U-tiling: UQC1417
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc58 |
*446 |
(1,2,3) |
{4} |
{4.8.6.8} |
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
|
|
sqc5585
|
|
R-3m |
166 |
rhombohedral |
{4,4} |
12 |
(2,3) |
G
|
False
|
|
sqc5584
|
|
R-3m |
166 |
rhombohedral |
{4,4} |
12 |
(2,4) |
D
|
False
|
|
sqc5585
|
|
R-3m |
166 |
rhombohedral |
{4,4} |
12 |
(2,3) |
Topological data
Vertex degrees | {4,4} |
2D vertex symbol | {6.8.4.8}{8.6.8.4} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<41.1:96:81 82 5 6 15 16 89 90 13 14 57 58 21 22 39 40 49 50 29 30 47 48 73 74 37 38 65 66 45 46 53 54 71 72 61 62 79 80 69 70 77 78 85 86 95 96 93 94,73 3 76 7 22 24 65 11 68 15 30 32 89 19 92 23 81 27 84 31 41 35 44 39 54 56 43 47 62 64 57 51 60 55 59 63 67 71 86 88 75 79 94 96 83 87 91 95,2 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 96:6 8 4 6 4 8 8 4,4 4 4 4 4 4 4 4 4 4 4 4> {(1, 88): 'tau2', (0, 41): 't2', (0, 8): 't1^-1', (0, 1): 't1^-1', (1, 83): 'tau3^-1', (1, 64): 'tau3^-1', (0, 48): 't2^-1', (1, 56): 'tau1^-1', (0, 9): 't1^-1', (1, 91): 'tau2', (1, 72): 'tau2', (0, 56): 't3^-1', (0, 49): 't2^-1', (1, 67): 'tau3^-1', (1, 59): 'tau1^-1', (0, 32): 't3', (1, 40): 'tau1^-1', (0, 57): 't3^-1', (1, 75): 'tau2', (0, 40): 't2', (1, 80): 'tau3^-1', (0, 33): 't3', (0, 0): 't1^-1', (1, 43): 'tau1^-1', }