Individual Research Projects 7-7

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: