U-tiling: UQC3338
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc452 |
*2224 |
(3,4,2) |
{4,8,4} |
{4.4.4.4}{4.3.3.4.4.3.3.4}{3.3.3.3} |
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
|
|
sqc6678
|
|
I4/mmm |
139 |
tetragonal |
{4,8,4} |
10 |
(3,4) |
|
G
|
False
|
|
sqc11859
|
|
I41/acd |
142 |
tetragonal |
{4,8,4} |
20 |
(3,4) |
|
D
|
False
|
|
sqc6679
|
|
P42/nnm |
134 |
tetragonal |
{8,4,4} |
10 |
(3,4) |
Topological data
| Vertex degrees | {4,8,4} |
| 2D vertex symbol | {4.4.4.4}{4.3.3.4.4.3.3.4}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<35.2:224:29 3 32 33 7 36 10 39 40 14 43 17 46 47 21 57 24 60 61 28 31 35 38 42 45 49 162 52 165 166 56 59 63 190 66 193 194 70 204 73 207 208 77 113 80 116 117 84 218 87 221 222 91 134 94 137 138 98 148 101 151 152 105 155 108 158 159 112 115 119 176 122 179 180 126 183 129 186 187 133 136 140 197 143 200 201 147 150 154 157 161 164 168 211 171 214 215 175 178 182 185 189 192 196 199 203 206 210 213 217 220 224,2 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 97 140 100 102 104 154 107 109 111 161 114 116 118 121 123 125 182 128 130 132 189 135 137 139 142 144 146 203 149 151 153 156 158 160 163 165 167 170 172 174 217 177 179 181 184 186 188 191 193 195 198 200 202 205 207 209 212 214 216 219 221 223,15 9 10 5 83 84 22 12 97 98 23 24 19 104 105 26 125 126 43 51 52 33 111 112 57 65 66 40 132 133 72 73 47 146 147 71 54 139 140 86 87 61 174 175 85 68 118 119 75 181 182 99 93 94 82 89 153 154 120 96 121 122 103 141 135 136 110 148 128 129 117 124 169 131 176 138 177 178 145 170 171 152 197 184 185 159 195 196 204 191 192 166 188 189 173 180 211 187 218 194 212 213 201 223 224 219 220 208 216 217 215 222:4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3,4 8 4 4 8 4 4 4 8 4 8 8 8 4 4 4 4 8 4 8> {(2, 190): 'tau1', (2, 191): 'tau1', (2, 184): 'tau1^-1', (0, 172): 't2^-1', (2, 180): 'tau2', (2, 181): 'tau2', (2, 183): 'tau1^-1', (2, 49): 't3^-1', (2, 50): 't3^-1', (2, 51): 't3^-1', (2, 173): 'tau3^-1', (2, 174): 'tau3^-1', (2, 63): 't2^-1', (2, 168): 't2^-1', (0, 168): 't2^-1', (2, 36): 't2', (2, 37): 't2', (2, 161): 't3^-1', (1, 90): 't2', (2, 152): 'tau3^-1', (2, 153): 'tau3^-1', (2, 154): 't3', (2, 27): 't1^-1', (2, 20): 't1^-1', (2, 145): 'tau2', (2, 146): 'tau2', (2, 19): 't1^-1', (2, 140): 't3^-1', (2, 134): 't3^-1', (2, 135): 't3^-1', (2, 128): 't2', (2, 127): 't2', (0, 88): 't2', (1, 174): 't2^-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, 26): 't1^-1', (2, 218): 'tau1*t3^-1', (2, 219): 'tau1*t3^-1', (2, 212): 'tau1^-1*t3', (2, 215): 't2*tau3^-1*t1^-1*tau2', (0, 87): 't2', (0, 84): 't2', (2, 211): 'tau1^-1*t3', (0, 171): 't2^-1'}