21-Bit Life Objects

Still-lifes | Pseudo-still-lifes | P2 oscillators | P2 pseudo-oscillators | P3 oscillators | P3 pseudo-oscillators | P4 oscillators | P4 pseudo-oscillators | P5 oscillators | P5 pseudo-oscillators | P6 oscillators | P6 pseudo-oscillators | P8 oscillators | P8 pseudo-oscillators | P10 pseudo-oscillators | P15 oscillator | P15 pseudo-oscillators | P30 pseudo-oscillator



The 273188 21-bit still-lifes

Unfortunately, due to space limitations, these cannot be shown.

Syntheses for 47 of these are shown.

21-bit still-lifes

21.1409 [9] 21.9556 [20] 21.9734 [19] 21.9735 [19] 21.12138 [9] 21. 16612 [9] 21. 16659 [9] 21. 18937 [11] 21. 19110 [11] 21. 22391 [6]
21. 40881 [10] 21. 40996 [7] 21. 41351 [6] 21. 41458 [11] 21. 43296 [19] 21. 44222 [6] 21. 46394 [7] 21. 47007 [17] 21. 47034 [14] 21. 47643 [16]
21. 47708 [21] 21. 51514 [13] 21. 51763 [26] 21. 52368 [11] 21. 56578 [15] 21. 58260 [9] 21. 67201 [17] 21. 67406 [6] 21. 67612 [9] 21. 74005 [11]
21. 75446 [16] 21. 88720 [9] 21. 115231; Century eater w/ down cis bookend [9] 21. 115270; Century eater w/ up cis bookend [9] 21. 118465 [7] 21. 125951 [10] 21. 130813 [8] 21. 133930 [8] 21. 135994 [13] 21. 149597 [6]
21. 151850 [7] 21. 169733 [7] 21. 198031 [6] 21. 198605 [12] 21. 214663 [9] 21. 247593; Tri- loaf [11] 21. 265698 [10]  

The Century eater is specifically designed to eat a century.


The 179011 21-bit pseudo-still-lifes

Unfortunately, due to space limitations, these cannot be shown.

Syntheses for 30 of these are shown.

21-bit pseudo-still-lifes

Up paperclip above eater [5] Up long hat on long hat siamese boat [15] Down long hat on long hat siamese boat [15] Beehive below shil- lelagh tie bun [6] Beehive on shil- lelagh tie bun [6] Down paperclip above eater [5] Block on block on long cis integral [14] Down shil- lelagh head on long cis integral [17] Down boat on bi- pond [6] Up boat on bi- pond [6]
Up half bakery above eater [5] Pond on long cis integral [14] Down boat beside up ship on dock [5] Down shil- lelagh chin on long cis integral [17] Up shil- lelagh tail on long cis integral [15] Down long ship on long cis integral [14] Up eater tail on long cis integral w/ tub [18] Up trans hook w/ tail on long cis integral [15] Down cis very long snake on long cis integral [16] Pond above integral w/ down loaf [6]
Pond behind integral w/ down loaf [6] Down half bakery above eater [5] Up cis hook w/ tail on long cis integral [15] Up tub w/ tail on long cis integral [15] Up boat on up eater tail above eater [5] Down cis canoe on long cis integral [17] Down trans canoe on long cis integral [17] Down trans very long snake on long cis integral [17] Up loaf on eater bridge eater [5] Down boat on up eater tail above eater [5]


The 6596 21-bit period 2 oscillators

Due to space limitations, these are shown without syntheses on a separate page. Syntheses for 2 of them are shown here.

21b P2

Beacon on bookend siamese long integral [12] Up beacon on down dock w/ down mango [6]


The 22134 21-bit period 2 pseudo-oscillators

Due to space limitations, these are shown without syntheses on a separate page.

All of these can be synthesized using the same techniques that are used for smaller pseudo-oscillators and pseudo-still-lifes, except one non-trivial one (shown below) and 169 trivial ones (not shown below) that involve adding a small still-life or oscillator to a large complex period 2 oscillator that does not yet have a synthesis:

Here are syntheses (or lack thereof) for 11 of these. All of the expensive ones were once on the "non-trivial without synthesis" list for a long time, but were eventually solved. Note that these, plus the ones without syntheses, all share three mechanisms that are all very difficult to synthesize: a beacon sandwiched between two other pieces, a bipole with pieces wrapped around it, or a cis python whose free end is near something else.

