The tasty world of irrational numbers - explorative mathematical visualizations generated by AI image models

Research output: Contribution to journalResearch articleContributedpeer-review

Contributors

  • Sebastian Schorcht - , Chair of Primary Education/ Mathematical Education (Author)
  • Lukas Baumanns - , Dortmund University of Technology (Author)
  • Nils Buchholtz - , University of Hamburg (Author)
  • Judith Huget - , University of Hamburg (Author)
  • Franziska Peters - , University of Hamburg (Author)
  • Maximilian Pohl - , University of Duisburg-Essen (Author)

Abstract

In this paper, images containing mathematical ideas that were generated by different image-generating AI models (DALL-E 2, Leonardo.Ai, and Midjourney) are comparatively interpreted from a mathematics aesthetical perspective. Our exploratory study aimed to scrutinize how AI image models visualize abstract mathematical ideas and whether this imagination holds any potential for use in the context of learning mathematics. Two different mathematics-containing prompts, representing different aspects of mathematics, were used as input. Our results show that based on our examples, currently, Midjourney generates the most detailed outcome that can be used as an initial point for discussing mathematical ideas with students in the classroom.

Details

Original languageEnglish
Pages (from-to)272-289
Number of pages18
JournalJournal of Mathematics and the Arts
Volume18
Issue number3-4
Publication statusE-pub ahead of print - 26 Sept 2024
Peer-reviewedYes

External IDs

Scopus 85205057993
ORCID /0000-0002-9898-8322/work/171554077

Keywords

Keywords

  • Artificial intelligence, Generic proof, Geometric series, Mathematics education, image-generating AI