U-tiling: UQC5642
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2237 |
*2626 |
(5,6,2) |
{12,4,3,4,12} |
{5.5.5.5.5.5.5.5.5.5.5.5}{5.4.4.... |
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
|
|
sqc9312
|
|
R-3m |
166 |
rhombohedral |
{12,4,3,4,12} |
17 |
(5,6) |
|
G
|
False
|
|
sqc9311
|
|
R-3 |
148 |
rhombohedral |
{12,4,3,4,12} |
17 |
(5,7) |
|
D
|
False
|
|
sqc9307
|
|
R-3m |
166 |
rhombohedral |
{12,4,3,4,12} |
17 |
(5,6) |
Topological data
| Vertex degrees | {12,4,3,4,12} |
| 2D vertex symbol | {5.5.5.5.5.5.5.5.5.5.5.5}{5.4.4.5}{5.4.4}{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
<30.2:156:27 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 31 8 13 10 12 15 17 44 21 26 23 25 28 30 34 39 36 38 41 43 47 52 49 51 54 56 83 60 65 62 64 67 69 96 73 78 75 77 80 82 86 91 88 90 93 95 99 104 101 103 106 108 135 112 117 114 116 119 121 148 125 130 127 129 132 134 138 143 140 142 145 147 151 156 153 155,118 132 133 6 7 138 139 23 24 38 39 105 145 146 19 20 151 152 51 52 144 93 94 32 33 99 100 62 63 131 80 81 45 46 86 87 75 76 66 119 120 58 59 125 126 90 91 106 107 71 72 112 113 103 104 92 84 85 114 115 97 98 127 128 110 111 142 143 123 124 155 156 136 137 153 154 149 150:5 4 5 4 4 4 5 4 5 4 4 4 5 4 5 4 4 4,12 4 3 4 12 4 3 4 4 4 4 4 3 4 3 3 3> {(2, 60): 't3', (2, 59): 't3', (2, 52): 'tau1', (2, 53): 't3', (2, 54): 't3', (2, 46): 't2', (2, 47): 't2', (2, 40): 't2', (2, 41): 't2', (2, 39): 'tau3', (2, 33): 't3', (2, 34): 't3', (2, 28): 't3', (2, 26): 'tau2^-1', (2, 27): 't3', (2, 20): 't1^-1', (2, 21): 't1^-1', (2, 144): 't1', (2, 13): 'tau3', (2, 15): 't1^-1', (2, 8): 't1^-1', (2, 137): 't1', (2, 132): 't1', (2, 0): 'tau2^-1', (2, 1): 't1^-1', (2, 111): 't2^-1', (2, 105): 't2^-1', (2, 106): 't2^-1', (2, 91): 'tau1^-1', (2, 73): 't2'}