Abstract
This chapter is for those in the field of mathematical chemistry who would like to practice their skills on other than normal molecules; for colleagues in the physics community with a curiosity about periodicities of particles from molecules to strings; and for specialists in informatics. Similarities are shown to exist in the constructions of periodic systems for five orders of particles.
Keywords: Mathematical chemistry, molecules, periodicity, periodic systems, periodic tables, atoms, sub-atomic particles, fundamental particles, strings, mesons, baryons, quarks, photons, isotopic spin, strangeness, nuclei, nuclear molecules, magic numbers, Pascal’s triangle.