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I am trying to build this shape. what is the more efficient way to make these blue rounded polygons? I would like to create rectangles with convex edges and so rounded corners.

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I suggest you this: if the exact shape is important, trace the bitmap to svg, then import the svg and import it to Blender, convert to mesh, clean the mesh... done! Here it goes:

Open Inkscape, paste the png and trace it like this:

enter image description here

you need to clean the traced paths, delete whatever is not your desired shapes...

then delete the bitmap, save the svg and import it in Blender: scale the imported curve enough (I did 50x), and put "geometry to the center" using the toolbox function (left panel).

enter image description here

then, convert curve to mesh, and change material color if you wish:

enter image description here

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Then, convert all mesh triangles (many) to simple ngons, using limited dissolve:

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there you are! Of course you have many vertices...

enter image description here

Of course you could also just keep the vector/curves....

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  • $\begingroup$ I was also wondering how to simply build a rectangle with convex edges . I tried to bevel the edges but doesn't work (CTRL+B). $\endgroup$
    – Grobby
    Nov 7, 2016 at 12:47
  • $\begingroup$ to do that, you could use subdiv modifier or bevel on a (at least slightly) subdivided plane... $\endgroup$
    – m.ardito
    Nov 7, 2016 at 12:52
  • $\begingroup$ eg: see this answer: blender.stackexchange.com/a/63815/919 $\endgroup$
    – m.ardito
    Nov 7, 2016 at 13:06

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