A few quadratic Julia set examples:
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  <div>1.</div>
  <div><img src="http://www.math.cornell.edu/~klindsey/JuliaConvexBodies/pic1.jpg" /><br /></div>
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  <div>2.</div>
  <div><img src="http://www.math.cornell.edu/~klindsey/JuliaConvexBodies/pic2.jpg" /><br /></div>
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  <div>3.</div>
  <div><img src="http://www.math.cornell.edu/~klindsey/JuliaConvexBodies/pic3.jpg" /><br /></div>
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  <div>4.</div>
  <div><img src="http://www.math.cornell.edu/~klindsey/JuliaConvexBodies/pic5.jpg" /><br /></div>
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  <div>5.</div>
  <div><img src="http://www.math.cornell.edu/~klindsey/JuliaConvexBodies/pic4.jpg" /><br /></div>
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  <div>6.</div>
  <div><img src="http://www.math.cornell.edu/~klindsey/JuliaConvexBodies/pic6.jpg" /><br /></div>
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