Packing Circles on Surface

I have been research about packing circles, however I still can not design an implementing approach to apply on a surface. Any ideias where to begin ?! Thanks in advance.

Replies to This Discussion

Permalink Reply by Daniel Piker on August 20, 2013 at 8:55am

Hi Joaquim,

equal radii or varying ?

compact(3 circles around each gap) or not ?

an approximate packing with some gap tolerance, or exact tangency ?

There are many different options, so it would help if you clarify what the motivation is.

Permalink Reply by Joaquim Filipe Reis on August 20, 2013 at 9:15am

Hi Daniel

Thanks for your reply,

Actually i'm follow some approaches developed in Kangaroo. However i can´t find exactly what i'm looking for. I´m trying to obtain packing circles with exact tangency but in a way that we can control the radius of the circles [ maybe by attraction, finding the closest point on some geometry]. but not in all of surface. In a few months ago I design an approach about gaussian curvature values in a suface, and well the result that i´m looking for is in some way like this, with packing circles just interfering in a determined region.https://vimeo.com/65010809

Thanks in Advance.

Permalink Reply by Daniel Piker on August 20, 2013 at 12:57pm

Ok, the next version of Kangaroo has a function for circle packing with radii given by an interpolated field !

Permalink Reply by Daniel Piker on August 20, 2013 at 1:14pm

This also prompted me to look into Shepard weighting for the interpolation.

Seems like it could come in handy for other things.

It's interesting to see the effect of varying powers. Here's an example showing interpolated values using from left to right P = 2 , 4 , 7 and 20

Permalink Reply by Joaquim Filipe Reis on August 20, 2013 at 1:28pm

Fantastic Daniel, it´s really interesting to see how maths can influence and support the work that you have been developed. I'm looking forward to explore the next version of Kangaroo.

Really good work !

Permalink Reply by RWNB on August 22, 2013 at 5:34am

the future seems to be interesting, but perhaps something for the contemporary?

http://www.grasshopper3d.com/forum/topics/help-attaching-random-cir...

Permalink Reply by navid on February 22, 2016 at 7:29am

Hi Daniel,

Would you please share some example for "circle packing with radii given by an interpolated field !" its really appreciated.

Regards,

Navid

Permalink Reply by David Hislop on March 22, 2015 at 5:22pm

Hi Daniel,

Is there any more information on how this is achieved?? I have been using a range of circle packing scripts with grasshopper/kangaroo for a while now but am looking specifically at circle packing with radii given by an interpolated field as per your image above.