English

Elementary slopes of plane-wide breakout

Dynamical Systems 2019-05-10 v2

Abstract

We consider a mathematical model of the breakout game where R2\mathbb{R}^2 is covered by unit square bricks everywhere except in one place. We introduce elementary blocks (particular sets of bricks) in order to describe a family of periodic (in a breakout-appropriate sense) orbits. Necessary and sufficient conditions for slopes (the initial direction of the ball) to produce these orbits are given.

Keywords

Cite

@article{arxiv.1904.01878,
  title  = {Elementary slopes of plane-wide breakout},
  author = {Yann Jullian},
  journal= {arXiv preprint arXiv:1904.01878},
  year   = {2019}
}

Comments

Replaced symbolic periodicity by relative periodicity. Reworked introduction. 18 pages, 7 figures