U-tiling: UQC527
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc356 |
*2626 |
(2,4,3) |
{4,3} |
{12.8.8.12}{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
|
|
sqc3991
|
|
R-3m |
166 |
rhombohedral |
{4,3} |
12 |
(2,4) |
|
G
|
False
|
|
sqc3995
|
|
R-3 |
148 |
rhombohedral |
{4,3} |
12 |
(2,4) |
|
D
|
False
|
|
sqc3996
|
|
R-3m |
166 |
rhombohedral |
{4,3} |
12 |
(2,4) |
Topological data
| Vertex degrees | {4,3} |
| 2D vertex symbol | {12.8.8.12}{8.6.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<19.1:84:15 9 10 5 76 77 22 12 83 84 30 31 19 55 56 37 38 26 48 49 43 33 69 70 50 40 62 63 58 59 47 65 66 54 71 61 78 68 79 80 75 82,2 4 6 70 9 11 13 63 16 18 20 84 23 25 27 77 30 32 34 42 37 39 41 44 46 48 56 51 53 55 58 60 62 65 67 69 72 74 76 79 81 83,64 3 67 68 7 57 10 60 61 14 78 17 81 82 21 71 24 74 75 28 36 31 39 40 35 38 42 50 45 53 54 49 52 56 59 63 66 70 73 77 80 84:12 8 6 8 8,4 3 4 3 4 3 4 3 4 3 4 3> {(2, 56): 'tau3^-1', (2, 53): 'tau1^-1', (0, 76): 't1', (2, 25): 'tau3', (2, 14): 'tau2^-1', (1, 48): 'tau1', (0, 62): 't2^-1', (2, 59): 'tau3^-1', (2, 18): 'tau2^-1', (2, 49): 'tau1^-1', (2, 38): 'tau1^-1', (1, 83): 'tau2', (0, 12): 't1^-1', (2, 63): 'tau2', (0, 34): 't3', (0, 47): 't2^-1', (2, 3): 'tau2^-1', (1, 62): 'tau3^-1', (0, 5): 't1^-1', (0, 55): 't3^-1', (0, 48): 't2^-1', (0, 61): 't2^-1', (2, 32): 'tau1', (2, 21): 'tau3', (1, 76): 'tau3^-1', (2, 52): 'tau1^-1', (2, 24): 'tau3', (0, 33): 't3', (2, 17): 'tau2^-1', (1, 69): 'tau2', (0, 13): 't1^-1', (0, 54): 't3^-1', (1, 41): 'tau1^-1', (2, 4): 'tau2^-1', (2, 35): 'tau1^-1', (2, 60): 'tau3^-1', }