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arXiv · 2102.11106

A number system with base $-\frac32$

Lucía Rossi·Jörg M. Thuswaldner
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Abstract

In the present paper we explore a way to represent numbers with respect to the base $-\frac32$ using the set of digits $\{0,1,2\}$. Although this number system shares several properties with the classical decimal system, it shows remarkable differences and reveals interesting new features. For instance, it is related to the field of $2$-adic numbers, and to some ``fractal'' set that gives rise to a tiling of a non-Euclidean space.

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Lucía Rossi, Jörg M. Thuswaldner. 2021-02-22. A number system with base $-\frac32$. https://arxiv.org/abs/2102.11106

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