An Equation That Draws the Shape of a Pon de Ring Donut

A K Peters/CRC Press eBooks 2026 Book chapter

View at publisher
Authors: Jun Mitani
DOI: 10.1201/9781003670261-6
Cited by: 0

Abstract

Have you ever seen a donut made up of eight round shapes connected together, known as “Pon de Ring”? 1 The shape shown above, which closely resembles it, was drawn by a computer using the following equation: https://www.w3.org/1998/Math/MathML" display="block"> ∑ k = 0 7 exp ⁡ { − 0.7 ( ( x − 6.75 cos ⁡ k π 4 ) 2 + ( y − 6.75 sin ⁡ k π 4 ) 2 + 1.2 z 2 ) } − 0.001 = 0.

Fields of Study & Subjects

Computer Graphics and Visualization Techniques Art Technology and Culture Mathematical and Computational Methods

Publication details

Journal / source
A K Peters/CRC Press eBooks
Pages
30–37
Publication date
17 February 2026
Language
EN
Document type
Book chapter