Conway's Nightmare: Brahmagupta and Butterflies
Richard Evan Schwartz
TL;DR
This paper presents a concise conceptual proof of Brahmagupta's formula for cyclic quadrilaterals, highlighting its inspiration from modern mathematical ideas and providing insights into its foundational significance.
Contribution
It offers a novel, succinct proof of Brahmagupta's formula and discusses its conceptual connections to modern mathematics.
Findings
The proof is concise and conceptual.
The proof is inspired by modern mathematical ideas.
The discussion links classical geometry with modern concepts.
Abstract
This note gives a very succinct conceptual proof of Brahmagupta's formula for cyclic quadrilaterals, and then a long discussion about how the proof is inspired by ideas from modern mathematics.
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Taxonomy
TopicsMathematics and Applications · History and Theory of Mathematics · Advanced Theoretical and Applied Studies in Material Sciences and Geometry