From the article you linked: >Ultimately, the term fractal dimension became the phrase with which Mandelbrot himself became most comfortable with respect to en

From the article you linked: >Ultimately, the term fractal dimension became the phrase with which Mandelbrot himself became most comfortable with respect to encapsulating the meaning of the word fractal, a term he created. After several iterations over years, Mandelbrot settled on this use of the language: "...to use fractal without a pedantic definition, to use fractal dimension as a generic term applicable to all the variants."