9893
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Euclid's Construction of a Regular Dodecahedron (XIII.17)
Let
and
be the centers of the two adjacent cube faces
and
with common side
, and let
,
,
, and
be the midpoints of
,
,
, and
.
,
, and
are points that satisfy the golden section conditions
,
, and
.
and
are perpendicular to
,
is perpendicular to
, and
.
is one face of a regular dodecahedron.
The other faces are constructed in the same way.
Contributed by:
Milana Dabic
THINGS TO TRY
Rotate and Zoom in 3D
Automatic Animation
SNAPSHOTS
DETAILS
For more information, see
http://aleph0.clarku.edu/~djoyce/java/elements/bookXIII/propXIII17.html
.
RELATED LINKS
Dodecahedron
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Euclid's Construction of a Regular Dodecahedron (XIII.17)
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/EuclidsConstructionOfARegularDodecahedronXIII17/
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 Octahedron (XIII.14)
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
Inverting the Regular Dodecahedron to a Rhombic Dodecahedron
Izidor Hafner
Framing a Rhombic Dodecahedron with Regular Octahedra
Sándor Kabai
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+