The Pell tower and Ostronometry

Journal article (2025)

Authors

R.J. Fokkink Applied Probability - EEMCS
Research Group
Applied Probability (EEMCS) (TU Delft)
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Published Date

2025

Language

English

Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Applied Probability

Abstract

Conway and Ryba considered a table of bi-infinite Fibonacci sequences and discovered new interesting patterns. We extend their considerations to tables that are defined by the recurrence Xn+1 = dXn + Xn−1 for natural numbers d. In our search for new patterns we run into a Red Wall and exotic numeration systems.