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The pyramid should use laps, which are sometimes referred to as strokes. It is very rare that an expert honing will require "a stroke" applied to only one side of the bevel. Typically, unless...

Did you just edit your question? Pyramids are always laps.

A pace is two steps, just like a lap. Be careful with the honing stroke, as in just one pass. The other side of the bevel usually gets jealous.