10668
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Goldberg's Tristable Polyhedron
This Demonstration shows Goldberg's tristable polyhedron. According to Goldberg, the given polygons allow three states. Real materials deform only by small amounts, allowing the polyhedron to appear to flex.
Contributed by:
Izidor Hafner
THINGS TO TRY
Rotate and Zoom in 3D
Slider Zoom
Gamepad Controls
Automatic Animation
SNAPSHOTS
DETAILS
References
[1] P. R. Cromwell,
Polyhedra
, New York: Cambridge University Press, 1997, p. 224.
[2] M. Goldberg, "Unstable Polyhedral Structures,"
Mathematics Magazine
,
51
, 1978 pp. 165–170.
[3] D. Wells,
The Penguin Dictionary of Curious and Interesting Geometry
, London: Penguin, 1991 p. 161.
RELATED LINKS
Multistable Polyhedron
(
Wolfram
MathWorld
)
Steffen's Flexible Polyhedron
(
Wolfram Demonstrations Project
)
PERMANENT CITATION
Izidor Hafner
"
Goldberg's Tristable Polyhedron
"
http://demonstrations.wolfram.com/GoldbergsTristablePolyhedron/
Wolfram Demonstrations Project
Published: January 29, 2014
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
Parametrized Goldberg's Tristable Polyhedron with 12 Faces
Izidor Hafner
Colored Szilassi Polyhedron
Izidor Hafner
Bezdek's Unistable Polyhedron With 18 Faces
Izidor Hafner
Nets of Some Simple Polyhedron Compounds
Izidor Hafner
Infinitesimally Movable Polyhedron with 18 Faces
Izidor Hafner
Volume of a Polyhedron Given by a Particular Net
Izidor Hafner
Realization of Heawood's Map on a Toroidal Polyhedron
Izidor Hafner and Lajos Szilassi
Biggest Little Polyhedron
Ed Pegg Jr
Unfolding Polyhedron Nets
Jon McLoone
Slicing a One-Sided Polyhedron
Robert Dickau, Gonzalo Vélez-Jahn, Luis Vélez, and Roger Bagula
Related Topics
3D Graphics
Polyhedra
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+