21-bit pseudo-P2

Beehive on beehive on tripole [10] Beacon between gull w/ two long hooks [178] Beacon between shillelagh and up cis python [88] Up bipole on table on cis python [32] Bipole on carrier behind eater [21] Up snake on up beacon above long hook w/ tail [x]
Up cis python on up beacon below bipole [55] Up cis python on up beacon on bipole [55] Up bipole on feather on hook w/ tail [32] Down bipole on long cis integral [18] Down tripole below carrier bridge snake [18]  


The 420 21-bit period 3 oscillators

Due to space limitations, these and their syntheses are shown on a separate page.


The 90 21-bit period 3 pseudo-oscillators

21-bit period 3 pseudo-oscillators


The 34 21-bit period 4 oscillators

21-bit period 4 oscillators

Down boat on mold sharing tail [52] Up mold on up long bookend w/ hook [15] Down mold on down long bookend w/ hook[13] Up mold tie Z w/ pre-block [23] Up mold on up long bookend w/ tub [15] Up mold on down long bookend w/ hook [13] Up mold on down long bookend w/ tub [13] Down mold on down long bookend w/ tub [13] 21-bit P4 oscillator #1 [x]
Mold tie hook w/ long tail [34] Up mold tie dove [18] Up boat on mold sharing tail [41] Mold tie down boat w/ tail [27] Up mold siamese very long hat [22] Down mold siamese very long hat [22] Up mold tie bookend w/ boat [23] Down mold on up long bookend w/ hook [15] Mold siamese boat on table [23]
Eater siamese mold siamese snake [22] Mold w/bit tie long side [44] Mold siamese long hat siamese boat [24] Snake siamese mold siamese eater [29] Mold siamese boat below carrier [27] Carrier siamese mold siamese eater [35] Eater siamese mold siamese carrier [28] Down mold tie Z w/ pre-block [20] Mold w/ bit tie canoe [30]
Snake siamese mold siamese snake [27] Carrier siamese mold siamese snake [33] Mold w/ bit tie mango [40] Down mold on up long bookend w/ tub [15] Up mold tie dove [17] Down mold tie bookend w/ boat [22] Con- fused eaters w/ tub [20]  


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 42 21-bit period 5 oscillators

21-bit period 5 oscillators

Fumarole w/ tub and up boat [14] Silver's P5 before cis shillelagh [22] Silver's P5 on cis hook w/ tail [30] Silver's P5 above integral w/ hook [30] Silver's P5 above integral w/ tub [30] Silver's P5 on snake siamese snake [27] Silver's P5 on snake siamese carrier [24]
Silver's P5 above tub w/ very long tail [30] Silver's P5 on carrier siamese snake [22] Silver's P5 on carrier siamese carrier [19] Silver's P5 on very long hook w/ tail [27] Silver's P5 above very long shillelagh [20] Silver's P5 on extra extra long snake [20] Fumarole w/ up barge [14]
Fumarole w/ fuse w/ tail [16] Silver's P5 above boat w/ long tail [28] Silver's P5 on very long canoe [20] Elkies's P5 w/ tub [28] Silver's P5 on up long hat [21] Silver's P5 on block on table [22] Silver's P5 on down long hat [40]
Silver's P5 behind boat w/ long tail [24] Silver's P5 above block on table [31] Silver's P5 on integral w/ hook [37] Hooks on snake [17] Hooks on carrier [14] Silver's P5 above cis hook w/ tail [43] Silver's P5 on beehive w/ tail [14]
Silver's P5 on down barge w/ tail [17] Silver's P5 above claw w/ tail [14] Silver's P5 on fuse w/ two tails [18] Silver's P5 on up barge w/ tail [16] Silver's P5 above very long hook w/ tail [18] Up table on pseudo barber pole [31] Up table below pseudo barber pole [31]
Down table below pseudo barber pole [33] Down table on pseudo barber pole [33] Pseudo barber pole tie up snake [41] Pseudo barber pole tie down snake [41] Pseudo barber pole tie ship [38] Pseudo barber pole tie up carrier [40] Pseudo barber pole tie down carrier [40]


