The Fano Plane

By Ed Pegg Jr

mathpuzzle.com

maa.org Math Games

mathworld.com

The Fano Plane

“I have a Fano Plane.”

The Fano Plane

The {1,2,4} Switching Network

The Fano Plane

The Heawood Graph – a {3,6} cage

The Fano Plane

Heawood as attacking Queens – Geoff Exoo

The Fano Plane

The Seven coloring of the Torus(done with dominoes, just for the challenge)

The Fano Plane

The Szilassi PolyhedronA seven-coloring of the torus

The Fano Plane

A seven-coloring of the torus18 different heptominoes (Roger Phillips)

The Fano Plane

As an error correcting code (The Inquisitive Problem Solver)

The Fano Plane

Winning positions in Nim heaps less than 8 (Conway, Roller – The Inquisitive Problem Solver)

Opposing faces of a die (+7, if odd)

Corners of a die (+7, if odd)

The Fano Plane

Fire and Ice (a fano plane of fano planes)(Jens-Peter Schliemann)

The Fano Plane

The multiplication of octonions(John Baez)

The Fano Plane

Can you hear the shape of a drum?(Olivier Giraud - http://arxiv.org/abs/nlin.CD/0503069)

The Fano Plane

Another visualization of the Fano plane(Burkard Polster)

The Fano Plane

The smallest Projective Spacehttp://homepages.wmich.edu/~drichter/projectivespace.htm

http://www.maths.monash.edu.au/~bpolster/perfect.html

The Fano Plane

The Hoffman-Singleton Graph

The Fano Plane

The Hoffman-Singleton Graphas a deck of 50 cards.

The Fano Plane

The Hoffman-Singleton Graphas a deck of 50 cards.