, 49): 't3^-1', (0, 170): 't2^-1', (2, 173): 'tau3^-1', (2, 174): 'tau3^-1', (2, 164): 'tau1^-1', (2, 165): 'tau1^-1', (2, 38): 't2', (2, 39): 't2', (2, 185): 'tau1^-1', (1, 216): 't2', (1, 90): 't2', (2, 152): 'tau3^-1', (2, 153): 'tau3^-1', (2, 26): 't1^-1', (2, 27): 't1^-1', (2, 20): 't1^-1', (2, 145): 'tau2', (2, 146): 'tau2', (2, 19): 't1^-1', (2, 52): 't3^-1', (2, 136): 't3^-1', (2, 137): 't3^-1', (2, 53): 't3^-1', (2, 133): 't3^-1', (2, 129): 't2', (2, 130): 't2', (2, 126): 't2', (0, 126): 't2', (0, 105): 't3', (2, 220): 'tau1*t3^-1', (2, 221): 'tau1*t3^-1', (2, 222): 't2^-1*tau3*t1*tau2^-1', (2, 223): 't2^-1*tau3*t1*tau2^-1', (2, 216): 't2*tau3^-1*t1^-1*tau2', (2, 217): 'tau1*t3^-1', (2, 213): 'tau1^-1*t3', (2, 214): 'tau1^-1*t3', (2, 215): 't2*tau3^-1*t1^-1*tau2', (0, 86): 't2', (0, 85): 't2', (0, 203): 't3', (0, 211): 't2', (2, 196): 't3^-1*tau1', (0, 196): 't3^-1'}