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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.

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the fano plane
The Fano Plane

By Ed Pegg Jr

mathpuzzle.com

maa.org Math Games

mathworld.com

the fano plane1
The Fano Plane

“I have a Fano Plane.”

the fano plane2
The Fano Plane

The {1,2,4} Switching Network

the fano plane3
The Fano Plane

The Heawood Graph – a {3,6} cage

the fano plane4
The Fano Plane

Heawood as attacking Queens – Geoff Exoo

the fano plane5
The Fano Plane

The Seven coloring of the Torus

(done with dominoes, just for the challenge)

the fano plane6
The Fano Plane

The Szilassi Polyhedron

A seven-coloring of the torus

the fano plane7
The Fano Plane

A seven-coloring of the torus

18 different heptominoes (Roger Phillips)

the fano plane8
The Fano Plane

As an error correcting code

(The Inquisitive Problem Solver)

the fano plane9
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 plane10
The Fano Plane

Fire and Ice (a fano plane of fano planes)

(Jens-Peter Schliemann)

the fano plane11
The Fano Plane

The multiplication of octonions

(John Baez)

the fano plane12
The Fano Plane

Can you hear the shape of a drum?

(Olivier Giraud - http://arxiv.org/abs/nlin.CD/0503069)

the fano plane13
The Fano Plane

Another visualization of the Fano plane

(Burkard Polster)

the fano plane14
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 plane15
The Fano Plane

The Hoffman-Singleton Graph

the fano plane16
The Fano Plane

The Hoffman-Singleton Graph

as a deck of 50 cards.

the fano plane17
The Fano Plane

The Hoffman-Singleton Graph

as a deck of 50 cards.