The Fano Plane
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Transcript of 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
“I have a Fano Plane.”
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The Fano Plane
The {1,2,4} Switching Network
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The Fano Plane
The Heawood Graph – a {3,6} cage
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The Fano Plane
Heawood as attacking Queens – Geoff Exoo
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The Fano Plane
The Seven coloring of the Torus(done with dominoes, just for the challenge)
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The Fano Plane
The Szilassi PolyhedronA seven-coloring of the torus
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The Fano Plane
A seven-coloring of the torus18 different heptominoes (Roger Phillips)
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The Fano Plane
As an error correcting code (The Inquisitive Problem Solver)
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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)
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The Fano Plane
Fire and Ice (a fano plane of fano planes)(Jens-Peter Schliemann)
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The Fano Plane
The multiplication of octonions(John Baez)
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The Fano Plane
Can you hear the shape of a drum?(Olivier Giraud - http://arxiv.org/abs/nlin.CD/0503069)
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The Fano Plane
Another visualization of the Fano plane(Burkard Polster)
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The Fano Plane
The smallest Projective Spacehttp://homepages.wmich.edu/~drichter/projectivespace.htm
http://www.maths.monash.edu.au/~bpolster/perfect.html
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The Fano Plane
The Hoffman-Singleton Graph
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The Fano Plane
The Hoffman-Singleton Graphas a deck of 50 cards.
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The Fano Plane
The Hoffman-Singleton Graphas a deck of 50 cards.