Two of the sides are “all 1's” and because the triangle is infinite, there is no “bottom side.” Simple as this pattern is, it has surprising connections throughout many areas of ...

One interesting problem is to find the area of a Sierpinski triangle ... close to infinity ought to be highly sensitive to its original shape, whether a square or some other pattern.

Suppose you want to tile an infinite ... triangles. Myers adjusted some of the einstein hat’s edges to form two different polyiamond arrangements that follow the hat’s same tiling pattern ...

After 60 years of searching, mathematicians might have finally found a true single ‘aperiodic’ tile — a shape that can cover an infinite plane, but never make a repeating pattern.