Oscillators of each period by which cell frequency values are present. Frequency-0 cells are not counted as part of the oscillator.
| Blue
|
This oscillator is the smallest possible example for the subperiod combination of this period.
|
| Green
|
This oscillator is the smallest known example for the subperiod combination of this period.
|
| Yellow
|
This oscillator may be the smallest known example for the subperiod combination of this period; checking of other pattern collections may be advisable.
|
| Orange
|
Whether this subperiod combination is known for this period is unknown; checking of pattern collections advisable.
|
| Red
|
This subperiod combination is currently unknown for this period.
|
| Gray
|
This subperiod combination is provably impossible for this period.
|
p2
p3
p4
| Freqs.
|
Oscillator
|
Cells
|
| 1 only
|
proven impossible[1]
|
| 1,2
|
none known
|
| 1,3
|
proven impossible[4]
|
| 1,2,3
|
mazing
|
12
|
| 1,4
|
proven impossible[4]
|
| 1,2,4
|
lightweight emulator
|
30
|
| 1,3,4
|
boss
|
42
|
| 1,2,3,4
|
mold
|
12
|
| 2 only
|
proven impossible[4]
|
| 2,3
|
proven impossible[5]
|
| 2,4
|
unnamed
|
25
|
| 2,3,4
|
1-2-3-4
|
25
|
| 3 only
|
proven impossible[4]
|
| 3,4
|
unnamed
|
33
|
p5
| Freqs.
|
Oscillator
|
Cells
|
| 1 only
|
proven impossible[1]
|
| 1,2
|
proven impossible[6]
|
| 1,3
|
proven impossible[6]
|
| 1,2,3
|
none known
|
| 1,4
|
proven impossible[6]
|
| 1,2,4
|
none known
|
| 1,3,4
|
none known
|
| 1,2,3,4
|
statorless p5
|
68
|
| 1,5
|
proven impossible[6]
|
| 1,2,5
|
none known
|
| 1,3,5
|
none known
|
| 1,2,3,5
|
pseudo-barberpole
|
15
|
| 1,4,5
|
none known
|
| 1,2,4,5
|
hooks
|
21
|
| 1,3,4,5
|
unnamed
|
38
|
| 1,2,3,4,5
|
Silver's p5
|
17
|
| 2 only
|
proven impossible[6]
|
| 2,3
|
proven impossible[6]
|
| 2,4
|
proven impossible[6]
|
| 2,3,4
|
none known
|
| 2,5
|
proven impossible[5]
|
| 2,3,5
|
mathematician
|
35
|
| 2,4,5
|
none known
|
| 2,3,4,5
|
Elkies' p5
|
20
|
| 3 only
|
proven impossible[6]
|
| 3,4
|
proven impossible[6]
|
| 3,5
|
proven impossible[7]
|
| 3,4,5
|
unnamed
|
72
|
| 4 only
|
proven impossible[6]
|
| 4,5
|
proven impossible[6]
|
p6
| Freqs.
|
Oscillator
|
Cells
|
|
Freqs.
|
Oscillator
|
Cells
|
| 1 only
|
proven impossible[1]
|
1,3,4,5,6
|
unnamed
|
34
|
| 1,2
|
none known
|
1,2,3,4,5,6
|
blonker
|
20
|
| 1,3
|
none known
|
2 only
|
none known
|
| 1,2,3
|
none known
|
2,3
|
none known
|
| 1,4
|
none known
|
2,4
|
none known
|
| 1,2,4
|
none known
|
2,3,4
|
none known
|
| 1,3,4
|
none known
|
2,5
|
none known
|
| 1,2,3,4
|
statorless p6
|
36
|
2,3,5
|
none known
|
| 1,5
|
none known
|
2,4,5
|
none known
|
| 1,2,5
|
none known
|
2,3,4,5
|
none known
|
| 1,3,5
|
none known
|
2,6
|
none known
|
| 1,2,3,5
|
none known
|
2,3,6
|
unnamed
|
38
|
| 1,4,5
|
none known
|
2,4,6
|
unnamed
|
28
|
| 1,2,4,5
|
none known
|
2,3,4,6
|
unnamed
|
52
|
| 1,3,4,5
|
none known
|
2,5,6
|
unnamed
|
32
|
| 1,2,3,4,5
|
Jason's p6
|
28
|
2,3,5,6
|
unnamed
|
38
|
| 1,6
|
none known
|
2,3,4,5,6
|
unnamed
|
40
|
| 2,4,5,6
|
unnamed
|
28
|
3 only
|
none known
|
| 1,2,6
|
none known
|
3,4
|
none known
|
| 1,3,6
|
none known
|
3,5
|
none known
|
| 1,2,3,6
|
unnamed
|
56
|
3,4,5
|
none known
|
| 1,4,6
|
none known
|
3,6
|
none known
|
| 1,2,4,6
|
unnamed
|
38
|
3,4,6
|
unnamed
|
32
|
| 1,3,4,6
|
none known
|
3,5,6
|
none known
|
| 1,2,3,4,6
|
p6 thumb
|
27
|
3,4,5,6
|
unnamed
|
36
|
| 1,5,6
|
none known
|
4 only
|
none known
|
| 1,2,5,6
|
A for all
|
28
|
4,5
|
none known
|
| 1,3,5,6
|
none known
|
4,6
|
none known
|
| 1,2,3,5,6
|
unix
|
16
|
4,5,6
|
none known
|
| 1,4,5,6
|
unnamed
|
33
|
5 only
|
none known
|
| 1,2,4,5,6
|
30P6.1
|
30
|
5,6
|
none known
|
References