A sqrtgun[note 1] is any glider-emitting pattern which emits its nth glider at a time asymptotically proportional to n². The first examples were constructed by Dean Hickerson around 1991, using periodic circuitry.
The nth glider is released on generation t=40*n2+2029*n-969, so on generation t, it has emitted ⌊√-202980⌋ gliders. Its sliding block mechanism doesn't change in population across cycles, so on the generations of release of a glider, its population is √+1601916 ~ √4. The population fluctuates by a constant amount within cycles, so its population on the tth generation is Θ(√) (like that of all sqrtguns).
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- The name is a pun on "squirt gun" and "sqrt", i.e. "square root".
- Dave Greene (September 15, 2018). Re: Stable signal converters (discussion thread) at the ConwayLife.com forums