When I wrote about my Geometry class in a previous entry, I said, "I don't know anything about projective geometry." Well, today we started projective geometry. In a nutshell, it's the geometry of perspective drawings. If lines are parallel in real life, you draw them so that they actually meet on the paper, at the "vanishing point". It is also the geometry behind photography, and one of my homework problems is:
"Show that any convex quadrilateral can be photographed in such a way that in the picture we see a parallelogram."
This sounded like it would be fun to do in real life. Here are the results:
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| The opposite sides are parallel, right? |
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| Wrong. This is the same drawing, head-on. Not quite a parallelogram. |
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