Polyabolo

A polyabolo is an analog of the polyomino composed of n isosceles right triangles joined along edges of the same length. Polyaboloes are sometimes also called polytans (Clark, Vichera).

Polyaboloes are considered equivalent if they have the same boundaries. For example, the two triaboloes illustrated above are considered equivalent. The number of nonequivalent fixed polyaboloes composed of n triangles are 1, 3, 4, 14, 30, 107, 318, 1116, 3671, ... (OEIS A006074).

Several of the know pairs of isospectral manifolds are polyaboloes.

See also

Diabolo, Hexabolo, Isosceles Right Triangle, Isospectral Manifolds, Pentabolo, Polyform, Polyiamond, Tetrabolo, Triabolo

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References

Clarke, A. L. "Polyaboloes." http://www.recmath.com/PolyPages/PolyPages/Polyaboloes.htm.Sloane, N. J. A. Sequence A006074/M2379 in "The On-Line Encyclopedia of Integer Sequences."Vichera, M. "Polyforms." https://web.archive.org/web/20250831090700/https://www.vicher.cz/puzzle/polyforms.htm.

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Polyabolo

Cite this as:

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

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