If two objects are similar, then every measurement of length on the larger object is k times the corresponding measurement of length on the smaller object. This number k is called the __________________.

If one measures a fractal using rulers of various lengths, and then uses the results to compute a dimension, this is called the _________ dimension.

Sometimesone can build a larger version of a fractal by putting together a number of copies of a smaller version. One can then write an equation that relates the scaling factor and the number of copies. The exponent in this equation is called the ________ dimension.