U-tiling: UQC5883
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2347 |
*2244 |
(6,6,2) |
{4,4,3,8,4,4} |
{4.4.4.4}{4.5.5.4}{4.5.5}{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
|
|
sqc11900
|
|
P42/mmc |
131 |
tetragonal |
{4,4,3,8,4,4} |
28 |
(6,6) |
G
|
False
|
|
sqc11907
|
|
I-42d |
122 |
tetragonal |
{4,4,3,8,4,4} |
28 |
(6,7) |
D
|
False
|
|
sqc6672
|
|
P-42m |
111 |
tetragonal |
{4,4,3,8,4,4} |
14 |
(6,6) |
Topological data
Vertex degrees | {4,4,3,8,4,4} |
2D vertex symbol | {4.4.4.4}{4.5.5.4}{4.5.5}{5.5.5.5.5.5.5.5}{5.5.5.5}{5.5.5.5} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<63.1:224:2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168 170 172 174 176 178 180 182 184 186 188 190 192 194 196 198 200 202 204 206 208 210 212 214 216 218 220 222 224,85 3 88 7 14 9 11 13 99 17 102 21 28 23 25 27 43 31 46 35 42 37 39 41 45 49 56 51 53 55 71 59 74 63 70 65 67 69 73 77 84 79 81 83 87 91 98 93 95 97 101 105 112 107 109 111 197 115 200 119 126 121 123 125 211 129 214 133 140 135 137 139 155 143 158 147 154 149 151 153 157 161 168 163 165 167 183 171 186 175 182 177 179 181 185 189 196 191 193 195 199 203 210 205 207 209 213 217 224 219 221 223,29 30 5 6 35 36 23 24 123 124 97 98 43 44 19 20 49 50 137 138 111 112 33 34 65 66 151 152 55 56 47 48 79 80 165 166 85 86 61 62 91 92 179 180 83 84 99 100 75 76 105 106 193 194 89 90 107 108 207 208 103 104 221 222 141 142 117 118 147 148 135 136 209 210 155 156 131 132 161 162 223 224 145 146 177 178 167 168 159 160 191 192 197 198 173 174 203 204 195 196 211 212 187 188 217 218 201 202 219 220 215 216:4 5 4 5 4 5 5 4 5 5 5 5 4 5 4 5 4 5 5 4 5 5 5 5,4 4 3 8 4 4 4 3 4 3 4 4 4 4 3 4 4 4 4 4 3 8 4 3 3 4 3 4> {(2, 188): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (2, 189): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (2, 62): 't3', (2, 63): 't3', (2, 56): 't3', (2, 57): 't3', (1, 126): 't1^-1*tau2*t3', (2, 182): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (2, 183): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (2, 48): 't1', (2, 190): 't3*tau2*t1^-1', (2, 50): 't1*tau2^-1*t3^-1', (2, 51): 't1*tau2^-1*t3^-1', (2, 174): 'tau1', (2, 175): 'tau1', (2, 168): 'tau1', (2, 169): 'tau1', (2, 42): 't1', (2, 43): 't1', (1, 98): 't3^-1*tau2^-1*t1', (2, 160): 'tau3^-1', (2, 161): 'tau3^-1', (2, 163): 't1*tau2^-1*t3^-1', (2, 26): 't1^-1*tau2*t3', (2, 27): 't1^-1*tau2*t3', (2, 21): 't1^-1', (1, 213): 't3^-1*tau2^-1*t1', (2, 146): 't2^-1', (2, 147): 't2^-1', (2, 140): 't2^-1', (2, 141): 't2^-1', (2, 138): 't1^-1*tau2*t3', (2, 139): 't1^-1*tau2*t3', (2, 126): 'tau3', (2, 127): 'tau3', (1, 101): 't3^-1*tau2^-1*t1', (2, 105): 't3^-1*tau2^-1*t3^-1', (2, 98): 't3^-1*tau2^-1*t3^-1', (2, 76): 't3*tau2*t3', (2, 71): 't3*tau2*t3'}