What is Fractional Dimension and What is a Fractal? (TANTON Mathematics) @DrJamesTanton

Uploaded November 2010 | Updated September 2026, 3 weeks ago

Take a picture to a photocopier and set it to scale by a factor of three. Then all lengths in the picture triple in size (factor of three to the one-th power) and all areas increase by a factor of nine (three to the two-th power). But there are objects that scale by fractional powers!

$What is Fractional Dimension and What is a Fractal? (TANTON Mathematics) Take a picture to a photocopier and set it to scale by a factor of three. Then all lengths in the picture triple in size (factor of three to the one-th power) and all areas increase by a factor of nine (three to the two-th power). But there are objects that scale by fractional powers!$

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