10075
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
The Four Kepler-Poinsot Solids
This Demonstration shows the four Kepler–Poinsot polyhedra and their nets in color. To make a model of a solid, copy its net to your picture editor and print the picture.
Contributed by:
Izidor Hafner
THINGS TO TRY
Rotate and Zoom in 3D
SNAPSHOTS
DETAILS
The small stellated dodecahedron and the great stellated dodecahedron were discovered by Johannes Kepler (1571–1630).
The great icosahedron and great dodecahedron were discovered by Louis Poinsot (1777–1859).
Reference
[1] P. R. Cromwell,
Polyhedra
, Cambridge: Cambridge University Press, 1997 pp. 251–256.
RELATED LINKS
Kepler–Poinsot Solid
(
Wolfram
MathWorld
)
Dissection of Two Stellated Dodecahedra
(
Wolfram Demonstrations Project
)
Great Icosahedron
(
Wolfram
MathWorld
)
Fifty-Nine Icosahedra
(
Wolfram Demonstrations Project
)
Playing with Stellations of the Icosahedron
(
Wolfram Demonstrations Project
)
PERMANENT CITATION
Izidor Hafner
"
The Four Kepler-Poinsot Solids
"
http://demonstrations.wolfram.com/TheFourKeplerPoinsotSolids/
Wolfram Demonstrations Project
Published: July 2, 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
Kepler's Rhombic Solids
Izidor Hafner
Construct Euclid's Regular Dodecahedron
Izidor Hafner
Lewis Carroll's Curve
Izidor Hafner
Two Solids Made from Golden Rhombic Solids
Izidor Hafner
Dissecting a Rhombic Dodecahedron into Two Solids
Izidor Hafner
Dissection of a Rhombic Dodecahedron of the Second Kind into a Rectangular Solid
Izidor Hafner
Dissection of Two Stellated Dodecahedra
Izidor Hafner
Euclid's Construction of a Regular Icosahedron (XIII.16)
Milana Dabic
Platonic Solids
Stephen Wolfram and Eric W. Weisstein
Relations between Golden Rhombic Solids and Some Archimedean Solids
Izidor Hafner
Related Topics
3D Graphics
Historical Mathematics
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+