Talk:Nino Lahiffe/@comment-31423444-20170831194238/@comment-28080187-20170901224213

Back when there were just four confirmed Miraculous holders, I figured out that all the possible pairings could be represented as a hexadecachoron, also known as a 16-cell. Just imagine the hero identities on the four outer corners and the civilian identities on the four inner corners. This also has the cool property of having all the triangular faces correspond to all the possible three-way pairings, as well as having the sixteen tetrahedral cells correspond to the sixteen possible four-way pairings. I worked this out on my Tumblr here, back when I still thought Lila was going to be the Fox Miraculous holder.

However, with a fifth Miraculous holder this becomes more complicated. The relevant five-dimensional structure is a pentacross, also known as a 5-orthoplex, and as far as I know it can't be represented as a structure in three dimensions—so we'd need a fourth dimension in order to fully understand that.