Dissecting a Cube into a Golden Acute Rhombohedron and Three Congruent Rectangular Solids
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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.
Contributed by: Izidor Hafner (April 2019)
Open content licensed under CC BY-NC-SA
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Reference
[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 Mathematics 4(2), 2002. www.mi.sanu.ac.rs/vismath/hafner4/SFVisual.html.
Permanent Citation
Dissecting a Cube into an Acute Golden Rhombohedron and Three-Quarters of a Bilinski Dodecahedron
Izidor Hafner
Dissecting an Acute Golden Rhombohedron into a Rectangular Solid
Izidor Hafner
Dissecting a Rectangular Solid into an Acute Golden Rhombohedron and Half a Bilinski Dodecahedron
Izidor Hafner
Dissecting a Rectangular Solid into an Obtuse Golden Rhombohedron and Half a Bilinski Dodecahedron
Izidor Hafner
Filling Space with a Bilinski Dodecahedron and an Acute Golden Rhombohedron
Izidor Hafner
Dissecting and Reassembling a Cube into Three Different Solids
Izidor Hafner
Two Dissections of a Golden Rhombohedron into One-Half of a Bilinski Dodecahedron
Izidor Hafner
Dissection of a Bilinski Dodecahedron into a Rectangular Solid
Izidor Hafner
Dissecting a Bilinski Dodecahedron into a Near Cube
Izidor Hafner
Space Filling with Two Bilinski Dodecahedra and Four Obtuse Golden Rhombohedra
Izidor Hafner