Hands-On Perspective

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The world of art offers rich applications of mathematics, and one of the most important of these applications is the notion of perspective. If an object is drawn in perspective, it is drawn as the eye sees it. We know, for example, that the height and width of the front face of the cube in figure 1 are the same as those of the back face. To the eye, however, the sides of the front face appear to be considerably longer than those of the back face. Moreover, the top, side, and bottom faces of the cube do not even appear to be squares.

Contributor Notes

Marc Frantz, mfrantz@indiana.edu, and Dan Maki, maki@indiana.edu, are colleagues in the Mathematics Department at Indiana University, Bloomington, IN 47401. They are interested in teaching mathematics via real-world applications.

Annalisa Crannell, annalisa.crannell@fandm.edu, teaches in the Mathematics Department at Franklin and Marshall College in Lancaster, PA 17603. She conducts research in dynamical systems and is also interested in the use of writing in the mathematics classroom.

Ted Hodgson, hodgson@montana.edu, teaches mathematics and mathematics education courses at Montana State University, Bozeman, MT 59717. He is interested in mathematical modeling and the use of technology in the mathematics classroom.

(Corresponding author is Frantz mfrantz@indiana.edu)(Corresponding author is Maki maki@indiana.edu)(Corresponding author is Crannell annalisa.crannell@fandm.edu)(Corresponding author is Hodgson hodgson@montana.edu)
The Mathematics Teacher

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