U-tiling: UQC5854
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc328 |
2*26 |
(3,3,1) |
{6,4,3} |
{6.6.6.6.6.6}{6.6.6.6}{6.6.6} |
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
|
|
sqc2599
|
|
R-3m |
166 |
rhombohedral |
{3,4,6} |
10 |
(3,3) |
|
G
|
False
|
|
sqc8555
|
|
R-3c |
167 |
rhombohedral |
{6,4,3} |
20 |
(3,4) |
|
D
|
False
|
|
sqc2842
|
|
R-3m |
166 |
rhombohedral |
{3,4,6} |
10 |
(3,3) |
Topological data
| Vertex degrees | {6,4,3,3,4,6} |
| 2D vertex symbol | {6.6.6.6.6.6}{6.6.6.6}{6.6.6}{6.6.6}{6.6.6.6}{6.6.6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<67.2:144:2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144,25 3 5 30 127 9 11 132 37 15 17 42 139 21 23 144 27 29 91 33 35 96 39 41 79 45 47 84 73 51 53 78 115 57 59 120 85 63 65 90 103 69 71 108 75 77 81 83 87 89 93 95 121 99 101 126 105 107 133 111 113 138 117 119 123 125 129 131 135 137 141 143,13 14 123 124 7 8 33 34 119 120 135 136 19 20 45 46 107 108 49 50 87 88 31 32 143 144 61 62 75 76 43 44 131 132 111 112 55 56 81 82 71 72 99 100 67 68 93 94 97 98 79 80 95 96 109 110 91 92 103 104 129 130 115 116 141 142 133 134 127 128 139 140:6 6 6 6 6 6 6 6 6 6 6 6,6 4 3 3 4 6 3 3 4 4 3 4 3 3 3 4 3 3 3 3> {(2, 62): 't2', (2, 63): 't2', (2, 58): 'tau1', (2, 59): 'tau1', (1, 114): 't3^-1', (2, 50): 't3', (2, 51): 't3', (1, 107): 't2^-1', (2, 47): 'tau3', (2, 38): 't2', (2, 39): 't2', (2, 34): 'tau2^-1', (1, 102): 't2^-1', (1, 90): 't3^-1', (2, 26): 't3', (2, 27): 't3', (2, 22): 'tau3', (2, 23): 'tau3', (2, 14): 't1^-1', (2, 15): 't1^-1', (2, 10): 'tau2^-1', (2, 11): 'tau2^-1', (2, 35): 'tau2^-1', (1, 59): 't3', (2, 122): 't1', (2, 123): 't1', (1, 42): 't2', (1, 47): 't2', (1, 126): 't1', (1, 35): 't3', (2, 94): 'tau1^-1', (2, 95): 'tau1^-1', (1, 18): 't1^-1', (2, 46): 'tau3', (1, 143): 't1', (1, 131): 't1'}