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Symmetric Shapes

A can have symmetry added to it using the Path Symmetry submenu. This provides the following menu items:

Path Symmetry->Has Symmetry
If this menu item is selected, symmetry will be added to the path. For example, Figure 8.7(a) shows a path in edit mode, and Figure 8.7(b) shows the path with symmetry applied to it. There are now two extra (colored blue). These points govern the line of symmetry8.2. In Figure 8.7(c), these two controls have been moved.

If you later decide to remove the symmetry, deselect Path Symmetry->Has Symmetry.

Adding symmetry to a closed shape may cause unexpected results as the shape will be first opened (without removing the last segment), the symmetry will be added, and then the symmetric shape will be closed, merging the end points.

Path Symmetry->Anchor End Control
When you add symmetry to a path, the final control point of the underlying path is anchored to the line of symmetry. That is, it can only move along the line defined by the two blue control points. To remove the constraint, deselect this menu item. In Figure 8.7(d), the end anchor item has been deselected, and the end control moved away from the line of symmetry.

Note that this function places a gap (move) segment between the end control and its symmetric counterpart. This can be changed to a line or curve, using Convert To Line or Convert To Curve, as described in Editing Control Points. In Figure 8.7(e), the join has been changed to a curve. Unlike the Bézier curves in the non-symmetric paths, this curve only has one curvature control.

symmetrica
(a)
symmetricb
(b)
symmetricc
(c)
symmetricd
(d)
symmetrice
(e)
Figure 8.7: Adding Symmetry to a Path: (a) original path; (b) symmetry added to path in (a) the two blue controls govern the line of symmetry; (c) the line of symmetry has been moved, altering the overall appearance of the shape; (d) the end anchor constraint has been removed and the end control has been moved away from the line of symmetry; (e) the joining segment has been converted to a curve with only one curvature control.

Path Symmetry->Anchor Start Control
This menu item is only available for closed symmetric paths. A closed symmetric path by default has its first anchored to the line of symmetry. Deselect this menu item to remove the constraint. For example, Figure 8.8(a) shows a closed symmetric path (a closed version of Figure 8.7(e)). The anchor on the first control was then removed and the control was moved to the left (Figure 8.8(b)). As with the join segment (above) the gap segment between the start control and its reflect can be changed to a line or curve. As above, the curve only has one curvature control (Figure 8.8(c)).

closedsymmetrica
(a)
closedsymmetricb
(b)
closedsymmetricc
(c)
Figure 8.8: Closed symmetric path: (a) the symmetric path in Figure 8.7(e) has been closed--the first control is now anchored to the line of symmetry; (b) deselecting the close anchor constraint allows the start control to be moved away from the line of symmetry; (c) the segment closing the symmetric path has been changed to a curve.

See also:



Footnotes

... symmetry8.2
The line of symmetry extends infinitely though the two controls, but only the part of the line between the two points is actually displayed in edit mode.

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