On the nearly free simplicial line arrangements with up to $27$ lines
Marek Janasz
TL;DR
This paper provides a complete classification of nearly free simplicial line arrangements with up to 27 lines, clarifying their structure and properties within this range.
Contribution
It offers the first comprehensive classification of nearly free simplicial arrangements for arrangements with up to 27 lines, filling a gap in the understanding of these geometric configurations.
Findings
Complete classification of nearly free simplicial arrangements with up to 27 lines
Identification of arrangements that are not free but nearly free
Structural insights into simplicial arrangements within the specified range
Abstract
In the present note we provide a complete classification of nearly free (and not free simultaneously) simplicial arrangements of lines.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Point processes and geometric inequalities · Mathematics and Applications