10044
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Combining Blocks
Different centered symmetric patterns can be seen splitting each cell of a binary
matrix into four blocks, resulting in a
matrix. There are
different possible patterns (combinations). It is possible to apply the rules to a hexagonal image too.
Contributed by:
Daniel de Souza Carvalho
Based on a program by:
Ed Pegg Jr
SNAPSHOTS
DETAILS
Each individual cell of nine blocks
is divided into four new blocks, with 16 possibilities:
Neighbors: those are the blocks side by side with the central cell
(N, E, S, W)
Corners: those are the blocks at each corner
(NW, NE, SW, SE)
Center: the cell in the middle
The same data source (the matrix) and rules are used to plot the hexagonal view; the only difference is in how the data is presented.
Inspired by: J. Tarbell, "
Breath of Complexity
." (January 3, 2007).
RELATED LINKS
Fractal
(
Wolfram
MathWorld
)
Substitution Systems and Fractals
(
NKS|Online
)
Walsh transforms
(
NKS|Online
)
PERMANENT CITATION
Daniel de Souza Carvalho
"
Combining Blocks
"
http://demonstrations.wolfram.com/CombiningBlocks/
Wolfram Demonstrations Project
Published: January 4, 2008
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
Rotating Substitution Systems
Enrique Zeleny
Evolution of Rotating Substitution Systems in 3D
Enrique Zeleny
Substitution Systems for Elements of Two Kinds
Abigail Nussey
Neighbor-Dependent Substitution Systems of Two Kinds
Abigail Nussey
Symbolic Systems
Abigail Nussey
Sequential Substitution Systems
Abigail Nussey
Multicolor Neighbor-Dependent Substitution Systems
Abigail Nussey
Cyclic Tag Systems
Abigail Nussey
Two-Dimensional Neighbor-Dependent Substitution Systems
Abigail Nussey
Sequential Substitution Networks
Abigail Nussey
Related Topics
Cellular Automata
Discrete Mathematics
Fractals
NKS / Wolfram Science
NKS Book
Substitution Systems
High School Computer Science
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+