Skip to main navigation Skip to search Skip to main content

Topological Structures Between Two Closed Surfaces Inspired by An Entrance Exam Problem

Research output: Contribution to journalConference articlepeer-review

Abstract

We shall explore with technological tools on a problem we posed in [8], which originated from a college practice entrance question (see [3]). In this paper, we are investigating whether a certain closed surface – inspired by the aforementioned college exam problem and an a¢ ne transformation –is topologically equivalent to a sphere, utilizing the three- dimensional visualization capabilities of computer technology to aid our initial analysis. This technological a¤ordance not only makes our investigation accessible to readers with just an undergraduate mathematics background but also allows us to study this surface in detail, …nally leading us to a rigorous solution to the problem. Our work highlights the essential role that technology plays in advancing and communicating mathematical research.

Original languageEnglish
Pages (from-to)109-123
Number of pages15
JournalProceedings of the Asian Technology Conference in Mathematics
StatePublished - 2024
Event29th Asian Technology Conference in Mathematics, ATCM 2024 - Yogyakarta, Indonesia
Duration: 8 Dec 202411 Dec 2024

Bibliographical note

Publisher Copyright:
© 2024, Mathematics and Technology, LLC. All rights reserved.

Fingerprint

Dive into the research topics of 'Topological Structures Between Two Closed Surfaces Inspired by An Entrance Exam Problem'. Together they form a unique fingerprint.

Cite this