Oscillator: Difference between revisions

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| [[octagon 2]]
| [[octagon 2]]
| [[:Category:Patterns found by Sol Goodman|Sol Goodman]], [[:Category:Patterns found by Arthur Taber|Arthur Taber]]
| [[:Category:Patterns found by Sol Goodman|Sol Goodman]], [[:Category:Patterns found by Arthur Taber|Arthur Taber]]
| [[:Category:Patterns found in 1971|1971]]
| 1971
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! [[:Category:Oscillators with period 6|6]]
! [[:Category:Oscillators with period 6|6]]
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! [[:Category:Oscillators with period 9|9]]
! [[:Category:Oscillators with period 9|9]]
| [[Worker bee]]
| [[worker bee]]
| [[:Category:Patterns found by David Buckingham|David Buckingham]]
| [[:Category:Patterns found by David Buckingham|David Buckingham]]
| 1972
| 1972
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! [[:Category:Oscillators with period 30|30]]
! [[:Category:Oscillators with period 30|30]]
| [[Queen bee shuttle]]
| [[queen bee shuttle]]
| Bill Gosper
| Bill Gosper
| 1970
| 1970
|-
|-
! [[:Category:Oscillators with period 32|32]]
! [[:Category:Oscillators with period 32|32]]
| [[Gourmet]]
| [[gourmet]]
| David Buckingham
| David Buckingham
| 1978
| [[:Category:Patterns found in 1978|1978]]
|-
|-
! [[:Category:Oscillators with period 46|46]]
! [[:Category:Oscillators with period 46|46]]
| [[Twin bees shuttle]]
| [[twin bees shuttle]]
| Bill Gosper
| Bill Gosper
| 1971
| 1971
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! [[:Category:Oscillators with period 110|110]]
! [[:Category:Oscillators with period 110|110]]
| [[p110 Traffic Jam]]
| [[P110 traffic jam]]
| Bill Gosper
| Bill Gosper
| 1994
| 1994
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| [[29P9.1]]
| [[29P9.1]]
| [[:Category:Patterns with 29 cells|29]]
| [[:Category:Patterns with 29 cells|29]]
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! 10
| [[bipole bridge pseudo-barberpole]]
| [[:Category:Patterns with 23 cells|23]]
|-
|-
! 14
! 14
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! 29
! 29
| [[Pre-pulsar shuttle 29]]
| [[pre-pulsar shuttle 29]]
| [[:Category:Patterns with 56 cells|56]]
| [[:Category:Patterns with 56 cells|56]]
|-
|-
! 30
! 30
| [[Queen bee shuttle]]
| [[queen bee shuttle]]
| [[:Category:Patterns with 20 cells|20]]
| [[:Category:Patterns with 20 cells|20]]
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! 100
! 100
| [[Centinal]]
| [[centinal]]
| [[:Category:Patterns with 70 cells|70]]
| [[:Category:Patterns with 70 cells|70]]
|}
|}

Revision as of 17:18, 4 April 2009

An oscillator is a pattern that is a predecessor of itself. That is, it is a pattern that repeats itself after a fixed number of generations (known as its period). The term is usually restricted to finite patterns that are not still lifes, though still lifes may be thought of as oscillators with period 1. An oscillator is divided into a rotor and a stator.

In general cellular automaton theory the term oscillator usually covers spaceships as well, but this usage is not normal in Conway's Game of Life.

Important oscillators by period

A list of the first-discovered oscillator of each period, as well the current smallest-known oscillator of that period, is provided here. Note that only true period oscillators are considered here. In some cases, it is not known for certain what the first-discovered oscillator of a given period is, in which situation a question mark (?) is presented along with the oscillator that has the earliest known date of discovery.

Period First discovered Discoverer Year of discovery
2 blinker John Conway 1970
3 pulsar John Conway 1970
4 (?) Gray counter Unknown 1971
5 octagon 2 Sol Goodman, Arthur Taber 1971
6 (?) $rats, sombreros David Buckingham 1972
7 (?) airforce, burloaferimeter David Buckingham 1972
8 figure eight Simon Norton 1970
9 worker bee David Buckingham 1972
14 tumbler George Collins, Jr. 1970
15 pentadecathlon John Conway 1970
30 queen bee shuttle Bill Gosper 1970
32 gourmet David Buckingham 1978
46 twin bees shuttle Bill Gosper 1971
51 112P51 Nicolay Beluchenko 2009
54 P54 shuttle David Buckingham 1974
110 P110 traffic jam Bill Gosper 1994
144 Achim's p144 Achim Flammenkamp 1994
Period Smallest known Minimum # of cells
2 blinker 3
3 caterer 12
4 mazing, mold 12
5 pseudo-barberpole 15
6 unix 16
7 28P7.1, 28P7.2, burloaferimeter 28
8 figure eight 12
9 29P9.1 29
10 bipole bridge pseudo-barberpole 23
14 tumbler 16
15 pentadecathlon 12
16 Achim's p16 32
29 pre-pulsar shuttle 29 56
30 queen bee shuttle 20
51 112P51 112
54 P54 shuttle 48
100 centinal 70

See also