Number Theory and the Periodicity of Matter

  • Jan C. A. Boeyens
  • Demetrius C. Levendis

Table of contents

  1. Front Matter
    Pages i-xv
  2. Pages 1-17
  3. Pages 19-69
  4. Pages 183-208
  5. Pages 209-236
  6. Pages 291-301
  7. Pages 303-334
  8. Pages 335-355
  9. Back Matter
    Pages 357-374

About this book


Philosophers have long speculated that a link exists between natural numbers and the physical world...

"...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...


Arithmetic Fibonacci phylotaxis crystallographic periodicity function golden ratio hidden symmetry number patterns periodic structures physical systems

Authors and affiliations

  • Jan C. A. Boeyens
    • 1
  • Demetrius C. Levendis
    • 2
  1. 1.University of PretoriaSouth Africa
  2. 2.University of the WitwatersrandSouth Africa

Bibliographic information