MATH 499C Space Filling Curves
Dr. Hans Sagan from North Carolina State University will give an undergraduate mini-course on Space Filling Curves in the spring semester of 1997. The class will meet during the week of March 3 - 7 only. Interested students should sign up for 1 credit of MATH 499.If f is a continuous mapping of the closed unit interval [0,1] into Euclidean n-space En ( for some n = 2, 3, 4 ... aleph nought ), then the image f [0,1] is called a continuous curve. In 1890 Peano discovered a continuous curve which passes through every point of a closed square. This was one of the first examples of what is now called a space filling curve. In general, a continous curve which passes through every point of a closed n-cell in En is called a space filling curve.