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- W4310426770 abstract "We extend previously known two-dimensional multiplication tiling systems that simulate multiplication by two natural numbers $p$ and $q$ in base $pq$ to higher dimensional multiplication tessellation systems. We develop the theory of these systems and link different multiplication tessellation systems with each other via macrotile operations that glue cubes in one tessellation system into larger cubes of another tessellation system. The macrotile operations yield topological conjugacies and factor maps between cellular automata performing multiplication by positive numbers in various bases." @default.
- W4310426770 created "2022-12-10" @default.
- W4310426770 creator A5058937204 @default.
- W4310426770 date "2022-11-28" @default.
- W4310426770 modified "2023-10-14" @default.
- W4310426770 title "Multiplication cubes and multiplication automata" @default.
- W4310426770 doi "https://doi.org/10.48550/arxiv.2211.15293" @default.
- W4310426770 hasPublicationYear "2022" @default.
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