U-tiling: UQC4706
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1539 |
*2626 |
(4,4,2) |
{3,6,4,12} |
{12.4.4}{12.4.4.12.4.4}{4.4.4.4}... |
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
|
|
sqc7194
|
|
R-3m |
166 |
rhombohedral |
{3,6,4,12} |
13 |
(4,4) |
|
G
|
False
|
|
sqc7244
|
|
R-3 |
148 |
rhombohedral |
{3,6,4,12} |
13 |
(4,5) |
|
D
|
False
|
|
sqc7245
|
|
R-3m |
166 |
rhombohedral |
{3,6,4,12} |
13 |
(4,4) |
Topological data
| Vertex degrees | {3,6,4,12} |
| 2D vertex symbol | {12.4.4}{12.4.4.12.4.4}{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
<8.1:120:2 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 98 100 102 104 106 108 110 112 114 116 118 120,21 12 5 10 7 9 31 15 20 17 19 42 25 30 27 29 52 35 40 37 39 61 45 50 47 49 71 55 60 57 59 82 65 70 67 69 92 75 80 77 79 101 85 90 87 89 111 95 100 97 99 112 105 110 107 109 115 120 117 119,3 4 25 26 97 98 109 110 13 14 35 36 87 88 119 120 23 24 117 118 79 80 33 34 107 108 69 70 43 44 65 66 57 58 99 100 53 54 75 76 89 90 63 64 77 78 73 74 83 84 105 106 93 94 115 116 103 104 113 114:12 4 4 4 4 4 4 4 4 4 4 4 4,3 6 4 12 3 4 6 6 3 4 3 3 3> {(2, 56): 'tau1^-1', (2, 57): 'tau1^-1', (2, 58): 't2', (2, 59): 't2', (2, 48): 't3', (2, 49): 't3', (2, 36): 'tau3', (2, 37): 'tau3', (2, 38): 't2', (2, 39): 't2', (2, 28): 't3', (2, 29): 't3', (2, 26): 'tau2^-1', (2, 27): 'tau2^-1', (2, 16): 'tau3', (2, 17): 'tau3', (2, 18): 't1^-1', (2, 19): 't1^-1', (2, 8): 't1^-1', (2, 9): 't1^-1', (2, 6): 'tau2^-1', (2, 7): 'tau2^-1', (2, 76): 'tau1^-1', (2, 77): 'tau1^-1'}