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Relation Between the Iteration of Planar Retractable Plate Structure and Plane Symmetry Group

Relation Between the Iteration of Planar Retractable Plate Structure and Plane Symmetry Group

Aylin Gazi Gezgin, Koray Korkmaz
Copyright: © 2021 |Volume: 10 |Issue: 2 |Pages: 12
ISSN: 2642-2263|EISSN: 2642-2271|EISBN13: 9781799864011|DOI: 10.4018/IJDIBE.2021070102
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MLA

Gezgin, Aylin Gazi, and Koray Korkmaz. "Relation Between the Iteration of Planar Retractable Plate Structure and Plane Symmetry Group." IJDIBE vol.10, no.2 2021: pp.17-28. http://doi.org/10.4018/IJDIBE.2021070102

APA

Gezgin, A. G. & Korkmaz, K. (2021). Relation Between the Iteration of Planar Retractable Plate Structure and Plane Symmetry Group. International Journal of Digital Innovation in the Built Environment (IJDIBE), 10(2), 17-28. http://doi.org/10.4018/IJDIBE.2021070102

Chicago

Gezgin, Aylin Gazi, and Koray Korkmaz. "Relation Between the Iteration of Planar Retractable Plate Structure and Plane Symmetry Group," International Journal of Digital Innovation in the Built Environment (IJDIBE) 10, no.2: 17-28. http://doi.org/10.4018/IJDIBE.2021070102

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Abstract

One of the most important issues in the design processes of retractable plate structure is to determine the most suitable shape of the plates that form an enclosure without any gaps or overlaps in both closed and open configurations of the structure. One of the approaches to find the most suitable shape of the plates is based on mathematical tessellation technique without using any kinematical or numerical analyses. Due to the usage of RPS on many different areas in architecture, it is just as important to be able to iterate them regularly. This study both focuses on the iteration of planar RPSs that are formed based on 1-uniform tessellation and develops a relation between iteration capacity of RPS and plane symmetry groups. By the help of developed relationship, it tries to realize whether this structure can be derived from 1-uniform tessellation and which tessellation should be selected before obtaining it.

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