Grasshopper

algorithmic modeling for Rhino

Creating a circle with 2 circles and a defined radius

Hello Forums.

I'm trying to make sense of the following problem:

I have two circles with the same radius (yellow) and want to create a circle touching both of the other circles and having a defined radius (differing from the other circles). Hopefully this can be easily accomplished, but I didn't find a solution yet - only this discussion.

This is, what it should look like:

Since I didn't solve the problem yet and think that I won't be able to cope with it with my feeble math skills I ask you, to help me with it. I attached my try.

Thanks a priori.

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Permalink Reply by WT4 on August 10, 2011 at 11:03pm

Assuming that the centres of the two circles are aligned horizontally, then the centre of the third circle can be found using pythagoras theorem as shown in the attached image.  If the centres of the two circles are NOT aligned horizontally, then you need to do a rotational transformation first.  Hope this helps.  Regards

Permalink Reply by Caglar on August 11, 2011 at 12:47am

I have another approach:

 

Attachments:
Permalink Reply by Julius on August 11, 2011 at 5:54am
Thanks, you two! I could replicate both ansatzes and they both work perfectly well.
Permalink Reply by Caglar on August 11, 2011 at 6:13am

Hi Julius,

With this script you can make better Mickey Mouse heads :)

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Permalink Reply by Julius on August 11, 2011 at 6:15am
Hehehe... Thanks! I'll use it in my next Disney project.

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