Tetrahedral chains and a curious semigroup

In 1957 Steinhaus asked for a proof that a chain of identical regular tetrahedra joined face to face cannot be closed. Świerczkowski gave a proof in 1959. Several other proofs are known, based on showing that the four reflections in planes though the origin parallel to the faces of the tetrahedron...

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Bibliographic Details
Main Author: Ian Stewart
Format: Article
Language:English
Published: University of Extremadura 2019-06-01
Series:Extracta Mathematicae
Subjects:
Online Access:https://publicaciones.unex.es/index.php/EM/article/view/69