Sawmill
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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 a pattern constructed by Alexey Nigin no later than July 2, 2015 in which output from a caber tosser goes into a glider to *WSS converter as a nonstandard sawtooth.