Question

a geometric or natural pattern that repeats at different scales is known as a

the term \fractal\ was coined by in 1975.

the formula

is used to generate the set.

the triangle is a fractal known for being created by
recursively subdividing a triangle.

function systems use fixed geometric replacement
rules.

Explanation:

• A geometric or natural pattern that repeats at different scales is a fractal.
• Benoit Mandelbrot coined the term "fractal" in 1975.
• The formula \(z_{n + 1}=z_{n}^{2}+c\) generates the Mandelbrot set.
• The Sierpiński triangle is created by recursively subdividing a triangle.
• Iterated Function Systems use fixed geometric replacement rules.

Answer:

1. fractal
2. Benoit Mandelbrot
3. Mandelbrot
4. Sierpiński
5. Iterated