Find the dimension of the object and state whether or not it is a fractal.
-In measuring the length of the object, when you reduce the length of your ruler by a factor of 3 the number of length elements increases by a factor of 3.
A)The dimension is 3 and the object is ordinary (non-fractal).
B)The dimension is 2 and the object is ordinary (non-fractal).
C)The dimension is 3 and the object is a fractal.
D)The dimension is 1 and the object is ordinary (non-fractal).

Question

Quizplus · Accepted Answer

The dimension is 1 because the number of length elements increases proportionally to the reduction in the ruler's length, indicating a linear relationship, which is characteristic of a one-dimensional object. Since the scaling behavior is linear and not indicative of complexity at different scales, the object is not a fractal.

Find the Dimension of the Object and State Whether or Not