U-tiling: UQC223
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
|
|
sqc2307
|
|
R-3m |
166 |
rhombohedral |
{4,12} |
7 |
(2,4) |
|
G
|
False
|
|
sqc2294
|
|
R-3 |
148 |
rhombohedral |
{4,12} |
7 |
(2,4) |
|
D
|
False
|
|
sqc2322
|
|
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
<8.2:72:13 8 9 5 12 19 11 26 27 17 30 32 33 23 36 37 29 43 35 50 51 41 54 56 57 47 60 61 53 67 59 68 69 65 72 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 72,55 3 58 59 66 49 9 52 53 72 67 15 70 71 48 61 21 64 65 42 31 27 34 35 60 33 54 43 39 46 47 45 51 57 63 69:12 4 4 4 4 4 4,4 12 4 4 4 4 4> {(2, 60): 'tau3^-1', (2, 63): 'tau3^-1', (2, 57): 'tau2', (2, 58): 'tau2', (2, 59): 't3^-1', (2, 52): 'tau3^-1', (2, 53): 't2^-1', (2, 54): 'tau2', (2, 48): 'tau3^-1', (2, 51): 'tau3^-1', (2, 45): 'tau1^-1', (2, 46): 'tau1^-1', (2, 47): 't3^-1', (2, 41): 't2^-1', (2, 42): 'tau1^-1', (2, 33): 'tau1^-1', (2, 34): 'tau1^-1', (2, 30): 'tau1^-1', (2, 22): 'tau3', (2, 16): 'tau2^-1', (2, 12): 'tau2^-1', (2, 15): 'tau2^-1', (2, 11): 't1^-1', (2, 5): 't1^-1'}