MTH 103 Finite Math with a Special Emphasis on Math & Art -- Window Taping for Linear Perspective
Instructor: Lun-Yi Tsai


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February 25th, 2010: MTH 103 students have taken over the Cox Science Center!
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Here, James instructs Kristen to tape a line he sees in the real world.
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Alex tells Javier where to start the next line as Can relaxes after having done the horizontals on top.
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Daviana is making sure that Stephanie's tape lines up.
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James directs his people.
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Alex leaves her director's position to show Javier what she means.
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These guys are getting carried away and are getting into taping trees. Next come the garbage cans!
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Prof. Keith Waddington of the Biology Department is happy to find us taping away on his windows. He admires the fine job that this group is doing.
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From this angle, those lines of tape don't seem to match up. In fact, they do--you just need to be in the right position.
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And the only correct position is the director's place--not only do you have to stand in her place, but you have to position your eye exactly where hers was!
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And when you're in the right place at the right height, the taping "lines" up with the real world and makes sense. Note the vertical lines; it's not a coincidence that they appear to be parallel. (Also, check out those garbage cans.)
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This impressive taping job has a ton of horizontals. It's not a coincidence that the horizontal lines appear to be parallel.
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Here, the red tape gets in the way, but shows an interesting thing that we'll talk more about. The red tape covers a set of lines that in the real world are parallel to each other but are not parallel to the window. These lines have "images" on the window that share a common point known as a "vanishing point." Here the vanishing point happens to be the point directly in front of the art director's eye, which (you guessed it!) is not a coincidence.
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By now, you probably have remarked a red cross on each window. It indicates the point directly in front of the art director's eye. Likewise on the floor, there is a piece of tape that indicates where the director should stand. It's important to have these markers so that the directors can reposition themselves throughout the activity so that they do not drift out-of-position.
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This view looks a lot like the previous one, but it's actually the view from the other side of the building. A little reminder of our previous topic--symmetry.
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These guys are totally blown away by what they've done. Maybe math is cool!