Dissecting an Acute Golden Rhombohedron into a Rectangular Solid

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This Demonstration shows a dissection of an acute golden rhombohedron into a rectangular solid. If diagonals of the corresponding golden rhombus are 2 and

2ϕ

(

ϕ

is the golden ratio), the volume of the rhombohedron is

2×ϕ×ϕ=2

2

ϕ

.

External Links

Golden Rhombohedron (Wolfram MathWorld)

Bilinski Dodecahedron (Wolfram MathWorld)

Golden Isozonohedron (Wolfram MathWorld)

Dissecting a Large Cube into a Bilinski Dodecahedron and a Small Cube

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

Universal Rhombic Dodecahedron

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

Dissecting and Reassembling a Cube into Three Different Solids

Dissecting Two Cubes into Golden Rhombohedra

Permanent Citation

Izidor Hafner

"Dissecting an Acute Golden Rhombohedron into a Rectangular Solid"
http://demonstrations.wolfram.com/DissectingAnAcuteGoldenRhombohedronIntoARectangularSolid/
Wolfram Demonstrations Project
Published: May 10, 2019