An Apollonian Gasket Variant

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elendiastarman
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Joined: Sat Dec 22, 2007 8:15 pm

An Apollonian Gasket Variant

Post by elendiastarman »

Yet another problem involving circles... :P (AutoDesk is so awesome!)

Image
The only differences between this version and the original is that instead of 3 circles, it is an equilateral triangle and all circles are on the outside.

What is the total area of the resulting circles after 7 steps? (The image shows the 4th step.)
Want some
3.14159265358979323846264338327950288419716939937510
58209749445923078164062862089986280348253421170679...?
Image

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