With Discovery, 3 Scientists Chip Away At An Unsolvable Math Problem : The Two-Way For decades, we have known of only 14 convex pentagons that can do something called "tiling the plane." Now there ...

Ok, say I have many pentagons. I want to build an orb or sphere or whatever a 3 dimensional ball out of pentagons.Is there a predetermined limit to the # of pentagon shaped pieces I can use to ...

Until recently, there were just 14 known convex pentagons (nonregular, five-sided shapes with outward-pointing angles) that could “tile the plane” (be ...

The polygon Tile(1, 1) is a weakly chiral aperiodic monotile: a shape that tiles aperiodically if only translations and rotations are permitted. Then, by modifying the edges of that polygon, we obtain ...