A polyhedron compound of the great icosahedron and its dual great stellated dodecahedron most easily constructed by adding the polyhedron vertices of the former to the latter.
Great Icosahedron-Great Stellated Dodecahedron Compound
See also
Great Dodecahedron-Small Stellated Dodecahedron Compound, Great Icosahedron, Great Stellated Dodecahedron, Polyhedron CompoundExplore with Wolfram|Alpha
References
Cundy, H. and Rollett, A. "Great Icosahedron Plus Great Stellated Dodecahedron." §3.10.4 in Mathematical Models, 3rd ed. Stradbroke, England: Tarquin Pub., pp. 132-133, 1989.Wenninger, M. J. Dual Models. Cambridge, England: Cambridge University Press, pp. 51-53 1983.Referenced on Wolfram|Alpha
Great Icosahedron-Great Stellated Dodecahedron CompoundCite this as:
Weisstein, Eric W. "Great Icosahedron-Great Stellated Dodecahedron Compound." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/GreatIcosahedron-GreatStellatedDodecahedronCompound.html