1. The Geometry Aspect of M. C. Escher’s Circle Limit III by Thuan Huynh

2. About M. C. Escher Maurits Cornelius Escher was born on 17th June, 1898 in Leeuwarden, Netherlands. He studied at the School of Architecture and Decorative Arts in Haarlem. However, he gave up architecture in favor of graphic arts. At first, his works depicted landscapes using impossible perspectives. After 1937, he discovered the “open gate” of mathematics and made a few attempts in his early works to satisfy his urge for filling the plane. His fame slowly spread, and during the 1950s, articles on his work appeared. His works began to be displayed in science museums rather than art galleries. He died in 27th March, 1972 at the age of 73.

3. Fig. 2. Circle Limit III. December 1959.

4. According to Escher’s measurement, the angle between the bounding circle and the white circle is precisely My goal is to calculate mathematically.

5. Fig. 2. Escher’s “framework”

6. Fig. 3. Fig. 4.

13. References Dunham, Douglas. “Some Math Behind M. C. Escher’s Circle Limit Patters”. d.umn.edu.14 April. 2013. http://www.d.umn.edu/~ddunham/umdmath09.pdf Schattschneider, Doris. M. C. Escher: Visions of Symmetry. New York: Harry N. Abram, Inc., 2004. Print. Schattschneider, Doris, and Michele Emmer. M. C. Escher’s Legacy. New York: Springer, 2003. Print.