The Janet Periodic Table (aka Left Step Periodic Table) can be re-arranged as a series of square matrices. Square matrices are prominent in theoretical physics. The location of any element within the table is determined by the quantum numbers of the "most significant electron". The orbitals (s,p,d,f) form concentric rings within a matrix. If the matrices are stacked vertically the result appears as a stepped pyramid. This is a three dimensional table. Sections cut through the pyramid give interesting "vertical relationships" between elements. Reference; http://newstuff77.weebly.com 01 The Pyramid Periodic Table
Interesting; does that new arrangement account for chemical type blocks? Please Register or Log in to view the hidden image!
The elements can be arranged any way one wants, to show whatever relationships are of interest. There are spiral periodic tables (though they are essentially the same as the classic table, just with the ends joined). The question is: is the method you choose the most useful form what you find interesting? A table that requires 3 dimensions to show relationships would, for a textbook, be ... problematic.