The Pentagonal Numbers Meet the Choose-4 Numbers

Year: 2016 Authors: James Morrow

Core claim

Exactly two of every three consecutive Choose-4 numbers are pentagonal, with the remaining one lying strictly between consecutive pentagonal numbers.

Topics

figurative numbers, Pascal’s Triangle, visual proof, mathematical art

Domains

combinatorics, number theory, induction, figurate numbers, mathematical art, visualization, coloring, Voronoi diagram

Methods

pattern observation, conjecture, proof by induction, visual representation

Media

dots, Voronoi diagram, 8-color palette, Pascal’s Triangle

Source status

This page publishes metadata and extracted analytical signals only. Raw PDF and full OCR text are kept local for now.