# Quick Tutorial: Radial Repeat

Below are the steps for figuring out the width and rotation of an even, radially repeating design.

*Note**: this can be done cheaply and might look right to do it by “eye” but I wanted to figure it out because I’m a perfectionist.*

## Step 1:

Draw a perfect circle. Choose a whole number for it’s diameter, e.g. 27 pt. Calculate the circumference of the circle. The circumference is the diameter times pi (d * PI). Note this number. (e.g. 27 * PI = 84.823)

## Step 2:

Draw the shape that you want to tile radially, for example, the shape shown below:

Place this shape so that the part that you want to connect is even with the circle from step one, like this:

The red dotted line segment shows the length that we are concerned with for this step. Take the circumference of the circle from step 1, and divide it be an integer. This integer could be any whole number, and it is equal to the number of times you want to tile the shape. For instance, in this example we’ll use 34 as our integer, so 84.823 / 34 = 2.495, so we want to make the length indicated by the red dotted line segment to equal 2.495.

## Step 3:

Now we need to find the rotation for each repetition. Basically, this is just 360º divided by the integer from the last step. So in our example, we’ll use 360º / 34 = 10.588º.

## Step 4:

Copy the shape from step 2, rotate it 180º, and place them so that the red-dotted line segment lines up with opposite sides of the circle and justify everything center. Select both of them and copy paste and rotate the number from step 3 (10.588º), then copy, paste in place, repeat (cmmd-C, cmmd-F, cmmd-D) for half of the number of times in step 2. (e.g. 34 / 2 = 17)

**Have fun!**

Reggie Gilbert creates illustrations and designs for apparel, graphics for the action sports industry, logos, web sites, brand identities, packaging, technical illustrations, print design, as well as store displays and installations.

Awesome tut. Simple yet very effective. :) Thanks.

instead of all the cmd c/v d, couldn’t you just opt+click the rotation point using the rotate tool, type in the calculation you did above (10.588º) in the dialouge box and hit copy in the menu. Once duplicated, then just repeat (cmd+d) the rest of the way?

Any chance you can do a full tutorial in illustrator for this Radial Repeat. It would be awesome if it was a screencast.

Anyways… thank you for the tip!

Nice example

oh that is cool…I will have to try this out!!!

this worked wonderfully thank you

Hey !!,there..good afternoon..I have read your blog post..It was absolutely a good tutorial, in the sense that it was so creative..Thanks a lot!!

You can also get the circumference of the circle by opening the Document Info window and selecting Objects from the panel’s option menu (if you can’t be bothered with the maths)

I also second carl’s point about the option click, copy and dupe, dupe, dupe. Make’s things a lot simpler!