Sawmill

Sawmill is an infinite family of patterns with growth rates log(t), tlog(t), log^*(t), tlog^*(t), log^**(t), tlog^**(t), log^***(t), tlog^***(t), etc., based on three sub-patterns that can be combined in different ways to create different growth rates.

Part 1 (input)

Part 1 is generation 426 of caber tosser 1. It cannot be replaced with a gun, sqrtgun or other super-logarithmic source, because a high population would occur at the start of each cycle, changing the upper asymptotic growth rate.

Part 2 (filter)

The stackable filter was constructed by Alexey Nigin no later than July 2, 2015. A glider on an input lane causes pairs of LWSSs to be shot toward the back of a 117P9H3V0 in the same direction. LWSSs are turned into a loaf, which is then incrementally pulled back to the stationary components. Upon arrival the loaf is destroyed, a glider is released on the output lane and the cycle begins again.

Part 3 (optional)

An oscillator which can convert gliders into rakes is used to construct super-linear growth rates.

See also

• Recursive filter