Computer-Generated Fractal Artwork

$The sphereflake shown below is a computer-generated fractal that was created by Eric Haines. The radius of the large sphere is 1. To the large sphere, nine spheres of radius (1)/(3) are attached. To each of these, nine spheres of radius (1)/(9) are attached. This process is continued infinitely. Prove that the sphereflake has an infinite surface area. | Numerade$

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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

VIDEO ANSWER: So you note that the surface area of a sphere is 4 pi r squared. So the surface area of the first sphere with radius 1 is 4 pi times 1, with radi…

2020年2月27日

Fractal Art

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