The Wayback Machine - https://web.archive.org/web/20140324134644/http://mathworld.wolfram.com/Point.html
Geometry > Points >

Point

EXPLORE THIS TOPIC IN the MathWorld Classroom Point

A point 0-dimensional mathematical object, which can be specified in n-dimensional space using n coordinates. Although the notion of a point is intuitively rather clear, the mathematical machinery used to deal with points and point-like objects can be surprisingly slippery. This difficulty was encountered by none other than Euclid himself who, in his Elements, gave the vague definition of a point as "that which has no part."

The basic geometric structures of higher dimensional geometry--the line, plane, space, and hyperspace--are all built up of infinite numbers of points arranged in particular ways.

These facts lead to the mathematical pun, "without geometry, life is pointless."

The decimal point in a decimal expansion is voiced as "point" in the United States, e.g., 3.1415 is voiced "three point one four one five," whereas a comma is used for this purpose in continental Europe.

Wolfram Web Resources

Mathematica »

The #1 tool for creating Demonstrations and anything technical.

Wolfram|Alpha »

Explore anything with the first computational knowledge engine.

Wolfram Demonstrations Project »

Explore thousands of free applications across science, mathematics, engineering, technology, business, art, finance, social sciences, and more.

Computable Document Format »

The format that makes Demonstrations (and any information) easy to share and interact with.

STEM initiative »

Programs & resources for educators, schools & students.

Computerbasedmath.org »

Join the initiative for modernizing math education.