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Chapter 10: Problem 35

What is self-similarity? Describe an object in nature that has this characteristic.

Short Answer

Expert verified
Self-similarity refers to the property of an object being exactly or approximately similar to a part of itself. It means the whole can be reconstructed from a part. An example of a self-similar object in nature is the Romanesco broccoli. Each of its buds is composed of smaller buds, all arranged in logarithmic spirals, displaying this property.

Step by step solution

01

Understanding the term

Self-similarity is a characteristic identified in an object, which means that the object is exactly or approximately similar to a part of itself. In other words, the whole object can be reconstructed from a smaller part of it.
02

Finding a real-life example

An example of an object in nature that exhibits self-similarity is a fractal. A fractal is a natural phenomenon or a mathematical set that exhibits repeating patterns that display at every scale. It is also known as expanding symmetry or evolving symmetry.
03

Detailing the example

The Romanesco broccoli is a notable example of a naturally occurring fractal. Each bud is composed of a series of smaller buds, all arranged in yet another logarithmic spiral. This self-similarity continues at several smaller scales.

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