2012/09/21 by Djordje Baralić, Djordje Baralic, Baralic, Djordje +3 · 1 citation
Computer Science · Mathematics · #14N20 #51N35 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #History and Theory of Mathematics #Mathematics and Applications #Polynomial and algebraic computation #math.AG #math.CO #msc:14N20 #msc:51N35
paper · pdf · doi:10.48550/arxiv.1209.4795
openalex publication_date 2012/09/21 · arxiv created 2012/11/11 · arxiv updated 2012/11/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove general results which include classical facts about 60 Pascal's lines as special cases. Along similar lines we establish analogous results about configurations of 2520 conics arising from Mystic Octagon. We offer a more combinatorial outlook on these results and their dual statements. Bezout's theorem is the main tool, however its application is guided by the empirical evidence and computer experiments with program Cinderella. We also emphasize a connection with k-nets of algebraic curves.