As I (mis)understand it (your wishing to create a logo that does not follow a 3D shape like the old one but is 2D curved as/below the black curved path so that the shapes of the tick marks, figures, and letters, are adapted (including their being (more) curved) to fit the shape), you may:
1) Create a nofill/nostroke rectangle with the same width and height as the logo and place it over it so that the top of the tick marks form the vertical centre, you may group the whole thing;
2) Select the whole thing and in the Brushes flyout tick New Brush, select Art Brush and tick Proportional;
3) Apply the brush to the curved path.
Thanks Mike, this is so cool . I'm being a little fussy here, The top of the letters don't seem to be applying to the curve. It's actually going more to the centre (I know in my pic I'm a little out of position with the curved path but was taking a screenshot). Position.jpg is actually placed properly.
So the actual radius at the top of my logo is different and the points will never match properly. Any ideas on how to position the curve to the top of the logo markings? Create brush.jpg is the positioning of the invisible box and path I used to create the art brush.
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You are welcome, PF.
In addition to what Mike said, effectively you rotate the brush 180 degrees (you could also rotate the logo before creating the brush).
The issue is that your curved path goes right to left. If you start out with a path from left to right you can create a normal (left to right) brush from the logo.
Hopefully, this sounds only moderately silly.
Edit (after seeing post #4):
PF, to have the top of the (tick marks of the) logo to follow the curved path you need to extand the Art Brush upwards by the same height as the logo, hence the nofill/nostroke rectangle in the first post.
The centre of the brush follows the path.
Edit edit (after really seeing post #4):
It seems that the centre should be at the centre of the tick marks so yous hould add a little less on top.
You may just add a nofill/nostroke rectangle that is centred where you want the line (the centre of the tick marks seemingly) and is high enough to extend at least down to the bottom of the logo. This will centre the logo/brush correctly on the path.
Thanks guys, really appreciated, I would never have been able to do it.
For my part you are welcome, PF.
A pleasant challenge.
No thanks, really appreciate it Jacob and Mike; very kind of you chaps.
This is a very friendly forum, PF.