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60° Trisection Goes Big!

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Magnified Details of the 60° Trisection— I found a way to trisect a 60° angle with euclidean construction simulated on a computer using GeoGebra's interactive geometry software. The software allows a user to zoom into the construction and create minute structures, which under the rules, any size is acceptable. GeoGebra's drawing board displays Cartesian coordinates, which in the following examples were defined as centimeters to provide a sense of scale. The original objective of the construction was to define length disparity from one third of the primary angle's chord to that of its arc, which also defines the angle. The construction employs a sequence of three linear thirds to reach the goal.  With the 60° primary angle having a base width and arc radius of 14 cm, the construction culminates with operations executed within a cluster of three intersections grouped smaller than a single E coli bacterium, an estimated size of 2.5 microns. If this construction were drafted...