Kenichi Miura's Water Wheel, or The Dance of the Shapes of Constant Width

Research output: Chapter in Book/Report/Conference proceedingChapter (Book)Otherpeer-review

Abstract

One of the many memorable presentations at the 2010 Gathering for Gardner was that by Kenichi Miura. In it he reported about a fun idea of his that Martin Gardner would have loved to have heard about: a water wheel with buckets in the shape of Reuleaux triangles; Figure 1 is an example. In this water wheel water is being added from the top. This water then drains out of the buckets on the ways down, through holes in the sides facing us (not shown). This water wheel has the remarkable property that, as the wheel turns, any two adjacent buckets always touch in a single point while maintaining their downward orientation.
Original languageEnglish
Title of host publicationThe Best Writing on Mathematics 2015
EditorsMircea Pitici
Place of PublicationPrinceton NJ USA
PublisherPrinceton University Press
Pages119-131
Number of pages13
ISBN (Print)9780691169651
Publication statusPublished - 2016

Cite this

Polster, B. (2016). Kenichi Miura's Water Wheel, or The Dance of the Shapes of Constant Width. In M. Pitici (Ed.), The Best Writing on Mathematics 2015 (pp. 119-131). Princeton NJ USA: Princeton University Press.
Polster, Burkard. / Kenichi Miura's Water Wheel, or The Dance of the Shapes of Constant Width. The Best Writing on Mathematics 2015. editor / Mircea Pitici. Princeton NJ USA : Princeton University Press, 2016. pp. 119-131
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abstract = "One of the many memorable presentations at the 2010 Gathering for Gardner was that by Kenichi Miura. In it he reported about a fun idea of his that Martin Gardner would have loved to have heard about: a water wheel with buckets in the shape of Reuleaux triangles; Figure 1 is an example. In this water wheel water is being added from the top. This water then drains out of the buckets on the ways down, through holes in the sides facing us (not shown). This water wheel has the remarkable property that, as the wheel turns, any two adjacent buckets always touch in a single point while maintaining their downward orientation.",
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Polster, B 2016, Kenichi Miura's Water Wheel, or The Dance of the Shapes of Constant Width. in M Pitici (ed.), The Best Writing on Mathematics 2015. Princeton University Press, Princeton NJ USA, pp. 119-131.

Kenichi Miura's Water Wheel, or The Dance of the Shapes of Constant Width. / Polster, Burkard.

The Best Writing on Mathematics 2015. ed. / Mircea Pitici. Princeton NJ USA : Princeton University Press, 2016. p. 119-131.

Research output: Chapter in Book/Report/Conference proceedingChapter (Book)Otherpeer-review

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Polster B. Kenichi Miura's Water Wheel, or The Dance of the Shapes of Constant Width. In Pitici M, editor, The Best Writing on Mathematics 2015. Princeton NJ USA: Princeton University Press. 2016. p. 119-131