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