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 […]
Posts categorized under Grasshopper
A Penrose tiling exemplifies a type of tiling known as aperiodic. In this context, tiling involves covering a plane with non-overlapping polygons or shapes. Aperiodic means the tiling lacks arbitrarily large repeating sections. These tilings derive their name from mathematician and physicist Roger Penrose, who extensively studied them during the 1970s. Despite their absence of translational symmetry, Penrose tilings can exhibit both reflection symmetry and fivefold rotational symmetry. I created […]
It is not possible to cover a double curvature surface with planar quads. Here is one method that overcomes quad tiling on double curvature by pulling one vertex of the quads to the plane defined by the other three. This method was used in architecture on several occasions such as the exterior facade of The Yas Hotel, designed by Asymptote Architecture in 2009. The same approach is also evident in […]
Today’s beautiful curve is the spherical cycloid. It is a cycloid, rolling on a 3d circular path rather than a straight and 2d one. There are algebraic explanations of this curve. Therefore, I find it interesting to experiment with them, since it is more interesting than the regular planar cycloids, epicycloids, and hypocycloids. This curve is believed to have been studied first by Jean Bernoulli in 1732. The interesting and […]
An Archimedean solid is a convex isogonal (vertex-transitive) and nonprismatic solid that is composed of two or more regular polygonal faces. There are thirteen such solids in geometry. Coding the snub dodecahedron study aims to generate one of these solids, composed of 12 regular pentagons, and 80 regular triangles. You can generate the snub dodecahedron by expanding and twisting the faces of a dodecahedron outward. This also creates rhombicosidodecahedron, which […]
In this short tutorial, I am showing the essentials of data domains in Grasshopper. A domain is a data type in Grasshopper that represents a portion of the 1d or 2d number space. This requires a starting and ending point in those spaces. In 1d, these points are two numbers. Then, the domain represents all the numbers between them. In 2d, a data domain is represented by two coordinates (u, […]
In 1986, Craig Reynolds developed an algorithm aiming to model the flocking behavior of birds, which remains a cult method used in flock simulations today. In my initial study, the bird-oids (boids) have no rules or limitations, just chilling randomly on the screen. I call this initial version Wandering Simulator. There are several reasons why this fundamental simulation is difficult in Grasshopper and Python, our parametric design interface. In Grasshopper […]
Here is a method for coding the dodecahedron and all its irregular variants in Grasshopper as quickly as possible. I utilized the golden ratio rectangles, usually used to construct the sister polyhedron, the icosahedron. However, the magic component of the Grasshopper, the Faceted Dome rescued me again to generate the dual of it, the dodecahedron. This is a special platonic solid, which has 12 regular pentagonal faces. There are several […]
This is the new version of my previous study on the deformation of Islamic Patterns. I love the purity and simplicity of the geometric construction processes of these patterns. It is possible to observe them in many places in many different forms. By continuing this work, I aimed to highlight the pattern deformations that map out all the variation possibilities of these patterns. Unlike previous versions, this time I aimed […]
This is the continuation of my previous study on the Fibonacci lattice on a spherical surface, creating a Fibonacci Dome structure. The panelization of curved forms with flat surfaces has been a favorite topic in architectural geometry. The trigonometric layout of the Fibonacci sequence generates a spherical formation, while the Faceted Dome component handles planarity. Here I further enhanced the previous code into a pavilion design. The essential part of […]
This work emerged out of necessity. In the design and application process of wooden frame structures, where we put thousands of pieces together like a puzzle, the issue of preparing and updating quantity and measurement lists requires the most effort. Hours spent on this and the possibility of making mistakes are very high. However, with the Quantity Surveyor I developed in Grasshopper, you can generate measurement lists almost in real-time. […]
The regular dodecahedron is one of the five Platonic solids, characterized by having 12 regular pentagonal faces, 20 vertices, and 30 edges. When you elongate it, you extend its structure in one or more directions, resulting in a shape that retains the basic properties of the dodecahedron but is stretched out. The elongated dodecahedron might not catch your eye at first—it’s just a long version of a shape you’ve probably […]
Today’s computational curve is the beautiful Sierpinski Triangle. It is a fractal named after the Polish mathematician Waclaw Sierpinski, who described it in 1915, though it had been previously described by other mathematicians. It is a self-replicating pattern that arises from a simple recursive process. To construct the fractal, you start with an equilateral triangle and then repeatedly remove smaller equilateral triangles from its interior, leaving holes. Each iteration involves […]
The rhombic dodecahedron is a polyhedron with twelve rhombus-shaped faces, where each face has four sides of equal length. It is possible to construct the space-filling variant of the rhombic dodecahedron by arranging multiple such rhombic dodecahedra in a regular pattern so that they fill space without leaving any gaps. In his 1611 work on snowflakes titled “Strena seu de Nive Sexangula,” Johannes Kepler observed that honey bees utilize the […]
Lissajous curves, named after the French physicist Jules Antoine Lissajous are a family of curves that emerge from the interaction between two harmonic oscillations. They have applications in various fields including physics, engineering, and signal processing. They are commonly used in electronic devices such as oscilloscopes to visualize the phase relationship between two oscillating signals. Similarly, they are also useful in mechanical engineering for analyzing and designing mechanisms that involve […]
Geodesic refers to the shortest path between two points on a curved surface. It is based on the principles of geodesy, which is the science of measuring the Earth’s shape. On the other hand, in architecture and design, a geodesic dome is a spherical or hemispherical structure consisting of a network of geodesic lines (great-circle arcs) forming triangles. Therefore, the dome’s framework provides strength and stability, distributing stress throughout its […]
Stellated polyhedra are three-dimensional geometric shapes formed by extending the faces of a regular polyhedron (a solid with flat faces) beyond their original boundaries until they intersect with each other. The term “stellate” comes from the Latin word “stella,” meaning star and these polyhedra often have a star-like appearance due to their extended faces. They are popular because of their aesthetic qualities. I studied these forms many times before. This […]
In 2016, archi-union architects and fab-union intelligent engineering completed the renovation of the art gallery in Shanghai, China. The distinctive feature of the building was the robotic masonry fabrication of the brick facades. The undulating and waving parametric bricks were increasingly becoming popular after the introduction of parametric design tools such as Grasshopper and the works of Gramazio & Kohler at ETH Zurich since 2008, I guess. I made two […]
Catalan Solids are the duals of Archimedean Solids. They were first described by mathematician Eugène Charles Catalan in the 19th century. There are 13 Catalan solids, and they exhibit interesting symmetries and unique characteristics. While coding the vertex coordinates of these solids in Grasshopper, I made a simple lamp design to exercise the programming language. The code generates the 13 Catalan Lamps with flaps. Since the polyhedra have planar faces, […]
While reviewing past Grasshopper studies, I stumbled upon a Parametric Muqarnas study dating back 11 years. Although it shares numerous characteristics with a muqarnas design, it is not a perfect match. The Grasshopper definition used in that study was not particularly efficient, prompting me to revisit and improve it. This particular design presents various challenges, making it an excellent exercise for mastering Grasshopper. My goal with this study was to […]