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2011 January 07

Transcendental Objects
Sprouts and parasites

Mitchell Riley was investigating interactions between a perpendicular p20 backrake and dirty Schickoidal puffer. One particular arrangement initially seems rather inconspicuous, but actually harbours an incredible surprise after approximately 1.6 million generations. Shown below is a snapshot after 2 097 152 generations:


What is that unusual oblique protrusion? Mitchell initially thought that it may be a switch engine, but it is clear from the angle that it is not: switch engines travel diagonally, not obliquely. It is, in fact, something that seldom occurs naturally. The gliders from the east-directed Schickoidal puffer have partially annihilated the glider stream from the north-directed backrake. A northeast-directed glider has collided with this stream, causing a messy reaction. It just so happens that the reaction generates another glider, which hits the stream of gliders again, triggering the reaction again, ad infinitum. (In this case, though, outside influence causes the 'parasite' to be terminated at circa 2 million generations.)

Mitchell's parasite on the p8 backrake

He discovered three more parasites, this time on a single p8 backrake. More interestingly, Bill Gosper noticed that two antiparallel backrakes can allow these parasites to reproduce, leading to an entire profusion of parasites on each rake. However, the number of parasites is limited, as they each consume a nonzero proportion of the rake's gliders.

A parasite reproduces in the presence of two backrakes

On a somewhat related topic, Dean Hickerson has found an 'infinite novelty' generator, comprising three p24 rakes. By 724K generations, it has sprouted its first switch-engine, and continues to produce many more switch engines. Indeed, it is probably quadratic, but that hasn't been definitively demonstrated.

Three p24 rakes produce an abundance of complexity