Herringbone Tiling

This project was about a unique tiling pattern inside a multi-story residential building’s hallways in Grasshopper. While drawing the construction documents of the project, it was necessary to apply some coding here, as each floor had a different shape to be tiled. The problem statement included one sketch with a zigzag-shaped tiling pattern. Thus, I tried to implement this pattern on multiple floors with different shapes. I call this definition corridor tiling. First, I’ve imported the geometric boundaries and the…

In large-scale projects, calculating tiling layouts for wall, floor, and ceiling surfaces becomes even more critical. Evolutionary optimization of these tilings seemed to be a viable approach yesterday. Considering how time-consuming and labor-intensive this process can be, I tried using Galapagos, an old but often overlooked feature in Grasshopper, which might be particularly useful in this situation. Galapagos provides an alternative interface for evolutionary optimization within Grasshopper. It works by minimizing or maximizing a fitness value you define, using parameters…

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 a simple Penrose Tiling Generator in Grasshopper. I used the…

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…

This elegant and straightforward tiling geometry is credited to Dominican priest Sebastien Truchet in 1704 and was documented in a book titled “Memoir sur les Combinasions” (A Memoir on Combinations). After delving into the renowned Truchet Patterns in 2013, I revisited their three-dimensional tiling counterparts today. This served as a valuable exercise in geometry during my previous Design Geometry course. I believe it enhances one’s proficiency in mastering the technical aspects of Rhino software and in creating seamless tilings through…