U-tiling: UQC5700
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
|
|
sqc9309
|
|
R-3m |
166 |
rhombohedral |
{12,4,4,3,12} |
17 |
(5,6) |
|
G
|
False
|
|
sqc9310
|
|
R-3m |
166 |
rhombohedral |
{12,4,4,3,12} |
17 |
(5,6) |
|
D
|
False
|
|
sqc9306
|
|
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
<31.2:156:27 3 5 7 9 11 13 40 16 18 20 22 24 26 29 31 33 35 37 39 42 44 46 48 50 52 79 55 57 59 61 63 65 92 68 70 72 74 76 78 81 83 85 87 89 91 94 96 98 100 102 104 131 107 109 111 113 115 117 144 120 122 124 126 128 130 133 135 137 139 141 143 146 148 150 152 154 156,2 4 6 33 10 13 12 15 17 19 46 23 26 25 28 30 32 36 39 38 41 43 45 49 52 51 54 56 58 85 62 65 64 67 69 71 98 75 78 77 80 82 84 88 91 90 93 95 97 101 104 103 106 108 110 137 114 117 116 119 121 123 150 127 130 129 132 134 136 140 143 142 145 147 149 153 156 155,118 132 133 17 18 8 9 23 24 38 39 105 145 146 21 22 51 52 144 93 94 56 57 34 35 62 63 131 80 81 69 70 47 48 75 76 66 119 120 60 61 90 91 106 107 73 74 103 104 92 108 109 86 87 114 115 121 122 99 100 127 128 112 113 142 143 125 126 155 156 147 148 138 139 153 154 151 152:7 3 7 3 3 3 7 3 7 3 3 3 7 3 7 3 3 3,12 4 4 3 12 3 4 4 4 4 3 3 4 4 3 3 4> {(2, 28): 't3', (2, 27): 't3', (2, 52): 'tau1', (2, 53): 't3', (2, 54): 't3', (2, 91): 'tau1^-1', (2, 144): 't1', (2, 145): 't1', (2, 13): 'tau3', (2, 143): 'tau2', (2, 40): 't2', (2, 41): 't2', (2, 106): 't2^-1', (2, 132): 't1', (2, 39): 'tau3', (2, 0): 'tau2^-1', (2, 1): 't1^-1', (2, 105): 't2^-1'}