Difference between revisions of "Kickback"

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A '''kickback''' is any of the two [[2-glider collision]]s resulting in a single glider travelling in the opposite direction to one of the original gliders. In a '''90-degree kickback''', the two gliders collide at right angle, while in a '''180-degree kickback''' they are head-on. Both output gliders are one [[half-diagonal]] away from the [[lane]] of one of the inputs.
A '''kickback''' is any of the two [[2-glider collision]]s resulting in a single glider travelling in the opposite direction to one of the original gliders. In a '''90-degree kickback''', the two gliders collide at right angle, while in a '''180-degree kickback''' they are head-on. Both output gliders are one [[half-diagonal]] away from the [[lane]] of one of the inputs.


The 90-degree kickback is important in the original proof of the existence of a [[universal constructor]] (using an [[elbow ladder]]) and in [[Bill Gosper]]'s [[total aperiodic]], as well as a number of other constructions and [[glider syntheses]]. Thus the term '''kickback reaction''' may also refer to the 90-degree one specifically. The 180-degree kickback is rarely used in [[signal]] [[circuit]]ry or in self-supporting patterns like the [[Caterpillar]] or [[Centipede]], because it is generally less easy to arrange.
The 90-degree kickback is important in the original proof of the existence of a [[universal constructor]] (using an [[elbow ladder]]) and in [[Bill Gosper]]'s [[total aperiodic]], as well as a number of other constructions and [[glider syntheses]]. Thus the term '''kickback reaction''' may also refer to the 90-degree one specifically. The 180-degree kickback is rarely used in [[signal]] [[circuit]]ry or in self-supporting patterns like the [[Caterpillar]] or [[Centipede]], because it is generally less easy to arrange. However, as discovered by [[David Bell]], it can be used to create high-perod oscillators.
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|position    = center
|caption      = A p4284 oscillator based on the 180˚ kickback reaction.
}}


==References==
==References==

Revision as of 00:39, 15 February 2024

x = 7, y = 12, rule = B3/S23 5bo$4bo$4b3o7$b2o$obo$2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBNAIL THUMBSIZE 3 ZOOM 15 WIDTH 500 HEIGHT 400 GPS 20 THEME 6 GRID OFF AUTOSTART T 0 PAUSE 2 T 49 PAUSE 1 LOOP 50 ]]
The 180-degree kickback[1]
(click above to open LifeViewer)
RLE: here Plaintext: here
x = 7, y = 12, rule = B3/S23 5bo$4bo$4b3o7$bo$2o$obo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBNAIL THUMBSIZE 3 ZOOM 15 WIDTH 500 HEIGHT 400 GPS 20 THEME 6 GRID OFF AUTOSTART T 0 PAUSE 2 T 49 PAUSE 1 LOOP 50 ]]
The 90-degree kickback[2]
(click above to open LifeViewer)
RLE: here Plaintext: here

A kickback is any of the two 2-glider collisions resulting in a single glider travelling in the opposite direction to one of the original gliders. In a 90-degree kickback, the two gliders collide at right angle, while in a 180-degree kickback they are head-on. Both output gliders are one half-diagonal away from the lane of one of the inputs.

The 90-degree kickback is important in the original proof of the existence of a universal constructor (using an elbow ladder) and in Bill Gosper's total aperiodic, as well as a number of other constructions and glider syntheses. Thus the term kickback reaction may also refer to the 90-degree one specifically. The 180-degree kickback is rarely used in signal circuitry or in self-supporting patterns like the Caterpillar or Centipede, because it is generally less easy to arrange. However, as discovered by David Bell, it can be used to create high-perod oscillators.

x = 242, y = 245 6boo8boo33bobbo$4bobbo8boo9bo18boo3b6o$4booboboo15bobo18bo9bo$5bobobbo 11bob3obo18bob7obo$bb3obbo14boo4boo14boobobobbobboboboo$bo23boo3bo14b oobo7boboo$boboobobo13boobob4o12bo3bo9bo3bo$oobo4boo12bobbobo15b4ob3o 3b3ob4o$bobo5bo15bobbo20booboboo$boboobobbo19bo15boobb7obboo$oobo5bo6b 3o5boboboo9boo4boo4b3o4boo$3bo4boo4booboo4boo8bo6bo$3boobobo5b3o6bo7b 3o6bobo$23bo6bo10boo7bo$b4obbo15bo5bobboo11boo3b3o$bo3bobobbo12boobbo bboobo10boo4b3ob3o$4booboboo10b3oboo4bo28boo$4bobbo23bo12b3ob3o4boo3b oo$6boo9bobo7b3oboo15b3o3boo$12boo4boo6bobbo20bo$13bo4bo7booboboo6bo$ 10b3o16bobbo5bo$10bo18boo7b3o3boob3o4booboo$45bob5obboobo$48boboo6bo$ 24bobo18boo3b3ob3obo$25boo14boob3o6bobboboo$25bo15boboo7boboo4bo$43boo 6bobobob3o$39b5o3bo3boobbobo$39bo6bobo6boo$41bob4obbo$31bobo6boobo3bob o$32boo12booboo$32bo12$45bobo$46boo$46bo12$59bobo$60boo$60bo12$73bobo$ 74boo$74bo12$87bobo$88boo$88bo12$101bobo$102boo$102bo12$115bobo$116boo $116bo$$115boo$114boo$116bo12$129boo$128boo$130bo12$143boo$142boo$144b o12$157boo$156boo$158bo12$171boo$170boo$172bo3$224boo8boo$214bo8bobo8b obbo$213bobo15booboboo$213bob3obo11boobobo$212boo4boo15bob3o$211bo3boo 5boo10bobo3bo$211b4oboboo12b3obboobo$214boboboo12b3o3boboo$213bobo15b oo5bobo$185boo25bobobo6bo3boobb3o3boobo$184boo26boobb3o3bobobobboboo5b oboo$186bo21bo7b3obbo7bobb3o3bo$208b3o7boobobbobobo3b3obboo$211bo5b3o bboo3bo6bobo$208boobbo5boo15bob4o$208boboo3boo14boobobo3bo$210bo4boob oo4bo6booboboo$210bobb3o3bo4bobo7bobbo$209boob3o9boo8boo$212bobbo12boo $209booboboo12bo$209bobbo16b3o$211boo18bo$199boo16bo$198boo17bobo$200b o16boo5$206b3obo13booboo$205booboobbo5boobo3bobo$207bobobo7bob4obbo$ 217bo6bobo6boo$217b5o3bo3boobbobo$221bo7bobobob3o$219bobobbo7boo4bo$ 213boo4boobbo5bo4boboo$212boo9bo7b4obo$214bo9bo3boo6bo$223b6o4bobo$ 223bo8booboo$223bo$$220boo$219boo7boo$221bo6boo8boo$227bobo8boo$227boo $227boo$219boo$218bobo$218bo$217boo4boo11boo$223bo4b5o4bo$227boo3boo$ 221b5o9b5o$221bo5bobbobbo5bo$223boo11boo$222boobobobbobboboboo$225bob 7obo$225bo9bo$224boo3b6o$229bobbo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBNAIL THUMBSIZE 3 WIDTH 1000 HEIGHT 1000 GPS 20 THEME 6 GRID OFF AUTOSTART T 0 PAUSE 2 T 49 PAUSE 1 LOOP 50 ]]
A p4284 oscillator based on the 180˚ kickback reaction.
(click above to open LifeViewer)

References

  1. Robert Wainwright (March 1971). Lifeline, vol 1, page 4.
  2. Robert Wainwright (September 1973). Lifeline, vol 11, page 10.

External links