U-tiling: UQC49
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc25 |
*246 |
(2,1,1) |
{4,6} |
{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
|
|
sqc5432
|
she
|
Im-3m |
229 |
cubic |
{6,4} |
10 |
(2,1) |
|
G
|
False
|
|
sqc11070
|
gar
|
Ia-3d |
230 |
cubic |
{4,6} |
20 |
(2,1) |
|
D
|
False
|
|
sqc5433
|
toc
|
Pn-3m |
224 |
cubic |
{6,4} |
10 |
(2,1) |
Topological data
| Vertex degrees | {4,6} |
| 2D vertex symbol | {4.4.4.4}{4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<3.1:192:2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168 170 172 174 176 178 180 182 184 186 188 190 192,5 4 9 10 17 16 23 22 27 26 29 30 37 36 39 40 45 46 55 54 49 58 59 60 69 68 63 72 77 76 80 83 82 85 86 79 97 96 100 103 102 105 106 99 115 114 117 118 125 126 119 108 129 112 133 110 137 136 139 140 147 148 141 151 155 157 158 142 161 146 165 144 159 154 156 163 150 152 171 172 175 179 173 177 178 180 174 176 185 182 187 184 189 191 190 192,7 8 11 12 13 14 19 20 31 32 33 34 41 42 43 44 47 48 49 50 51 52 61 62 63 64 65 66 73 74 87 88 89 90 91 92 93 94 107 108 109 110 111 112 119 120 121 122 123 124 127 128 129 130 131 132 141 142 143 144 145 146 149 150 151 152 153 154 159 160 161 162 163 164 167 168 169 170 173 174 175 176 177 178 181 182 183 184 185 186 187 188 189 190 191 192:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,4 6 4 6 4 6 4 6 4 6 4 6 4 4 4 4 4 6 4 6> {(1, 121): 'tau3^-1', (2, 188): 't2', (1, 123): 'tau2^-1', (2, 191): 't2^-1', (2, 56): 't3', (2, 57): 't3', (2, 186): 't3^-1', (2, 189): 't2', (1, 113): 'tau2', (1, 115): 'tau2^-1', (2, 190): 't2^-1', (2, 174): 't1', (2, 47): 't1', (2, 165): 't3', (2, 60): 't1', (2, 160): 't1', (2, 161): 't1', (2, 35): 't1^-1', (2, 156): 't3^-1', (2, 157): 't3^-1', (1, 93): 'tau3', (2, 149): 't2^-1', (2, 137): 't1^-1', (1, 185): 'tau1', (1, 187): 'tau1^-1', (2, 127): 't3^-1', (1, 179): 'tau3', (1, 181): 'tau1^-1', (1, 169): 'tau1^-1', (2, 126): 't3^-1', (2, 110): 't2^-1', (2, 111): 't2^-1', (1, 175): 'tau2', (2, 100): 't2', (2, 24): 't1^-1', (1, 171): 'tau3^-1'}