U-tiling: UQC6053
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc915 |
2*26 |
(3,4,1) |
{4,4,12} |
{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
|
|
sqc5391
|
|
R-3m |
166 |
rhombohedral |
{4,4,12} |
10 |
(3,4) |
|
G
|
False
|
|
sqc10751
|
|
R-3c |
167 |
rhombohedral |
{4,4,12} |
20 |
(3,5) |
|
D
|
False
|
|
sqc5019
|
|
R-3m |
166 |
rhombohedral |
{4,4,12} |
10 |
(3,4) |
Topological data
| Vertex degrees | {4,4,12,4,4,12} |
| 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}{4.4.4.4.4.4.4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<7.1:192:2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168 170 172 174 176 178 180 182 184 186 188 190 192,3 8 5 7 11 16 13 15 19 24 21 23 27 32 29 31 35 40 37 39 43 48 45 47 51 56 53 55 59 64 61 63 67 72 69 71 75 80 77 79 83 88 85 87 91 96 93 95 99 104 101 103 107 112 109 111 115 120 117 119 123 128 125 127 131 136 133 135 139 144 141 143 147 152 149 151 155 160 157 159 163 168 165 167 171 176 173 175 179 184 181 183 187 192 189 191,145 146 35 36 21 22 9 10 27 28 173 174 159 160 129 130 51 52 25 26 189 190 143 144 177 178 69 70 41 42 75 76 125 126 191 192 161 162 85 86 57 58 91 92 109 110 175 176 81 82 99 100 73 74 157 158 95 96 115 116 89 90 141 142 113 114 133 134 105 106 139 140 127 128 149 150 121 122 155 156 163 164 137 138 179 180 153 154 181 182 169 170 187 188 185 186:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,4 4 12 4 4 12 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(2, 60): 't2', (2, 61): 't2', (2, 62): 'tau3', (2, 63): 'tau3', (2, 189): 't1', (2, 144): 'tau2', (2, 48): 'tau3', (2, 49): 'tau3', (2, 17): 'tau3', (2, 44): 't3', (2, 45): 't3', (2, 191): 'tau2', (2, 188): 't1', (2, 32): 'tau2^-1', (2, 33): 'tau2^-1', (2, 156): 't3^-1', (2, 140): 't2^-1', (2, 30): 'tau3', (2, 31): 'tau3', (2, 13): 't1^-1', (2, 16): 'tau3', (2, 145): 'tau2', (2, 12): 't1^-1', (2, 141): 't2^-1', (2, 15): 'tau2^-1', (2, 127): 'tau1^-1', (2, 112): 'tau1^-1', (2, 113): 'tau1^-1', (2, 190): 'tau2', (2, 110): 'tau1', (2, 94): 'tau1^-1', (2, 80): 'tau1^-1', (2, 81): 'tau1^-1', (2, 77): 't3', (2, 79): 'tau1', (2, 158): 'tau2'}