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\input zb-matheduc
\iteman{ZMATH 2012f.00717}
\itemau{Carvalho, Alda; Pereira dos Santos, Carlos}
\itemti{A very useful Pythagorean tree.}
\itemso{Silva, Jorge Nuno (ed.), Proceedings of the recreational mathematics colloquium II, University of \'Evora, Portugal, April 27--30, 2011. Lisboa: Associa\c c\~ao Ludus (ISBN 978-989-97346-2-3/pbk). 3-15 (2012).}
\itemab
Summary: In this work, we resume some results about a particular Pythagorean tree, described in some recent works [{\it F. Bernhart} and {\it H. Lee Price}, ``Heron's formula, Descartes circles, and Pythagorean triangles'', \url{arXiv.:math.MG/0701624} (2007); {\it H. Lee Price}, `` The Pythagorean tree: a new species'', \url{arXiv.org:0809.4324} (2008)]. We illustrate how H. Lee Price used his work as a tool to perform quick mental calculations. This Pythagorean tree, based in Fibonacci boxes, is also strongly related to the most famous mathematical artifacts: the Plimpton 322 and the Rhind Papyrus.
\itemrv{~}
\itemcc{G60 F30 A30}
\itemut{Pythagorean triples; Pythagorean trees; Fibonacci boxes; mental calculations}
\itemli{}
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