#parametric-surface

You are seeing the last of the interlocking system trials that I have previously tested in two exercises. If you remember, in our first trial, we were drawing interlocking joinery details on cross-sections using closed curves, without any solid modeling. And here is the most advanced one, I guess. In this exercise, however, we are creating a solid model that incorporates these interlocking details. This time, we will look at how to construct the same system using Boolean operations. Boolean…

I previously shared the Grasshopper definition for terrain generation that we used in last year’s Basic Design studio. One of the goals of this project was to take the first step toward developing students’ skills in understanding, processing, and utilizing terrain data as a design input. To support this objective, we provided them with small supplementary tools. One of these tools was the slope map. As you can see, this is quite a simple Grasshopper definition. It computes the slope…

Last year, for the midterm assignment in our first-year basic design studio, we gave our students a range of different, randomly generated contexts to work with. For this purpose, I developed a small Grasshopper tool that makes the graph of a function look as much like a terrain model as possible. This tool is not really a procedural terrain generator. I would genuinely like to build one, someday. What we have here is simply a function surface. At the inputs,…

Relief in the context of art and sculpture refers to a technique where a three-dimensional form is created on a flat surface. The object or figure “protrudes” from the background, creating depth and texture. In this short tutorial video, I am modeling waves relief using the basic drawing and modeling commands of the Rhinoceros software. Here, I use the point surface command. Because, in Rhinoceros, generally we describe the parametric surfaces as four-sided objects. So, this exercise is a basic…

Truchet patterns refer to a set of geometric designs based on simple, repeating shapes, usually tiles or squares. These tiles can be rotated or flipped to create complex and visually interesting patterns. A French mathematician, Michel Truchet introduced these patterns in the 1970s. Since then, you can see them often in art, design, and mathematics. In this short video tutorial, I am modeling truchet relief in Rhinoceros CAD software. My purpose of this modeling process is to demonstrate the basic…

A “hypar” is short for a hyperbolic paraboloid, a double-curved, saddle-shaped surface often used in architecture and structural design due to its unique geometric properties. It is a ruled surface, meaning it can be constructed entirely with straight lines, despite its curved appearance. In this short tutorial video, I am building a beginner-level 3D pattern that resembles the hypar surface. This is a basic drawing exercise to control the viewport and place primitive objects precisely. Thus, more advanced tutorials would…

In art, design, and geometry, folding involves bending or creasing a material, such as paper, fabric, or other flexible materials into defined shapes or patterns. In this short tutorial video, I am modeling a folds relief pattern. This pattern stands out due to its resemblance to a collapsible folding system, combining both structural and aesthetic qualities. We refer to it as a folds relief pattern because it also mimics a relief design, creating light and shadow effects. This video series…

Here is a wave generator code I developed using Grasshopper and Python. While searching for a solution to the realistic water simulations, I came up with the Gerstner Waves. I tried to implement it. However, I came up with this final result, which is not a Gerstner Wave generator, but a much simpler one. It combines many user-fed wave components and calculates the resulting single wave. I played with this code for hours with different components. So, it is worth…

I have created a straightforward Grasshopper code that generates a Voronoi diagram on a surface. Then, it adds thickness to form a structure called a “Voronoi Cage.” In the initial step, I project a surface onto the ground plane (Z=0). The projected frame serves as the boundary for two operations: generating random points using the Populate 2D (Pop2D) function and calculating the Voronoi diagram based on these points. The resulting Voronoi cells are then slightly offset inwards. Moving on to…

This is an update on my 2012 exercise on rhombille tiling. This reminded me of the old-school subdivisions of surfaces again after 11 years. It was while reading about rhombic dodecahedron (the stackable solid), that I came across this cute tiling. It’s quite simple, just a hexagonal grid with a special reconstruction. I decided to recreate it by using well-known native Grasshopper components. I animated the result with a variation of the Breaststroke surface function (described here). Then I reconstructed…