For the last week or so I’ve been working on trying to define the formula for energy transfers in the two-dimensional model. Haven’t quite got to the bottom of it yet, but it looks as if each bubble is created with an energy that depends on the area of the triangle defined by its three parents. (Some bubbles have 4 parents, which define two adjacent triangles. For these cases, use the sum of the 2 areas.) I think the energy is equal to half the area, though it could perhaps be 1/3 or even 100%. The energy is “inherited” from the parents but it doesn’t seem to be a straight 1/3:1/3:1/3 split. I got myself tied up in knots (mentally and abdominally) trying to figure this out, and I have some other business to take care of, so I’m giving it a rest until next week. However, it’s worth mentioning that the 1-dimensional Fareyland model is embedded in the two dimensional model, which should help me figure this out.
Energy transfers in the 2-dimensional model–an update
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