How many layers of tiles can surround a single shape?
Explore the mathematical mystery of Heesch numbers. This video features Edmund Harriss from the University of Arkansas, investigating how certain shapes can be surrounded by multiple layers of tiles without ever being able to tile an infinite plane.
The video examines the concept of Heesch numbers, which measures the number of concentric layers of tiles that can completely surround a single tile. While some shapes can tile an infinite surface, others are restricted to a finite number of layers before they can no't be surrounded further.
Source: Heesch Numbers and Tiling - Numberphile
