Hexagons inscribed within circles have the mystic property that their three pairs of opposite sides (when extended) intersect on the same line. This surprisingly simple result seems to support the Platonic notion that elegant mathematical relationships exist in some perfect realm awaiting human discovery. To the contrary, this article introduces a transformational proof that provides for intuitive understanding of the mystic property while supporting the idea that mathematical objects, and relationships between them, arise from coordinations of our own mental actions.
"Seeing Pascal’s Mystic Hexagon from a Different Angle,"
The Mathematics Enthusiast: Vol. 21
, Article 3.
Available at: https://scholarworks.umt.edu/tme/vol21/iss1/3
Digital Object Identifier (DOI)
University of Montana, Maureen and Mike Mansfield Library