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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.

File: nomorecircles/connected/n5_nonr_number1_intersecting.mod2s6 (250 bytes)


File: nomorecircles/connected/n5_nonr_number2.mod2s6 (202 bytes)


File: nomorecircles/connected/n5_nonr_number3.mod2s6 (226 bytes)


File: nomorecircles/connected/n5_nonr_number4.mod2s6 (226 bytes)


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


File: nomorecircles/intersecting/digonfree/n6_nonr_number1_8triangles.mod2s6 (416 bytes)


File: nomorecircles/intersecting/digonfree/n6_nonr_number2.mod2s6 (416 bytes)


File: nomorecircles/intersecting/digonfree/n6_nonr_number3.mod2s6 (416 bytes)


Additional intersecting arrangements for $n=6$


File: nomorecircles/intersecting/additional/n6_edelsbrunner_nonr.txt.mod2s6 (416 bytes)


File: nomorecircles/intersecting/additional/n6_sym6_2.mod2s6 (416 bytes)


File: nomorecircles/intersecting/additional/n6_sym6_3.mod2s6 (416 bytes)

Additional digonfree connected arrangements for $n=6$


File: nomorecircles/connected/additional/n6_connected_digonfree_sym4_1.mod2s6 (362 bytes)


File: nomorecircles/connected/additional/n6_connected_digonfree_sym4_2.mod2s6 (389 bytes)


File: nomorecircles/connected/additional/n6_connected_digonfree_sym8_1.mod2s6 (362 bytes)


File: nomorecircles/connected/additional/n6_connected_digonfree_sym8_2.mod2s6 (389 bytes)


File: nomorecircles/connected/additional/n6_connected_digonfree_sym24.mod2s6 (298 bytes)

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Last update: November 22 2017 02:16:49. (c) 2017 Stefan Felsner and Manfred Scheucher