Research

The cellular canopy is an anonymous tutorial on the history recording capability of Rhino. I’ve been using a “pedagogical” version of this tutorial as an educational tool on the introduction to Grasshopper and Parametric Modeling for architects. The interesting thing with such exercises is they…

There are a couple of experiments in different schools about organizing free-form surfaces (walls here) with a composition of modular elements (bricks). Even though they created robots to make such brick walls, I still couldn’t understand why. Although creating a parametric model that calculates the…

Inspired by Andru Pavlov’s design, I used a curve to accomplish grid tearing. It’s straightforward, and from an educational perspective, this exercise includes several potentials on vector arithmetics and graph manipulation techniques. As a design domain, this definition stresses the use of associative entities in…

This was my first serious Grasshopper study. In 2009, I decided to attend a design contest for a campus entrance. Of course, the jury didn’t know that the design resulted from a parametric model. I have called this Parametric Entrance since then. The starting point…

It has been a tough problem for me, for the last two days. A parametric model of an interlocking structure (sometimes also called egg-crate, waffle, or contouring structure) can be created easily in Grasshopper using a Contour component. In addition, you need a couple of…

Since the mid-20th century, the hyperbolic paraboloid surface has been one of the most popular mathematical forms for architects. Named Hypar in short, this is the Quadric Surface equation of the Hyperbolic Paraboloid. Erik Demaine summarizes several examples from architecture such as the roof of…

An octahedron is a polyhedron and platonic solid with 8 faces of identical equilateral triangles. In this post, I will try to explain the drawing and unrolling process of the octahedron. It has a close relationship with the cube as it’s dual. In order to…

[2011_12_25_divide] here is the fundamental of surface subdivision in Grasshopper. In order to design a parametric truss exercise, this is the generally accepted starting point. Get a surface from the file, subdivide it into U and V directions to create point lists, and then manipulate…

I am learning Grasshopper. In this Circle Crossing definition, I tried to create the above pattern (also described in Sunflower Spiral) as simply as possible, this definition creates not only spirals but is also capable of more tessellations I guess. Maybe a three-dimensional equivalent might…

This time, in order to develop a potential “dummy” surface for Grasshopper experiences, I built a better definition. The Graph Surface definition uses a polygon as a basis, divides the edges and moves them according to various parameters. It’s fun to play with mapping different…

The dodecahedron is a Platonic Solid with 12 equilateral pentagonal faces. It has a close relationship with its 20-sided dual, Icosahedron. Mete Tüneri showed the following method of Dodecahedron construction, using only distances, corners of the pentagon, and a visionary equilateral triangle underneath. We’ll construct Dodecahedron,…

NURBS surfaces by nature, like four-corner topologies with U and V directions. Şebnem Yalınay Çinici has formulated a tectonic exercise of “Primitive Hut”, which in my point of view is a tough geometric challenge; a subdivision on a real three-corner manifold. That seems very easy at…

This experiment is based on a traditional surface-component definition. However, the variation of components is associated with Gaussian curvature. We just control the subdivision and a multiplier value. Results are interesting in as an educational tool to explain NURBS surface curvature and its utilization for…

Icosidodecahedron is an Archimedian Solid, a thing in between the Platonic Solids of Icosahedron (d20) and Dodecahedron (d12). It is a rectified version of an Icosahedron, constructed by dividing every edge into two equal segments and joining these segments to create a composition of equilateral…

Today’s polyhedra is the beautiful icosahedron. It is one of the five Platonic Solids with twenty equilateral triangular faces. Its dual is the dodecahedron, which has pentagonal faces. Here, I explained the process of modeling an icosahedron. After creating a regular pentagon, you should find…

A truncated tetrahedron is an Archimedean solid, created by slicing a tetrahedron. Its faces are regular hexagons and triangles. Assuming you’ve created a tetrahedron, first join its faces to create a closed polysurface. Now, you may recreate the lines of the tetrahedron’s edges, either by…

Back in 2011, one of the first posts on designcoding explored how to divide a surface in alternative ways. I called this Grasshopper definition a semi-regular surface tessellation. Although the term isn’t entirely accurate -since the pattern is neither planar nor made of equilateral shapes-…

The tetrahedron is a platonic solid with four equal triangular faces (equilateral), six equal edges, and four vertices. In the construction of a tetrahedron, we will look closer at length transfers using compass-like tools in two- and three-dimensional space. To define the edge length of…

The smooth and continuous nature of the “Sine Surface” has garnered significant popularity among designers and architects alike. This captivating curved surface offers a visually pleasing aesthetic that adds an elegant touch to various design projects. Its flowing contours and gentle undulations create a sense…

This is my first post in designcoding, dated 14.11.2011. I revisited the code and decided to re-publish it in 2024. Hello World! This is the Emergent Polygons definition, one of the first Grasshopper studies I made while learning the language. This is a very efficient…