(from I.M. Yaglom, Geometrical Transformations III (New York: Random House, 1973), pages 10 and 21. Book translated from the Russian by Abe Shneitzer, illustrated by George H. Buehler.)
Hey there. I'm Matt Frank; welcome to my home page.
Some stuff about me: I was born on March 6, 1974. I grew up in Culver City, a small city which is surrounded by the city of L.A. I just graduated from Yale University. I will soon be going to graduate school at the University of Chicago, getting a master's in math and a Ph.D. in history and philosophy of science. I also intend to pursue various hobbies there, such as bridge.
Right now I'm at the Geometry Center at the University of Minnesota at Minneapolis. I have e-mail there as frankm@geom.umn.edu. I'm spending the summer selling projective geometry to the world. You can even connnect to my new Web site on projective geometry. Here's a sample of my wares:
Pappus's theorem: If points A1, A2, A3 and B1, B2, B3 are collinear, then the intersections A1B2.A2B1, A1B3.A3B1, A2B3.A3B2 are collinear.
Desargues' theorem: If two triangles are in persepctive from a point (the lines connecting corresponding vertices intersect in one point), then they are in perspective from a line (the points at the intersections of corresponding sides are collinear).
Examples of parallel and central projection by I.M.Yaglom:
(from I.M. Yaglom, Geometrical Transformations III (New
York: Random House, 1973), pages 10 and 21. Book translated
from the Russian by Abe Shneitzer, illustrated by George H.
Buehler.)
Example of parallel projection geometrically gone wrong
(but artistically wonderful):
(Edward Hopper's 1951 Rooms by the Sea. Taken from
Gail Levin, Edward Hopper (New York: W.W. Norton and
Company, 1980), p. 295, plate 424.
Solution of a recent problem from the newsgroup geometry.puzzles: click here.
Non-projective info. about Minneapolis stuff:
The Hard Times Cafe
The Minneapolis Institute of Arts