Graph View Modes
There are multiple possible perspectives here:
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Map View – Fixed view, like a constellation in the sky. This creates a sense of familiarity because the “skymarks” have a fixed possition.
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Random View – This is useful because every time you open the graph you see different juxtapositions, hence possible connections you can make between nodes.
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Node-Centered View – You could designate a node as the center of the graph, so all other nodes would be displayed in relation to it. There would be two structures, one within the other: nodes connected with the central node (directly or indirectly) form the inner structure; nodes not connected with the inner node form the outer structure.
All of them could be useful / fun to use. And there could be others I haven’t thought of.