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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?
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?
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?
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?
What mathematical branch does fractal geometry lie within?
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What is the term for the geometric shape containing detailed structure at arbitrarily small scales in mathematics?
What is the term for the geometric shape containing detailed structure at arbitrarily small scales in mathematics?
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