Life Period-6 Oscillators

Size in bits: 16 | 18 | 20 | 21 | 22 | 23 | 24 | 25 | Larger
Cost in gliders: 6 | 1 glider/bit | >1 glider/bit | unknown
Frequency of occurrence



The 1 sixteen-bit period 6 oscillator

16b P6

Unix [6]

The Unix is the smallest oscillator that produces a period 6 diagonal bit spark.


The 4 eighteen-bit period 6 oscillators

18-bit period 6 oscillators

Up beacon on up candel- frobra [13] Up beacon on down candel- frobra [13] Down beacon on down candel- frobra [13] Down beacon on up candel- frobra [13]

All of these have a pseudo-period of 6, a composite of 2 and 3.


The 11 twenty-bit period 6 oscillators

20-bit period 6 oscillators

Up bipole on up candel- frobra [16] Up bipole on down candel- frobra [16] Down bipole on down candel- frobra [16] Down beacon on cuphook w/ pre- block [17] Up beacon on cuphook w/ pre- block [18] Up beacon on down cuphook w/ tail [9]
Up beacon on up cuphook w/ tail [14] Down beacon on up cuphook w/ tail [12] Blonker [25] Down bipole on up candel- frobra [17] Down beacon on down cuphook w/ tail [13]  

All of these except the Blonker have a pseudo-period of 6, a composite of 2 and 3.


The 15 21-bit period 6 oscillators

21-bit period 6 oscillators

Up tripole on up candel- frobra [19] Up tripole on down candel- frobra [19] Down tripole on down candel- frobra [19] Up beacon on cuphook w/ pre- block w/ tub [21] Down beacon on cuphook w/ pre- block w/ tub [20]
Up beacon on down cuphook w/ tub and tail [12] Up beacon on up cuphook w/ tub and tail [17] Down beacon on up cuphook w/ tub and tail [15] Down beacon on down cuphook w/ tub and tail [16] Up beacon on up long bookend eating eater [12]
Eater eating test tube baby [12] Down beacon on down long bookend eating eater [12] Up beacon on down long bookend eating eater [12] Down tripole on up candel- frobra [17] Down beacon on up long bookend eating eater [12]

All of these have a pseudo-period of 6, a composite of 2 and 3.


The 43 22-bit period 6 oscillators

Unfortunately, due to time limitations, these cannot yet be shown. These consist of:

All of these except Unix on table have a pseudo-period of 6, a composite of 2 and 3.

All of these are easy to synthesize using standard techniques.


The 71 23-bit period 6 oscillators

Unfortunately, due to time limitations, these cannot yet be shown. These consist of:

All of these except the two below have a pseudo-period of 6, a composite of 2 and 3.

Syntheses for 2 of these (1 still unknown) are shown; all the others are easy to synthesize using standard techniques.

23-bit P6

P6 w/ block and head [x] Nicolay Belu- chenko's P6 between two eaters [24]


The 186 24-bit period 6 oscillators

Unfortunately, due to time limitations, these cannot yet be shown. These consist of:

All of these except the first and last categories have a pseudo-period of 6, a composite of 2 and 3.

Syntheses for 3 of these (2 still unknown) are shown; all the others are easy to synthesize using standard techniques.

24-bit P6

Four blinkers around four blocks [12] P6 w/ boat and head [x+6] P6 w/ block and tub [x+5]


25-bit period 6 oscillators

There are several hundred 25-bit period 6 oscillators. Unfortunately, these have not yet been counted. Most consist of combinations of existing components.

Syntheses for 8 of these (6 still unknown) are shown; all the others should be easy to synthesize using standard techniques.

25-bit period-6 oscillators

P6 w/ table and head [x+6] P6 w/ ship and head [x+6] P6 w/ block and boat [x+7] P6 w/ carrier and head [x+12] P6 w/ boat and tub [x+11] P6 w/ beacon and head [x+7] Short key and skewed pole tie bipole [55] Bent key and skewed pole tie bipole [49]

The last two have a pseudo-period of 6, a composite of 2 and 3.


21 period 6 oscillators 26 bits and larger

larger period 6 oscillators

A for All [14] Jason Summers's P6 [40] Sesqui- unix [12] Merzenich's unix on eater [13] Extremely impressive [30-35] 33-bit eater- hassled P6 [50-72]
Two cis unices [11] $rats [101-124] 32-bit P6 #1 [72] Two trans unices [11] Two touching trans- unices [14] Two touching cis- unices [14]
Lonely bee hassled by four toads [19] Ship hassled by two unices [17] Three cis cis unices [23] Three cis trans unices [16] Three trans trans unices [17] Beluchenko's two unices and block on corner table [24]
Merzenich's unix on dual eater-2 [49] Merzenich's 4 clocks hassling 2 siamese unices [42] Unicycle; Four cis unices [28]  

Extremely impressive is an unusual oscillator. It appears at first glance to be a billiard table, but isn't really, as one of the sides temporarily falls apart, but then re-forms later.



1 period 6 oscillator buildable from 6 gliders

6g P6

Unix [6]

The Unix is the smallest oscillator that produces a period 6 diagonal bit spark.


The 1 period 6 oscillator up to 21 bits costing 1 glider/bit

1g/b P6

Up beacon on cuphook w/ pre-block [21]

This has a pseudo-period of 6, a composite of 2 and 3.


The 1 period 6 oscillator up to 21 bits costing >1 glider/bit

>1 g/b P6

Blonker [25]


The 9 period 6 oscillators up to 25 bits without any known syntheses

These are all derived from one base 23-bit oscillator.

unknown period-6 oscillators

P6 w/ block and head [x] P6 w/ boat and head [x+6] P6 w/ block and tub [x+5] P6 w/ table and head [x+6] P6 w/ ship and head [x+6] P6 w/ block and boat [x+7] P6 w/ carrier and head [x+12] P6 w/ boat and tub [x+11] P6 w/ beacon and head [x+7]



The top 1 naturally-occurring period 6 oscillator

natural P6

Unix [6] (1.7e9)

The Unix is the smallest oscillator that produces a period 6 diagonal bit spark.



Related: period-6 pseudo-oscillators.

Other oscillators by period: 2, 3, 4, 5, 6, 8, 10, 12, 14, 15, 24, 30, 36, 60, other.

Other types: still-lifes, pseudo-still-lifes, oscillators, pseudo-oscillators, oscillators by period, pseudo-oscillators by period, guns, multi-colored Life, basic spaceships and pseudo-spaceships, exotic spaceships, spaceships flotillae, puffers, constellations, methuselahs, not quite stable objects.

See also: Life objects sorted by: counts, frequency of occurrence, cost in gliders, name, size in bits, or type.

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This page was last updated on 2015-02-19.