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Golden Rectangle Template – 3D-Druckmodell von MakerWorld MakerWorld
Mathematics

Golden Rectangle Template

von Ben · Mathematics
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This template helps you draw one of math's greatest phenomena, the golden rectangle.Boost MeIf you like math, drop a boost! It really helps The golden rectangle is a continuous, never-ending figure with sides in the ratio of Φ = [1+sqrt(5)]/2 =1.618… Relevant information:The golden ratio allows the golden rectangle to be repeated within itself. How?: First, suppose we have a line segment, a, of unit length one. Now, add an additional smaller line segment to a. We will call it b. We want the ratio of a to b to be equal to the ratio of (a+b) to a. We need to find b. It is derived below: Now that we have derived Φ, suppose there is a square with side lengths of 1. Extending the length of this square by 0.618… creates a new figure. If we look at the inside rectangle of this figure, we see that when we multiple each side by Φ, we get back to the golden rectangle. This means that this smaller rectangle IS the golden rectangle as well! We can repeat this infinitely many times, creating sm
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