Life Period-4 Pseudo-Oscillators

Size in bits: 16 | 17 | 18 | 19 | 20 | 21 | 22 | 25
Cost in gliders: unknown



The 1 sixteen-bit period 4 pseudo-oscillator

16b PP4

Block on mold [7]


The 2 seventeen-bit period 4 pseudo-oscillators

17-bit pseudo-P4

Down boat on mold [8] Up boat on mold [8]


The 11 eighteen-bit period 4 pseudo-oscillators

18-bit period 4 pseudo-oscillators

Beehive on mold [7] Up ship on mold [9] Up cis carrier on mold [12] Down ship on mold [9] Up snake on mold [11] Down snake on mold [11]
Up trans carrier on mold [12] Up cis beacon on mold [12] Down cis carrier on mold [12] Down trans carrier on mold [12] Down cis beacon on mold [11]  


The 14 nineteen-bit period 4 pseudo-oscillators

19-bit period 4 pseudo-oscillators

Up cis python on mold [14] Down loaf on mold [8] Up mold below eater [9] Up long boat on mold [10] Down mold above eater [12] Up mold on eater [9] Up loaf on mold [8]
Up trans python on mold [15] Down trans python on mold [15] Down long boat on mold [9] Down mold below eater [9] Down mold on eater [9] Up mold above eater [12] Down cis python on mold [14]


The 33 twenty-bit period 4 pseudo-oscillators

20-bit period 4 pseudo-oscillators

Up shillelagh head on mold [11] Down mango on mold [9] Up long ship on mold [9] Down trans beacon on mold [11] Pond on mold [8] Down hook w/ tail tail on mold [15] Down shil- lelagh chin on mold [11] Block on block on mold [8] Down shil- lelagh tail on mold [15]
Up shil- lelagh chin on mold [11] Down hook w/ tail on mold [15] Down tub w/ tail on mold [15] Up trans canoe on mold [14] Up trans bipole on mold [16] Up cis bipole on mold [16] Up cis canoe on mold [14] Down cis bipole on mold [16] Up trans beacon on mold [12]
Up trans bipole on mold [16] Up shil- lelagh tail on mold [15] Up trans very long snake on mold [14] Up mango on mold [9] Down long ship on mold [9] Up cis very long snake on mold [12 Up hook w/ tail head on mold [15] Down trans very long snake on mold [14] Down shil- lelagh head on mold [11]
Up hook w/ tail tail on mold [15] Up tub w/ tail on mold [15] Down trans canoe on mold [14] Down trans canoe on mold [13] Block on mold on block [9] Down cis very long snake on mold [12]  


The 50 21-bit period 4 pseudo-oscillators

21-bit period 4 pseudo-oscillators

Down mold behind long shil- lelagh [16] Down mold on down boat w/ tail [12] Up very long boat on mold [12] Down mold above down boat w/ tail [14] Up mold below up boat w/ tail [12] Up mold on up boat w/ tail [12] Up mold below integral [12] Up mold on integral [15] Down mold above up boat w/ tail [15] Down mold below long shil- lelagh [15]
Down boat on block on mold [10] Up boat on block on mold [10] Down mold on long hook w/ tail [15] Up mold above long shil- lelagh [19] Up mold below long shil- lelagh [15] Down mold on tub w/long tail [15] Down mold above long shil- lelagh [19] Up mold on long hook w/ tail [15] Up trans extra long snake on mold [18] Up mold below long hook w/ tail [19]
Up mold on long shil- lelagh [19] Up mold before long shil- lelagh [15] Down mold above long hook w/ tail [19] Up mold on down boat w/ tail [12] Up mold on tub w/long tail [15] Up trans long canoe on mold [18] Up mold on tripole [18] Up mold below tripole [18] Up cis long canoe on mold [18] Up mold behind long shil- lelagh [16]
Down very long boat on mold [12] Up mold above down boat w/ tail [14] Down mold below up boat w/ tail [12] Down mold on up boat w/ tail [12] Up cis extra long snake on mold [12] Down mold below integral [9] Down mold on integral [15] Up mold above up boat w/ tail [15] Down trans extra long snake on mold [18] Down mold below long hook w/ tail [16]
Down boat on mold on block [8] Up boat on mold on block [10] Down mold on long shil- lelagh [18] Down mold before long shil- lelagh [14] Up mold above long hook w/ tail [16] Down trans long canoe on mold [18] Down mold on tripole [18] Down mold below tripole [18] Down cis long canoe on mold [17] Down cis extra long snake on mold [12]


The 154 22-bit period 4 pseudo-oscillators

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

All of these are easy to synthesize using standard techniques.


2 25-bit period 4 pseudo-oscillators

All period-4 pseudo-oscillators up to 25 bits are easy to synthesize except these two, for which syntheses are also trivial, but that rely on a predecessor for which no synthesis yet exists.

25-bit pseudo-P4

Block on 21-bit P4 #1 [x+2] Block below 21-bit P4 #1 [x+3]


The 2 period 4 pseudo-oscillators up to 25 bits without any known syntheses

These are both easy to synthesize, but are based on one predecessor that does not yet have a synthesis.

unknown P4 pseudo-oscllators

Block on 21-bit P4 #1 [x+2] Block below 21-bit P4 #1 [x+3]



Related: period-4 oscillators.

Other pseudo-oscillators by period: 2, 3, 4, 5, 6, 8, 10, 12, 15, 30, 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.