Wolfram Demonstrations Project

13,000+ Open Interactive Demonstrations
Powered by Notebook Technology »

Magic Zero Hexagons

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

The numbers to 9 can be arranged in a hexagon so that all lines of hexes have a sum of zero. There seem to be 19 distinct ways to do this. By comparison, the numbers 1 to 19 can be arranged for a magic sum of 38 in a unique way; select arrangement 20 to see it.

[more]

The triangular numbers are . This Demonstration shows that to make magic zero hexagons. Can to make a magic hexagon for all ?

[less]

Contributed by: Ed Pegg Jr (January 2021)
Open content licensed under CC BY-NC-SA

Snapshots

Details

Reference

[1] Wikipedia. "Magic Hexagon." (Dec 4, 2020) en.wikipedia.org/wiki/Magic_hexagon.

Embed Code

Take advantage of the Wolfram Notebook Emebedder for the recommended user experience.

Related Demonstrations More by Author
Browse all topics
Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send