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On this page, we provide all non-circularizable connected arrangements of $n=5$ pseudocircles and all non-circularizable digon-free intersecting arrangements of $n=6$ pseudocircles. In addition, we provide some non-circularizable intersecting arrangements for $n=6$ and some non-circularizable digon-free connected arrangements for $n=6$. The respective non-circularizability proofs can be found in Arrangements of Pseudocircles: Circularizability. For details on the encoding and/or the visualization, see this page.

The four non-circularizable (bi)connected arrangements of $n=5$ pseudocircles

Note that the arrangement "n5_nonr_number1_intersecting" is the unique arrangement among all intersecting arrangements of $n \le 5$ which is not circularizable.

The three non-circularizable digon-free intersecting arrangements of $n=6$ pseudocircles

Additional intersecting arrangements for $n=6$

Additional digonfree connected arrangements for $n=6$

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Last update: July 09 2022 12:31:27. (c) 2017 Stefan Felsner and Manfred Scheucher