A dimension is a measurement of space. In a three-dimensional world, we usually think of three different directions as we measure the space in which we exist—length, width, and height. To indicate a certain location in space, we would provide...

One of the most misunderstood concepts in mathematics, dimension is a central concept in modern geometry, topology, algebra, and the theory of fractals. To make matters even more complicated, each of these branches of mathematics has its own version of...

Usually, when mathematicians compare the size of two-dimensional objects, they compare their areas. For example, how many times larger is a larger square than a smaller one? One way to answer this question is to determine the lengths of the sides of...

In common usage, a dimension (Latin, "measured out") is a parameter or measurement used to describe some relevant characteristic of an object. The most commonly used dimensions are the parameters describing the size of an object: length, width, and...