Dissecting a Cube into a Golden Acute Rhombohedron and Three Congruent Rectangular Solids

This Demonstration shows a seven-piece dissection of a cube into an acute golden rhombohedron and three congruent rectangular solids. The viewpoint changes with the slider. Any one of the rectangular solids can be reassembled into a quarter of a Bilinski dodecahedron.

[I] 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.