Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
 Already signed up? New to KöMaL?

# Problem A. 711. (December 2017)

A. 711. For which pairs $\displaystyle (m,n)$ does there exist an injective function $\displaystyle f\colon \mathbb{R}^2\to\mathbb{R}^2$ under which the image of every regular $\displaystyle m$-gon is a regular $\displaystyle n$-gon. (Note that $\displaystyle m,n\ge 3$, and that by a regular $\displaystyle N$-gon we mean the union of the boundary segments, not the closed polygonal region.)

Proposed by: Sutanay Bhattacharya, Bishnupur, India

(5 pont)

Deadline expired on January 10, 2018.

### Statistics:

 6 students sent a solution. 5 points: Gáspár Attila, Imolay András, Matolcsi Dávid. 4 points: Schrettner Jakab. 3 points: 2 students.

Problems in Mathematics of KöMaL, December 2017