Modeling Waves Relief

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…

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…

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…

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…

Here is another basic exercise in Grasshopper. This exercise “Point Waves” creates wave-like deformations on the grids of points. The major function of the definition is to calculate the distances from every point of a grid to an attractor point, with the help of Distance (Dist). Then it sorts them from the smallest to the largest (= closest to farthest) with the Sort List (Sort) component. This component takes and matches two lists of the same size, called key (K)…