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Double Transforming Pentagons

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Nick Halsey

@cello

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Two pentagons are nested within a third, regular pentagon (ABCDE). They are each defined by a point on each side of ABCDE; these points are proportional along their sides at functions of t. Determine the function of t that represents the proportionality of each point. Notice that both pentagons are congruent to ABCDE when t = 0 and t = 1.

Tags: Pentagon, Proportional, Proportionality, N-gon, Puzzler
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