thanks for posting a link to ADOMAH Periodic Table web site. The best periodic table is the one that reflects the Periodic System of the elements the best way. It has to be based on objective criteria, such as structure of the atoms and the quantum mechanics. Not only electronic structure of the atoms is important. Nuclear structure is reflected by the Atomic numbers. Therefore, Jess’ observations regarding numerical regularities of the atomic number series and their relationship to the Pascal Triangle are very important and confirm tetrahedral character of the periodic system. This points to the best Periodic table: The tetrahedral one. Mendeleev strongly believed that all two dimentional tables can not correctly reflect the Periodic System. He also understood that he did not have enough information to come up with correct three dimentional system. Well, now we have that information.

Best regards,

Valery Tsimmerman.

I discovered this same pattern more than 30 years ago, but hadn’t taken it to this level. More recently the site owner and I have been working together, and I’ve come up with a number of new observations, for instance that every other alkaline earth atomic number is the same as every other Pascal triangle tetrahedral number (4,20,56,120..). This supports both the Janet Left-Step PT from the late 1920′s, for 2D, but also tetrahedral configrations of the ‘table’ in 3D.

Another finding is that the Fibonacci numbers have a coherent patterning within the periodic system, at least for existing elements. Divided into triplets, and applied as atomic numbers: 1,1,2 3,5,8 13,21,34 55,89,(144) (the latter beyond the known elements), the first two numbers of the triplets are all first singlets in their sub-blocks, that is, s1,p1,d1,f1, while the third number of each triplet is the first doubled electron (s2,p4,d6,f8), though the pattern complexifies after 89, and we don’t have any d6,f8 in the pattern so far.

Still a massive coincidence if only a coincidence. Lucas numbers have their own odd patterns as atomic numbers- for example 29 and 47, copper and silver, are in the same group in the PT- you’d expect 79Au to be next, but you get 76Os instead- the third member doesn’t fit, again, and it IS d6.

Also, have any of you ever noticed that the ratio of neutrons to protons in the nucleus trends towards Phi (1.6…)?

Jess Tauber