Elongated Square Dipyramid


The equilateral elongated square dipyramid, illustrated above together with its net, is Johnson solid J_(15).

A version of the elongated square dipyramid that is "squashed" along the 4-fold symmetry axis so that the pyramid edge lengths are in ratio of sqrt(3)/2 to the central cube edge lengths is a space-filling polyhedron and stereohedron.


These and the canonical variant of the elongated square dipyramid are illustrated above. They will are implemented in the Wolfram Language as PolyhedronData["EquilateralElongatedSquareDipyramid"], PolyhedronData["StereohedralElongatedSquareDipyramid"], and PolyhedronData["CanonicalElongatedSquareDipyramid"], respectively.

An elongated square dipyramid (having a central ribbon composed of rectangles instead of squares) appears in the top center as one of the polyhedral "stars" in M. C. Escher's 1948 wood engraving "Stars" (Forty 2003, Plate 43).

See also

Elongated Pentagonal Dipyramid, Johnson Solid, Square Dipyramid

Explore with Wolfram|Alpha


Escher, M. C. "Stars." Wood engraving. 1948., S. M.C. Escher. Cobham, England: TAJ Books, 2003.Johnson, N. W. "Convex Polyhedra with Regular Faces." Canad. J. Math. 18, 169-200, 1966.

Cite this as:

Weisstein, Eric W. "Elongated Square Dipyramid." From MathWorld--A Wolfram Web Resource.

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