sphere

Although it appears simple, Goldberg Polyhedra in Grasshopper became a tough challenge, which I like a lot. I spent about 24 hours attempting to generate these polyhedra. I started with Goldberg’s original method. This creates an equilateral triangle using coordinates denoted as m and n…

This is a 3d modeling tutorial for the platonic solid of dodecahedron. Modeling a dodecahedron is a good exercise for the basic transformation commands such as Rotate3D in Rhinoceros. You will see that it is possible to calculate the rotation angle by using sphere intersections….

This website explains the problem and several solutions. I managed to implement the formulas to convert a 2D square grid into spherical coordinates. The Fibonacci Sphere is one of the solutions to the equal distribution of points on a sphere. It is not the best…

According to Wolfram, “By the duality principle, for every polyhedron, another polyhedron exists in which faces and polyhedron vertices occupy complementary locations. This polyhedron is known as the dual, or reciprocal”. We can use this method to generate new polyhedra from known ones. I tried…

This was a couple of weeks ago, together with my six-year-old son Mete, we decided to make a “ball” out of old memory cards. I was curious about a subdivision method, using only planar quadrilaterals to construct a sphere (named Sixty Square Sphere. There are…

This is the second year we are experimenting with a beautiful exercise with the Computation-based Basic Design 1 students at İstanbul Bilgi University Faculty of Architecture. The exercise is based on the ideas of Benay Gürsoy and Şebnem Yalınay, who are among the pioneers of…

Today’s Architectural Geometry course was about platonic solids and different attractor objects in introducing component-based design systems. Benay’s idea was both pedagogical and interesting to test in Grasshopper. I searched for the most fundamental type of attractor solid in creating a composition such as this;…

Not all of them, but when you get the idea, you’ll see there are lots of different alternatives for creating Fuller’s famous Geodesic Domes (Although in fact, he is not the inventor of it). I was playing with Platonic Solids in Rhino and realized that…

The tetrahedron is a popular platonic solid for designers. We’ve explained how to draw them using equilateral triangles here before. Recently I’ve found (sorry, lost the web address) a much quicker way of modeling a Tetrahedron using a cube. It’s very simple, just connecting the…