U-tiling: UQC6044
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc858 |
*2(12)(12) |
(4,4,2) |
{4,12,4,12} |
{5.5.3.3}{3.3.3.3.3.3.3.3.3.3.3.... |
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
|
|
sqc10869
|
|
R-3m |
166 |
rhombohedral |
{12,4,4,4,12,4} |
20 |
(6,7) |
|
G
|
False
|
|
sqc10718
|
|
R-3 |
148 |
rhombohedral |
{12,4,4,4,12,4} |
20 |
(6,8) |
|
D
|
False
|
|
sqc10869
|
|
R-3m |
166 |
rhombohedral |
{12,4,4,4,12,4} |
20 |
(6,7) |
Topological data
| Vertex degrees | {12,4,4,4,12,4} |
| 2D vertex symbol | {3.3.3.3.3.3.3.3.3.3.3.3}{3.5.5.3}{3.5.5.3}{5.5.5.5}{5.5.5.5.5.5.5.5.5.5.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<6.1:192:2 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 6 5 9 16 11 13 15 19 22 21 25 32 27 29 31 35 38 37 41 48 43 45 47 51 54 53 57 64 59 61 63 67 70 69 73 80 75 77 79 83 86 85 89 96 91 93 95 99 102 101 105 112 107 109 111 115 118 117 121 128 123 125 127 131 134 133 137 144 139 141 143 147 150 149 153 160 155 157 159 163 166 165 169 176 171 173 175 179 182 181 185 192 187 189 191,33 34 19 20 7 8 25 26 171 172 157 158 47 48 49 50 23 24 187 188 141 142 63 64 67 68 39 40 73 74 123 124 189 190 83 84 55 56 89 90 107 108 173 174 97 98 71 72 155 156 93 94 111 112 113 114 87 88 139 140 127 128 131 132 103 104 137 138 125 126 147 148 119 120 153 154 161 162 135 136 175 176 177 178 151 152 191 192 179 180 167 168 185 186 183 184:3 5 3 5 3 5 3 5 3 5 3 5 3 5 3 5 3 5 3 5 3 5 3 5,12 4 4 4 12 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(2, 60): 'tau3', (2, 61): 'tau3', (2, 170): 't1', (2, 58): 't2', (2, 59): 't2', (2, 171): 't1', (2, 44): 'tau2^-1', (2, 42): 't3', (2, 43): 't3', (2, 28): 'tau3', (2, 29): 'tau3', (2, 186): 't1', (2, 154): 't3^-1', (2, 155): 't3^-1', (2, 12): 'tau2^-1', (2, 13): 'tau2^-1', (2, 189): 'tau2', (2, 138): 't2^-1', (2, 139): 't2^-1', (2, 124): 'tau1^-1', (2, 125): 'tau1^-1', (2, 92): 'tau1^-1', (2, 27): 't1^-1', (2, 77): 'tau1'}