Philosophers have long speculated that a link exists between natural numbers and the physical world... Pythagoras: "...all is number" John Dalton (1803): "...Atoms combine in simple numerical ratios..." Prout’s hypothesis, published anonymously in 1815: "...the elements are different aggregates of the atoms of primordial hydrogen..." Alexandre Émile Beguyer de Chancourtois (1862): "...the properties of the elements are the properties of numbers..." William Harkins (1921): "...the ratio Z/(A - Z) never exceeds the value 0.62 in atomic species..." Within this book, readers with an interest in mathematics, science or natural philosophy will find this expectation addressed...