11317
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Euler's Polyhedral Formula
Let the number of vertices, edges, and faces of a polyhedron be
,
, and
. The Euler characteristic,
, is always 2 for convex polyhedra. This Demonstration shows Euler's polyhedral formula
for the Platonic solids.
Contributed by:
Hector Zenil
THINGS TO TRY
Rotate and Zoom in 3D
SNAPSHOTS
RELATED LINKS
Polyhedral Formula
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Euler's Polyhedral Formula
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/EulersPolyhedralFormula/
Contributed by:
Hector Zenil
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
Counterexamples to Euler's Formula for Nonconvex Polyhedra
Izidor Hafner
Polyhedral Koalas
Catherine Wolfram
Cube Net
Michael Schreiber
Platonic Solids
Stephen Wolfram and Eric W. Weisstein
Polyhedron Dual
Michael Schreiber
Cumulation
Eric W. Weisstein
Biggest Little Polyhedron
Ed Pegg Jr
Roofing a Cube to Produce a Dodecahedron
Sándor Kabai
Nets of Polyhedra
Stephen Wolfram
Cross Sections of Regular Polyhedra
Oleksandr Pavlyk and Maxim Rytin
Related Topics
Graph Theory
Polyhedra
Recreational Mathematics
Solid Geometry
Topology
High School Finite Mathematics
High School Geometry
High School Mathematics
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+