The sphereflake shown below is a computer-generated fractal that was created by Eric Haines. The radius of the large sphere is 1. To the large sphere, nine spheres of radius 1/3 are attached. To each of these, nine spheres of radius 1/9 are attached. This process is continued infinitely. Prove that the sphereflake has an infinite surface area.
The sphereflake shown below is a computer-generated fractal that was created by Eric Haines. The radius of the large sphere is 1. To the large sphere, nine spheres of radius 1/3 are attached. To each of these, nine spheres of radius 1/9 are attached. This process is continued infinitely. Prove that the sphereflake has an infinite surface area.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 63RE
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The sphereflake shown below is a computer-generated fractal that was created by Eric Haines. The radius of the large sphere is 1. To the large sphere, nine spheres of radius 1/3 are attached. To each of these, nine spheres of radius 1/9 are attached. This process is continued infinitely. Prove that the sphereflake has an infinite surface area.
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