query: How many closed polygons $n$ lines make on a plane?(not duplicate)
positive_passages.docid: 16582
positive_passages.text: Show that $n$ lines separate the plane into $\frac{n^2+n+2}{2}$ regions
negative_passages.docid: 126653
negative_passages.text: Creating collection of polygons from collection of points?
negative_passages.docid: 85104
negative_passages.text: Counting train stops using combinatorics
negative_passages.docid: 5199
negative_passages.text: Splitting lines by polygons in QGIS
negative_passages.docid: 114795
negative_passages.text: Closed form for the area of a convex cyclic n-gon, given the set of edge lengths
negative_passages.docid: 52316
negative_passages.text: Geodesics and Curves on a Plane
negative_passages.docid: 73578
negative_passages.text: Do infinitely many points in a plane with integer distances lie on a line?
negative_passages.docid: 114743
negative_passages.text: Which choice of line-breaking parameters gives the minimum number of lines
negative_passages.docid: 142144
negative_passages.text: Countable or uncountable; family of disjoint triangles?
negative_passages.docid: 101642
negative_passages.text: Counting in a rectangular grid with obstacles
negative_passages.docid: 155993
negative_passages.text: A closed path is made up of 11 line segments. Can one line, not containing a vertex of the path, intersect each of its segments?
negative_passages.docid: 10910
negative_passages.text: How many edges does an undirected tree with $n$ nodes have?
negative_passages.docid: 24477
negative_passages.text: Monochromatic squares in a colored plane
negative_passages.docid: 114048
negative_passages.text: Dividing polygons into *n* number of groups of equal counts with ArcPy?
negative_passages.docid: 140625
negative_passages.text: What is the area of a polygon with n equal length sides?
negative_passages.docid: 133392
negative_passages.text: How can I generate irregular grid containing minimum n points?
negative_passages.docid: 31340
negative_passages.text: Concurrent lines proof for a regular 18-gon