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Dave Richeson

@divbyzero

Mathematician. John J. & Ann Curley Chair in Liberal Arts at Dickinson College. Author of Tales of Impossibility and Euler's Gem. Coffee drinker.

calendar_today11-08-2008 17:39:51

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Dave Richeson
@divbyzero

1 month ago

What convex polygons tile the plane?
• Every triangle
• Every quadrilateral (convex or not)
• No polygon with 7 or more sides
• Hexagons: In 1918, Karl Reinhardt discovered 3 families of tiling hexagons—the complete list
• Pentagons: Reinhardt also found 5 families

What convex polygons tile the plane? • Every triangle • Every quadrilateral (convex or not) • No polygon with 7 or more sides • Hexagons: In 1918, Karl Reinhardt discovered 3 families of tiling hexagons—the complete list • Pentagons: Reinhardt also found 5 families
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