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I am trying to create a hexagon representation of assets that is similar to, but not the same as a hexbin map. Unlike the techniques I can easily find, I do not wish to bin the assets together but rather arrange each asset as an individual hexagon tile. I would like to find an arrangement of the tiles that is closest to the geographical arrangement, but spreading the tiles out so there is no overlap. For example if I have this, I'd like it to turn into something like this: enter image description here

What is the correct term for this technique, and does anyone have any suggestions on how best to do this?

EnemyBagJones
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    What means _closest to the geographical arrangement_? How is the distance defined? For example, why is tile 5 not below tile 3 and adjacent to tile 4? – Reinhard Männer Jan 08 '20 at 12:05

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