Drummond Masterton
project_Star Tessellation
The defining aesthetic aspect of many objects created by designer makers using RP and CNC milling is a triangulated effect. This triangulation is achieved by saving objects as Stereolithography or STL files, although this triangulation can be effectively removed by decreasing the size of the triangles to an almost microscopic level.
Recently more designer makers have been using the production method of RP and exploiting the triangles that are a result of the STL file format used. There are a large number of cases where these triangles are talked up by the maker as a positive thing, a happy accident; I believe that this is mainly afterthought and a counter to critics concerns over issues of control of the process. In the future such work that fails to have a true rationale for using these triangular patterns will seem tired, as the aesthetic is a direct result of the process and can be easily simulated by other makers, resulting in a plethora of objects with few distinguishing features.
This enforced triangulation prompted an investigation of how to remove the triangle, I started by researching the principles behind the STL format and discovered that although all surfaces are ultimately triangulated only those with curvature reveal this idiosyncrasy.
This led to the exploration of different types of tiling with the knowledge that there had already been a significant amount of work conducted in this area by mathematicians and by craftsmen as visible in the geometric patterns in Islamic design 1.
Instead of designing an object in CAD from a series of particular tools and then saving the result as a STL file. I decided to initially build a series of flat surfaces which were constructed using a range of semi-regular plane tessellations and infinite tessellations 2. My initial test was constructed in 3D Studio MAX using a combination of hexagons and triangles. I then altered this surfaces point by point until I had described a 3D form, in this case a simple bowl. The process was extremely time consuming however the result achieved a level of complexity that would have been difficult to model using just a series of existing operations. The object had incredibly sharp geometric features, that although had escaped the use of software defined meshes, still had an identifiable mathematical aesthetic.
Through the process of CNC milling I was able to output these forms in aluminium and Perspex and this enabled me to evaluate the surfaces under a variety of lighting conditions and more importantly with my hands.
This technique has enabled me to develop a range of work that builds from the ground up and allows me to choose a method that rather than being arbitrarily applied can be designed and controlled. As mentioned before this process is extraordinarily time consuming but it has value embedded as it can achieve a level of uniqueness that comes from the maker rather than the software.
1 AD magazine, Islam +Architecture, VOL 74 n6., Wiley Academic 2004.
2 http:/web.ukonline.co.uk/polyhedra/tessellations/tessel.htm
projects
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downloads & links
Research Papers: The Hunt for Complexity
Research Papers: Deconstructing the Digital
team
Dr Katie Bunnell :P :P :P :P :P :P :P :P :P :P :P :P :P :P :P
Dr Justin Marshall :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :)
Tavs Jorgensen {:) {:) {:) {:) {:) {:) {:) {:) {:) {:) {:) {:) {:) {:) {:) {:) {:)
Drummond Masterton :> :> :> :> :> :> :> :> :> :> :> :>
Adam Stringer ;| ;| ;| ;| ;| ;| ;| ;| ;| ;| ;| ;| ;| ;| ;| ;| ;| ;| ;| ;| ;| ;| ;| ;| ;|
Isabelle Risner ;-o ;-o ;-o ;-o ;-o ;-o ;-o ;-o ;-o ;-o ;-o ;-o

_001 The individual geometric elements are arranged as described in McNeil’s overview
_002 The units are repeated and positioned in order to create a surface
_003 The surface is distorted to give it 3D form
_004 Toolpaths are generated using Mayka allowing the 3D surface to be CNC milled
_005 Both sides of the surface are milled from a solid billet of aluminium
_006 The billet is turned over in the mill and the top surface is milled
Star Tessellation series, aluminium, various dimensions
_001 ST1–A large mesh size allows the individual topological elements to be clearly visible
_002 ST4–A fine spacing was used to create the visual effect of a undulating surface
_003 ST4–The outer silhouette was used to drive the direction of the toolpath
_004 ST7–The surface pattern was derived from the underlying mesh
_005 ST8–The mesh was displaced using a grayscale image of a terrain model
_006 ST8–The surface was overcut 3 times to achieve a cross-hatched quality
_007 ST13–A combination of CAM generated and hand drawn toolpaths create contrast
_008 ST13–The CAM generated toolpaths were manually edited to achieve this graduated effect
_009 ST14–Simple horizontal cuts balance the highly intricate hand edited toolpaths
_010 ST14–The complex intersecting mesh is revealed by the sudden changes in geometry