10392
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Binary Patterns of Integer Functions
Intricate patterns can be produced from the binary number representation of the results of integer functions. Is there a cellular automata rule (and initial condition) that can produce the same behavior and computation?
Contributed by:
Daniel de Souza Carvalho
SNAPSHOTS
DETAILS
There is
a cellular automaton
that computes the primes.
RELATED LINKS
Catalan Number
(
Wolfram
MathWorld
)
Factorial
(
Wolfram
MathWorld
)
Fibonacci
(
Wolfram
MathWorld
)
Lucas Number
(
Wolfram
MathWorld
)
Partition
(
Wolfram
MathWorld
)
Prime Number
(
Wolfram
MathWorld
)
Subfactorial
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Binary Patterns of Integer Functions
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/BinaryPatternsOfIntegerFunctions/
Contributed by:
Daniel de Souza Carvalho
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
Eisenstein Integer
Daniel de Souza Carvalho
Values of Combinatorial Functions
Jeff Bryant
Set Partitions Match Restricted Growth Functions
George Beck
Gaps between Successive Primes
Daniel de Souza Carvalho
Replicating Patterns in 2D Binary Cellular Automata with the Parity Rule
Hiroki Sayama
Geometric Proof of the Tetrahedral Number Formula
Jim Delany
Distance and Dissimilarity Patterns
Enrique Zeleny
Experimenting with the Ulam Spiral
Giovanna Roda
Adding Polygonal Numbers
Enrique Zeleny
Number of Repeating Digits in Base b Expansion of Fractions
Noel Patson
Related Topics
Discrete Mathematics
Number Theory
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+