Escher-type Tessellations and Pull-up Polyhedra: Creative Learning for the Classroom
Inhaltsverzeichnis
Reference
E.B. Meenan and B.G. Thomas: Escher-type Tessellations and Pull-up Polyhedra: Creative Learning for the Classroom. In: Bridges 2010. Pages 539–544
DOI
Abstract
In this practical workshop participants will gain an appreciation of how Dutch artist M.C. Escher created his intriguing tessellations through the distortion of simple shapes and the application of geometric transformations. Participants will be guided through the creation of their own Escher-type tessellations and these ideas will be extended into three-dimensions with pull-up Platonic solids patterned with Escher’s designs.
Extended Abstract
Bibtex
Used References
[1] D. Schattschneider. M,C. Esher: Visions of Symmetry. London, Thames and Hudson. 2nd ed. 2004.
[2] B.G. Thomas and M.A. Hann. Patterns in the Plane and Beyond: Symmetry in Two and Three Dimensions. Monograph no. 37 in the Ars Textrina series, The University of Leeds International Textiles Archive (ULITA). 2007.
[3] D. Schattschneider and W. Walker. M.C. Escher Kaleidocycles. Norfolk, Tarquin Publications. 3rd ed. 1982.
[4] B.G. Thomas. Form, Shape and Space: An Exhibition of Tilings and Polyhedra. The University of Leeds International Textiles Archive, UK. 10 October 2007 – 16 May 2008.
[5] E.B. Meenan and B.G. Thomas. “Pull-up Patterned Polyhedra: Platonic Solids for the Classroom” in R. Sarhangi and C. Séquin (eds.) Bridges Leeuwarden: Mathematical Connections in Art, Music and Science, pp.109-116. 2008.
[6] B.G. Thomas and M.A. Hann. “Patterning by Projection: Tiling the Dodecahedron and other Solids” in R. Sarhangi and C. Séquin (eds.) Bridges Leeuwarden: Mathematical Connections in Art, Music, and Science, pp.101-108. 2008.
[7] B.G. Thomas. “Counterchange Patterns and Polyhedra” in in C.S. Kaplan and R. Sarhangi (eds.) Bridges Banff: Mathematics / Music / Art / Architecture / Culture, pp.177-182. 2009.
[8] E.B. Meenan and B.G. Thomas. “Creating Islamic Patterns from Folded Shapes” in C.S. Kaplan and R. Sarhangi (eds.) Bridges Banff: Mathematics / Music / Art / Architecture / Culture, pp.367-374. 2009.
Links
Full Text
http://archive.bridgesmathart.org/2010/bridges2010-539.pdf
