Sunday, April 17, 2016

[uxdaxoii] Hexagon and hypercube

The length of the space diagonal of a 4-dimensional unit hypercube is 2, not an irrational number like for 2 and 3 dimensions.

The length of the longest diagonal of a regular hexagon with side length 1 is also 2.

This might be why the 24-cell honeycomb and the hexagon tessellation are considered related.

No comments :