I am sure this is a simple few steps, but I want to make sure I do it right. If you look at the image link at the bottom, you will see a bunch of black lines with a green square in the middle. The green square is suppose to represent a "town square" and the black lines represent roads. I want the roads to appear or "grow out" from the middle green square, independently from one another and at different times, so some grow quick, some grow fast, etc.
Can anyone point me in the right direction for how to achieve this effect? The attached image is sort of a logo, and already created by a graphic designer.