Beacon variants

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This page lists 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.

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 -
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 -
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 -

[note 1]

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$2b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 32 THUMBSIZE 4 GPS 1 AUTOSTART LOOP 2 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here
 1 beacon; Pre-block on very long table w/tail siamese feather; ?18?187 xp2_ca9baiczw32 18pvtatf 18P2.465 32nd oscillator 16th period-2 oscillator 29.4 7 -
x = 7, y = 7, rule = B3/S23 3bo$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$3b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 32 THUMBSIZE 4 GPS 1 AUTOSTART LOOP 2 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here
 24P2[note 1]; Pre-block on very long table w/tail and head; ?18?688 xp2_6a88baiczx32 18pvtath 18P2.420 49th oscillator 48th period-2 oscillator 35.4 8 -
x = 7, y = 8, rule = B3/S23 2b2o$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 Name not recommended due to not indicating minimum population.[3]

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. ↑ Dave Greene (March 18, 2021). Re: Thread for basic questions (discussion thread) at the ConwayLife.com forums
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