Basic Examples (1) 

Schmidt arrangement for the Gaussian integers:

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Scope (10) 

Schmidt arrangement for the Gaussian integers with a specific color palette:

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Use the same color palette but restrict its length:

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Use a standard ColorData function and plot disks rather than circles with transparency "Decreasing":

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A radial gradient can be specified using the special palettes provided:

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It is possible to limit the drawing by setting "Filter" to a Rectangle:

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Graphics options are supported. Here is an example with the use of a background color:

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Use the quadratic field generated by . The region of the plane is a bit bigger, so this example takes more time to compute:

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"XMax" and "YMax" limit the region of the plane used to look for new circles (as opposed to the "Filter" option which limits the drawing):

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When the computation takes a long time, it is a good idea to first compute the circles (slow operation) and then style and display the result (quick operation). The option "Precompute" is used for this. Note that "MinCurvature" and "MaxCurvature" can have different values when precomputing versus displaying the circles:

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This example takes a long time because the "MaxCurvature" is very high. Using precomputation allows us to store the results and restyle the diagram quickly:

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Different stylings with the same precomputed arrangement:

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We can also overlay two different styles to create more artistic combinations:

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Use the quadratic field generated by :

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Use the same quadratic field but with a bigger "MaxCurvature" and using "Precomputation":

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This last picture was found by playing with manipulate and testing different color palettes. Use a small value of "MaxCurvature" when exploring and a bigger one when rendering (menu nb in the manipulate UI):

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