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3D Omni KE Feats Question

Saqphire

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Hello, I was reading this page on how omni-directional KE feats would be calced and the model to demonstrate how they would look are fine and all but I was wondering:

For a 2D omnidirectional KE formula), the formula for it (1/12) shows the model in a two dimensional plane, which there would be no issues from, the pie chart logic makes sense as an estimate. But the 3D one (1/20), would functionally only translate to a 2D one being split in more pieces. Here's what I am trying to demonstrate:

This is the 2D one

images


And functionally, by only dividing the 3D one by 20 instead of 12, you'd have something like this:

images


The 3D part wouldn't actually be accounted for in the formula, you'd just split the 2D one into more pieces and call it 3D. Shouldn't the 3D part be using some notion of a 360 degree angle, like idk, dividing the 1/12th part in the 2D formula by 360 or something (like this: ((1/12)/360) x M x V^2) ? That way, you would account for not just one two dimensional plane of one twelvth or one twentieth, but rather the whole 3D plane of one twelvth of a KE feat.
 
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