[seqfan] Another hypercube sequence to think about
Brendan McKay
Brendan.McKay at anu.edu.au
Fri Dec 9 02:15:39 CET 2022
In this paper <https://arxiv.org/abs/2212.03328> just appeared on the
arXiv, the following sequence is defined.
Consider an n-cube in R^n. How many hyperplanes are needed in order
to dissect all edges?
"Dissect" means that the hyperplane passes through the edge other than
at its endpoints.
It seems that n hyperplanes are needed if n is very small, but the paper
mentions that 5 hyperplanes suffice for n=6. Otherwise no actual numbers
are mentioned, but there might be more in the references.
Brendan.
More information about the SeqFan
mailing list