New answers tagged graph
I would try using an N-ary tree structure. The bubbles stack up in a skewed formation. If you take a bubble and surround it with other bubble, you will only get 6 possible connections: top left, top right, left, right, bottom left, and bottom right. Contrast this with a 2d grid and you get 8 possible connections: top left, top center, top right, left, right, ...
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