Wolfram Computation Meets Knowledge

The Celebration Continues: 5,000+ Demonstrations

Last week we proudly celebrated the milestone of 5,000 Demonstrations. As each one is a separate program, this represents a huge collaborative software development.

And now, every Demonstration has its preview animation available on YouTube. Each has a unique soundtrack created with variations on a custom WolframTones selection.

Some facts and figures: over the last year, there have been nearly 14 million visits to all Demonstrations pages, with 3.5 million unique visitors to the main site. As stated in the previous blog post, Demonstrations have been viewed over 6 million times. Over 1 million notebooks have been downloaded using the Mathematica Player and over half a million source notebooks have been downloaded.

Here are the top Demonstration topics:

3D Graphics
Quantum Mechanics
Version 7 Features
Mechanical Engineering
College Physics
Plane Geometry
Differential Equations
For Kids
Linear Algebra

These are the top 18 Demonstrations over the last year, with over 10,000 downloads on average:

Operating an AC Three-Phase Induction Motor, by Harley H. Hartman
Operating an AC Three-Phase Induction Motor

The Commutative Property of Multiplication, by Sarah Lichtblau
The Commutative Property of Multiplication

Periodicity of Euler Numbers in Modular Arithmetic by Oleksandr Pavlyk
Periodicity of Euler Numbers in Modular Arithmetic

Electric Fields for Three Point Charges, by S. M. Blinder
Electric Fields for Three Point Charges

Learn Musical Notes, by Carlos Ylagan
Learn Musical Notes

Sine, Cosine, Tangent and the Unit Circle, by Eric Schulz
Sine, Cosine, Tangent and the Unit Circle

Brake Shoes, by Sándor Kabai
Brake Shoes

Laser Diffraction Pattern, by Roger Germundsson and Devendra Kapadia
Laser Diffraction Pattern

Profit Maximization in Perfect Competition, by Fiona Maclachlan
Profit Maximization in Perfect Competition

Relation of Radius, Surface Area, and Volume of a Sphere, by Joe Bolte
Relation of Radius, Surface Area, and Volume of a Sphere

Newton’s Law of Cooling, by Jeff Bryant
Newton's Law of Cooling

Square-Hole Drill in Three Dimensions, by Stan Wagon
Square-Hole Drill in Three Dimensions

Visualizing Atomic Orbitals, by Guenther Gsaller
Visualizing Atomic Orbitals

Wave-Particle Duality in the Double-Slit Experiment, by S. M. Blinder
Wave-Particle Duality in the Double-Slit Experiment

Solids of Revolution, by Abby Brown and MathematiClub
Solids of Revolution

Amplitude Modulation, by Jakub Serych
Amplitude Modulation

Radial Engine, by Yu-Sung Chang
Radial Engine

Expected Returns of the Dow Industrials, Fama-French Model, by Jeff Hamrick and Jason Cawley
Expected Returns of the Dow Industrials, Fama-French Model

Please help get us to 10,000 Demonstrations! If you’re not already a Demonstrations author, check out how to participate.


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  1. Wonderfull. Congratulations. But I only see 18 demonstrations !

  2. Bernard,

    Thanks for checking our math. :) We have fixed the typo.

    Wolfram Blog Team

  3. Hi, Congratulations,Thanks for your help and suggestions in all demonstrations, i want to see 10,000 demonstrations in wolfram demonstration project may be in 2011 o 2012, i like a lot.

  4. Thank you for all these demonstrations!

    I would like to have more information about the “Four Runner Problem” (http://demonstrations.wolfram.com/TheFourRunnerProblem/, by George Beck). For instance: where does this open problem come from, are there any references about this problem? I didn’t find anything on the web about it.

    Thank you very much!

    • Hi Gauthier,

      It was my master’s problem assigned to me in 1970 or so by George White (since deceased) at the University of British Columbia. I failed to solve it.

      However, I found a symmetry: the number of permutations achieved for rates r1, r2, r3, r4 is the same as that for r4, r4-r1, r4-r2, r4-r3. Here is why. Think of the starting point as runner 0 with rate 0. (Runner 0 breaks the cycle, giving the starting point.) Rotate the plane by -r4 so that the rates for the five runners are now -r4, r1-r4, r2-r4, r3-r4, 0. (Runner 4 now becomes stationary.) Look at the plane from the other side: the rates are 0, r4-r3, r4-r2, r4-r1, r4.

      I think I will add that to the Demonstration now.

      If you solve it, please let me know.