Fractal Dimension

What is dimension? How do we assign dimension to an object?

When you see:

a train moving along railroad tracks,





a boat sailing on a lake,




a plane in the sky,






In what dimension does each move?

Let's try a more difficult example

Take an unused piece of aluminum foil:


What is it's dimension?

Now, crumple it up into a ball:



What is the dimension of the ball of foil?


When you carefully reopen the ball of foil, what dimension has it become?



Compare a drawing with a sculpture and a bas relief sculpture.

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