Using the Iterate Dialog Box

To construct the iterated images of one or more objects:

1.  Select the initial pre-image objects whose positions or values define the iteration. You may select independent points, points constructed on paths, or independent parameters as your initial objects. (In other words, initial objects must be objects whose positions or values are not fully determined by other objects. Objects whose position or value depends on these initial objects will be iterated automatically as you iterate the initial objects.)

2.  Choose Iterate from the Transform menu.

The Iterate dialog box appears.

Drag the Iterate dialog box out of the way if it’s hiding the destination images you want to click.

3.  For each selected pre-image, click the corresponding first image of that object to which the pre-image maps during the iteration. For a pre-image point, click a dependent image point to which it should move during the iteration. For a pre-image parameter value, click a dependent calculated value. Images must be objects that are defined in terms of your pre-images, so that their position or value changes as the pre-image changes.

As you specify each destination image, a partial iteration appears in the sketch corresponding to the matches you’ve specified so far.

4.  You can use the Display pop-up menu to change the appearance of the iteration. See Display Options for a description of the available options.

5.  You can use the Structure pop-up menu to change the structure of the iteration. See Structure Options for a description of the available choices.

6.  Once you’ve specified the destination for each of the selected pre-images, click Iterate to finalize the iteration.

The constructed iteration appears. Use Iteration Properties to change the depth or other characteristics of the iteration.

See also
Display Options

Structure Options

Parametric Depth

How To Construct a Sierpinski Gasket

Iterations and Iterated Images

Iteration Properties

Object Relationships: Parents and Children

Parameters