One of the eight convex deltahedra built up from 16 equilateral triangles. It consists of two oppositely faced square pyramids rotated to each other and separated by a 4-antiprism. It is Johnson solid .
If the centroid is at the origin and the sides are of unit length, the equations of the 4-antiprism give height of the middle points as . Adding the height of the square pyramids gives apex heights of . The surface area and volume of the solid are
(1)(2)(3)See alsoAntiprism, Deltahedron, Dipyramid, Snub Disphenoid, Square PyramidExplore with Wolfram|AlphaMore things to try:
gyroelongated square dipyramid 12th maxterm in 4 variablesdomain of f(x,y) = log(1-(x^2+y^2)) Cite this as:Weisstein, Eric W. "Gyroelongated Square Dipyramid."From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/GyroelongatedSquareDipyramid.html
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