Beacon variants

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This page lists selected stator variants of the period-2 oscillator beacon, many of which have appeared frequently in random starting configurations.

Beacon on some induction coil

Several induction coils with a line of four or six can be added to beacon. Naturally, some of the more common variants are a result of an active region hitting a beacon acting as a boat-bit; see relevant note for details.

Pattern Identifiers Natural commonness Glider synthesis
Viewer Name apgcode Niemiec Pentadecathlon Position in Achim Flammenkamp's census[1] Position in Adam P. Goucher's Catagolue[2] Frequency class Cost in gliders Info
x = 4, y = 7, rule = B3/S23 2b2o$3bo$o$2o2$4o$o2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 32 THUMBSIZE 4 GPS 1 AUTOSTART LOOP 2 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here
Cis-beacon on table; Up beacon on table xp2_318c0f9 12bcta1 12P2.2 21st oscillator 12th period-2 oscillator 28.7 6 -
x = 6, y = 7, rule = B3/S23 4b2o$5bo$2bo$2b2o2$4o$o2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 32 THUMBSIZE 4 GPS 1 AUTOSTART LOOP 2 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here
Trans-beacon on table; Down beacon on table xp2_wbq23z32 12bcta2 12P2.4 22nd oscillator 11th period-2 oscillator 28.6 5 Found in January 2020.[3]
x = 4, y = 8, rule = B3/S23 2b2o$3bo$o$2o2$4o$o2bo$b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 32 THUMBSIZE 4 GPS 1 AUTOSTART LOOP 2 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here
Cis-beacon on cap; Up beacon on cap xp2_318c0f96 14bcct1 14P2.5 32nd oscillator 22nd period-2 oscillator 30.7 6 -
x = 6, y = 8, rule = B3/S23 2o$o$3bo$2b2o2$2b4o$2bo2bo$3b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 32 THUMBSIZE 4 GPS 1 AUTOSTART LOOP 2 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here
Trans-beacon on cap; Down beacon on cap xp2_318czw3553 14bcct2 12P2.4 49th oscillator 26th period-2 oscillator 32.3 5 Found in July 2020.[4]
x = 5, y = 8, rule = B3/S23 2b2o$3bo$o$2o2$4o$o3bo$3b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 32 THUMBSIZE 4 GPS 1 AUTOSTART LOOP 2 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here
Cis-beacon up on long bookend; Up beacon on up long bookend xp2_3hu0og26 14bcle1 14P2.8 31st oscillator 21st period-2 oscillator 30.6 6 -
x = 6, y = 8, rule = B3/S23 4b2o$5bo$2bo$2b2o2$4o$o3bo$3b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 32 THUMBSIZE 4 GPS 1 AUTOSTART LOOP 2 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here
Trans-beacon up on long bookend; Down beacon on down long bookend xp2_03lk46z6401 14bcle4 14P2.15 49th oscillator 31st period-2 oscillator 32.6 6 -
x = 5, y = 8, rule = B3/S23 2o$o$3bo$2b2o2$4o$o3bo$3b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 32 THUMBSIZE 4 GPS 1 AUTOSTART LOOP 2 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here
