Title: The parametric making of geometry: the Platonic solids

Authors: Daniela Bertol

Addresses: Faculty of Arts and Education, Deakin University, Geelong, VIC 3217, Australia

Abstract: Geometry is a source of inspiration in the design and making of the manmade world. Computing techniques provide tools to explore complex forms: the research question is how computational tool can be systemised to assist with the translation of geometric concepts into physical objects. The purpose is to describe computational/manufacturing methods for creating digital models and physical objects from regular geometric configurations. The methods are based on parametric design, assisting from ideation to the generation of digital models with material specifications - using the five regular convex polyhedra as a case study. The results are comprised of digital models used for prototyping with 3D printing technologies and hybrid fabrication processes: the products are built geometric shapes ranging from body ornaments to sculptures. These procedures can be extended to generate designs based on irregular geometric shapes. Parametric-based methods are recommended in the digital modelling and fabrication of any geometric form.

Keywords: 3D printing; constructability; CAD; computer-aided design; functional sculpture; geometric form; generative design; parametric modelling; Platonic solids; movement infrastructure; rapid prototyping; spherical symmetry; structural form; strut and tie; parametric design; digital models; convex polyhedra.

DOI: 10.1504/IJRAPIDM.2016.078743

International Journal of Rapid Manufacturing, 2016 Vol.6 No.1, pp.33 - 52

Received: 18 Feb 2016
Accepted: 17 Jun 2016

Published online: 01 Sep 2016 *

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