Constructing Mini-tools for Tesselations

Loe M.G. Feijs, Jun Hu, Mathias Funk, W.F. (Mayra) Goevaerts, T.W. Keusters, C.R. van Kessel

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review


We present examples of student work from the course Golden Ratio at Eindhoven University of Technology (TU/e)
where students learn about tessellations, fractals, splines and Processing. One of the difficulties in designing new
tessellations is how to find a basic figure which is attractive or has a meaning and which satisfies the formal
requirements of fitting in a complex tiling. In earlier work we combined turtle graphics and splines, which turned
out useful for certain projects, yet did not complete solve the problem of how to make the difficult creative step.
This year several students created their own interactive mini-tools for designing a type of tessellation of their own
choice. The following strategy was found effective: choose a type of tessellation, typically a Heesch-Kienzle type,
perhaps with an extra twist, and then build a mini-tool in Processing where the edges of the basic figure can be
manipulated interactively using one of the variations of spline theory. We present coding details and examples.
Original languageEnglish
Title of host publicationProceedings of Bridges 2017
Subtitle of host publicationMathematics, Art, Music, Architecture, Education, Culture
EditorsDavid Swart, Carlo Séquin, Kristóf Fenyvesi
Place of PublicationPhoenix, Arizona
PublisherTessellations Publishing
Number of pages4
ISBN (Electronic)978-1-938664-22-9, 1099-6702 (ISSN)
ISBN (Print)978-1-938664-22-9, 1099-6702 (ISSN)
Publication statusPublished - 2017


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