1. bookVolume 4 (2017): Issue 8 (December 2017)
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Journal
eISSN
2182-1976
First Published
16 Apr 2016
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2 times per year
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English
access type Open Access

"A difficult case": Pacioli and Cardano on the Chinese Rings

Published Online: 11 Jan 2018
Volume & Issue: Volume 4 (2017) - Issue 8 (December 2017)
Page range: 5 - 23
Journal Details
License
Format
Journal
eISSN
2182-1976
First Published
16 Apr 2016
Publication timeframe
2 times per year
Languages
English
Abstract

The Chinese rings puzzle is one of those recreational mathematical problems known for several centuries in the West as well as in Asia. Its origin is diffcult to ascertain but is most likely not Chinese. In this paper we provide an English translation, based on a mathematical analysis of the puzzle, of two sixteenth-century witness accounts. The first is by Luca Pacioli and was previously unpublished. The second is by Girolamo Cardano for which we provide an interpretation considerably different from existing translations. Finally, both treatments of the puzzle are compared, pointing out the presence of an implicit idea of non-numerical recursive algorithms.

Keywords

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