Arnold's problem on paper folding

TL;DR

This paper explores whether folding a square on the plane can increase its perimeter, aiming to introduce the problem to school students and stimulate interest in geometric folding problems.

Contribution

It presents Arnold's problem on paper folding in an accessible way for students, highlighting an interesting geometric question.

Findings

Folding can potentially increase the perimeter of a square.

The paper provides a simple explanation suitable for school students.

It encourages exploration of geometric properties through paper folding.

Abstract

It is a story about the problem whether folding a square on the plane can increase its perimeter. The paper is written primary for school students.