11086
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Chord Diagrams for Motzkin Numbers
This Demonstration illustrates one of the many interpretations of the Motzkin numbers: Given
points arranged around a circle, the Motzkin numbers count the number of ways to draw from zero to
nonintersecting chords.
Contributed by:
Robert Dickau
THINGS TO TRY
Slider Zoom
Automatic Animation
SNAPSHOTS
DETAILS
Reference
[1] R. P. Stanley,
Enumerative Combinatorics
, Volume 2, Cambridge: Cambridge University Press, 1999 p. 238.
RELATED LINKS
Motzkin Number
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Chord Diagrams for Motzkin Numbers
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ChordDiagramsForMotzkinNumbers/
Contributed by:
Robert Dickau
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
Motzkin Number Diagrams
Robert Dickau
Self-Avoiding Paths through a Lattice
Robert Dickau
Schröder Number Diagrams
Robert Dickau
Bell Number Diagrams
Robert Dickau
Derangement Diagrams
Robert Dickau
Lah Numbers
Robert Dickau
Narayana Numbers
Robert Dickau
Euler Zigzag Numbers
Robert Dickau
Stairstep Interpretation of Catalan Numbers
Robert Dickau
Stirling Numbers of the Second Kind
Robert Dickau
Related Topics
Combinatorics
Discrete Mathematics
Plane 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+