The Mapping feature applies effect Tiles along the contours of complex variable functions.  It uses a variation of Phase Plotting, which is a technique for visualizing complex funtions.  A complex number is composed of both real and 'imaginary' parts, commonly represented in the form z = a + bi, where a is the real value and b is the imaginary value (i is the square root of -1).  The Maps Menu provides a selection of Complex Variable Functions in terms of the complex variable z.  Click the button on Kaleid Tools (or type the F12 key) to toggle Mapping on/off.  Right-click to access the Maps Menu.

Mapped scenes will continually change as Kaleider activity occurs, such as while manually shifting effects, or with automated Wandering motion, or during Automatic Effects.  The Quality Control screen can be used to specify a default Quality Level for Maps.  There are also options to temporarily use lower Quality Levels during continuous activity.

Click Mapping Options on the Maps Menu to control additional Mapping capabilities.  Set Allow Shifting Mapped Effects to show Tile motions in the Mapped scene (when Center is off).  Otherwise, Mapped Tiles will remain stationary (as when Center is on).  Similarly, Tile Scaling can be expressed in Maps when the Allow Scaling Mapped Effects option is set.  It's also possible to show Rooms and/or Surfaces in Maps by setting the Map Room Scenes and/or Map Non-Flat Surfaces options.  Maps can optionally be used within Pattern Combo Areas as specified during the Combo Design process.

Mapping activity is recorded with Scripts, and the captured Mapping Actions can potentially be altered via the Script Control and Editing screen.  Mapping can optionally be included with Automatic Effects.  Use the Maps tab of the Configuration screen to control how often Mapping should be applied, and which Map Functions are available for random selection.