Cis-beacon down on long bookend; Up beacon on down long bookend xp2_318c0fho 14bcle3 14P2.6 35th oscillator 23th period-2 oscillator 30.9 6 -
x = 7, y = 8, rule = B3/S23 2o$o$3bo$2b2o2$2b4o$2bo3bo$5b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 32 THUMBSIZE 4 GPS 1 AUTOSTART LOOP 2 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here
Trans-beacon down on long bookend; Down beacon on up long bookend xp2_w8o0uh3z32 14bcle2 14P2.10 40th oscillator 25th period-2 oscillator 31.9 5 -
x = 7, y = 7, rule = B3/S23 2o$o$3bob2o$2b2obo$5bo$2b3o$2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 32 THUMBSIZE 4 GPS 1 AUTOSTART LOOP 2 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here
Beacon on cover; Beacon and two tails; ?16?450 xp2_wbq2sgz32 14bccv 14P2.17 49th oscillator 46th period-2 oscillator 34.8 9 -
x = 6, y = 8, rule = B3/S23 3b2o$4bo$bo$b2o2$b4o$o4bo$2o2b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 32 THUMBSIZE 4 GPS 1 AUTOSTART LOOP 2 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here
Cis-beacon on dock; Up beacon on dock xp2_j1u062goz11 16bcdk1 16P2.20 20th oscillator 13th period-2 oscillator 28.7 4 Found in January 2020.[3]
x = 7, y = 8, rule = B3/S23 5b2o$6bo$3bo$3b2o2$b4o$o4bo$2o2b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 32 THUMBSIZE 4 GPS 1 AUTOSTART LOOP 2 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here
Trans-beacon on dock; Down beacon on dock xp2_03lk453z6401 16bcdk2 16P2.21 30th oscillator 18th period-2 oscillator 29.9 5 Found in January 2020.[5]
5b2o$o2bo2bo$6ob2$2b2o3b$3bo3b$o6b$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 32 THUMBSIZE 4 GPS 1 AUTOSTART LOOP 2 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here
23P2[note 1]; Trans-beacon on bookend siamese table; Down beacon on up bookend siamese table; ?17?691 xp2_09v0c813z321 17bcbta2 17P2.47 44th oscillator 42nd period-2 oscillator 34.1 10 -
4b2o$2b3obo$bo4bo$2b4o2$2b2o$3bo$o$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 32 THUMBSIZE 4 GPS 1 AUTOSTART LOOP 2 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here
Racetrack and ortho-beacon xp2_04aab96zc813 18-bit P2 #165 18P2.334 - 52nd period-2 oscillator 35.5 9 -
x = 7, y = 9, rule = B3/S23 3b2o$4bo$bo$b2o2$b4o$o4bo$b3obo$3bob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 32 THUMBSIZE 4 GPS 1 AUTOSTART LOOP 2 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here
Cis-beacon on anvil; Up beacon on up anvil xp2_0c813z255d1e8 19bcan1 19P2.104 24th oscillator 15th period-2 oscillator 29.1[note 2] 6 -
b2o5b$bo6b$4bo3b$3b2o3b2$b4o3b$o4bo2b$2o2bobob$4bo2bo$5bobo$6bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 24 THUMBSIZE 4 GPS 1 AUTOSTART LOOP 2 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here
20P2[note 1]; Mango with beacon on dock; Up beacon on down dock w/ down mango; ?21?004 xp2_wgj1u0og26z25421 21bcdkcg 21P2.1593 34th oscillator 24th period-2 oscillator 31.2[note 3] 6 -

