U-tiling: UQC1144
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1030 |
*2626 |
(2,4,3) |
{3,18} |
{12.4.6}{6.4.4.6.4.4.6.4.4.6.4.4... |
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
|
|
sqc6134
|
|
R-3m |
166 |
rhombohedral |
{18,3} |
13 |
(2,4) |
|
G
|
False
|
|
sqc6133
|
|
R-3 |
148 |
rhombohedral |
{18,3,3} |
13 |
(3,5) |
|
D
|
False
|
|
sqc6125
|
|
R-3m |
166 |
rhombohedral |
{18,3} |
13 |
(2,4) |
Topological data
| Vertex degrees | {18,3} |
| 2D vertex symbol | {12.4.6}{6.4.4.6.4.4.6.4.4.6.4.4.6.4.4.6.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<4.1:108:19 4 5 24 25 17 18 28 13 14 33 34 22 23 44 45 31 32 53 54 55 40 41 60 61 64 49 50 69 70 58 59 80 81 67 68 89 90 91 76 77 96 97 100 85 86 105 106 94 95 107 108 103 104,2 93 6 9 8 11 102 15 18 17 20 66 24 27 26 29 57 33 36 35 38 84 42 45 44 47 75 51 54 53 56 60 63 62 65 69 72 71 74 78 81 80 83 87 90 89 92 96 99 98 101 105 108 107,82 3 5 7 9 73 12 14 16 18 100 21 23 25 27 91 30 32 34 36 46 39 41 43 45 48 50 52 54 64 57 59 61 63 66 68 70 72 75 77 79 81 84 86 88 90 93 95 97 99 102 104 106 108:4 6 12 4 6 6 4 4 4 4,18 3 3 3 3 3 3 3 3 3 3 3 3> {(2, 27): 'tau3', (2, 0): 'tau2^-1', (2, 45): 'tau1^-1', (2, 18): 'tau2^-1', (1, 101): 't1', (1, 83): 't3^-1', (2, 63): 'tau1^-1', (2, 72): 'tau3^-1', (1, 56): 't2^-1', (1, 92): 't1', (1, 74): 't2^-1', (1, 65): 't3^-1', }