![]() So first, you have to find the midpoint of this bottom side of the square. Then the next step is to draw this red line here. We just called the size of unit left so we put a 1 on the sides. So I won't go into that here because our goal is really the golden rectangle. So by classical construction using a straight edge of a compass, you can construct a square. Okay, so how do we construct a golden rectangle? We start by constructing a square. But nevertheless, it's kind of a fun thing to do particularly for students secondary school students, even university students. Not so popular these days because we have computers and we can just program the computer to draw anything we want. And the idea of classical construction was also very popular during the renaissance and after. So a lot of these common figures can be drawn using classical construction. ![]() Okay, fix the radius and you can draw an arch or a circle. A compass is that device that has a point that you can draw a circle off of this point. The idea of a classical construction is to construct this figure using just a straight edge which is like a ruler without the markings and a compass. So classical constructions of these planar geometrical figures goes back to the ancient Greeks. So the length, the longest side of the rectangle, divided by the width, the shortest side of the rectangle Is equal to capital Pi one plus the square root of five over two. What's a golden rectangle? A golden rectangle is a rectangle that has sides in the ratio of the golden ratio. In this lecture, I want to show you how to do a classical construction of a golden rectangle. Whatever the case may be, it is interesting to note the presence of this ratio in so many varied forms in nature.Welcome back. Some claim that this is evidence of God’s presence and his intelligent design of the universe, whereas, at the same time, others point out that these are mere statistical manipulations. This ratio has been revered as divine, and called God’s fingerprint due to its presentation in numerous living as well as non-living entities. In addition to these examples, the divine proportions is also seen in various architectural wonders, like the Greek Parthenon, paintings like the Last Supper, in musical symphonies and instruments, and even in biblical texts (dimensions of Noah’s Ark).
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