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Fractal Fascination
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Fractal Fascination

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Questions and Answers

What is the term used to describe the exhibition of similar patterns at increasingly smaller scales in fractals?

  • Symmetrical replication
  • Dimensional expansion
  • Geometric scaling
  • Self-similarity (correct)

    • In fractal geometry, what is the term for shapes that exhibit replication exactly the same at every scale?

  • Topologically identical
  • Uniform expansion
  • Homogeneous symmetry
  • Affine self-similar (correct)

    • How does doubling the edge lengths of a filled polygon affect its area in fractal geometry?

  • It quadruples
  • It multiplies by four (correct)
  • It doubles
  • It increases by the square of the edge length

    • What mathematical branch does fractal geometry lie within?

    <p>Measure theory</p> Signup and view all the answers

    What is the term for the geometric shape containing detailed structure at arbitrarily small scales in mathematics?

    <p>Fractal</p> Signup and view all the answers

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