English

Make your Boy surface

Geometric Topology 2020-10-20 v2

Abstract

This is an introductory article about the Boy surface. Boy found 1901 that RP2\mathbb{R}P^2 can be immersed into R3\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.

Cite

@article{arxiv.1303.6448,
  title  = {Make your Boy surface},
  author = {Eiji Ogasa},
  journal= {arXiv preprint arXiv:1303.6448},
  year   = {2020}
}

Comments

16pages, many figures

R2 v1 2026-06-21T23:48:21.162Z