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twizzler

I understand that the previous slides were meant to provide geometric intuition into adding the 4th coordinate in here, but I'm having trouble conceptualizing what this "looks like" in the fourth dimension. Do we choose a "3D plane" at w = 1 and a point on it, and draw the line through that point and the origin?

Bellala

Are there other transformations that can become linear when using homogeneous coordinates?