Zero dimension is a property of the mathematical concept of an ideal point in space. It has no dimensions of distance - length, breadth or height, nor of any of the other fundamental measures such as mass, time etc.
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A zero-dimensional object cannot move along any dimension, so it (and everything else in this dimension) appears as one incredibly tiny speck. A point is zero-dimensional. A one-dimensional object is a step up from a zero-dimensional one, since objects can move in only in one direction, and objects appear along an impossibly narrow line. These include the line, ray, and segment.
It all depends what you mean by dimensions - for example in geometry a point is said to have zero dimension a figure having length, such as a line has one dimension a plane or surface has two dimensions a figure having volume has three dimensions the fourth dimension is said to be time any other dimension can not be represented visually but may be dealt with mathematically
A one-dimensional shape is a line. A straight line does not have to have a width, only a length. A curved line has both a linear dimension and an angular width (subtended arc).*A point is said to have zero of three classical dimensions, while it does have a dimension of time.
(n^2-n)/2-1