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Barry Joseph's avatar

Love it. Thanks!

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Michael Roberts's avatar

Yes, this is a really interesting area.

I tried to make a game concept based off this sort of thing after reading an article in 2021 about Hong Kong protesters use of local connections to form peer-to-peer messaging networks and how there is a threshold/phase transition of average number of connections where complete coverage is guaranteed (like in your S curve image).

In a similar way you can tune number and colors and connections when designing tiles or cards which are intended to be built into a grid - where once all laid out they are guaranteed to al be connected - or are likely to make bigger groups. If you overlay different color's of connections though on each node, and so generate multiple linked overlaid networks with different values of average connection it gets more interesting - But I'm still not sure how it makes a good game yet :)

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