The Pell tower and Ostronometry
Robbert Fokkink (TU Delft - Electrical Engineering, Mathematics and Computer Science)
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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.
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