Mathematica Player and arty Demonstrations

By Murray Bourne, 31 Mar 2009

mathematica cupThe Mathematica Player is a free download. It allows the user to interact with math objects made using the Mathematica computer algebra system.

There is an extraordinary collection of such Mathematica objects — almost 5000 of them — in the Wolfram Demonstrations Project.

This download is really cool because you get a working Mathematica math engine. You can't create anything or save anything but you can play with all the math objects (by sliding sliders or otherwise changing numerical parameters) to explore a vast range of math and geometry. They give you an animation of each one, but it is much better to get the download since you can change the parameters however you like and you learn a lot more.

The Demonstrations have been contributed by mathematicians all over the world. They cover the following topics:

  • Mathematics
  • Computation
  • Physical Sciences
  • Life Sciences
  • Business & Social Systems
  • Systems, Models, & Methods
  • Engineering & Technology
  • Our World
  • Creative Arts
  • Kids & Fun

The following screen shots are from some of the demonstrations. I liked these ones for their artistic geometry.

This one is called "Line Art":

mathematica art

Next we have a 3-D demonstration of parabolic cylindrical coordinates:

mathematica parabolic

This is a circle formed from intersecting chords of a larger circle:

mathematica circle

This next one is called "Connected Astroids". For those of you (like me) who are not sure what an astroid is, from Wikipedia:

An astroid is a hypocycloid with four cusps. Astroids are also superellipses: all astroids are scaled versions of the curve specified by the equation x2/3 + y2/3 = 1

mathematica connected astroids

Real Elliptic Curves arise from the intersection of a curve and a plane:

mathematica real elliptic curve

So go download the Mathematica Player and start exploring all those thousands of Demonstrations. It's certainly worth it!

That link again: Mathematica Player.

See the 2 Comments below.

2 Comments on “Mathematica Player and arty Demonstrations”

  1. kewani says:

    i really love your dedication.
    thank you!!!!!!!!!!!!!

  2. Nema Mansuri says:

    Nifty.

Leave a comment


Comment Preview

HTML: You can use simple tags like <b>, <a href="...">, etc.

To enter math, you can can either:

  1. Use simple calculator-like input in the following format (surround your math in backticks, or qq on tablet or phone):
    `a^2 = sqrt(b^2 + c^2)`
    (See more on ASCIIMath syntax); or
  2. Use simple LaTeX in the following format. Surround your math with \( and \).
    \( \int g dx = \sqrt{\frac{a}{b}} \)
    (This is standard simple LaTeX.)

NOTE: You can't mix both types of math entry in your comment.

Search IntMath, blog and Forum