3/25/2023 0 Comments Star tessellation![]() Each of the boundaries' partitions off the space for which well is nearer. What happens if I add a third well? Or a fourth? We now get regions like these. Additionally, if I drew two circles of any same (arbitrary) radius greater than half the distance between the wells, then they would overlap on this line. It’s easy to see that dividing line bisects the perpendicular straight line connecting both wells. Also, if I had infinitely small feet, and I stood anywhere on this line, I’d be equidistant from both of the wells. ![]() The line dividing which well is nearer is a straight line. To the ‘left’ of the line, it’s nearer to go to the well on the well on the ‘left’, to the ‘right’ of the line, it’s closer to go to the well on the ‘right’. It’s possible to draw a line dividing the desert. If I want to go to the nearest well, which well do I visit? Clearly, it depends one where I am standing. Imagine I’m in a desert, and there are two wells where I can obtain water. These constructions are really pretty, and simple to explain. ‘Autonomatic’, UCF research cluster publication, 2007.This week I’m going to talk about Voronoi diagrams. ‘Autonomatic’, exhibition, Metworks, London, 2007. ‘David Watkins, 21 years of Innovation’, exhibition, CAA, London, 2005 This research also has implications beyond the field of craft practice to other disciplines utilising CAD for the creation and testing of 3D forms, such as engineering and architecture. The research has led to the development of new tessellations which dramatically expand the opportunities for craft practitioners to create new and unique surface aesthetics. This research is the first to consider the implications of topology in relation to the surface aesthetics of objects it aims to counter the dominance of triangulated surfaces as exhibited in work by Riedelbauch (2004). This systematic testing was needed to accurately evaluate how the digital files behaved in the physical world, and resulted in the creation of a unique resource library of milled surfaces. ![]() The current model used by 3D CAD is limited and relies on a singular method of triangulation to describe 3D form as a result the objects created using these technologies exhibit certain similarities in their visual surface aesthetics.īuilding on tessellations described by mathematician McNeill (2002), the research involved new types of topology being created and tested against existing standard tessellations to establish their effect on surface aesthetic.įor each new tessellation a series of test pieces were produced using a Computer Numeric Controlled milling machine. The physical artefacts on show were the result of a three year research project investigating the relationship between the surface aesthetic of digital designed and manufactured craft objects and the underlying topological elements commonly found in 3D Computer Aided Design software. This body of practice based research was peer reviewed and selected for presentation at the exhibition, ‘Future Voices: Celebrating Diversity’ which ran in conjunction with the conference ‘New Craft Future Voices’. ![]() Future Voices: Celebrating Diversity/University of Dundee, Scotland ![]()
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