Alternative bushing of beacon

A common alternative bushing of the diagonal on-off features a line of five with a terminal dent. When analyzed in isotropic non-totalistic notation, one of the rotor cells turns ON via B3a and OFF via -S4q as in the original beacon, but the other rotor cell uses B3j and -S4k. They are shown in the following table.

Pattern Identifiers Natural commonness Glider synthesis
Viewer Name apgcode Niemiec Pentadecathlon Position in Achim Flammenkamp's census[1] Position in Adam P. Goucher's Catagolue[2] Frequency class Cost in gliders Info
9b$4b2o3b$4bobo2b$bo5bo$b5obo$6bo2b$3bo5b$3b2o4b$9b! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 32 THUMBSIZE 4 GPS 1 AUTOSTART LOOP 2 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here
Mangled 1 beacon; Pre-block on very long table w/feather xp2_c88b9iczw32 16pvtaft 16P2.88 - 82nd period-2 oscillator 37.2 10 -
x = 7, y = 7, rule = B3/S23 3bo$b3o$o5bo$ob5o$bo$4bo$3b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 32 THUMBSIZE 4 GPS 1 AUTOSTART LOOP 2 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here
21P2[note 1]; Pre-block on very long table w/tail; ?16?195 xp2_8e1t2gozw23 16pvtatl 16P2.91 38th oscillator 27th period-2 oscillator 32.5 6 -
2b2o3b$bobo3b$o2bob2o$2obo2bo$bobo3b$bo2bo2b$2b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 32 THUMBSIZE 4 GPS 1 AUTOSTART LOOP 2 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here
1 beacon; Pre-block on very long table w/tail siamese feather; ?18?187 xp2_ca9baiczw32 18pvtatf 18P2.465 32nd oscillator 16th period-2 oscillator 29.4[note 4] 5 -
x = 7, y = 7, rule = B3/S23 3bo$b5o$o5bo$5obo$5bo$2bo$2b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 32 THUMBSIZE 4 GPS 1 AUTOSTART LOOP 2 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here
25P2[note 1]; Pre-block on very long table w/tail siamese tail; ?18?651 xp2_caabaiczw32 18pvtatt 18P2.471 49th oscillator 39th period-2 oscillator 34.0 9 -
x = 8, y = 7, rule = B3/S23 4bo$2o2b3o$o6bo$b5obo$6bo$3bo$3b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 32 THUMBSIZE 4 GPS 1 AUTOSTART LOOP 2 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here
24P2[note 1]; Pre-block on very long table w/tail and head; ?18?688 xp2_6a88baiczx32 18pvtath 18P2.420 49th oscillator 48th period-2 oscillator 35.4 8 goldenratio found a 9-glider synthesis of this oscillator on November 10, 2020,[7] and iNoMed found an 8-glider synthesis in 2021.[8]
x = 7, y = 8, rule = B3/S23 2b2o$bo2bo$bobo$2obo2bo$3bob2o$2obo$o2bo$b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 32 THUMBSIZE 4 GPS 1 AUTOSTART LOOP 2 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here
22P2[note 1]; Pre- block on very long table w/ tail and curl; ?22?238 xp2_69b8baiczx32 20pvtatc 20P2.2254 44th oscillator 30th period-2 oscillator 32.6 5 -
x = 8, y = 7, rule = B3/S23 b2ob2o$obobobo$o6bo$b5obo$6bo$3bo$3b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 32 THUMBSIZE 4 GPS 1 AUTOSTART LOOP 2 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here
26P2[note 1]; Pre-block on very long table w/feather and curl; ?20?423 xp2_69b8b9iczx32 20pvtafc 20P2.2235 49th oscillator 44th period-2 oscillator 34.4 9 -

Notes

  1. 1.0 1.1 1.2 1.3 1.4 1.5 1.6 Name coined in 2009 by LifeWiki editor (see this talk), now discarded due to not indicating minimum population as one may expect.[6]
  2. A possible predecessor of cis-beacon on anvil consists of a common evolutionary sequence with 13,484 occurrences hitting a beacon in a snake-type catalysis:
    x = 6, y = 12, rule = B3/S23 2b2o$3bo$o$2o4$b3o$bo2bo$5bo$5bo$5bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 16 ]]
    (click above to open LifeViewer)
    RLE: here Plaintext: here
  3. A possible predecessor of mango with beacon on dock consists of a common evolutionary sequence hitting a beacon:
    x = 13, y = 5, rule = B3/S23 9b3o$2b2o4bo3bo$3bo3bo$o6bo$2o5b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 16 ]]
    (click above to open LifeViewer)
    RLE: here Plaintext: here
  4. A possible dirty predecessor of 1 beacon consists of pi + traffic light + blinker:
    x = 15, y = 12, rule = B3/S23 10b3o$10bobo$10bobo$4bo$4bo9bo$4bo9bo$14bo$3o3b3o2$4bo$4bo$4bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 16 ]]
    (click above to open LifeViewer)
    RLE: here Plaintext: here

References

  1. 1.0 1.1 Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on June 7, 2022.
  2. 2.0 2.1 Adam P. Goucher. "Statistics". Catagolue. Retrieved on June 7, 2022.
  3. 3.0 3.1 Ian07 (January 31, 2020). Re: 4 glider syntheses (discussion thread) at the ConwayLife.com forums
  4. Ian07 (July 18, 2020). Re: Randomly enumerating glider syntheses (discussion thread) at the ConwayLife.com forums
  5. Ian07 (January 4, 2020). Re: Soup-based syntheses (discussion thread) at the ConwayLife.com forums
  6. Dave Greene (March 18, 2021). Re: Thread for basic questions (discussion thread) at the ConwayLife.com forums
  7. goldenratio (November 10, 2020). Message in #cgol on the Conwaylife Lounge Discord server
  8. iNoMed (May 7, 2021). Message in #bots-and-mute-this on the Conwaylife Lounge Discord server