Talk:Affine combination

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The phrase "An affine combination of fixed points of an affine transformation is also a fixed point" is somewhat ambiguous and convoluted. Could this perhaps be made clearer?

For example, it amounts to saying:


 * An X of Y of a Z is also a Y

Which could be interpreted as:


 * An (X of Ys) of a Z is also a Y
 * An X of (Ys of a Z) is also a Y

Are the fixed points the product of an affine transformation? That seems to make most grammatical sense, but still doesn't explain how an affine transformation produces fixed points, nor in what sense they are "fixed" as opposed to just "points".

87.194.154.6 (talk) 10:53, 15 February 2010 (UTC) nick

Would it make sense to describe this (informally) as a "weighted average"? Gvanrossum (talk) 18:58, 18 October 2010 (UTC)
 * This characterisation would make sense if you allow negative weights. If you are only thinking about positive weights, then a convex combination would be more along the lines of a weighted average.--129.69.21.106 (talk) 11:52, 12 July 2012 (UTC)