query: $5$ points on a sphere
positive_passages.docid: 157433
positive_passages.text: if there are 5 points on a sphere then 4 of them belong to a half-sphere.
negative_passages.docid: 44070
negative_passages.text: Recurrence  for number of regions formed by diagonals of a convex polygon.
negative_passages.docid: 66185
negative_passages.text: condition for curve on a sphere
negative_passages.docid: 112575
negative_passages.text: Finding integer solutions of $m^2-n^5 = m - n$
negative_passages.docid: 61572
negative_passages.text: Evenly distributing n points on a sphere
negative_passages.docid: 142103
negative_passages.text: find all self-complementary graphs on five vertices
negative_passages.docid: 37219
negative_passages.text: Quadratic Integers in $\mathbb Q[\sqrt{-5}]$
negative_passages.docid: 147429
negative_passages.text: Set of points in $\mathbb{C}$ s.t. $z^{n-1} = \overline z$
negative_passages.docid: 154454
negative_passages.text: Why are $L_4$ and $L_5$ lagrangian points stable?
negative_passages.docid: 87833
negative_passages.text: Volumes of n-balls: what is so special about n=5?
negative_passages.docid: 23596
negative_passages.text: Proof maximum number of equidistant points for a given dimension
negative_passages.docid: 79091
negative_passages.text: Please guide me to draw this : graph of $x \geq 5$ and $y \geq 5$
negative_passages.docid: 13923
negative_passages.text: How do I plot points on a sphere using spherical coordinates?
negative_passages.docid: 151471
negative_passages.text: Equation of a sphere as the determinant of its variables and sampled points
negative_passages.docid: 94051
negative_passages.text: How to show that all points are inside of unit circle?
negative_passages.docid: 60495
negative_passages.text: How to generate uniformly distributed points on the surface of the 3-d unit sphere?
negative_passages.docid: 58508
negative_passages.text: Number of ways to pair off $2n$ points such that no chords intersect