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
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