some geometry - area of a certain region

Originally posted by joe shmo
... if there is another way to get a nice tidy answer, I'm missing it.

I won't quote the whole of the two pages that are spent determining the smallest circle radius, but here are some snippets to give the flavor:

"Considering the centroid M1... Then DM1=DM2+M2M1=... Combining the results (1) and (2), we get the equation... Squaring both sides of this equation... Adding to both sides of the equation the following... Dividing both sides by r leaves us with..."

Originally posted by Paul Dirac II
I won't quote the whole of the two pages that are spent determining the smallest circle radius, but here are some snippets to give the flavor:

"Considering the centroid M1... Then DM1=DM2+M2M1=... Combining the results (1) and (2), we get the equation... Squaring both sides of this equation... Adding to both sides of the equation the following... Dividing both sides by r leaves us with..."

"Lots of work" - I'm currently unemployed, so unfortunately I have time.

As for the clean result...Well, you cant win them all.

According to the spreadsheet the next set radii is 0.034023 - 0.034022 ( if your curious)

Originally posted by joe shmo
"Lots of work" - I'm currently unemployed, so unfortunately I have time.

So sorry to hear that. Sorry for the cliché but I hope things get sorted out in your life soon enough.

Originally posted by adam warlock
So sorry to hear that. Sorry for the cliché but I hope things get sorted out in your life soon enough.

Thanks adam.

P.S. It looks as though you've angered one of the forum trolls with your human interaction aside, how dare you! (I'm sure this response will garner a thumbs down as well.)

Take Care

Neat:
http://mathworld.wolfram.com/ApollonianGasket.html