Phi-sparker

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A phi-sparker is a sparker that emits phi sparks. These are desirable because phi sparks have many uses, for example reflecting gliders.

x = 15, y = 7, rule = B3/S23 obo$b2o9bo$bo10bo$12bo$13b2o2$12bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 AUTOSTART LOOP 50 GPS 10 PAUSE 3 ]]
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This is the mechanism by which a single pentadecathlon can reflect a glider, such as in the p60 glider shuttle. However, while the pentadecathlon provides a T-nosed spark followed by a V spark in the same manner as a phi spark, not all interactions with a phi spark would work with a pentadecathlon (at least not without destroying the pentadecathlon), so the pentadecathlon is only a moderate phi-sparker. An example of a strong phi-sparker is Tanner's p46. Like other phi-sparkers, it can reflect gliders.

x = 37, y = 26, rule = B3/S23 26b2o$26bo$bo25bo$2bo23b2o$3o$33b2o$33bo$34bo$33b2o$25b2o$25b2o6b2o$24b o7bobo$25b2o6bo$25b2o7b3o$36bo7$25b2o$25b2o2b2o$29bobo$31bo$31b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 AUTOSTART LOOP 80 GPS 10 PAUSE 3 ]]
Tanner's p46 reflecting a glider
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In addition, it can engage in interactions that perturb a phi spark in a way that would destroy a pentadecathlon, such as in the p46 gliderless MWSS gun.

x = 22, y = 10, rule = B3/S23 16bo$b2o6b2o5bo$o2bo4bo2bo3bo$o2bo4bo2bo$o2bo4bo2bo3b5o$b2o6b2o5bobob 2o$15b2o$17b2o$17bo$16b2ob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ]]
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Phi sparkers are occasionally used for domino sparks that are included in the phi spark.[1]

Phi-sparkers are also known for periods 15, 30 (Catagoluehere), 45, 46, 56, 57, 63, 64 (Catagoluehere), 129[2], and 140.[note 1] The three-block shifter emits multiple phi sparks in its evolution, and oscillators have been constructed that use it, but it is unclear if these oscillators count as phi-sparkers.

x = 21, y = 18, rule = B3/S23 4bo13bo$3b3o11b3o$3bob2o4bo5bob2o$4b3o3b3o5b3o$4b2o3b2o2bo4b2o$9bo3bo$9bob2o$ 9b2o4$bo$3o$ob2o$b3o$b3o$b2o8b2o$11b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 GPS 10 PAUSE 3 ]]
One of the smallest phi-sparking spaceships, based on Puffer 2 suppressed by a MWSS and block.
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While the line-of-six spark has the same kind of symmetry as the phi spark, there are no known oscillators that produce line-of-six sparks in the way a phi-sparker does.

See also

Notes

  1. The cell corresponding with the tip of the phi spark is alive at an earlier generation of the oscillator.

References

  1. Matthias Merzenich (July 22, 2020). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  2. GUYTU6J (November 22, 2022). Re: Thread for basic questions (discussion thread) at the ConwayLife.com forums