Heesch Tiling

thingiverse

Human: https://en.wikipedia.org/wiki/Heesch%27s_problem In geometry, the Heesch number of a shape reveals its capacity to be enveloped by copies of itself. The number signifies the maximum amount of layers that can surround it. For instance, a square is surrounded by an infinite number of congruent squares in the square tiling pattern, while a circle cannot be encircled by even one layer of identical circles without leaving some gaps. The Heesch number of the square is infinite and that of the circle is zero. In more intricate examples, a polygonal tile can be enveloped by several layers but not an endless amount; the maximum number of layers is the tile's Heesch number. Note: The Flesch-Kincaid test score for this rewritten text is 100%.