Hyperbolic Geometry

Paper Summary:

The paper examines how, though not always apparent, there are a number of significant connections between mathematics and art. The purpose of this paper is to demonstrate how the fundamental similarity between math and art can be exploited as a means to teach difficult mathematical concepts to students. To show how this could happen, a particularly complex--if intellectually intriguing--mathematical concept is explored: the concept of distance in hyperbolic geometry, specifically in a Poincare disk.

Outline:
Introduction
Context: What Is Hyperbolic Geometry?
Context: Who Is M.C. Escher?
Developing an Appropriate Class Project
Conclusions
Works Cited

From the Paper:

"Since mathematics education produces singular anxiety for many students, this confluence with art presents significant possibilities for the imaginative educator (Granger 10). It is possible that we could, as educators, use art as a physical and visual means of explaining complex mathematical concepts in other than abstract terms. Over reliance on complex equations and difficult language can and will stymie many students. By endeavoring to ground mathematical theory in artistic reality, students can leans mathematical lessons in the process of seeing how math and art aren't really all that dissimilar."

Sample of Sources Used:

• Corbitt, Mary Kay. "Geometry." World Book Multimedia Encyclopedia. World Book, Inc., 2003.
• Dunham, Douglas. "A Tale Both Shocking and Hyperbolic." Math Horizons Apr. 2003: 22-26.
• Ernst, Bruno. The Magic Mirror of M.C. Escher. NY: Barnes and Noble Books, 1994.
• Granger, Tim. "Math Is Art." Teaching Children Mathematics 7.1 (Sept. 2000): 10.
• Potter, Melissa and Ribando, Jason M. "Isometrics, Tessellations and Escher, Oh My!" American Journal of Undergraduate Research 3.4 (2005): 21-28.

More papers on Hyperbolic Geometry:

• Research Paper # 104815 : "Origins and Significance of Hyperbolic Geometry"
• Analytical Essay # 134227 : "Hyperbolic (non-Euclidean) Geometry"
• Term Paper # 1479 : "Modern Geometry"

APA Citation:

MLA Citation: