Period-156 glider gun

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Period-156 glider gun
x = 42, y = 42, rule = B3/S23 20b2o$20b2o$6b2o$5b2o$7bo$3bo$2b2o18b2o$2bobo17bo$22bo$23bo9$32bo2bo$ 33b3o$2o38b2o$2o38b2o$6b3o$6bo2bo9$18bo$19bo$19bo17bobo$18b2o18b2o$38b o$34bo$35b2o$34b2o$20b2o$20b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ ZOOM 10 HEIGHT 600 ]]
Pattern type Gun
Number of cells 36
Bounding box 42 × 42
Period 156
Barrels 8
Discovered by Jason Summers
Year of discovery 2004

Period-156 glider gun is a glider gun with 8 barrels that was found by Jason Summers on October 28, 2004.[1] In terms of its 36 cells it is the same size as the Gosper glider gun, but the Simkin glider gun is still smaller at 29 cells. As such, it is clear to see it is also the smallest gun of this period.[2] It is capable of pulling beacons.

The gun first appeared semi-naturally in January 2015 in a soup found by Dongook Lee using apgsearch,[3] making it the first semi-natural gun.[4]

Derivative oscillators

There are several ways in which the period-156 gun can be suppressed to form oscillators.

Period-156

It is trivially possible to cap the eight glider streams with an eater 1 to form an oscillator. The form with all eight barrels capped as close as possible to the main body of the gun was found by Jason Summers, again on 28 October 2004, in a RandomAgar search.[5]

#N 92P156 #O Jason Summers, 31 October 2004 #C Oscillator, or actually an eight-barrelled glider gun, #C discovered in a RandomAgar search. Also known as "Jason's p156". #C http://www.conwaylife.com/wiki/92P156 x = 42, y = 42, rule = B3/S23 20b2o$20b2o4$8b2o22b2o$9bo12b2o8bo$9bobo10bo7bobo$5bo4b2o10bo7b2o4bo$ 5b3o15bo10b3o$8bo24bo$7b2o24b2o7$32bo2bo$33b3o$2o38b2o$2o38b2o$6b3o$6b o2bo7$7b2o24b2o$8bo24bo$5b3o10bo15b3o$5bo4b2o7bo10b2o4bo$9bobo7bo10bob o$9bo8b2o12bo$8b2o22b2o4$20b2o$20b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ZOOM 8 HEIGHT 460 ]]
The minimally-capped period-156 glider gun (click above to open LifeViewer)
RLE: here Plaintext: here
Catagoluehere

Period-312

In addition to creating period-156 oscillators, there exist several mechanisms which permit period-312 oscillators to be created.

One simple period-doubling method which can also be used on other guns to make higher-period oscillators is via the use of the boat-bit reaction. Objects such as two correctly-placed snakes can allow for this in much the same way as it does for other guns, however a more intriguing option is to use a loaf or pond. If placed correctly, this will result in two gliders being converted into two boats simultaneously, which are then annihilated by the next set. A gun using this reaction with two ponds and two loaves appeared semi-naturally on September 22, 2018, in a soup submitted by carybe, forming what is currently the highest-period oscillator to have occurred semi-naturally,[6] and the paired boat-bit reaction continues to be found in many variants of the period-156 glider gun recorded in Catagolue.[7]

Perhaps a more interesting option than boat-bits is to use a reaction in which the two-glider units emitted by this oscillator are capable of flipping the position of a beehive. When placed in the correct position, another type of period-312 oscillator can be created with a higher kinetic symmetry than the boat-bit versions, as well as a lower minimum population of 60. This reaction was discovered by Dave Greene on 1 November 2004.

x = 42, y = 42, rule = B3/S23 20b2o$20b2o4$9b2o$8bo2bo10b2o$9b2o11bo$22bo12bo$23bo10bobo$34bobo$35bo 7$32bo2bo$33b3o$2o38b2o$2o38b2o$6b3o$6bo2bo7$6bo$5bobo$5bobo10bo$6bo 12bo$19bo11b2o$18b2o10bo2bo$31b2o4$20b2o$20b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ZOOM 8 HEIGHT 460 ]]
Dave Greene's period-312 capped gun oscillator (click above to open LifeViewer)
RLE: here Plaintext: here
Catagoluehere

Glider synthesis

A 16-glider synthesis was discovered for this gun by Goldtiger997 on June 2, 2019,[8] which was improved to 14 gliders the next day by Oscar Cunningham.[9]

x = 74, y = 80, rule = B3/S23 66bobo$66b2o$67bo14$39bo11bobo$39bobo9b2o$39b2o11bo3$54b3o$54bo$55bo7$ 51bo$49b2o$50b2o4$23bo$24bo$22b3o46b3o$bo69bo$2bo69bo$3o46b3o$49bo$50b o4$22b2o$23b2o$22bo7$18bo$19bo$17b3o3$21bo11b2o$21b2o9bobo$20bobo11bo 14$6bo$6b2o$5bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THEME Book ZOOM 8 WIDTH 650 HEIGHT 650 AUTOSTART GPS 16 T 0 PAUSE 5 T 95 PAUSE 1 T 299 PAUSE 2 LOOP 300 ]]
14-glider synthesis of period-156 glider gun (click above to open LifeViewer)
RLE: here Plaintext: here

References

  1. Jason Summers' jslife pattern collection. Retrieved on October 28, 2020.
  2. Chris Cain. "Attempt at organising small glider guns in Conway's Game of Life". Retrieved on 2018-10-04.
  3. Dongook Lee (January 9, 2015). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  4. Dongook Lee (January 9, 2015). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  5. Jason Summers' jslife pattern collection. Retrieved on March 14, 2020.
  6. Ian07 (September 22, 2018). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  7. Adam P. Goucher. "yl312_1_40_36397c30a42c720a5055f5bc3b267c63". Retrieved on 2018-09-22.
  8. Goldtiger997 (June 2, 2019). Re: Thread for basic questions (discussion thread) at the ConwayLife.com forums
  9. Oscar Cunningham (June 3, 2019). Re: Thread for basic questions (discussion thread) at the ConwayLife.com forums

External links