U-tiling: UQC5871
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc431 |
*2224 |
(3,4,2) |
{3,4,4} |
{4.6.6}{6.6.6.6}{6.6.6.6} |
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
|
|
sqc12004
|
|
P4/mmm |
123 |
tetragonal |
{3,3,4,4,4,4} |
32 |
(6,6) |
|
G
|
False
|
|
sqc11991
|
|
I4122 |
98 |
tetragonal |
{3,3,4,4,4,4} |
32 |
(6,7) |
|
D
|
False
|
|
sqc6460
|
|
P4222 |
93 |
tetragonal |
{4,4,3,3,4,4} |
16 |
(6,6) |
Topological data
| Vertex degrees | {3,3,4,4,4,4} |
| 2D vertex symbol | {4.6.6}{4.6.6}{6.6.6.6}{6.6.6.6}{6.6.6.6}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<30.4:224:2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168 170 172 174 176 178 180 182 184 186 188 190 192 194 196 198 200 202 204 206 208 210 212 214 216 218 220 222 224,29 16 5 14 7 9 11 13 43 19 28 21 23 25 27 44 33 42 35 37 39 41 47 56 49 51 53 55 85 100 61 70 63 65 67 69 113 128 75 84 77 79 81 83 142 89 98 91 93 95 97 141 103 112 105 107 109 111 156 117 126 119 121 123 125 155 131 140 133 135 137 139 145 154 147 149 151 153 159 168 161 163 165 167 197 184 173 182 175 177 179 181 211 187 196 189 191 193 195 212 201 210 203 205 207 209 215 224 217 219 221 223,3 4 33 34 133 134 65 66 39 40 27 28 17 18 47 48 105 106 79 80 53 54 31 32 161 162 93 94 55 56 45 46 147 148 121 122 59 60 89 90 189 190 95 96 111 112 73 74 117 118 175 176 123 124 139 140 87 88 217 218 153 154 101 102 145 146 177 178 151 152 115 116 203 204 167 168 129 130 159 160 191 192 165 166 143 144 205 206 157 158 219 220 171 172 201 202 207 208 195 196 185 186 215 216 221 222 199 200 223 224 213 214:4 6 6 6 6 4 6 4 6 6 6 6 6 6 6 4 6 6 6 6,3 3 4 4 4 4 3 4 4 4 3 4 4 3 3 4 4 3 3 4 4 3 3 4 3 3 4 3 3 4 3 3> {(2, 60): 't3*tau2', (2, 61): 't3*tau2', (1, 210): 'tau2^-1*t3^-1', (1, 127): 't2^-1', (2, 187): 't3*tau2', (1, 113): 'tau3', (2, 181): 'tau1^-1', (2, 52): 't1', (2, 55): 't1', (2, 178): 't3^-1*tau2^-1', (2, 179): 't3^-1*tau2^-1', (2, 172): 't2*tau3^-1*t1^-1', (2, 173): 't2*tau3^-1*t1^-1', (2, 164): 'tau3^-1*t2', (2, 165): 'tau3^-1*t2', (1, 99): 't3^-1', (2, 167): 'tau3^-1', (2, 160): 't1', (2, 161): 't1', (2, 162): 't1', (2, 163): 't1', (2, 166): 'tau3^-1', (2, 152): 'tau2', (2, 186): 't3*tau2', (2, 53): 't1', (2, 32): 't1^-1', (2, 150): 'tau2*t3', (2, 151): 'tau2*t3', (1, 85): 'tau2^-1', (1, 84): 'tau2^-1*t3^-1', (2, 180): 'tau1^-1', (2, 83): 't2', (2, 138): 't2^-1', (1, 112): 'tau3*t2^-1', (2, 5): 't1', (2, 54): 't1', (2, 116): 'tau3*t2^-1', (2, 117): 'tau3*t2^-1', (1, 183): 'tau1', (1, 43): 't1', (2, 111): 't3^-1', (2, 50): 't1', (2, 51): 't1', (2, 97): 'tau2^-1', (2, 220): 't1^-1*tau3^-1*t2', (2, 221): 't1^-1*tau3^-1*t2', (2, 222): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 223): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (1, 28): 't1^-1', (2, 110): 't3^-1', (1, 196): 't1*tau3*t2^-1', (2, 202): 't1', (2, 203): 't1', (1, 211): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1'}