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Polypon


PolyponGrid

A polypon is a polyform consisting of a finite nonempty edge-connected union of cells from the triangular grid subdivided into triangles with angles 30 degrees, 30 degrees, and 120 degrees, illustrated above. Cells are joined along complete sides, and holes are allowed. Pieces are identified under isometries of this subdivided grid. The division into constituent triangles is part of each piece.

Polypons

The numbers of polypons with n=1, 2, ... components are 1, 2, 2, 4, 4, 10, 13, 29, 47, ... (OEIS A057784), the first few of which are illustrated above.


See also

Polyform

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References

Clarke, A. L. "The Poly Pages." http://www.recmath.com/PolyPages/.Owen, B. "Polyforms." https://web.archive.org/web/20060619124305/http://groups.yahoo.com/group/polyforms/.Sloane, N. J. A. Sequence A057784 in "The On-Line Encyclopedia of Integer Sequences."

Referenced on Wolfram|Alpha

Polypon

Cite this as:

Weisstein, Eric W. "Polypon." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Polypon.html

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