11,000+
Interactive Demonstrations Powered by Notebook Technology »
TOPICS
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
Evolution of Rotating Substitution Systems in 3D
Enrique Zeleny
Rotating Substitution Systems
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