Abstract geometrical computation 11: Slanted firing squad synchronisation on signal machines

Firing Squad Synchronisation on Cellular Automata is the dynamical synchronisation of finitely many cells without any prior knowledge their range. This can be conceived as a signal with an infinite speed. Most proposed constructions naturally translate to continuous setting machines and generate fractal figures accumulation horizontal line, i.e. synchronously, in space-time diagram. Signal are studied series articles named Abstract Geometrical Computation. In present article, we design machine that able synchronise/accumulate non-infinite slope. The slope encoded initial configuration. done by constructing tree such each node computes way expands. interest computation do away constraint discrete space, while tackling new difficulties from space. this paper particular provide basic tools for further study computable lines model.