Blown up by an equilateral: Poncelet triangles about the incircle and their degeneracies

Published 28 Sep 2024 in math.DS and cs.CG | (2409.19464v2)

Abstract: We tour several harmonious Euclidean properties of Poncelet triangles inscribed in an ellipse and circumscribing the incircle. We also show that a number of degenerate behaviors are triggered by the presence of an equilateral triangle in the family.

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