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The Chinese remainder clock. (English) Zbl 1443.97012

Summary: We present an analog clock with five hands that illustrates the Chinese remainder theorem and that can be understood also by nonmathematicians. Moreover, we interpret the Chinese remainder theorem in terms of rotations and prove it without equations.

MSC:

97F60 Number theory (educational aspects)
11A07 Congruences; primitive roots; residue systems
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References:

[1] H. Davenport, The Higher Arithmetic: An Introduction to the Theory of Numbers.Eighth ed., Cambridge Univ. Press, Cambridge, 2008. · Zbl 1204.11002
[2] G. H. Hardy, E. M. Wright, An Introduction to the Theory of Numbers.Sixth ed., Oxford Univ. Press, Oxford, 2008. · Zbl 1159.11001
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[4] P. M. Rice, Maya Calendar Origins: Monuments, Mythistory, and the Materialization of Time.Univ. Texas Press, Austin, TX, 2007.
[5] A. Perucca, The Chinese Remainder Clock.2017, http://www.antonellaperucca.net · Zbl 1443.97012
[6] E. W. Weisstein, Chinese Remainder Theorem. MathWorld—A Wolfram Web Resource.2017, http://mathworld.wolfram.com/ChineseRemainderTheorem.html.
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