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https://digitalcommons.csbsju.edu/math_pi_mu_epsilon/2013/Keynote
Recent Events in Keynote Presentationsen-usFri, 12 Jul 2024 10:33:47 PDT3600In the Shadow of Desargues
https://digitalcommons.csbsju.edu/math_pi_mu_epsilon/2013/Keynote/2
https://digitalcommons.csbsju.edu/math_pi_mu_epsilon/2013/Keynote/2Sat, 13 Apr 2013 12:00:00 PDT
Those of us who teach projective geometry often nod to perspective art as the spark from which projective geometry caught fire and grew. This talk looks directly at projective geometry as a tool to illuminate the workings of perspective artists. We will particularly shine the light on at Desargues' triangle theorem (which says that any pair of triangles that is perspective from a point is perspective from a line), together with an even simpler theorem (you have to see it to believe it!). Given any convoluted, complicated polygonal object, these theorems allow us to draw that object together with something that is related to it--- its shadow, reflection, or other rigid symmetries---and we'll show how this works. (If you enjoy doodling or sketching, bring your pencil, a good eraser, and a straightedge.)
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Annalisa CrannellMath and Art: The Good, the Bad, and the Pretty
https://digitalcommons.csbsju.edu/math_pi_mu_epsilon/2013/Keynote/1
https://digitalcommons.csbsju.edu/math_pi_mu_epsilon/2013/Keynote/1Fri, 12 Apr 2013 20:00:00 PDT
How do we fit a three-dimensional world onto a two-dimensional canvas? Answering this question will change the way you look at the world, literally: we'll learn where to stand as we view a painting so it pops off that two-dimensional canvas seemingly out into our three-dimensional space. In this talk, we'll explore the mathematics behind perspective paintings, which starts with simple rules and will lead us into really lovely, really tricky puzzles. Why do artists use vanishing points? What's the difference between 1-point and 3-point perspective? Why don't your vacation pictures don't look as good as the mountains you photographed? Dust off those old similar triangles, and get ready to put them to new use in looking at art!
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Annalisa Crannell