There are dozens of non-standard periodic tables

Some authors are claiming that box desing is ugly and “new” spiral table look cool.

The most cool table that i saw was Benfey spiral table presented more than 40 years ago!

Actually there may be more than dozens. And even a book written about many of them back in the ’60′s I read a while back, looking to see if the form I came up with had been tried before. Apparently it wasn’t known to the author (and I’ve never seen it since).

My table is a tetrahedron. It simply takes the orbital blocks for s, p, d, and f electron shell filling and takes them away from the standard depiction, and using symmetry in the system to predict elements up to 120 (but NO FURTHER), builds them into a tetrahedral pyramid in the same order, centering them at the center of each block.

If you go to 120 elements, then an interesting relation is noted. The number of electron PAIRS in each block as it fills horizontally (s=1,p=3,d=5,f=7) PLUS the numbers of rows in each block (s=8,p=6,d=4,f=2)(all based on quantum numbers) always equals 9 (1+8,3+6,5+4,7+2).

Using this equation one can see that 120 must be the end of the system (perhaps circular reasoning, but then symmetry is usually good in physics).

Laid out this way other relations stand out that would not otherwise with most (but not all) other depictions. Over on the left are elements that tend to lose electrons, on the right those that gain, to get their shells filled. Halfway (an idealization) you get half-filled shells that have their own special properties.

The upper row elements are vital to stellar fusion, the lower ones all are fissionable- again the system has a slight skew- iron being the end of fusion instead of another element further towards the middle of the system, but then perhaps this relates in some way to the relative half-lives of unstable fissionables? Total speculation.

The p-shell elements, so centered this way, have a nice upper-left to lower-right diagonal which defines semimetal/semiconductor properties- those to the lower left are more metallic, those to the upper right more towards liquids/gases. Interesting this latter set is also grossly involved in life processes (and the former all? poisonous to same.

There may be similar "mini-figures" in the other shell-blocks- such as atomic properties in the d-shell elements in a small parallelogram surrounding the center of the block I seem to have found.

I’d like to see other depictions make similarly interesting presentational claims.