10753
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Euclid's Construction of a Regular Octahedron (XIII.14)
Let
be the center of an arbitrary sphere,
and
be two perpendicular diameters, and
be the diameter perpendicular to the plane defined by
and
. Then
is a regular octahedron.
Contributed by:
Milana Dabic
THINGS TO TRY
Rotate and Zoom in 3D
Automatic Animation
SNAPSHOTS
RELATED LINKS
Octahedron
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Euclid's Construction of a Regular Octahedron (XIII.14)
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/EuclidsConstructionOfARegularOctahedronXIII14/
Contributed by:
Milana Dabic
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
Euclid's Construction of a Regular Icosahedron (XIII.16)
Milana Dabic
Euclid's Construction of a Regular Dodecahedron (XIII.17)
Milana Dabic
Proposition 30, Book XI, Euclid's Elements
Izidor Hafner
Proposition 29, Book XI, Euclid's Elements
Izidor Hafner
Proposition 7, Book XII, Euclid's Elements
Izidor Hafner
Proposition 3, Book XII, Euclid's Elements
Izidor Hafner
Proof of Proposition 28, Book XI, Euclid's Elements
Izidor Hafner
Platonic Solids
Stephen Wolfram and Eric W. Weisstein
Constructing the Regular Icosahedron
Izidor Hafner
Two Proofs that the Volume of the Regular Octahedron Is Four Times the Volume of the Regular Tetrahedron
Izidor Hafner
Related Topics
3D Graphics
Greek Mathematics
Polyhedra
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+