, Volume 28, Issue 2, pp 275-279
Date: 01 Aug 2002

A Cube Tiling of Dimension Eight with No Facesharing

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access


A cube tiling of eight-dimensional space in which no pair of cubes share a complete common seven-dimensional face is constructed. Together with a result of Perron, this shows that the first dimension in which such a tiling can exist is seven or eight.