Posts Categorized: App

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Evolution of topics in Romeo & Juliet

Posted by & filed under 3D, App, Art, Book, Computation, Linguistics, Literature.

The actual APP that does some analysis of Shakespeare’s “Romeo and Juliet” is located HERE. Please wait through a potential little load or evaluation times, it is computing! Read below for the explanation of how app works and other ideas on Shakespeare’s data mining. April 23, 2016 marks 400th anniversary of Shakespeare’s death. Just a […]

Iconography for Elementary Cellular Automata Based on Radial Convergence Diagrams

Iconography for Elementary Cellular Automata Based on Radial Convergence Diagrams

Posted by & filed under App, CDF, Code, Demonstrations Project, Mathematica, Publishing, Wolfram.

My recent publication at the Wolfram Demonstrations Project: “Iconography for Elementary Cellular Automata Based on Radial Convergence Diagrams“.   Consider a complete set of initial conditions for a finite elementary cellular automaton (ECA). This set can be indexed by integers using a Gray code or a binary to decimal conversion. During the ECA evolution, the […]

Order, Chaos, and the Formation of a Cantor Set Attractor in Elementary Cellular Automata

Order, Chaos, and the Formation of a Cantor Set Attractor in Elementary Cellular Automata

Posted by & filed under App, CDF, Demonstrations Project, Mathematica, Publishing, Wolfram.

My recent publication at the Wolfram Demonstrations Project: Order, Chaos, and the Formation of a Cantor Set Attractor in Elementary Cellular Automata Consider finite elementary cellular automata (ECA) of size 10. All possible binary vectors of length 10 form a complete set of initial conditions (CSIC). Every step of an ECA evolution maps this set to […]

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Time Series and Cobwebs for Arbitrary Recursive Maps on the Unit Interval

Posted by & filed under App, Demonstrations Project, Mathematica, Publishing, Wolfram.

My new publication at the Wolfram Demonstration Project is Time Series and Cobwebs for Arbitrary Recursive Maps on the Unit Interval. Follow the link to view interactive version. Here is an exert from text: “The logistic map is probably the most famous and simplest example of a function from the unit interval onto itself that […]

visibility graph ECA

Horizontal Visibility Graphs for Elementary Cellular Automata

Posted by & filed under App, CDF, Demonstrations Project, Mathematica, Publishing, Widget, Wolfram.

My new publication at the Wolfram Demonstration Project is Horizontal Visibility Graphs for Elementary Cellular Automata. Follow the link to view interactive version. Here is an exert from text: “A time series can be formed from an evolution of a finite elementary cellular automaton (ECA). This can be done in a few different ways. We can […]

Polyhedra obtained by stellation

Posted by & filed under 3D, App, CDF, Mathematica, Wolfram.

Stellation is the process of constructing polyhedra by extending the facial planes past the polyhedron edges of a given polyhedron until they intersect. The set of all possible polyhedron edges of the stellations can be obtained by finding all intersections on the facial planes. Since the number and variety of intersections can become unmanageable for […]

Lissajous Patterns on a Sphere Surface

Lissajous Patterns on a Sphere Surface

Posted by & filed under 3D, App, Art, CDF, Demonstrations Project, Mathematica, Uncategorized, Wolfram.

Another Demonstration of mine was published at the Wolfram Demonstration Project. It helps to explore and create spherical artistic designs. I  generalized Lissajous curves to spherical coordinates. Azimuthal and polar angles undergo oscillations while the radius is kept constant. Although with the parameterization given I sought to emphasize the artistic side of Lissajous patterns, other spherical parameterizations […]