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Formula for E dimensional elements of an n dimensional perfect figure
Posted:
Dec 7, 2010 10:04 PM



Ok, in my math research class, I've been working on a formula for elements on higher dimensional figures. The formula attached is what I have so far, its almost perfect but at least 1 thing is wrong, any ideas?
Formula info elements are vertices, edges, faces... each of those has a dimensional value, vertices=0, edges=1,faces=2 E is this number
n is the dimension of the perfect figure, by the perfect figure i mean square, cube, hypercube. square being 2, cube  3, hypercube  4
How to solve formula: Let E be the dimension of the element let n be the dimension of the figure solve the multiplication notation in terms of x solve the summation notation no variables multiply the answer by the 2^nE that should give you the answer
i think my problem is the tops of the summation notation and the multiplication notation, any ideas what they should be?
questions? leave below and i will answer tomorrow.



