U-tiling: UQC4240
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc105 |
2*26 |
(2,2,1) |
{6,3} |
{8.8.8.8.8.8}{8.8.8} |
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
|
|
sqc962
|
|
R-3m |
166 |
rhombohedral |
{6,3} |
7 |
(2,2) |
|
G
|
False
|
|
sqc5441
|
|
R-3c |
167 |
rhombohedral |
{6,3} |
14 |
(2,3) |
|
D
|
False
|
|
sqc963
|
|
R-3m |
166 |
rhombohedral |
{3,6} |
7 |
(2,2) |
Topological data
| Vertex degrees | {6,3,3,6} |
| 2D vertex symbol | {8.8.8.8.8.8}{8.8.8}{8.8.8}{8.8.8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<40.2:96:2 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 96,17 3 76 13 7 88 25 11 68 15 96 19 92 37 23 64 27 84 45 31 56 49 35 44 39 80 57 43 47 72 51 60 69 55 59 77 63 81 67 71 89 75 79 83 93 87 91 95,9 10 5 6 79 80 13 14 71 72 33 34 21 22 95 96 41 42 29 30 87 88 37 38 47 48 45 46 65 66 53 54 63 64 73 74 61 62 69 70 77 78 89 90 85 86 93 94:8 8 8 8 8 8,6 3 3 6 3 3 3 3 3 3 3 3 3 3> {(2, 62): 'tau1^-1', (2, 63): 'tau1^-1', (2, 46): 'tau1^-1', (2, 47): 'tau1^-1', (2, 30): 'tau3', (2, 31): 'tau3', (1, 95): 't1', (2, 22): 'tau2^-1', (2, 23): 'tau2^-1', (1, 75): 'tau2', (1, 87): 't1', (2, 14): 'tau3', (2, 15): 'tau3', (1, 79): 't3^-1', (2, 6): 'tau2^-1', (2, 7): 'tau2^-1', (1, 71): 't2^-1', (1, 59): 'tau1^-1', (1, 63): 't3^-1', (1, 91): 'tau2', (1, 55): 't2^-1', (1, 43): 'tau1^-1', (1, 27): 'tau3', (1, 11): 'tau3'}