Individual Research Project 7.9
Write a paper on perspective. How are three-dimensional objects represented in two dimensions?
Mathematics and Perspective
Morris Kline, Mathematics, a Cultural Approach (Reading, MA: Addison-Wesley, 1962), Chapters 10-11.
C. Stanley Ogilvy, Excursions in Geometry (New York: Oxford University Press, 1969), Chapter 7.
Individual Research Project 7.10
Is there a “best” rectangle. If you like to do origami, which size paper best suits your needs? What are “standard” sizes for paper?
Individual Research Project 7.11
The discovery and acceptance of non-Euclidean geometries had an impact on all of our thinking about the nature of scientific truth. Can we ever know truth in general? Write a paper on the nature of scientific laws, the nature of an axiomatic system, and the implications of non-Euclidean geometries.
Philip J. Davis and Reuben Hersh, The Mathematical Experience (Boston: Houghton-Mifflin, 1981).
Individual Research Project 7.12
Find the one composite number in the following set: