U-tiling: UQC222
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc212 |
*2626 |
(2,4,2) |
{4,12} |
{12.4.4.12}{4.4.4.4.4.4.4.4.4.4.... |
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
|
|
sqc2322
|
|
R-3m |
166 |
rhombohedral |
{4,12} |
7 |
(2,4) |
|
G
|
False
|
|
sqc2321
|
|
R-3 |
148 |
rhombohedral |
{4,12} |
7 |
(2,4) |
|
D
|
False
|
|
sqc2307
|
|
R-3m |
166 |
rhombohedral |
{4,12} |
7 |
(2,4) |
Topological data
| Vertex degrees | {4,12} |
| 2D vertex symbol | {12.4.4.12}{4.4.4.4.4.4.4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<8.1:72:55 62 63 5 66 49 68 69 11 72 67 44 45 17 48 61 38 39 23 42 31 56 57 29 60 50 51 35 54 43 41 47 53 59 65 71,2 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 72,13 3 16 17 12 19 9 22 23 15 30 21 36 37 27 40 41 43 33 46 47 39 54 45 60 61 51 64 65 67 57 70 71 63 72 69:12 4 4 4 4 4 4,4 12 4 4 4 4 4> {(0, 59): 't3^-1', (0, 56): 't3^-1', (0, 62): 't1', (0, 60): 'tau3^-1', (0, 61): 't1', (0, 50): 't2^-1', (0, 48): 'tau3^-1', (0, 49): 't2^-1', (0, 54): 'tau2', (0, 55): 't3^-1', (0, 53): 't2^-1', (0, 42): 'tau1^-1', (0, 43): 't3^-1', (0, 41): 't2^-1', (0, 47): 't3^-1', (0, 44): 't3^-1', (0, 38): 't2^-1', (0, 37): 't2^-1', (0, 24): 'tau1', (0, 11): 't1^-1', (0, 8): 't1^-1', (0, 12): 'tau2^-1', (0, 7): 't1^-1', (0, 5): 't1^-1'}