The distance between two polar opposite vertices of the unit tesseract equals sqrt(4) = 2, by Pythagoras. The distance between opposite vertices of the proposed projection equals 2 sqrt(2), ditto. Since latter exceeds former, the projection is impossible. WFL On 7/22/11, David Wilson <davidwwilson@comcast.net> wrote:
Can a regular tessertact can be oriented in R^4 so that the orthogonal projection of its 1D edges onto a 2D plane have the shape of a 2 x 2 grid?
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