Complexity Explorer Santa Few Institute

Fractals and Scaling (2021)

Lead instructor:

This course is no longer in session.

1.3 Some Properties and Features of Fractals » Quiz 1

Quiz scores are NOT recorded.

  • You may come back to quizzes and take them as many times as you like
  • When you are finished, clicking the "Score" button at the bottom of the test will show you the correct responses.

Instructions

These problems concern the Sierpiński triangle. The steps in the construction of the Sierpiński triangle are shown below.  At step zero, the shape is an equilateral triangle with sides of length 1.  We will denote the area at step zero by A.  (The value of A is (1/4)\sqrt{3} \approx 0.43, but this value is not needed to answer the questions below.)