Here is the plan I decided on:
After translating this plan to Processing, I decided that the entire circle in the left hand corner detracted from the pattern and gave it a feeling of chaos which I wanted to avoid. Instead, I added another ellipse centered at the corner of the page. I prefer the simplicity of the three broken up ellipses and yet I think the initial inspiration is still apparent. The final pattern is below.
Here is the link to the code in OpenProcessing:
http://www.openprocessing.org/visuals/?visualID=22642



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