the fano plane

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The Fano Plane By Ed Pegg Jr mathpuzzle.com maa.org Math Games mathworld.com

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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. - PowerPoint PPT Presentation

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Page 1: The Fano Plane

The Fano Plane

By Ed Pegg Jr

mathpuzzle.com

maa.org Math Games

mathworld.com

Page 2: The Fano Plane

The Fano Plane

“I have a Fano Plane.”

Page 3: The Fano Plane

The Fano Plane

The {1,2,4} Switching Network

Page 4: The Fano Plane

The Fano Plane

The Heawood Graph – a {3,6} cage

Page 5: The Fano Plane

The Fano Plane

Heawood as attacking Queens – Geoff Exoo

Page 6: The Fano Plane

The Fano Plane

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

Page 7: The Fano Plane

The Fano Plane

The Szilassi PolyhedronA seven-coloring of the torus

Page 8: The Fano Plane

The Fano Plane

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

Page 9: The Fano Plane

The Fano Plane

As an error correcting code (The Inquisitive Problem Solver)

Page 10: The Fano Plane

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)

Page 11: The Fano Plane

The Fano Plane

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

Page 12: The Fano Plane

The Fano Plane

The multiplication of octonions(John Baez)

Page 13: The Fano Plane

The Fano Plane

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

Page 14: The Fano Plane

The Fano Plane

Another visualization of the Fano plane(Burkard Polster)

Page 15: The Fano Plane

The Fano Plane

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

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

Page 16: The Fano Plane

The Fano Plane

The Hoffman-Singleton Graph

Page 17: The Fano Plane

The Fano Plane

The Hoffman-Singleton Graphas a deck of 50 cards.

Page 18: The Fano Plane

The Fano Plane

The Hoffman-Singleton Graphas a deck of 50 cards.