arXiv Analytics

Sign in

arXiv:2202.02551 [math.DS]AbstractReferencesReviewsResources

Exploring the Dynamics of the Circumcenter Map

Ronaldo Garcia, Nicholas McDonald, Dan Reznik

Published 2022-02-05Version 1

We study properties of an $n$-times applied "circumcenter map", which sends an $n$-gon to a scaled and rotated copy of itself. Specifically, we explore the geometry of area-expanding and area-contracting regions of induced by this map.

Comments: 12 pages, 13 figures
Categories: math.DS, cs.GR, math.MG
Subjects: 51N20, 37B20
Related articles:
arXiv:2303.11487 [math.DS] (Published 2023-03-20)
On the properties of the mean orbital pseudo-metric
arXiv:2506.05541 [math.DS] (Published 2025-06-05, updated 2025-06-24)
The coordinate functions of the Heighway dragon curve
arXiv:1402.3408 [math.DS] (Published 2014-02-14)
On the quotient space of a generalized action of a generalized group