Bipole

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Bipole
3b2o$2bobo2$obo$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ LOOP 2 GPS 2 THUMBSIZE 2 ]]
Pattern type Oscillator
Oscillator type Muttering moat
Family Barberpole
Number of cells 8
Bounding box 5 × 5
Frequency class 21.7
Period 2
Mod 1
Heat 4
Volatility 0.40
Strict volatility 0.40
Rotor type Pole 2
Discovered by MIT group
Year of discovery 1970

The bipole is the barberpole of length 2 and is thus an oscillator of period 2. It is the smallest possible barberpole. Its rotor is identical to blinker and fore and back.

Adding one cell in the middle gives integral sign, while adding two cells gives very long ship.

The bipole is the fifth smallest of all oscillators, and the only oscillator with a minimum population of 8 cells.

x = 45, y = 38, rule = B3/S23 35bo2b2o$35b4obo$40bo$8bo24b7ob2o$8b3o21bo6bobo2bo$11bo20b2o2b2obo3b2o $10b2o15b2o7b2ob2o$4b2o21bo$5bo23bo$5bobo17b5o$6b2o17bo$28b4o$12b2o8b 2o4bo2bo4b2o$12b2o8bobo11b2o2$17b3o4bobob2o$9b2o6b3ob2o2b2ob2o$9b2o5bo 2bo$2o13bobo$bo7b2o3b2obobo4bo$bobo5b2o6bob3o2bo$2b2o9bo3b3o19b2o$14bo 2bo21bo$15b2o23b3o$42bo6$27b2o$27bo$28b3o$30bo$16b2o$16bo$17b3o$19bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 12 THUMBSIZE 2 ZOOM 10 WIDTH 600 HEIGHT 480 THEME Book AUTOSTART T 0 PAUSE 3 T 184 PAUSE 1 LOOP 185 ]]
An unusual use of a bipole in a period-736 glider gun, where a snake-type catalyst is needed, but using a still life would interfere with another part of the gun[1]
(click above to open LifeViewer)
RLE: here Plaintext: here

Construction

x = 34, y = 31, rule = B3/S23 obo$b2o16bo$bo15b2o$18b2o5$32b2o$31bobo2$29bobo$29b2o3$13b2o$13bobo$13bo11$24b3o$24bo$25bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 460 THEME Book ZOOM 12 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 60 PAUSE 1 T 69 PAUSE 2 LOOP 70 ]]
A 4G synthesis of the bipole[2]
(click above to open LifeViewer)

On April 19, 2022, a 4-glider synthesis of the bipole was submitted to Catagolue by Carson Cheng.[3] However, because he did not further publicize his discovery at the time, it remained unnoticed by the wider community until June of that year.[4]

x = 112, y = 44, rule = B3/S23 107bobo$107b2o$108bo2$37bo29bo29bo$36bo29bo29bo$36b3o27b3o27b3o$50bo$49bo$49b3o6$2o$obo2$2bobo22bo13b2o14bo13b2o14bo13b2o$3b2o22b2o12bobo13b2o12bobo13b2o12bobo$26bobo12bo14bobo12bo14bobo12bo10$80b2o28b2o$79b2o28b2o$81bo29bo2$85b2o$85bobo$85bo5$18b2o$17bobo$19bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 1000 HEIGHT 400 THEME Book ZOOM 8 AUTOSTART GPS 12 T 0 PAUSE 1 T 16 PAUSE 5 T 33 PAUSE 2 T 60 PAUSE 1 T 73 PAUSE 1 T 79 PAUSE 1 LOOP 80 ]]
Five-glider syntheses[5]
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Occurrence

See also: List of common oscillators

The bipole is the seventh most common oscillator in Achim Flammenkamp's census, being less common than the clock and pentadecathlon but more common than the quadpole.[6] It is the seventh most common oscillator on Adam P. Goucher's Catagolue.

There is a three-glider collision with an occurrence of bipole in the ash.[7] Bipole occurs in final patterns of two collisions in the octo3obj database.[8]

See also

References

  1. Tanner Jacobi (November 8, 2017). Re: Execution of Old Guns by Variable-Speed Firing Squad (discussion thread) at the ConwayLife.com forums
  2. shinjuku (#2349746851) (April 19, 2022). Job triggered by Adam P. Goucher at GitLab Catagolue project.
  3. Carson Cheng (July 15, 2022). Message in #cgol on the Conwaylife Lounge Discord server
  4. Ian07 (June 12, 2022). Re: 4 glider syntheses (discussion thread) at the ConwayLife.com forums
  5. The 1 eight-bit period 2 oscillator at Mark D. Niemiec's Life Page (download pattern file: 0/8bp.rle)
  6. Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
  7. Headerless RLE: o$b2o$2o25$73bo$71b2o$72b2o$68bo$69bo$67b3o!
  8. 2o7b2o$2o7b2o2$2o7b2o$2o7b2o2$11b3o$6b3o2bo$12bo! and 2o$2o4$3b2o$2bo2bo2b2o$3b2o3b2o2$4bo$3b2o$3bobo!

External links