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

[Jdonovanford]

What does "factor of three to the one-th power" mean?

[DrJamesTanton]

Actually, a factor of a half won't change matters. Area scales - no matter what specific formula it follows for a particular shape - by k^2 and that is all that is being used.

E.g. If the sides of a square are doubled, area changes by factor 4.

If the sides of a triangle are doubled, the area changes by a factor of 4.

If the radius of a circle is doubled, the area chanegs by a factor of 4.

If the sides of an irregular dodecagon are doubled, area changes by a factor of 4.

[1512dep]

with the triangles, wouldnt it affect the area because the area of a triangle if half x b x h so wouldnt the half change anything??

[dudejohnny]

We have 3 dimensional photocopiers here... :P