[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 […]
Posts with the keyword moebius
A Moebius strip, also known as a Moebius band, is a fascinating mathematical object and a type of non-orientable surface. It was discovered independently by the German mathematicians August Ferdinand Möbius and Johann Benedict Listing in the 19th century. To visualize a Moebius strip, imagine taking a long, narrow strip of paper and giving it a half twist before connecting its ends to form a loop. The result is a […]
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 […]