Difference between revisions of "P5 phase shifter"

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|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 18 GPS 3 HEIGHT 500 ]]
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'''p5 phase shifter''' is a {{period|5}} [[oscillator]] that can provide a domino spark; when it does, it gets shifted three generations forward, allowing for 5n+3 [[LCM]]-type oscillators. The oscillator itself was discovered by [[Dean Hickerson]] in {{year|1997}}, being among the first oscillators found with [[dr]].<ref>{{cite web|title=New Billiard Tables|url=https://conwaylife.com/ref/DRH/nbt.html|author=Dean Hickerson}}</ref> The phase-shifting reaction was found by [[Matthias Merzenich]] on August 13, {{year|2021}}.<ref name="post134826" />
'''p5 phase shifter''' is a {{period|5}} [[oscillator]] that can provide a domino spark; when it does, it gets shifted three generations forward, allowing for 5n+3 [[LCM]]-type oscillators. The oscillator itself was discovered by [[Dean Hickerson]] in {{year|1997}}, being among the first oscillators found with [[dr]].<ref>{{cite web|title=New Billiard Tables|url=https://conwaylife.com/ref/DRH/nbt.html|author=Dean Hickerson}}</ref> The phase-shifting reaction was found by [[Matthias Merzenich]] on August 13, {{year|2021}}.<ref name="post134826" />

Latest revision as of 16:58, 28 February 2026

p5 phase shifter
x = 9, y = 12, rule = B3/S23 3bobo$2bob2o$2bo3b2o$2ob2o3bo$bobob3o$o$4obo$5bo$2b2o$2bo$3bo$2b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ THUMBSIZE 2 ZOOM 30 GPS 3 HEIGHT 500 ]]
View static image
Pattern type Oscillator
Number of cells 31
Bounding box 9 × 12
Period 5 (mod: 5)
Heat 2.8
Volatility 0.20 | 0.20
Kinetic symmetry n
Discovered by Dean Hickerson
Year of discovery 1997

p5 phase shifter is a period-5 oscillator that can provide a domino spark; when it does, it gets shifted three generations forward, allowing for 5n+3 LCM-type oscillators. The oscillator itself was discovered by Dean Hickerson in 1997, being among the first oscillators found with dr.[1] The phase-shifting reaction was found by Matthias Merzenich on August 13, 2021.[2]

The snake motif can be replaced with a fishhook for added clearance at the cost of increasing the population from 31 cells to 32.

Rephasing reactions

Here are examples of SKOPs which use the phase-shift capabilities

x = 16, y = 12, rule = B3/S23 3b2o4b2o$4bo6bo$2bo5bo$2b2o4bo3bo$8bo3b4o$3obo5bo$o2bobo$bobob3o$2ob2o 3bo$2bo3b2o$2bob2o$3bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] [[ THUMBSIZE 2 ZOOM 20 GPS 16 HEIGHT 500 ]]
p18 phase shifter with Caterer, tied for SKOP18 with p18 bi-block hassler. Shows the aircraft carrier version of the oscillator
(click above to open LifeViewer)
Catagolue: here
x = 23, y = 22, rule = B3/S23 3bobo$2bob2o$2bo3b2o$2ob2o3bo$bobob3o$o2bobo$3obo4bo$8bobo$2b2o5bo$2bo $obo10b2o$2o3b2o5bo2bo$5b2o5bo2bo$12bobo$13bobo$12bo2bo5b2o$12bo2bo5b 2o$13b2o2$18bo$17bobo$18bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] [[ THUMBSIZE 2 ZOOM 18 GPS 16 HEIGHT 500 ]]
64P63, uses 32P21
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
x = 22, y = 19, rule = B3/S23 3bobo$2bob2o$2bo3b2o$2ob2o3bo$bobob3o$o2bobo15bo$3obo14b3o$18bo$2b2o14b2o$2bo $obo5b3o$2o7bo$16bo$15b3o2$6b2o$7bo$4b3o$4bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] [[ THUMBSIZE 2 ZOOM 18 GPS 16 HEIGHT 500 ]]
54P108, uses 22P36
(click above to open LifeViewer)
Catagolue: here
x = 30, y = 24, rule = B3/S23 3bobo$2bob2o$2bo3b2o$2ob2o3bo$bobob3o$o2bobo$3obo2$2b2o$2bo$obo7b2o$2o 7bo2bo$12bo$9b3o2$7b2o12b2o$7b2o12b2o4$4b2o18bo$2o4b4o10b2o2b2ob3o$2o 2b2ob3o10b2o4b4o$4bo19b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] [[ THUMBSIZE 2 ZOOM 14 GPS 16 HEIGHT 500 ]]
79P288, uses Two blockers hassling R-pentomino
(click above to open LifeViewer)
Catagolue: here
x = 59, y = 45, rule = B3/S23 23b2o16b2o$23b2o7b2o7b2o$32b2o5$7b2o48b2o$7b2o48b2o2$3bo$2bobo20bo14b o$2bobo20b3o10b3o$2o2b2o$bobo2b2o18b3o8b3o$o2b2obobob2o$b2o3bob2obo$3b 2obo$3bob2o$15b2o32b2o$15b2o32b2o4$15b2o32b2o$15b2o32b2o5$26b3o8b3o2$ 25b3o10b3o$25bo14bo3$7b2o48b2o$7b2o48b2o5$32b2o$23b2o7b2o7b2o$23b2o16b 2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 16 ZOOM 8 THUMBSIZE 2 HEIGHT 500 ]]
115P398, uses 84P199 and the snake form of the oscillator.[3]
(click above to open LifeViewer)
Catagolue: here


Other period-multiplying rephasings which aren't SKOP include the following[4]:

Original Oscillator Original Period Original Offset from 5n Multiplied period
Mold 4 5n+4 8
34P7 7 5n+2 28
p37 lumps of muck hassler 37 5n+2 148
Twin bees shuttle 46 5n+1 138
p47 pre-pulsar shuttle 47 5n+2 188

Note rephasings do not work to multiply periods for most standard sparking oscillators with periods of the form 5n+3 as the period will ultimately line up with the spark every time. Likewise, the rephasing will not work outright for oscillators with periods which are multiples of 5 because the oscillator will no longer be in phase after the first interaction.

References

  1. ↑ Dean Hickerson. "New Billiard Tables".
  2. ↑ Matthias Merzenich (August 13, 2021). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  3. ↑ Period1GliderGun (August 25, 2024). Re: Smallest Known Oscillators to p106 (and Beyond) (discussion thread) at the ConwayLife.com forums
  4. ↑ WhiteHawk (October 17, 2025). Re: Suggested LifeWiki edits (discussion thread) at the ConwayLife.com forums

External links

Retrieved from "https://conwaylife.com/w/index.php?title=P5_phase_shifter&oldid=171867"