Turtles for Tessellations

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Loe M.G. Feijs and Jun Hu: Turtles for Tessellations. In: Bridges 2013. Pages 241–248



We developed an approach to creating vector graphics representations of tessellations for purposes of teaching cre- ative programming and laser cutting. The approach is based on turtle graphics. The lines of the turtle’s trail define the tiles of the tessellation. The turtle is defined in an object-oriented style and embedded in the Processing environment as a library. The library is called Oogway. It also facilitates embedding line segments made with different tools such as Illustrator. We present the basic idea, the library, several example and our experiences.

Extended Abstract


Used References

[1] Feijs, Loe MG. Geometry and Computation of Houndstooth (Pied-de-poule), In: Robert Bosch, Douglas McKenna, and Reza Sarhangi (Eds.) Proceedings of the 2012 Bridges Conference, Baltimore, Maryland (2012).

[2] Siddiqui, I. Tessellated Floorscape, interior acts of production, siting and participation. IDEA JOURNAL 2010 Interior Ecologies, (www.idea-edu.com) pp.42-53.

[3] Heesch, H. and Kienzle, O. (1963). Fl ̈achenschluß; System der Formen l ̈uckenlos aneinanderschliessender Flachteile. Berlin,: Springer.

[4] Feijs, L. and Bartneck, C. (2009) Teaching Geometrical Principles to Design Students. Digital Culture & Education, 1(2), 104-115.

[5] M.C. Escher, the graphic work. Taschen 2001.

[6] Doris Schattschneider. M.C. Escher: Visions of Symmetry. W. H. Freeman (1992).

[7] Fejes T ́oth, L. (1964). Regular figures. New York,: Macmillan.

[8] Verhoeff, T. 3D Turtle Geometry: Artwork, Theory, Program Equivalence and Symmetry. Int. J. of Arts and Technology, 3(2/3):288319 (2010).

[9] Seymour Papert. Mindstorms: children, computers, and powerful ideas. 2nd edition, 1993, Basic Books.

[10] Christoph Bartneck, Jun Hu, Loe Feijs (teachers), Rick van de Westelaken, Wouter Kersteman, Thomas van Lankveld, Man-shaped figures, Tessellation of Skunks, and Stealth. Fathauer, R. and Selikoff, N. 2012 JMM Art Exhibition Catalog, The Bridges Organization.


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