Pentagram Configurations for Pentagons and Hexagons

Abstract

We prove the projective equivalence between a pentagon and its image via the pentagram map, respectively between a hexagon and its image via the square of the pentagram map.

MSC:

• Primary 51M04
• Secondary 51A05

ACKNOWLEDGMENTS

The thoughtful feedback from the two anonymous referees has considerably improved the exposition of this article. I would like to thank the referees and this Monthly’s editors for their help during the review process.

Additional information

Notes on contributors

Alexandru Tupan

ALEXANDRU TUPAN received his Ph.D. in mathematics from Johns Hopkins University. He is currently a professor of mathematics at the University of Wisconsin, River Falls. His mathematical interests are in the areas of algebra and geometry with an emphasis on number theory and arithmetic geometry. In his free time, he enjoys taking nature walks with Eun Young and their children Angela and Andrei.