11043
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Pascal's Triangle Mod k
Display Pascal's triangle of binomial coefficients reduced modulo
, where
can vary between 1 and 10.
Contributed by:
Stephen Wolfram
SNAPSHOTS
DETAILS
Snapshot 1: 110 rows of Pascal's triangle mod 2, the Sierpinski sieve. This pattern is produced by cellular automaton rule 90.
Snapshot 2: 230 rows of Pascal's triangle mod 5.
Snapshot 3: 50 rows of Pascal's triangle mod 10.
RELATED LINKS
History of Pascal's triangle mod k
(
NKS|Online
)
Pascal's triangle and rule 90
(
NKS|Online
)
Traditional Mathematics and Mathematical Formulas
(
NKS|Online
)
Sierpinski Sieve
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Pascal's Triangle Mod k
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/PascalsTriangleModK/
Contributed by:
Stephen Wolfram
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
Pascal-like Triangles Mod k
Hiroshi Matsui, Toshiyuki Yamauchi, Daisuke Minematsu, and Ryohei Miyadera
k-Cayley Trees
Filip Piekniewski
Regular k-ary Trees
Stephen Wolfram
Gray Code's Error Reduction with Encoders
Mark Peterson
Packing Squares with Side 1/n
Ed Pegg Jr
Prüfer Codes of Labeled Trees
Ed Pegg Jr
Binary Tree Enumeration
Michael Schreiber
Binary Gray Code
Michael Schreiber
Volume and Surface Area of the Menger Sponge
Sam Chung and Kevin Hur
Graphical L-Systems
Antonio Marquez-Raygoza
Related Topics
Classic Scientific Images
Data Structures
Recursion
Visual Patterns
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+