Well, August has been an exciting month and as it draws to a close I think I finally have a handle on the two-dimensional energy transfer formula. Looks like each bubble is formed with energy equal to one-third of the area of its surrounding triangle. It inherits this energy from the three corner bubbles based upon the areas of the three subtriangles formed by joining the center bubble to the corner bubbles. Specifically, each corner bubble contributes energy equivalent to one sixth of the area of the two subtriangles that meet at that corner. Still working out the details, including what happens when a bubble is formed within a quadrangle instead of a triangle, but this looks promising. Then it will be on to the three-dimensional model, which will be based on four-dimensional bubbles (i.e., Ford hyperspheres). I think I’ll call this model “FourD Froth”.
Energy transfers – latest update
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