Given a flat object in Illustrator, how can I scale it along the X or Y axis so that it stretches in an exponential fashion? That means that the center barely is stretched, but the outer extents stretch much more? I know there are some warp effects, but those seem to affect both axes.
Scaling the object using guides:
I made this template which contains the exponential/logarithmic lines.
Create a new letter size Document in Illustrator and Place the template.
Because in this case I'm going to use the exponential lines, we are going to lock it and hide the logarithmic lines.
Import your flat object into Illustrator.
Select your object and go to Object > Envelope Distort > Make with Mesh.
Depending on the orientation of the scaling, insert 13 and 1 respectively.
Now, that you applied the Envelope Distort to the object, Align each row/column of anchors with the template.
You may have some luck playing around with the transform effect tool inside the appearance panel.
- make your shape
- select the shape
- open the "Appearance" panel
- make sure "contents" at the top of the panel is selected
- click the fx button at the bottom of the panel
- this will bring up illustrator effects contextual menu > click Distort & Transform >click transform...
- from here you can play around with the move and scale tool to affect those properties.
- You may want to adjust the copies box, this will give you exponential scaling abilities.
- be sure to tick the preview button
once done, you can use the pathfinder tool to combine the shape.
Hope this gives some insight into what you are trying to accomplish.