1985: Stein discovers the 14th typeof pentagon that tiles the plane.
2015: Mann, McLoud, & VonDerauthe discover the 15th type of pentagon that tiles the plane
2017: Rao shows, using a computer, that there are no more than 15 types of pentagons that tile the plane.
To the MNS presentationIn how many ways can we tile the plane by polygons, vertex-to-vertex and edge-to-edge, without gaps and overlaps?
Kepler: There are 11 ways to tile the plane with regular polygons – three by using the same one polygon, and eight by using several polygons, all having the same tiling verticies.
To the MNS presentationPlane Geometry (MSC2010#97G40)
* Regular polygons
* Symmetry
* Tiling
* Plane
* Angle, Vertex, Edge,Tiling vertex
* Convex polygon
* Reflection
* Translation
To the MNS presentation
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