If you'd like to create a more dynamic design, one way to do it is to crop parts of your image or graphic as opposed to keeping the whole piece. Cropping has the advantage of creating more effective functionality, it can also be utilized to create a focal point or draw attention to the eye. Below is one example. There are lots of other ways to do it to add more meaning to your design, experiment and have fun!
Without Cropping:
With Cropping: