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datadataeverywhere comments on Approaching Infinity - Less Wrong Discussion
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It is; I misunderstood, although I don't think your notation is blameless.
Basically, in the sequence triangle->square->pentagon->... appears to be a process that approaches circle as the limit of the number of sides tends towards infinity. My first (and second) time reading through the article I missed that (x) is not circle of x, but rather the [x]-gon of x.