Question

1. which of the following is a famous example of a geometric fractal?

a. koch curve
b. cubic function
c. pythagorean triangle
d. spherical design

Explanation:

A geometric fractal is a shape that has self - similar patterns at different scales. The Koch Curve is a well - known example of a geometric fractal. It is constructed by repeatedly replacing line segments with a more complex pattern. A cubic function is a polynomial function of degree 3 (\(y = ax^{3}+bx^{2}+cx + d\)), not a fractal. A Pythagorean triangle is a right - triangle where the side lengths satisfy \(a^{2}+b^{2}=c^{2}\). A spherical design is a set of points on a sphere with certain optimality properties related to integration or interpolation, not a fractal.

Answer:

A. Koch Curve