Convex hull of powers of a complex number, trinomial equations and the Farey sequence

DOI10.1007/BF02142203zbMath0758.11034OpenAlexW2025930476MaRDI QIDQ1183323

Abdul Malik, Serge Dubuc

Publication date: 28 June 1992

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02142203

zbMATH Keywords

convex setsgeometric algorithmsfractalscolor of complex numbercoloring of the unit disknumber of vertices of the convex hull of powers of a complex number

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Convex sets in (2) dimensions (including convex curves) (52A10) Farey sequences; the sequences (1^k, 2^k, dots) (11B57) General theory of distribution modulo (1) (11K06)

Related Items (3)

Trinomials, torus knots and chains ⋮ On the quasi-convexity of trinomial arcs ⋮ Behavior of the trinomial arcs \(B(n,k,r)\) when \(0<\alpha <1\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Convex hull of powers of a complex number, trinomial equations and the Farey sequence