Elementary slopes of plane-wide breakout
Dynamical Systems
2019-05-10 v2
Abstract
We consider a mathematical model of the breakout game where 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.
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