The 28 21-bit period 5 pseudo-oscillators

21-bit P5 pseudo-oscillators

Silver's P5 on carrier above block [17] Silver's P5 on snake on block [21] Silver's P5 on carrier on block [16] Block on Silver's P5 on snake [21] Block on Silver's P5 on carrier [16] Silver's P5 on carrier below block [18] Block above Silver's P5 on snake [21]
Block above Silver's P5 on carrier [16] Block below Silver's P5 on snake [21] Block below Silver's P5 on carrier [16] Up ship below pseudo- barber- pole [31] Up cis carrier below pseudo- barber- pole [35] Up ship on pseudo- barber- pole [31] Up cis carrier on pseudo- barber- pole [35]
Up snake on pseudo- barber- pole [34] Up snake below pseudo- barber- pole [34] Up trans carrier below pseudo- barber- pole [34] Up trans carrier on pseudo- barber- pole [34] Down snake on pseudo- barber- pole [34] Down snake below pseudo- barber- pole [34] Beehive below pseudo- barber- pole [31]
Beehive on pseudo- barber- pole [31] Down ship on pseudo- barber- pole [32] Down ship below pseudo- barber- pole [32] Down trans carrier on pseudo- barber- pole [34] Down trans carrier below pseudo- barber- pole [34] Down cis carrier below pseudo- barber- pole [35] Down cis carrier on pseudo- barber- pole [35]


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 6 21-bit period 6 pseudo-oscillators

21-bit pseudo-P6

Up bipole on jam [13] Up bipole below jam [13] Down boat on unix [8] Up boat on unix [8] Down bipole on jam [13] Down bipole below jam [13]

All of these except the two variants of boat on unix have a pseudo-period of 6, a composite of 2 and 3.


The 2 21-bit period 8 oscillators

21-bit P8

Down table on blocker [9] Up table on blocker [11]


The 12 21-bit period 8 pseudo-oscillators

21-bit pseudo-P8

Up ship on blocker [7] Beehive on blocker [9] Down ship on blocker [7] Down cis carrier on blocker [12] Down snake on blocker [11] Up trans carrier on blocker [13]
Up snake on blocker [11] Down trans carrier on blocker [13] Down cis beacon on blocker [12] Up cis carrier on blocker [12] Up cis beacon on blocker [12] Block on Coe's P8 [11]


The 4 21-bit period 10 pseudo-oscillators

21-bit pseudo-p10

Up beacon below pseudo- barber- pole [34] Up beacon on pseudo- barber- pole [34] Down beacon below pseudo- barber- pole [34] Down beacon on pseudo- barber- pole [34]

All of these have a pseudo-period of 10, a composite of 2 and 5.


The 1 21-bit period 15 oscillator

21b P15

Integral eating penta- decathlon [7]


The 22 21-bit period 15 pseudo-oscillators

21-bit period 15 pseudo-oscillators

Penta- decathlon behind long shillelagh [9] Penta- decathlon on long shillelagh [10] Penta- decathlon before long shillelagh [10] Penta- decathlon above long hook w/ tail [9] Penta- decathlon on down boat 2/tail [8] Penta- decathlon below up boat 2/tail [8]
Very long boat on penta- decathlon [7] Cis integral on penta- decathlon [7] Penta- decathlon on up boat w/ tail [8] Penta- decathlon above up boat 2/tail [8] Trans integral on penta- decathlon [8] Penta- decathlon above down boat 2/tail [8]
Penta- decathlon below long shillelagh [9] Boat on block on penta- decathlon [6] Penta- decathlon on long hook w/ tail [9] Penta- decathlon above long shillelagh [9] Tub w/ long tail on penta- decathlon [8] Trans long canoe on penta- decathlon [8]
Cis long canoe on penta- decathlon [7] Trans extra long snake on penta- decathlon [10] Block on penta- decathlon on boat [7] Cis extra long snake on penta- decathlon [9]  


The 1 21-bit period 30 pseudo-oscillator

21b PP30

Tripole on penta- decathlon [11]

This has a pseudo-period of 30, a composite of 2 and 15.



Other sizes: 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26 and larger, 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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Copyright © 1997, 1998, 1999, 2013, 2014 by Mark. D. Niemiec. All rights reserved.
This page was last updated on 2015-02-19.