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This page provides For details, please see Arrangements of Pseudocircles: Triangles and Drawings.

Digonfree arrangement minimizing the number of triangles


File: triangles/digonfree_minimal_triangles/all3_df_8_triangles.txt (193 bytes)


File: triangles/digonfree_minimal_triangles/all4_df_8_triangles.txt (822 bytes)


File: triangles/digonfree_minimal_triangles/all5_df_8_triangles.txt (717 bytes)


File: triangles/digonfree_minimal_triangles/all6_df_8_triangles.txt (1.08 KB)


File: triangles/digonfree_minimal_triangles/all7_df_10_triangles.txt (6.09 KB)


File: triangles/digonfree_minimal_triangles/all8_df_11_triangles.txt (6.29 KB)


File: triangles/digonfree_minimal_triangles/all9_df_12_triangles.txt (10.92 KB)


File: triangles/digonfree_minimal_triangles/some10_df_14_triangles.txt (1.07 MB)


File: triangles/digonfree_minimal_triangles/some11_df_15_triangles.txt (4.36 KB)


File: triangles/digonfree_minimal_triangles/some12_df_16_triangles.txt (10.76 KB)

File: triangles/digonfree_minimal_triangles/some13_df_18_triangles.txt (149.31 KB)

File: triangles/digonfree_minimal_triangles/some14_df_19_triangles.txt (7.63 KB)

Digonfree arrangement maximizing the number of triangles


File: triangles/digonfree_maximal_triangles/all5_df_12_triangles.enc (271 bytes)


File: triangles/digonfree_maximal_triangles/all5_digon_13_triangles.enc (45 bytes)


File: triangles/digonfree_maximal_triangles/all6_df_20_triangles.enc (258 bytes)


File: triangles/digonfree_maximal_triangles/all7_df_28_triangles.enc (1.98 KB)


File: triangles/digonfree_maximal_triangles/all7_df_29_triangles.enc (317 bytes)


File: triangles/digonfree_maximal_triangles/some8_df_37_triangles.enc (985 bytes)


File: triangles/digonfree_maximal_triangles/some9_df_48_triangles.enc (200 bytes)

Fueredi Palasti Construction

This family of circularizable arrangements with $\lim_{n \to \infty} p_3/n^2 = 2/3$.

File: triangles/fueredi_palasti_construction/fueredi_palasti_6.enc (66 bytes)


File: triangles/fueredi_palasti_construction/fueredi_palasti_12.enc (423 bytes)


File: triangles/fueredi_palasti_construction/fueredi_palasti_18.enc (1.04 KB)


File: triangles/fueredi_palasti_construction/fueredi_palasti_24.enc (2.07 KB)


File: triangles/fueredi_palasti_construction/fueredi_palasti_30.enc (3.25 KB)

File: triangles/fueredi_palasti_construction/fueredi_palasti_36.enc (5.11 KB)

File: triangles/fueredi_palasti_construction/fueredi_palasti_42.enc (6.98 KB)

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Last update: November 15 2017 21:45:28. (c) 2017 Stefan Felsner and Manfred Scheucher