This is based on my failure of creating an optimum solution to planar polygonal subdivisions. There is a method called Tangent Plane Intersection (TPI), explained briefly here (sometimes similar algorithms are called “planar remeshing” and  “variational shape approximation”) which is effectively used in Trada pavilion (here). I tried to implement a similar method using only native Grasshopper components and no recursion, but it quickly became much more complicated than I thought. It was based on a simple idea that I can obtain the tangent plane of any point on a […]


First year Architectural Geometry course includes euclidean constructions as a study of associative geometry. We have exercised below questions to study this topic. These are three mutually tangent circles, that can be drawn using only compass and ruler, without built-in tangency functions in Rhino. Such exercises are expected to improve students’ reasoning. We believe architectural geometry education should encourage a conception that allows students to think about what they are doing and control their process, rather than just using commands to produce forms randomly.