Sqrtgun

A sqrtgun 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 following larger stable sqrtgun circuit was assembled by Dave Greene in September 2018, using two different Herschel transceivers.

The nth glider is released on generation t=40*n²+2029*n-969, so on generation t, it has emitted ⌊√160*t+4271881-202980⌋ gliders. Its sliding block mechanism doesn't change in population across cycles, so on the generations of release of a glider, its population is √160*t+4271881+1601916 ~ √10*t4. The population fluctuates by a constant amount within cycles, so its population on the tth generation is Θ(√t) (like that of all sqrtguns).

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(click above to open LifeViewer) RLE: here Plaintext: here

See also

• Filters

• Quadratic
• Exponential
• Recursive

External links

• Sqrtgun at the Life Lexicon