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On the problem of regularity of a type of n-dimensional tilings

✍ Scribed by Sándor Szabó

Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
440 KB
Volume
45
Category
Article
ISSN
0012-365X

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✦ Synopsis

Let us reflect an n-dimensional cube in all its faces. The 2n + 1 cubes obtained form a so-called n-dimensional cross. KBrteszi [l] raised the question whether it is possible to construct a tiling of the n-dimensional space dimensional crosses.

We say that this such a tiling is regular if neighbouring entire (n -1)-dimensional faces of the original cubes.

Kkteszi's question is partially answered by the following

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