Sin Tree

t * sin (t) = Christmas tree

Posted by & filed under Art, Code, Community, Graphics, Mathematica, Wolfram, Wolfram Language.

Another code sample from Wolfram Community. I noticed that a discussion about programming a lighted Christmas Tree from a simple equation t*Snt[t] became very popular on Reddit. It is connected to a project a programmer developed. I thought how fast we can make it with Wolfram language? Here is the result with slight flickering Note […]

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Dancing with friends and enemies: swarm intelligence

Posted by & filed under Art, Code, Community, Graphics, Mathematica, Wolfram.

This post is based on a thread from Wolfram Community. The rules by Simon Woods are simple: 1000 dancers assume random positions on the dance-floor. Each randomly chooses one “friend” and one “enemy”. At each step every dancer moves 0.5% closer to the centre of the floor, then takes a large step towards their friend […]

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 […]

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Mighty reads: “The Dog Stars” by Peter Heller

Posted by & filed under Book.

This is a great little book. I recommend the audio book edition read by Mark Deakins. A few good qoutes. “[The Dog Stars] gripped me—it’s the real deal. Heller’s voice is extraordinary and his narrator’s toughness seems to hide a beautiful and aching restlessness. One of those books that makes you happy for literature.” —Junot […]

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 […]

Wolfram Community is live and public!

Posted by & filed under Wolfram.

On Tuesday July 23, 2013 we publicly released a marvelous project I am and have been part of for a bit already – Wolfram Community. Read about it in the article I wrote for Wolfram Blog. The project in its essence is a networking portal for everyone interested in Wolfram Technologies. People can connect, share […]

Cobweb Diagrams of Elementary Cellular Automata

Cobweb Diagrams of Elementary Cellular Automata

Posted by & filed under Uncategorized.

My recent publication at the Wolfram Demonstrations Project: Cobweb Diagrams of Elementary Cellular Automata “Each possible state in the evolution of an elementary cellular automaton (ECA) can be uniquely labeled by an integer. For a finite-width ECA, this set is mapped to itself during the ECA evolution. Thus an ECA defines a recurrence relation on a […]

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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 […]

The Shadow Of The Wind

Mighty reads: “Shadow of the Wind” by Carlos Ruiz Zafón

Posted by & filed under Art, Book, Review.

I just finished reading “Shadow of the Wind” by Carlos Ruiz Zafón. I would highly recommend this book to anyone who is a fan of fiction. Exceptional style of writing wraps twists of story-line unraveling the mystery in rich poetic and metaphoric language. Besides dramatic roller-coaster of events and emotions, the book constantly induces thoughts and imagery and […]

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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 […]

xkcd-graphs

Automating xkcd Diagrams: Transforming Serious to Funny

Posted by & filed under Art, CDF, Mathematica, Press, Publishing, Wolfram.

An article I wrote for Wolfram Blog was just released. Here is the beginning: “On early Monday morning I noticed an interesting question posted on Mathematica Stack Exchange titled quite innocently “xkcd-style graphs.” Due to the popularity of Randall Munroe’sxkcd web comic, I expected a bit more than average of about ten or so up-votes, a few bookmarks. Little did I […]

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 […]

Stereoscopic 3D Macromolecule 1TF6

Posted by & filed under 3D, Mathematica, red-cyan, Stereoscopic, Video, Vimeo, Wolfram.

Stereoscopic 3D Macromolecule 1TF6 from Vitaliy Kaurov on Vimeo. To watch this video you need “red-cyan anaglyph glasses”.  This video was made with Mathematica 7. This type of red-cyan anaglyph videos can be useful for display of complex 3D structures. Once the structure is built it takes just a few lines of Mathematica code to […]