U-tiling: UQC5427
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc97 |
*344 |
(3,2,1) |
{3,8,4} |
{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
|
False
|
|
sqc10927
|
|
P4/nmm |
129 |
tetragonal |
{4,8,3,4,8} |
20 |
(5,5) |
|
G
|
False
|
|
sqc10923
|
|
I41/a |
88 |
tetragonal |
{4,8,3,4,8} |
20 |
(5,6) |
|
D
|
False
|
|
sqc10926
|
|
I41/amd |
141 |
tetragonal |
{4,8,3,4,8} |
20 |
(5,5) |
Topological data
| Vertex degrees | {4,8,3,4,8} |
| 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} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<42.1:192:2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168 170 172 174 176 178 180 182 184 186 188 190 192,25 3 28 7 12 9 11 37 15 40 19 24 21 23 27 31 36 33 35 39 43 48 45 47 157 51 160 55 60 57 59 181 63 184 67 72 69 71 109 75 112 79 84 81 83 133 87 136 91 96 93 95 145 99 148 103 108 105 107 111 115 120 117 119 169 123 172 127 132 129 131 135 139 144 141 143 147 151 156 153 155 159 163 168 165 167 171 175 180 177 179 183 187 192 189 191,73 74 5 6 19 20 81 82 35 36 85 86 17 18 93 94 47 48 97 98 29 30 55 56 105 106 121 122 41 42 67 68 129 130 133 134 53 54 141 142 167 168 109 110 65 66 117 118 191 192 77 78 91 92 119 120 89 90 143 144 101 102 139 140 155 156 113 114 127 128 125 126 179 180 137 138 181 182 149 150 175 176 189 190 169 170 161 162 187 188 177 178 173 174 185 186:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,4 8 3 4 8 4 3 8 8 4 8 4 3 3 3 3 3 3 8 4> {(2, 60): 't2^-1*tau3', (2, 61): 't2^-1*tau3', (2, 186): 'tau1', (2, 187): 'tau1', (2, 180): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 181): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 54): 't3^-1', (2, 55): 't3^-1', (2, 48): 't3^-1*tau2^-1', (2, 49): 't3^-1*tau2^-1', (2, 174): 'tau1^-1', (2, 175): 'tau1^-1', (2, 168): 't2*tau3^-1*t1^-1*tau2*t3', (2, 169): 't2*tau3^-1*t1^-1*tau2*t3', (2, 42): 't2', (2, 43): 't2', (2, 36): 'tau3*t2^-1', (2, 37): 'tau3*t2^-1', (2, 24): 'tau2^-1*t3^-1', (2, 25): 'tau2^-1*t3^-1', (2, 12): 't1^-1', (2, 13): 't1^-1', (2, 138): 't3^-1', (2, 139): 't3^-1', (2, 0): 't1^-1', (2, 1): 't1^-1', (2, 126): 't2', (2, 127): 't2'}