U-tiling: UQC4072
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1180 |
*2626 |
(3,4,2) |
{24,18,4} |
{3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3... |
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
|
True
|
|
sqc3916
|
|
R-3m |
166 |
rhombohedral |
{18,12,4} |
5 |
(3,4) |
|
G
|
True
|
|
sqc4719
|
|
R-3m |
166 |
rhombohedral |
{20,14,4} |
5 |
(3,5) |
|
D
|
True
|
|
sqc3902
|
|
R-3m |
166 |
rhombohedral |
{18,12,4} |
5 |
(3,4) |
Topological data
| Vertex degrees | {24,18,4} |
| 2D vertex symbol | {3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3}{3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<3.2:108:19 3 5 7 9 28 12 14 16 18 21 23 25 27 30 32 34 36 55 39 41 43 45 64 48 50 52 54 57 59 61 63 66 68 70 72 91 75 77 79 81 100 84 86 88 90 93 95 97 99 102 104 106 108,2 21 6 9 8 11 30 15 18 17 20 24 27 26 29 33 36 35 38 57 42 45 44 47 66 51 54 53 56 60 63 62 65 69 72 71 74 93 78 81 80 83 102 87 90 89 92 96 99 98 101 105 108 107,82 4 5 96 97 17 18 73 13 14 105 106 100 22 23 69 70 44 45 91 31 32 60 61 53 54 46 40 41 87 88 49 50 78 79 64 58 59 80 81 67 68 89 90 76 77 85 86 94 95 107 108 103 104:3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3,24 18 4 4 4> {(2, 60): 't2^-1', (2, 63): 'tau1^-1', (2, 24): 't3', (2, 23): 't3', (2, 59): 't2^-1', (2, 27): 'tau3', (2, 50): 't2', (2, 51): 't2', (2, 45): 'tau1^-1', (2, 14): 't1^-1', (2, 15): 't1^-1', (2, 41): 't3', (2, 42): 't3', (2, 9): 'tau3', (2, 5): 't1^-1', (2, 6): 't1^-1', (2, 0): 'tau2^-1', (2, 18): 'tau2^-1'}