U-tiling: UQC5888
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc2349 |
*2626 |
(6,6,2) |
{6,4,3,4,12,4} |
{4.4.4.4.4.4}{4.5.5.4}{4.5.5}{5.... |
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
|
|
sqc9962
|
|
R-3m |
166 |
rhombohedral |
{6,4,3,4,12,4} |
20 |
(6,6) |
G
|
False
|
|
sqc9938
|
|
R-3 |
148 |
rhombohedral |
{6,4,3,4,12,4} |
20 |
(6,7) |
D
|
False
|
|
sqc9963
|
|
R-3m |
166 |
rhombohedral |
{6,4,3,4,12,4} |
20 |
(6,6) |
Topological data
Vertex degrees | {6,4,3,4,12,4} |
2D vertex symbol | {4.4.4.4.4.4}{4.5.5.4}{4.5.5}{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
<35.2:168:2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168,29 3 32 7 14 9 11 13 43 17 46 21 28 23 25 27 31 35 42 37 39 41 45 49 56 51 53 55 85 59 88 63 70 65 67 69 99 73 102 77 84 79 81 83 87 91 98 93 95 97 101 105 112 107 109 111 141 115 144 119 126 121 123 125 155 129 158 133 140 135 137 139 143 147 154 149 151 153 157 161 168 163 165 167,15 16 5 6 21 22 149 150 137 138 41 42 19 20 163 164 123 124 55 56 57 58 33 34 63 64 107 108 165 166 71 72 47 48 77 78 93 94 151 152 61 62 135 136 81 82 97 98 75 76 121 122 111 112 113 114 89 90 119 120 109 110 127 128 103 104 133 134 117 118 153 154 131 132 167 168 155 156 145 146 161 162 159 160:4 5 4 5 5 5 4 5 4 5 5 5 4 5 4 5 5 5,6 4 3 4 12 4 3 4 4 4 4 4 3 4 3 4 4 3 3 4> {(2, 52): 'tau3', (2, 53): 'tau3', (2, 50): 't2', (2, 51): 't2', (2, 36): 't3', (2, 37): 't3', (2, 164): 'tau2', (2, 165): 'tau2', (2, 162): 't1', (2, 24): 'tau3', (2, 25): 'tau3', (2, 148): 't1', (2, 149): 't1', (2, 23): 't1^-1', (2, 10): 'tau2^-1', (2, 11): 'tau2^-1', (2, 134): 't3^-1', (2, 135): 't3^-1', (2, 120): 't2^-1', (2, 121): 't2^-1', (2, 108): 'tau1^-1', (2, 109): 'tau1^-1', (2, 80): 'tau1^-1', (2, 81): 'tau1^-1'}