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Teragon
Not to be confused with Tarragon.

A teragon is a self-similar fractal curve that can be produced by replacing each line segment in an initial figure with multiple connected segments, then replacing each of those segments with the same pattern of segments which was used to replace the first figure, and repeating the process an infinite number of times for every line segment in the figure. Teragons are composed of infinitely many segments. Examples of such fractals include the Koch curve and the Peano curve.