**Individual Research Project 7.9**

Write a paper on perspective. How are three-dimensional objects represented in two dimensions?

*References:*

Mathematics and Perspective

**http://mathforum.org/sum95/math_and/perspective/perspect.html**

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.

*References:*

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:

31

331

3331

33331

333331

3333331

33333331

333333331