U-tiling: UQC465
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc233 |
*2224 |
(2,2,3) |
{8,4} |
{4.3.4.3.4.3.4.3}{3.4.3.4} |
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
|
|
sqc5129
|
|
I4/mmm |
139 |
tetragonal |
{4,8} |
8 |
(2,2) |
|
G
|
False
|
|
sqc10761
|
|
I41/acd |
142 |
tetragonal |
{4,8} |
16 |
(2,3) |
|
D
|
False
|
|
sqc739
|
|
P42/mmc |
131 |
tetragonal |
{4,8} |
4 |
(2,2) |
Topological data
| Vertex degrees | {8,4} |
| 2D vertex symbol | {4.3.4.3.4.3.4.3}{3.4.3.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<32.2:192:3 4 71 72 9 10 83 84 15 16 89 90 21 22 107 108 27 28 95 96 33 34 113 114 39 40 125 126 45 46 119 120 51 52 149 150 57 58 101 102 63 64 155 156 69 70 75 76 131 132 81 82 87 88 93 94 99 100 105 106 111 112 117 118 123 124 129 130 135 136 167 168 141 142 161 162 147 148 153 154 159 160 165 166 171 172 191 192 177 178 185 186 183 184 189 190,7 68 15 5 30 80 21 11 36 19 86 17 42 104 23 54 43 92 39 29 55 110 51 35 61 122 41 116 63 47 144 73 146 53 98 75 59 168 152 65 180 79 87 71 102 128 77 192 105 83 120 103 89 132 115 123 95 138 109 129 101 107 156 147 113 162 153 119 151 125 174 145 131 157 164 171 137 163 158 177 143 149 186 155 183 161 189 167 181 188 173 187 182 179 185 191,2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168 170 172 174 176 178 180 182 184 186 188 190 192:4 3 4 3 4 3 4 3 4 4 3 4 3 3 3 3 3 3 4 3 4 4 4 3 4 3 3 3,4 8 8 4 4 4 4 8 4 8 8 8 8 8 4 4> {(1, 162): 'tau1', (0, 16): 't1^-1', (1, 187): 't2^-1*tau3*t1*tau2^-1', (1, 54): 't2^-1', (1, 121): 'tau2', (0, 41): 'tau2^-1', (1, 85): 't1', (1, 77): 't2', (0, 53): 'tau3', (0, 190): 't2^-1*tau3*t1*tau2^-1', (1, 110): 't2', (1, 49): 'tau3', (1, 114): 't3^-1', (1, 170): 't3^-1', (0, 22): 't1^-1', (0, 131): 'tau3^-1', (0, 76): 'tau3', (0, 185): 't2*tau3^-1*t1^-1*tau2', (1, 103): 't1', (1, 42): 't3^-1', (1, 62): 't3', (0, 17): 't1^-1', (0, 154): 'tau2', (1, 56): 't2^-1', (1, 140): 't3^-1', (0, 191): 't2^-1*tau3*t1*tau2^-1', (0, 40): 'tau2^-1', (0, 52): 'tau3', (1, 175): 'tau2^-1*t1*tau3*t2^-1', (0, 23): 't1^-1', (1, 122): 't3^-1', (1, 185): 't2', (1, 61): 'tau2^-1', (1, 156): 'tau1^-1', (0, 184): 't2*tau3^-1*t1^-1*tau2', (1, 96): 't2^-1', (0, 155): 'tau2', (1, 174): 't3*tau1^-1', (1, 180): 'tau1^-1*t3', (1, 127): 'tau3^-1', }