U-tiling: UQC5699
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2253 |
*2626 |
(5,6,2) |
{12,4,4,3,12} |
{7.7.7.7.7.7.7.7.7.7.7.7}{7.7.7.... |
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
|
|
sqc9306
|
|
R-3m |
166 |
rhombohedral |
{12,4,4,3,12} |
17 |
(5,6) |
|
G
|
False
|
|
sqc9303
|
|
R-3m |
166 |
rhombohedral |
{12,4,4,3,12} |
17 |
(5,6) |
|
D
|
False
|
|
sqc9309
|
|
R-3m |
166 |
rhombohedral |
{12,4,4,3,12} |
17 |
(5,6) |
Topological data
| Vertex degrees | {12,4,4,3,12} |
| 2D vertex symbol | {7.7.7.7.7.7.7.7.7.7.7.7}{7.7.7.7}{7.3.3.7}{7.3.3}{3.3.3.3.3.3.3.3.3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<31.1:156:118 3 5 7 9 11 13 105 16 18 20 22 24 26 144 29 31 33 35 37 39 131 42 44 46 48 50 52 66 55 57 59 61 63 65 68 70 72 74 76 78 92 81 83 85 87 89 91 94 96 98 100 102 104 107 109 111 113 115 117 120 122 124 126 128 130 133 135 137 139 141 143 146 148 150 152 154 156,2 4 6 124 10 13 12 15 17 19 111 23 26 25 28 30 32 150 36 39 38 41 43 45 137 49 52 51 54 56 58 72 62 65 64 67 69 71 75 78 77 80 82 84 98 88 91 90 93 95 97 101 104 103 106 108 110 114 117 116 119 121 123 127 130 129 132 134 136 140 143 142 145 147 149 153 156 155,27 15 16 134 135 8 9 140 141 129 130 40 147 148 21 22 153 154 116 117 54 55 95 96 34 35 101 102 155 156 67 68 82 83 47 48 88 89 142 143 79 121 122 60 61 127 128 77 78 92 108 109 73 74 114 115 106 107 86 87 103 104 119 120 99 100 131 112 113 144 125 126 145 146 138 139 151 152:7 3 7 3 7 3 7 3 7 3 3 7 3 3 3 3 3 3,12 4 4 3 12 4 3 4 4 3 4 4 3 4 3 4 3> {(2, 61): 't3', (1, 123): 'tau2', (2, 63): 'tau1', (2, 56): 't3', (2, 55): 't3', (2, 48): 't2', (2, 62): 't3', (0, 52): 'tau1', (2, 36): 't3', (2, 42): 't2', (1, 110): 'tau3^-1', (1, 97): 'tau1^-1', (0, 39): 'tau3', (2, 35): 't3', (0, 26): 'tau2^-1', (2, 29): 't3', (2, 30): 't3', (2, 152): 't1', (2, 153): 't1', (2, 154): 'tau2', (2, 155): 'tau2', (2, 146): 't1', (2, 147): 't1', (2, 140): 't1', (2, 141): 'tau3^-1', (2, 142): 'tau3^-1', (2, 139): 't1', (2, 133): 't1', (2, 134): 't1', (2, 128): 'tau2', (2, 129): 'tau2', (1, 71): 'tau1^-1', (2, 43): 't2', (2, 113): 't2^-1', (2, 114): 't2^-1', (0, 117): 'tau2', (2, 108): 't2^-1', (0, 104): 'tau3^-1', (2, 24): 'tau3', (1, 45): 'tau3', (2, 107): 't2^-1', (1, 32): 'tau2^-1', (2, 102): 'tau1^-1', (2, 103): 'tau1^-1', (2, 25): 'tau3', (0, 91): 'tau1^-1', (2, 49): 't2', (2, 64): 'tau1'}