Hyperbolic Geometry Research Paper by hicaliber

Hyperbolic Geometry
An examination on using M.C. Escher' "Circle Limit III" to instruct students in hyperbolic geometry.
# 94944 | 2,279 words | 6 sources | MLA | 2007 | US
Published on May 11, 2007 in Art (Fine Art) , Mathematics (General)

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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.

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

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.

Cite this Research Paper:

APA Format

Hyperbolic Geometry (2007, May 11) Retrieved August 13, 2022, from https://www.academon.com/research-paper/hyperbolic-geometry-94944/

MLA Format

"Hyperbolic Geometry" 11 May 2007. Web. 13 August. 2022. <https://www.academon.com/research-paper/hyperbolic-geometry-94944/>