It is known that the sum of the exterior angles of a convex polygon is always 360º. Since an exterior angle of a right angle is also a right angle, our four right angles would take up the entire 360º ...

We’ll stick with “convex” polygons, those whose interior angles are each less than 180 degrees, and we’ll allow ourselves to move them around, rotate them and flip them over.

Why Can’t Convex Polygons With More Than Six Sides Tile the Plane? Consider seven-sided heptagons, and, for simplicity, consider only vertex-to-vertex tilings (having vertices in the middle of edges ...

Meet Bille, the name given to the world's first monostable tetrahedron—a four-faced object that will always land on the same ...

No convex polygon with more than 6 sides can tile the plane (because of simple angle arguments). Pentagons were the final holdout. Editorial Standards Reprints & Permissions.

On Intersection Graphs of Convex Polygons URGE to compute team (left to right): Matthew Szczepankiewicz, Joshua Terhaar, and Sean Kafer in downtown Brno, Czech Republic. At the International Workshop ...

To refresh your geometry, convex polygons are closed figures that don’t have any internal angles that are more than 180 degrees. ... see the image of a convex polygon on the left.