Dissecting a Cube into an Acute Golden Rhombohedron and Three-Quarters of a Bilinski Dodecahedron

This Demonstration shows a seven-piece dissection of a cube into an acute golden rhombohedron and three-quarters of a Bilinski dodecahedron (rhombic dodecahedron of the second kind, RD2). The viewpoint changes with the first slider.

[1] I. Hafner and T. Zitko, "From Dissection of the Cube to Space Filling with Prolate Rhombohedra and Rhombic Dodecahedra of the Second Kind," Visual Mathematics4(2), 2002. www.mi.sanu.ac.rs/vismath/hafner4/SFVisual.html.