Exploring the Dynamics of the Circumcenter Map.

Bibliographic Details
Title: Exploring the Dynamics of the Circumcenter Map.
Authors: McDonald, Nicholas1 (AUTHOR), Garcia, Ronaldo2 (AUTHOR), Reznik, Dan3 (AUTHOR) dreznik@gmail.com
Superior Title: Mathematical Intelligencer. Sep2023, Vol. 45 Issue 3, p232-241. 10p.
Subject Terms: *TRIANGLES, *SPHERICAL projection, *PLANE curves
Abstract: Let HT Mk ht denote I k i successive applications of the Miquel map. As shown above, HT R3 ht is similar to HT R ht . The circumcenter map can be generalized to the HT Xk ht -map, where HT Xk ht is some triangle center (see [[3]]). A question not addressed here is whether a certain HT Xk ht -map is integrable in the sense of [[1], [5]]. [Extracted from the article]
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