Dissecting a Cube into a Rhombohedron and Three Congruent Cubes

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This Demonstration shows a dissection of a cube into an acute golden rhombohedron and three congruent cubes.

References

[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.

External Links

Golden Rhombohedron (Wolfram MathWorld)

Acute Golden Rhombohedron (Wolfram MathWorld)

Dissection of a Cube to a Quarter of a Rhombic Dodecahedron of the Second Kind

Dissecting a Rhombic Triacontahedron into Twenty Congruent Cubes

26-Piece Dissection of a Cube

Golden Isozonohedron (Wolfram MathWorld)

Rhombic Icosahedron (Wolfram MathWorld)

Kepler's Rhombic Triacontahedron and Rhombic Icosahedron

Approximate Rhombic Icosahedron

Double Rhombic Icosahedron

Golden Rhombic Solids with Nets

Permanent Citation

Izidor Hafner

"Dissecting a Cube into a Rhombohedron and Three Congruent Cubes"
http://demonstrations.wolfram.com/DissectingACubeIntoARhombohedronAndThreeCongruentCubes/
Wolfram Demonstrations Project
Published: February 26, 2019