Exercises for Chaos Under Control

Chapter 3: Dimensions

In Simplicity and Complexity in Classical Geometry we add to our appreciation of the compactness of fractal descriptons by starting Euclidean descriptions of fractal objects.

In A Dimension Primer we establish some basic properties of dimensions.

In The Logarithm Function we explore basic properties of the logarithm. These are used in computing dimensions.

In Some Meaning we compute and interpret dimensions of mathematical objects..

In Dimensions of Physical Objects we measure the box-counting dimension of natural and mathematical objects.

In The Importance of Being Fractal in the Real World we describe experiments in computing dimensions of rela objects, and some of the implications of these dimensions.

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