Re: Euclid

Posted by barrs on Mar 04, 2015; 3:04pm
URL: http://friam.383.s1.nabble.com/Euclid-tp7586103p7586107.html

Hi Robert, Steve,

One way to arrive at a solution is to make a third circle with radius r2 - r1 (https://en.wikipedia.org/wiki/Tangent_lines_to_circles).  This reduces the problem to finding a tangent to a point outside of the new circle (https://en.wikipedia.org/wiki/Thales%27_theorem, bottom figure for instance). Since the tangent is invariant to this type of transformation, you can scale your solution to the original circles.  Interesting game; thanks for posting.

Best,

Shawn

On Sun, Mar 1, 2015 at 11:43 PM, Steve Smith <[hidden email]> wrote:

I am also stuck at 23, but I'm not sure it is from lack of success...
RVS and RUT "should" match the criteria (using your homothetic centers "R" hint).





I had at least one other approach which *also* failed to "pass".  I'm a little unclear on how the "snap to grid" and/or "snap to intersection" works, which *might* be bolloxing things up?

I'm wondering if *anyone* else took your bait?   I ripped through these "pretty fast" stumbling on 16 I think for a little extra time.

I have to confess I got stuck at Level 23 because, I'm claiming, I wasn't familiar with the geometry of homothetic centers.  Is there a complexity site that does the same sort of thing?  It looks like a great way to extend one's education on an otherwise relatively difficult subject.

Robert C

On 2/27/15 2:54 PM, Robert J. Cordingley wrote:

A new but possibly entertaining productivity sink? http://euclidthegame.com

Robert C

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