10230
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
A Polygon That Folds into a Regular Tetrahedron or into a Rectangular Box
This Demonstration shows a polygon that folds into a regular tetrahedron or into a rectangular solid.
Contributed by:
Izidor Hafner
Based on work by:
Erik D. Demaine
and
Joseph O'Rourke
THINGS TO TRY
Rotate and Zoom in 3D
SNAPSHOTS
DETAILS
E. D. Demaine and J. O'Rourke,
Geometric Folding Algorithms: Linkages, Origami, Polyhedra
, New York: Cambridge University Press, 2007 p. 425.
RELATED LINKS
Net
(
Wolfram
MathWorld
)
Two Convex Polyhedra with the Same Net
(
Wolfram Demonstrations Project
)
Unfolding
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
A Polygon That Folds into a Regular Tetrahedron or into a Rectangular Box
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/APolygonThatFoldsIntoARegularTetrahedronOrIntoARectangularBo/
Contributed by:
Izidor Hafner
Based on work by:
Erik D. Demaine
and
Joseph O'Rourke
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
Three Ways to Fold a Net of Eight Triangles
Izidor Hafner
Folding a Triangular Net into a Boat
Izidor Hafner
Three Polyhedra with Rectangular Nets
Izidor Hafner
A Net That Folds into an Icosahedron or into a Double Biaugmented Triangular Prism
Izidor Hafner
Dissection of Four Rhombic Dodecahedra into a Truncated Tetrahedron and a Tetrahedron
Izidor Hafner
Dissection of Hill's Tetrahedron of Type 1
Izidor Hafner
Miura Map Folding and Unfolding
Thomas C. Hull
Dissection of a Special Rectangular Solid to a Cube
Izidor Hafner
Six-Piece Dissection of a Tetrahedron into Its Mirror Image
Izidor Hafner
Dissecting a Cube into a Tetrahedron and a Square Pyramid
Izidor Hafner
Related Topics
3D Graphics
Polyhedra
Recreational Mathematics
Solid Geometry
Browse all topics
Related Curriculum Standards
US Common Core State Standards, Mathematics
6.G.A.4
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+