The Fano Plane
By Ed Pegg Jr
mathpuzzle.com
maa.org Math Games
mathworld.com
The 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 Polyhedron
A seven-coloring of the torus
The Fano Plane
A seven-coloring of the torus
18 different heptominoes (Roger Phillips)
The Fano Plane
Corners of a die (+7, if odd)
Opposing faces of a die (+7, if odd)
Winning positions in Nim heaps less than 8
(Conway, Roller – The Inquisitive Problem Solver)
The Fano Plane
As an error correcting code
(The Inquisitive Problem Solver)
The Fano Plane
Another visualization of the Fano plane
(Burkard Polster)
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
The smallest Projective Space
http://homepages.wmich.edu/~drichter/projectivespace.htm
http://www.maths.monash.edu.au/~bpolster/perfect.html
The Fano Plane
The Hoffman-Singleton Graph