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Haskell Quiz/Geodesic Dome Faces

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Given the faces of one of the three triangle-faced platonic solids, and a number n, break each triangle side in n evenly distributed places, draw in the lines between these points that are parallel to the sides, and from each triangle thus drawn we can get a geodesic triangle by normalizing the position vectors to have distance 1 from the origin. Implement this.

1 The Problem

2 Solutions