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Vector Tesseract

A Tesseract is a 4 dimensional cube. At each point, there are four vectors diverging at right angles from each other. Every point in a Tesseract can be composed of a set of 4 vectors moving away from the origin. In this workbook, the four vectors are shown by themselves so that you can experiment with the shape. This allows you to "rotate" the Tesseract in all four dimensions, looking at the same object from different perspectives. This is an orthographic projection, meaning that more distant objects are still the same size as objects that are close to the camera. Because every point either includes or excludes each of the four vectors from the origin (0,0,0,0), every point can be labeled as a four digit binary number which shows the path from origin (0,0,0,0) to that point.