The Mapping feature deforms the current screen image to follow the contours of complex variable functions.  It uses a variation of Phase Plotting, which is a technique for visualizing complex funtions.  For Liquib, the only purpose is to produce interesting picture contortions.  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 Mapping Menu provides a selection of Complex Variable Functions in terms of the complex variable z.  Click the button on Edit Tools (or type the F12 key) to toggle Mapping on/off.  Right-click to access the Mapping Menu.

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.

Liquib is not just for creating still images, but is also about constant motion and transformation.  The intense processing needed to Map such evolving scenes might make the action seem a bit sluggish, especially with large, high-resolution monitors.  Click Mapping Options on the Mapping Menu to show a sub-menu of choices for the level of Quality to use for Mapping during continuous activity, (such as while Automatic Effects or Sequons are in progress).  Setting the Use Low Quality During Continuous Activity option will allow the action to occur with noticeably faster performance, though with somewhat pixelated results.  The Mapped scene will be automatically re-rendered with Best Quality immediately after the activity has completed, or whenever the action is paused (just hit the Space bar).