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

.