U-tiling: UQC5899
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2356 |
*2626 |
(6,6,2) |
{6,4,4,3,12,4} |
{6.6.6.6.6.6}{6.6.6.6}{6.4.4.6}{... |
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
|
|
sqc9983
|
|
R-3m |
166 |
rhombohedral |
{6,4,4,3,12,4} |
20 |
(6,6) |
G
|
False
|
|
sqc9942
|
|
R-3 |
148 |
rhombohedral |
{6,4,4,3,12,4} |
20 |
(6,7) |
D
|
False
|
|
sqc9941
|
|
R-3m |
166 |
rhombohedral |
{6,4,4,3,12,4} |
20 |
(6,6) |
Topological data
Vertex degrees | {6,4,4,3,12,4} |
2D vertex symbol | {6.6.6.6.6.6}{6.6.6.6}{6.4.4.6}{6.4.4}{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
<36.1:168:2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168,127 3 5 132 9 14 11 13 113 17 19 118 23 28 25 27 155 31 33 160 37 42 39 41 141 45 47 146 51 56 53 55 71 59 61 76 65 70 67 69 73 75 79 84 81 83 99 87 89 104 93 98 95 97 101 103 107 112 109 111 115 117 121 126 123 125 129 131 135 140 137 139 143 145 149 154 151 153 157 159 163 168 165 167,141 142 17 18 7 8 23 24 39 40 139 140 155 156 21 22 53 54 125 126 99 100 59 60 35 36 65 66 167 168 85 86 73 74 49 50 79 80 153 154 127 128 63 64 95 96 83 84 113 114 77 78 109 110 115 116 91 92 121 122 111 112 129 130 105 106 135 136 119 120 151 152 133 134 165 166 157 158 147 148 163 164 161 162:6 4 6 4 6 4 6 4 6 4 4 6 4 4 4 4 4 4,6 4 4 3 12 4 3 4 4 4 3 4 4 3 3 4 4 3 4 4> {(2, 56): 't3', (2, 57): 't3', (1, 126): 'tau2', (1, 112): 'tau3^-1', (2, 54): 'tau3', (2, 55): 'tau3', (1, 117): 'tau3^-1', (2, 40): 'tau2^-1', (2, 41): 'tau2^-1', (2, 42): 't2', (2, 43): 't2', (1, 98): 'tau1^-1', (1, 103): 'tau1^-1', (2, 28): 't3', (2, 29): 't3', (2, 26): 'tau3', (2, 27): 'tau3', (2, 140): 't1', (2, 13): 'tau2^-1', (2, 14): 't1^-1', (2, 15): 't1^-1', (2, 12): 'tau2^-1', (2, 1): 't1^-1', (1, 56): 'tau1', (1, 61): 'tau1', (2, 112): 't2^-1', (2, 113): 't2^-1', (2, 110): 'tau1^-1', (1, 42): 'tau3', (1, 47): 'tau3', (1, 33): 'tau2^-1', (2, 97): 'tau1', (1, 154): 'tau2', (2, 82): 'tau1^-1', (2, 83): 'tau1^-1', (1, 131): 'tau2'}