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Dissection of a Cube to a Quarter of a Rhombic Dodecahedron of the Second Kind
This Demonstration shows the dissection of a cube into four pieces to give a rhombic dodecahedron of the second kind.
Contributed by:
Izidor Hafner
THINGS TO TRY
Rotate and Zoom in 3D
SNAPSHOTS
DETAILS
The volume of the dodecahedron is
/2, where
d
is the larger diagonal of the golden rhombus. So the edge of the cube has length
d
/2.
RELATED LINKS
Dissection
(
Wolfram
MathWorld
)
PERMANENT CITATION
Izidor Hafner
"
Dissection of a Cube to a Quarter of a Rhombic Dodecahedron of the Second Kind
"
http://demonstrations.wolfram.com/DissectionOfACubeToAQuarterOfARhombicDodecahedronOfTheSecond/
Wolfram Demonstrations Project
Published: March 7, 2011
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3D Graphics
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