Benoit Mandelbrot coined the term **fractal** to describe a shape made of parts similar to the whole in some way. That is, a **fractal** contains unlimited copies of itself. Fractals offer shapes which more closely approximate natural shapes such as clouds, coastlines, trees, ferns and so on. Many natural shapes are fractals because they look the same regardless of how far you zoom in on them. For example a line that approximates a mile of coastline from an aerial view will look pretty much like one that approximates a foot of the coastline as viewed on earth. A boulder looks a lot like a rock, which looks a lot like a pebble, which looks a lot like a grain of sand, depending on your view. [D'Antonio, Peter; Fractals and Number Theory are Changing the Shape of Acoustics; Sound & Vibration magazine, October, 1992, pg. 27]

**Keely's Fractal Structure of Matter**

See Also

**Fibonacci Relationships**
**Fibonacci Series**
**Figure 1.3.1 - Subdivisions of Matter and Energy according to Keely**
**Overtone**
**Subdivision**
**1.5 - Fractal Structure of Matter**
**3.04 - Power Accumulation via Fibonacci-like Patterns**
**12.19 - Fibonacci Relationships**
**12.21 - Fibonacci Whole Numbers v Irrational Decimal near Equivalents**
**15.15 - Progressive Dissociation**
**15.15.05 - Progressive Association**