U-tiling: UQC5428
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2070 |
*2244 |
(5,5,2) |
{4,16,3,4,4} |
{4.4.4.4}{4.4.4.4.4.4.4.4.4.4.4.... |
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
|
True
|
|
sqc3923
|
|
P4/mmm |
123 |
tetragonal |
{3,4,4,14} |
9 |
(4,5) |
|
G
|
False
|
|
sqc10732
|
|
I41/a |
88 |
tetragonal |
{4,16,3,4,4} |
20 |
(5,6) |
|
D
|
False
|
|
sqc10752
|
|
I41/amd |
141 |
tetragonal |
{4,16,3,4,4} |
20 |
(5,5) |
Topological data
| Vertex degrees | {4,16,3,4,4} |
| 2D vertex symbol | {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} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<43.1:192:2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168 170 172 174 176 178 180 182 184 186 188 190 192,73 3 76 7 12 9 11 85 15 88 19 24 21 23 97 27 100 31 36 33 35 121 39 124 43 48 45 47 133 51 136 55 60 57 59 109 63 112 67 72 69 71 75 79 84 81 83 87 91 96 93 95 99 103 108 105 107 111 115 120 117 119 123 127 132 129 131 135 139 144 141 143 181 147 184 151 156 153 155 169 159 172 163 168 165 167 171 175 180 177 179 183 187 192 189 191,25 26 5 6 79 80 21 22 83 84 37 38 17 18 91 92 95 96 29 30 103 104 57 58 107 108 41 42 127 128 69 70 131 132 157 158 53 54 139 140 143 144 181 182 65 66 115 116 119 120 109 110 77 78 93 94 133 134 89 90 145 146 101 102 141 142 113 114 129 130 169 170 125 126 137 138 149 150 187 188 177 178 191 192 161 162 175 176 189 190 179 180 173 174 185 186:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,4 16 3 4 4 4 16 3 3 4 4 3 4 4 3 3 3 4 4 3> {(2, 188): 'tau1', (2, 189): 'tau1', (2, 56): 't3^-1', (2, 57): 't3^-1', (2, 186): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 187): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 54): 't3^-1*tau2^-1', (2, 55): 't3^-1*tau2^-1', (2, 176): 'tau1^-1', (2, 177): 'tau1^-1', (2, 44): 't2', (2, 45): 't2', (2, 174): 't2*tau3^-1*t1^-1*tau2*t3', (2, 175): 't2*tau3^-1*t1^-1*tau2*t3', (2, 42): 'tau3*t2^-1', (2, 43): 'tau3*t2^-1', (2, 30): 'tau2^-1*t3^-1', (2, 31): 'tau2^-1*t3^-1', (2, 18): 't1^-1', (2, 19): 't1^-1', (2, 140): 't3^-1', (2, 141): 't3^-1', (2, 6): 't1^-1', (2, 7): 't1^-1', (2, 128): 't2', (2, 129): 't2', (2, 114): 'tau3^-1*t2', (2, 115): 'tau3^-1*t2'}