The fractal known as the SierpiÅski triangle begins as an equilateral triangle with side length 1 unit

Question:

The fractal known as the Sierpiński triangle begins as an equilateral triangle with side length 1 unit and area square units. The fractal is created recursively by replacing the triangle with three smaller congruent equilateral triangles such that each smaller triangle shares a vertex with the larger triangle. This removes the area from the middle of the original triangle.
The fractal known as the Sierpiński triangle begins as an

In the long run, what happens to?
a. The perimeter of each of the smaller triangles?
b. The area of each of the smaller triangles?
c. The sum of the perimeters of the smaller triangles?
d. The sum of the areas of the smaller triangles?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Discovering Advanced Algebra An Investigative Approach

ISBN: 978-1559539845

1st edition

Authors: Jerald Murdock, Ellen Kamischke, Eric Kamischke

Question Posted: