U-tiling: UQC5774
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2337 |
*22222 |
(5,7,2) |
{4,4,4,4,4} |
{6.6.6.6}{6.4.4.6}{6.6.4.4}{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
|
|
sqc11964
|
|
P4/mmm |
123 |
tetragonal |
{4,4,4,4,4} |
28 |
(5,7) |
G
|
False
|
|
sqc11965
|
|
I4122 |
98 |
tetragonal |
{4,4,4,4,4} |
28 |
(5,8) |
D
|
False
|
|
sqc6340
|
|
P4222 |
93 |
tetragonal |
{4,4,4,4,4} |
14 |
(5,7) |
Topological data
Vertex degrees | {4,4,4,4,4} |
2D vertex symbol | {6.6.6.6}{6.4.4.6}{6.6.4.4}{4.4.4.4}{4.4.4.4} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<28.4:224:29 3 5 7 9 11 13 42 43 17 19 21 23 25 27 56 31 33 35 37 39 41 45 47 49 51 53 55 85 59 61 63 65 67 69 98 113 73 75 77 79 81 83 126 87 89 91 93 95 97 141 101 103 105 107 109 111 154 115 117 119 121 123 125 155 129 131 133 135 137 139 168 143 145 147 149 151 153 157 159 161 163 165 167 197 171 173 175 177 179 181 210 211 185 187 189 191 193 195 224 199 201 203 205 207 209 213 215 217 219 221 223,2 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 30 31 6 7 36 37 66 67 138 139 140 44 45 20 21 50 51 80 81 110 111 112 43 34 35 94 95 166 167 168 48 49 122 123 152 153 154 99 86 87 62 63 92 93 194 195 196 127 114 115 76 77 120 121 180 181 182 141 90 91 222 223 224 142 143 104 105 148 149 178 179 155 118 119 208 209 210 156 157 132 133 162 163 192 193 146 147 206 207 160 161 220 221 183 198 199 174 175 204 205 212 213 188 189 218 219 211 202 203 216 217:6 4 6 4 4 4 6 4 6 4 4 6 4 4 6 4 4 4 6 4 6 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 4 4 4> {(2, 189): 't2^-1*tau3*t1', (0, 56): 't3*tau2', (2, 184): 't2^-1*tau3*t1', (2, 42): 't1', (2, 52): 't1', (2, 182): 'tau1', (2, 183): 't2^-1*tau3*t1', (2, 176): 't3^-1*tau2^-1', (2, 190): 't2^-1*tau3*t1', (2, 50): 't1', (2, 51): 't1', (2, 44): 't1', (2, 56): 't3', (2, 175): 't3^-1*tau2^-1', (2, 169): 't3^-1*tau2^-1', (2, 170): 't3^-1*tau2^-1', (2, 43): 't1', (2, 164): 't1', (2, 165): 't1', (2, 166): 't1', (2, 167): 't1', (2, 161): 'tau3^-1*t2', (2, 162): 'tau3^-1*t2', (2, 163): 't1', (2, 156): 'tau3^-1*t2', (0, 28): 't1^-1', (2, 155): 'tau3^-1*t2', (2, 148): 'tau2*t3', (2, 147): 'tau2*t3', (2, 140): 'tau2', (2, 141): 'tau2*t3', (2, 142): 'tau2*t3', (0, 13): 't1', (2, 126): 't2^-1', (0, 125): 'tau3*t2^-1', (0, 182): 't3*tau2', (0, 112): 'tau3*t2^-1', (2, 112): 'tau3', (2, 49): 't1', (0, 97): 'tau2^-1*t3^-1', (0, 168): 't2*tau3^-1*t1^-1', (0, 209): 't1*tau3*t2^-1', (2, 208): 't1', (2, 209): 't1', (2, 207): 't1', (2, 196): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (0, 195): 't3*tau2'}