Make your Boy surface

TL;DR

This paper introduces a simple paper craft method to construct the Boy surface, an immersion of the real projective plane into three-dimensional space, and provides a visual demonstration via a website.

Contribution

The paper presents a novel, accessible paper craft technique for constructing the Boy surface and offers visual resources online for educational purposes.

Findings

Successful paper craft construction of the Boy surface

Creation of an instructional movie and online resource

Enhanced understanding of the Boy surface through visual demonstration

Abstract

This is an introductory article about the Boy surface. Boy found 1901 that $\mathbb{R}P^2$ can be immersed into $\mathbb{R}^3$, and published it. (The image of) the immersion is called the Boy surface after Boy's discovery. We have created a way to construct the Boy surface by using a pair of scissors, a piece of paper, and a strip of scotch tape. In this article we introduce the way. Furthermore, we make a movie to show the paper-craft actually, and put it in a website. One can find the website by typing in the author's name or the title of this article in the search engine.