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Hees

Heesch numbers

noun

plural of Heesch number

Heesch numbers are a sequence of numbers that describe the maximum number of disconnected regions that can be formed by removing a certain number of points from a plane.

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Heesch number

noun

(geometry) The maximum number of layers of copies of the same shape that can surround a given shape.

The Heesch number of a tile is the maximum number of layers that can be added to the tile such that no two layers touch along an entire edge.

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Heesch's problem

name

(geometry) The mathematical problem of determining the set of numbers that can be Heesch numbers.

Heesch's problem is a famous unsolved problem in mathematics.

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