Tiling uniformly but randomly different scales of a module on a surface that its area is equal to the total surface area of the modules

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Permalink Reply by Vongsawat Wongkijjalerd on October 2, 2017 at 10:28pm

surface area equating does not mean you can tile them to fit..
and thats assuming those squares are multiples of each other (ie. 1x1 2x2 3x3)
either way, an attached gh would go a long way in preemptively answering those questions.

Permalink Reply by Ruby Muhandes on October 3, 2017 at 12:02am

I attached the files. 

I started by creating a surface that has a total surface area of the total surface areas of the squares (they are not necessary squares, maybe rectangles). and now I'm trying to tile them randomly but uniformly on the surface.  

The end result that I want is I have different modules in different sizes and I want to tile them on a surface randomly but uniformly. 

Thanks for your reply :)

hope you have a solution for my issue.  

Attachments:

• Rhino 1.3dm, 173 KB
• GH 1.gh, 57 KB

Permalink Reply by Vongsawat Wongkijjalerd on October 3, 2017 at 2:50am

Hope this helps illustrate my point.

A quick study of all (edit: but two of) the possible vertical tiling patterns, sorted largest square on top, that you can fit within the vertical space of your rectangle. Note how nothing fits (except for that one part). Note how this will also happens on the horizontal length as well.

tl;dr Equal surface area does not mean you can fit them. You need to come up with a tiling logic beforehand. If they all fit on a grid, even beter. Or you'll have to come up with a more complex system if you want irregular rectangles as you seem to want?

Permalink Reply by Ruby Muhandes on October 3, 2017 at 6:30am

yeah, you are right, I should start to think about it in a different way. Thank you for your replies. 

Permalink Reply by Laurent DELRIEU on October 3, 2017 at 8:57am

Did you look to that ?

http://www.grasshopper3d.com/forum/topics/rectangle-false-packing-s...