Original scientific paper

https://doi.org/10.31896/k.26.4

A Triple of Projective Billiards

Hellmuth Stachel orcid.org/0000-0001-5300-4978 ; Vienna University of Technology Institute of Discrete Mathematics and Geometry, Vienna, Austria

Abstract

A projective billiard is a polygon in the real projective plane with a circumconic and an inconic. Similar to the classical billiards in conics, the intersection points between the extended sides of a projective billiard are located on a family of conics which form the associated Poncelet grid. We extend the projective billiard by the inner and outer billiard and disclose various relations between the associated grids and the diagonals, in particular other triples of projective billiards.

Keywords

ellipse; billiard; caustic; Poncelet grid; billiard motion

Hrčak ID:

288262

URI

https://hrcak.srce.hr/288262

Publication date:

28.12.2022.

Article data in other languages: croatian

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