Polyhe

An n-he (a term coined by Brendan Owen) is a shape formed from a polyhex by removing half of each hexagon in such a way that the remaining pieces are connected (Clarke). The numbers of n-hes for n=1, 2, ... are given by 1, 4, 13, 50, 276, 1416, 7201, 37972, ... (OEIS A057712; Clarke).

Polyhes are a subset of the polyiamonds. Specifically, the monohe is the unique triamond, the four dihes are the bar, sphinx, butterfly, and chevron hexiamonds.

See also

Polyiamond, Polyform

Portions of this entry contributed by Jonathan Vos Post (author's link)

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References

Clarke, A. L. "Polyhes." http://www.recmath.com/PolyPages/PolyPages/Polyhes.htm.Sloane, N. J. A. Sequence A057712 in "The On-Line Encyclopedia of Integer Sequences."

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Cite this as:

Post, Jonathan Vos and Weisstein, Eric W. "Polyhe." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Polyhe.html

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