In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far. A plane is the two-dimensional analogue of a point (zero dimensions), a line (one dimension) and three-dimensional space.

Does a plane have any dimensions?

The plane has two dimensions: length and width. But since the plane is infinitely large, the length and width cannot be measured. Just as a line is defined by two points, a plane is defined by three points.

Is there a 0 dimensional shape?

Zero Dimensions: A point has zero dimensions. There's no length, height, width, or volume. Its only property is its location. You could have a collection of points, such as the endpoints of a line or the corners of a square, but it would still be a zero-dimensional object.