The Sierpinski triangle is a fractal created from an equilateral triangle. At each stage, the "middle" is cut out of each remaining equilateral triangle(s). a. The first three stages are shown below. If the process continues indefinitely, how many triangles would be present in the ninth stage? b. At what stage are there 1,162,261,467 triangles? stage 1 stage 2 stage 3

The Sierpinski triangle is a fractal created from an equilateral triangle. At each stage, the "middle" is cut out of each remaining equilateral triangle(s). a. The first three stages are shown below. If the process continues indefinitely, how many triangles would be present in the ninth stage? b. At what stage are there 1,162,261,467 triangles? stage 1 stage 2 stage 3

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.1: Area And Initial Postulates

Problem 3E: Consider the information in Exercise 2, but suppose you know that the area of the region defined by...

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