The Simplex, Duplex and Pascal's Triangles: Relatives of Pascal's Triangle, with Excursions Into Hyperspace

Prepare to be intrigued by the many facets of the properties of the amazing array of numbers known as Pascal's Triangle and its many relatives.
Some of the topics you will find:

• Polytopes
• Simplexes and the Simplex Triangle
• Tetrahedral, and higher dimensional figurate numbers
• Duplexes and The Duplex Triangle
• Geometric Duplication - Cubes and Hypercubes
• Vandermonde's Identity for the Duplex Triangle and the Triplex Triangle
• Euler's formula for Simplexes and Duplexes
• Recurrent Sequ...