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Title: Complex Lattices: Representation, query, and design
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Date: Tuesday, June 30, 2020
Time: 9:00 am EST
Location: https://bluejeans.com/142477931
**Note: this defense is remote-only due to the institute's guidelines on COVID-19**
Committee:
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Prof. Jarek Rossignac (Advisor, School of Interactive Computing, Georgia Tech)
Prof. Greg Turk (School of Interactive Computing, Georgia Tech)
Prof. Sehoon Ha (School of Interactive Computing, Georgia Tech)
Prof. Athanassios Economou (School of Architecture, Georgia Tech)
Abstract
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Lattice structures are becoming more widespread in product and architectural design. Recent work has even demonstrated the printing of nano-scale lattices. However, an anticipated increase in product complexity will require the storage, processing, and design of lattices with orders of magnitude more elements than current Computer-Aided Design (CAD) software can manage.
To address this, we propose a class of highly regular lattices called Steady Lattices, which due to their regularity, provide opportunities for highly compressed storage, accelerated processing, and intuitive design. Special cases of steady lattices are also presented, which provide varying degrees of compromise between design freedom and geometric regularity. For example, the commonly used regular lattices, which provide little design freedom but offer maximum regularity, are the least general form of steady lattice.
We also propose several applications and extensions of steady lattices. In particular, we propose an application for modeling some architectural structures for which construction costs may be reduced, and we propose an application called Programmed Lattice Editor (PLE) for modeling steady lattices via a hybrid code and graphical user interface. We also propose an extension called Lattice-in-Lattice (LiL) for modeling hierarchical lattices of which the lattice beams are themselves lattices, and we propose an extension called Constructive Lattice Geometry (CLG) for generalizing the lattice geometry with a periodic, Constructive Solid Geometry (CSG) based modeling paradigm.
