Watching Numerous Quiz Shows,

one thing that quizers all seem to know by heart,

is the periodic table, like the one above, but mathematicians at the Max Planck Institute have detailed mathematical methods for cataloguing the elements, creating a series of complex hypergraphs, rather than the more basic periodic table currently in universal use, in this way, they say, the periodic table can be adapted in a number of ways, providing many different interpretations of elemental classification depending on how they are ordered - with no one way more correct than any other, of course there are many other interpretations of how the table should look,

and this is the Max Planck Institute design, showing a periodic table grouped according to chemical bonds, (Guillermo Restrepo, MPI for Mathematics in the Sciences), it might be me, but I prefer the one at the top of the post, it somehow seems a bit easier to remember!