Pyramid Mysteries

Behrends describes the 3-dimensional version of the phenomenon explored in "Triangle Mysteries." He begins with an n x n-grid of colored cubes. He shows that for suitable n he can predict the color of the top cube easily just by studying the first n x n-grid. He includes the discussion of...

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Veröffentlicht in:The Mathematical intelligencer 2014-09, Vol.36 (3), p.14-19
1. Verfasser: Behrends, Ehrhard
Format: Artikel
Sprache:eng
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Zusammenfassung:Behrends describes the 3-dimensional version of the phenomenon explored in "Triangle Mysteries." He begins with an n x n-grid of colored cubes. He shows that for suitable n he can predict the color of the top cube easily just by studying the first n x n-grid. He includes the discussion of a variant where he starts with a triangle formed by colored cubes that's considered to be the base of a pyramid.
ISSN:0343-6993
1866-7414
DOI:10.1007/s00283-014-9455-3