"The third is an alternate network, and more closely models real-world social structures."
The thrid type is one in which networks run orthogonal to each other. This can be visualised like a sponge - nodes connected in three dimensions, usually to neighbors but not always. Social networks work on this principle - people may work together, be members of the same religious community, bu tlive in different parts of a town. People share some interests, but not all interests. If one network of relationships is stressed, people will seek support from other, orthogonal networks. These relationships are the hardest to create in built space, as they rely on shifting, multidimensional arrangements between nodes. They can be easily created online, but since online communities have modeled themselves after real-world spaces (so far), no true free-form multiaxis networks have appeared.
Yet.
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