U-tiling: UQC4239
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
|
|
sqc963
|
|
R-3m |
166 |
rhombohedral |
{3,6} |
7 |
(2,2) |
|
G
|
False
|
|
sqc5440
|
|
R-3c |
167 |
rhombohedral |
{6,3} |
14 |
(2,3) |
|
D
|
False
|
|
sqc962
|
|
R-3m |
166 |
rhombohedral |
{6,3} |
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
<40.1:96:2 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 96,73 3 20 85 7 16 65 11 28 93 15 89 19 61 23 40 81 27 53 31 48 41 35 52 77 39 43 60 69 47 57 51 55 72 59 63 80 67 84 71 75 92 79 83 87 96 91 95,81 82 5 6 23 24 89 90 13 14 31 32 57 58 21 22 49 50 29 30 73 74 37 38 55 56 65 66 45 46 63 64 53 54 61 62 69 70 87 88 77 78 95 96 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, 56): 't3^-1', (2, 57): 't3^-1', (2, 48): 't2^-1', (2, 49): 't2^-1', (2, 40): 't2', (2, 41): 't2', (2, 32): 't3', (2, 33): 't3', (1, 88): 'tau2', (1, 92): 't1', (1, 80): 'tau3^-1', (1, 72): 'tau2', (2, 8): 't1^-1', (2, 9): 't1^-1', (1, 64): 'tau3^-1', (2, 0): 't1^-1', (2, 1): 't1^-1', (1, 76): 't3^-1', (1, 56): 'tau1^-1', (1, 52): 't2^-1', (1, 40): 'tau1^-1', (1, 44): 't2', (1, 20): 't3', (1, 4): 't1^-1'}