Copyright

David H. Silver

Published On

2026-04-08

Language

  • English

Print Length

10 pages

THEMA

  • PH
  • PHQ
  • PHR
  • PDZ

BISAC

  • SCI055000
  • SCI015000
  • SCI057000
  • SCI061000
  • SCI075000
  • SCI034000

Keywords

  • Scientific storytelling
  • Conceptual physics
  • Modern physics explained
  • Relativity and quantum mechanics
  • Mathematics in science
  • Deep science for general readers

A Complex (Projective) Billiard Game

Chapter of: Beyond Popular Science

Poncelet’s Porism describes an unexpected property of billiard trajectories between two nested ellipses: if one path returns to its starting point after a finite number of bounces, then all starting points generate periodic trajectories with the same number of bounces. This geometric result connects to elliptic curves in number theory and measure-preserving dynamical systems. The theorem exemplifies how problems in distinct mathematical fields — from billiards to Gelfand’s question about decimal digits — reduce to the same equations when expressed through appropriate frameworks.

Contributors

David H. Silver

(author)
https://orcid.org/0000-0002-3071-304X

David H. Silver is an industrial researcher whose career bridges computer vision, computational biology, and science communication. He studied mathematics, computer science, and biology at the Technion — Israel Institute of Technology as a Rothschild Scholar, and was awarded a Microsoft Research PhD Fellowship for his doctoral work in computational biology at Cambridge, UK. Silver’s peer-reviewed publications span multiple domains: computational biology in Nature and PNAS; computer vision systems in IEEE Transactions on Pattern Analysis and Machine Intelligence; medical AI in Human Reproduction and MIDL; and entertainment analysis in PLoS One. He holds over a dozen patents in depth sensing, medical imaging, and generative AI. His industry positions include Algorithm Engineer at Intel Corporation, ML Researcher at Apple, and CTO/co-founder roles at several technology startups. Silver maintains academic collaborations with researchers worldwide and serves as a peer reviewer for Image and Vision Computing and PNAS.