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Polyrhomb


PolyrhombGrid

A polyrhomb is a polyform consisting of a finite nonempty edge-connected union of congruent nonsquare rhombi from a rhombic grid, illustrated above. Cells are joined along complete sides, and holes are allowed. The division into cells is retained, and pieces are identified under translations, rotations, and reflections that preserve the grid.

Polyrhombs

The numbers of polyrhombs with n=1, 2, ... components are 1, 1, 3, 7, 20, 62, 204, ... (OEIS A056783), the first few of which are illustrated above.


See also

Polyform, Rhombus

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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 A056783 in "The On-Line Encyclopedia of Integer Sequences."

Referenced on Wolfram|Alpha

Polyrhomb

Cite this as:

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

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