U-tiling: UQC2186
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1715 |
*2626 |
(2,5,4) |
{3,5} |
{4.4.18}{18.4.12.12.4} |
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
|
|
sqc8245
|
|
R-3m |
166 |
rhombohedral |
{5,3} |
18 |
(2,5) |
|
G
|
False
|
|
sqc8241
|
|
R-3 |
148 |
rhombohedral |
{5,3,3} |
18 |
(3,6) |
|
D
|
False
|
|
sqc8238
|
|
R-3m |
166 |
rhombohedral |
{5,3} |
18 |
(2,5) |
Topological data
| Vertex degrees | {5,3} |
| 2D vertex symbol | {4.4.18}{18.4.12.12.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<15.2:132:100 112 113 6 7 118 119 21 22 89 123 124 17 18 129 130 122 79 80 28 29 85 86 54 55 111 68 69 39 40 74 75 65 66 56 101 102 50 51 107 108 90 91 61 62 96 97 78 72 73 98 99 83 84 109 110 94 95 105 106 116 117 131 132 127 128,2 4 27 8 11 10 13 15 38 19 22 21 24 26 30 33 32 35 37 41 44 43 46 48 71 52 55 54 57 59 82 63 66 65 68 70 74 77 76 79 81 85 88 87 90 92 115 96 99 98 101 103 126 107 110 109 112 114 118 121 120 123 125 129 132 131,23 3 5 7 9 11 34 14 16 18 20 22 25 27 29 31 33 36 38 40 42 44 67 47 49 51 53 55 78 58 60 62 64 66 69 71 73 75 77 80 82 84 86 88 111 91 93 95 97 99 122 102 104 106 108 110 113 115 117 119 121 124 126 128 130 132:12 4 18 4 4 4 4 4 4 4 4,5 3 5 3 3 3 5 3 5 3 3 3 5 3 5 3 3 3> {(0, 29): 't3', (0, 51): 't3', (0, 41): 't2', (0, 18): 't1^-1', (0, 8): 't1^-1', (0, 62): 't2', (0, 55): 'tau1^-1', (0, 45): 't3', (0, 22): 'tau2^-1', (0, 12): 't1^-1', (0, 34): 't2', (0, 111): 't1', (0, 19): 't1^-1', (0, 63): 't2', (0, 30): 't3', (0, 52): 't3', (0, 23): 't3', (0, 13): 't1^-1', (0, 35): 't2', (0, 2): 't1^-1', (0, 56): 't2', (0, 46): 't3', (0, 57): 't2', (0, 24): 't3', (0, 7): 't1^-1', (0, 40): 't2', (0, 11): 'tau3', (0, 33): 'tau3', (0, 0): 'tau2^-1', (0, 77): 'tau1^-1', }