10321
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
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
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Dissection of a Rhombic Dodecahedron of the Second Kind into a Rectangular Solid
Izidor Hafner
Dissecting Two Rhombic Dodecahedra of the Second Kind into a Cube
Izidor Hafner
Space Filling with a Rhombic Dodecahedron of the Second Kind
Izidor Hafner
Dissection of Bilunabirotunda into Two Pentagonal Dipyramids and a Rhombic Dodecahedron of the Second Kind
Izidor Hafner
Dissection of Two Rhombic Dodecahedra of the Second Kind
Izidor Hafner
Symmetric Compositions of Rhombic Dodecahedra of the Second Kind
Izidor Hafner
Dissecting a Rhombic Dodecahedron into Two Solids
Izidor Hafner
Dissection of a Cube into Three Bilunabirotundas, a Dodecahedron, and a Smaller Cube
Izidor Hafner
Decomposing a Rhombic Dodecahedron into a Trapezoid-Rhombic Dodecahedron
Izidor Hafner
Dissection of a Concave Rhombic Triacontahedron
Izidor Hafner
Related Topics
3D Graphics
Polyhedra
Recreational Mathematics
Solid Geometry
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+