Folded continued fractions

A. J. van der Poorten*, J. Shallit

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

25 Citations (Scopus)


We exhibit uncountably many binary decimals together with their explicit continued fraction expansions. These expansions require only the partial quotients 1 or 2. The pattern of valleys and ridges in a sheet of paper repeatedly folded in half plays a critical role in our construction.

Original languageEnglish
Pages (from-to)237-250
Number of pages14
JournalJournal of Number Theory
Issue number2
Publication statusPublished - 1992


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