U-tiling: UQC2022
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1649 |
*2626 |
(2,5,4) |
{4,3} |
{4.24.3.12}{3.24.24} |
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
|
|
sqc8256
|
|
R-3m |
166 |
rhombohedral |
{3,4} |
18 |
(2,5) |
|
G
|
False
|
|
sqc8254
|
|
R-3 |
148 |
rhombohedral |
{3,4,4} |
18 |
(3,6) |
|
D
|
False
|
|
sqc8257
|
|
R-3m |
166 |
rhombohedral |
{3,4} |
18 |
(2,5) |
Topological data
| Vertex degrees | {3,4} |
| 2D vertex symbol | {4.24.3.12}{3.24.24} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<13.2:132:100 4 5 116 117 19 20 32 33 89 15 16 127 128 43 44 122 26 27 83 84 52 53 111 37 38 72 73 63 64 56 48 49 105 106 76 77 59 60 94 95 87 88 78 70 71 96 97 81 82 107 108 92 93 120 121 103 104 131 132 114 115 129 130 125 126,2 25 6 11 8 10 13 36 17 22 19 21 24 28 33 30 32 35 39 44 41 43 46 69 50 55 52 54 57 80 61 66 63 65 68 72 77 74 76 79 83 88 85 87 90 113 94 99 96 98 101 124 105 110 107 109 112 116 121 118 120 123 127 132 129 131,23 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 99 122 102 104 106 108 110 113 115 117 119 121 124 126 128 130 132:24 3 4 12 3 4 4 3 3 3 3,3 4 3 4 4 4 3 4 3 4 4 4 3 4 3 4 4 4> {(0, 39): 't2', (0, 16): 't1^-1', (0, 61): 't2', (0, 38): 't2', (0, 60): 't2', (0, 33): 'tau3', (0, 50): 't3', (0, 11): 'tau3', (0, 6): 't1^-1', (0, 55): 'tau1^-1', (0, 0): 'tau2^-1', (0, 77): 'tau1^-1', (0, 22): 'tau2^-1', (0, 17): 't1^-1', (0, 5): 't1^-1', (0, 27): 't3', (0, 49): 't3', (0, 28): 't3', }