As I wanted to learn to use our new CNC cutter, I needed a dummy object to test it. However this became more interesting than I expected. It is moving so sexy! First, I tried to experiment a regular egg-crate definition (explained here and here) last year. I chose Moebius strip as the underlying surface (also experimented here and here before) However, Fulya warned me about their weak relationship. So I’ll work on a more conformal egg-crate definition in order to match the properties of a Moebius surface. This is […]

## moebius

[GHX: 0.8.0066] This is my second attempt on getting into non-euclidean representations of space. Althouth it seems easy at first sight, this represents a close point of theory between mathematics and contemporary computational design geometry. As always, architects tend to use mathematical terms such as “non-euclidean geometries” but as far as I saw, most of them have no idea about what it is. So, I’m trying to learn and understand this connection by experiencing small parts of it, sailing at the edges of architectural geometry, but trying not to get into […]

Inspired from the works of Andrew F. Scott, (here especially) I decided to create a parametric Moebius surface model used as a foundation for various sculpture projects and educational exercises as well. The most challenging part of this problem was to create a single surface (not a Brep) in order to process it easier later on. Here is the result of this work as Grasshopper definition [2012_01_18-mobius] Please be patient for above animation if it loads slowly. Construction process of the model starts with a 3D ellipse, divided into equal […]

One of the most popular shapes in topology studies is the one-edge, one-face Moebius stripe. Here is a basic definition that generates Moebius-like lofted surfaces. I say Moebius-like, because in Grasshopper, or Rhino, or in any NURBS surface method, I couldn’t manage to model this shape in it’s real topological singularity. Tricky part of this Grasshopper definition lies at the end, as I take first segment of the surface, flip it and attach it to the end of the segment list. This creates an illusion that the loft operation seem […]