U-tiling: UQC992
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc731 |
*2626 |
(2,4,3) |
{4,24} |
{6.4.3.4}{4.4.3.3.4.4.3.3.4.4.3.... |
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
|
|
sqc4748
|
|
R-3m |
166 |
rhombohedral |
{24,4} |
7 |
(2,4) |
|
G
|
False
|
|
sqc4735
|
|
R-3m |
166 |
rhombohedral |
{24,4} |
7 |
(2,5) |
|
D
|
False
|
|
sqc4750
|
|
R-3m |
166 |
rhombohedral |
{24,4} |
7 |
(2,4) |
Topological data
| Vertex degrees | {4,24} |
| 2D vertex symbol | {6.4.3.4}{4.4.3.3.4.4.3.3.4.4.3.3.4.4.3.3.4.4.3.3.4.4.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<33.1:96:17 4 5 14 15 16 25 12 13 20 21 38 39 40 28 29 46 47 48 49 36 37 57 44 45 52 53 70 71 72 60 61 78 79 80 81 68 69 89 76 77 84 85 94 95 96 92 93,2 8 20 6 23 10 16 28 14 31 18 24 22 26 32 30 34 40 52 38 55 42 48 60 46 63 50 56 54 58 64 62 66 72 84 70 87 74 80 92 78 95 82 88 86 90 96 94,73 3 5 7 88 65 11 13 15 96 89 19 21 23 64 81 27 29 31 56 41 35 37 39 80 43 45 47 72 57 51 53 55 59 61 63 67 69 71 75 77 79 83 85 87 91 93 95:3 4 6 3 4 4 3 3 4 4 3 3 4,24 4 4 4 4 4 4> {(2, 0): 'tau2^-1', (2, 47): 't2', (2, 56): 'tau1^-1', (2, 7): 't1^-1', (2, 16): 'tau2^-1', (2, 63): 't3^-1', (2, 8): 'tau3', (2, 15): 't1^-1', (2, 24): 'tau3', (2, 39): 't3', (2, 40): 'tau1^-1', (2, 55): 't2^-1', }