U-tiling: UQC528
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
|
|
sqc3996
|
|
R-3m |
166 |
rhombohedral |
{4,3} |
12 |
(2,4) |
|
G
|
False
|
|
sqc3993
|
|
R-3 |
148 |
rhombohedral |
{4,3} |
12 |
(2,4) |
|
D
|
False
|
|
sqc3991
|
|
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
<19.2:84:64 72 73 5 13 14 57 79 80 12 78 51 52 19 34 35 71 44 45 26 41 42 36 65 66 33 58 59 40 50 47 62 63 54 69 70 61 68 75 83 84 82,2 4 6 21 9 11 13 28 16 18 20 23 25 27 30 32 34 49 37 39 41 56 44 46 48 51 53 55 58 60 62 77 65 67 69 84 72 74 76 79 81 83,15 3 18 19 7 22 10 25 26 14 17 21 24 28 43 31 46 47 35 50 38 53 54 42 45 49 52 56 71 59 74 75 63 78 66 81 82 70 73 77 80 84:12 8 6 8 8,4 3 4 3 4 3 4 3 4 3 4 3> {(0, 29): 't3', (0, 51): 't3^-1', (0, 9): 't1^-1', (0, 50): 't3^-1', (0, 63): 'tau2', (0, 8): 't1^-1', (0, 21): 'tau3', (0, 30): 't3', (0, 43): 't2^-1', (0, 1): 't1^-1', (0, 35): 'tau1^-1', (0, 44): 't2^-1', (0, 57): 't2^-1', (0, 2): 't1^-1', (0, 56): 'tau3^-1', (0, 14): 'tau2^-1', (0, 49): 'tau1^-1', (0, 58): 't2^-1', }