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  • The generalization of a love triangle for n people is a n - 1 dimensional love simplex.

    • One person: Love point
    • Two people: Love line segment
    • Three people: Love triangle
    • Four people: Love tetrahedron
    • Five people: Love 5-cell (also called hypertetrahedron, pentachoron, etc.)

    Of course, more complicated shapes probably exist too

    • Love Klein bottle

    • my problem with this is that these relationships cannot be adequately modeled as complete, nor even undirected graphs. A love K_3 has no conflict that is to be resolved, thats just a throuple, how is one to make a drama out of it? Same for a love K_4 or indeed any love K_n where n∈ℕ. We need more interesting graphs for romantic storytelling, more precisely, digraphs with lots of single directional edges that can over the course of the story be worked into a collection of disjoint complete digraphs where the K_1 is only permissible if it has a loop. Preferably the selfcentered inlaws.

      • That's a good point. Perhaps an ordinary love triangle must also be presented as a directed graph, and thus all generalizations should be a directed graph which would be equivalent to the above shapes if the graph were undirected and complete.

  • CCS hitting us with the Sakura and Xiaolang both crushing on Yukito while Tomoyo crushes on Sakura before Xiaolang switches over to crushing on Sakura, which I guess isn't strictly a love square so much as a... uh... hmmm... (geometry isn't my strong suit)

23 comments