Points, lines, and planes are the basic building blocks of geometry. A point has no size, a line is made up of points and has no thickness or width, and a plane is a flat surface made up of points that extends infinitely in all directions. The document then provides an example of how points, lines, and planes are represented in a cubist-style chair designed by Garrit Rietveld. It explains how to create points, lines, and planes using an interactive geometry software. An intersection is the point or set of points where two figures meet, such as a single point where two lines intersect, a single point where a line intersects a plane, or a single line where two planes intersect.