Note that some browsers will require you to click once on the animation before any keystrokes will be recognized.

Please see also our sister site, NearNumbers.net!


Shape/Mapping explorer (click image at left to view demo)
  • Instructions coming at a later time; in the meantime, the demo shows a bit!

Download the pre-alpha version:  
  • Windows (no installer—just unzip the file and run mapping.exe from the Install folder)
  • Mac OS X (copy the application from the disk image and run it)

Linear system explorer (click image at left to view)
Examples:  

Linear Combination Explorer (click image at left to view)
  • Starts with an assortment of examples of linear combinations; press [Page-Down] to scroll through them. Rational numbers can be entered as coefficients; use [Space] to cycle through the coefficients and [C] to clear all coefficients to 0.
  • On the last page, pressing [V] and [S] display labels indicating the notation used for vectors and scalars, respectively.
  • [Home] restarts the examples with "linear combination problems" of building some vector as a linear combination of the given collection. Press the [Up] and [Down] arrows to change targets: some are possible to build (i.e., give consistent systems) and some are impossible (i.e., give inconsistent systems); most examples are linearly dependent and allow multiple solutions when consistent, so that this concept can be explored. To show the solution (or best approximation), press [?].

Complex Powers & Roots (click image at left to view)
  • Press "2"-"6" to change the exponent.
  • Hold [shift] / [ctrl] to hold magnitude / argument fixed while moving point.
  • "B" toggles display of the branch cut and branches of the inverse function.
  • "D" toggles visualization of the derivative for the left-to-right function.

Complex Exponential & Logarithm (click image at left to view)
  • Hold [shift] / [ctrl] to hold magnitude/argument (or real/imaginary part) fixed while moving point.
  • "B" toggles display of the branch cut and branches of the inverse function.
  • "D" toggles visualization of the derivative for the left-to-right function.

Möbius Transformations (click image at left to view)
  • Click the four coefficients to enter values.
  • ">" and "<" increase/decrease the radius of a circle drawn about the domain point.
  • "C", "P", and "N" draw Cartesian, Polar, or No coordinate lines on the domain.