See also
18-Point Problem,
Ball Line Picking,
Ball Triangle Picking,
Cube Line Picking,
Cube
Point Picking,
Cube Tetrahedron Picking,
Cube Triangle Picking,
Cylinder
Point Picking,
Discrepancy Theorem,
Disk Line Picking,
Disk
Point Picking,
Disk Triangle Picking,
Happy End Problem,
Line
Line Picking,
Line Point Picking,
Line
Segment Picking,
Planar Distance,
Simplex
Simplex Picking,
Sphere Line Picking,
Sphere Point Picking,
Sphere
Tetrahedron Picking,
Sylvester's
Four-Point Problem,
Tetrahedron Picking,
Triangle Picking,
Triangle
Point Picking,
Uniform Sampling
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References
Pfiefer, R. E. "The Historical Development of J. J. Sylvester's Four Point Problem." Math. Mag. 62,
309-317, 1989.Referenced on Wolfram|Alpha
Point Picking
Cite this as:
Weisstein, Eric W. "Point Picking." From
MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/PointPicking.html
Subject classifications
be a convex
set in the plane that is also a closed
set and a bounded set, with positive area.
If 
denotes the mean area of a triangle whose vertices
are chosen independently by uniform sampling
from 
,
divided by the area of 
, then 
for any nonsingular affine
transformation 
of the plane.
