Posts categorized under Tessellations

Truchet Patterns

Below is a classical Truchet Patterns example we used to discuss in design computing class. Now, we can create a much faster and cleaner definition using the newly added Array component. The new version of Grasshopper brings several important features: Patch surfaces and date/time components. We used to implement a VB component to create simple clocks that measure temporal operations in Grasshopper. Parsing and executing MusicXML and related applications were […]

Grasshopper | Tessellations || array | pattern | truchet
June 21, 2013

Atatürk Cultural Center

The story of Atatürk Cultural Center (in Turkish: Atatürk Kültür Merkezi – AKM) dates back to the 1930s. Auguste Perret designed the first version of the project and started the construction in the late ’30s. However, war and financial problems halted the construction. The project continued in the early 1950s with major updates and extensions. Faruk Akçer and Rüknettin Güney were responsible for this second version. Hayati Tabanlıoğlu designed the […]

Building Facade | Grasshopper | Tessellations || attractor | facade
June 20, 2013

Firefly and a Webcam

I finally installed Firefly, it immediately powers Grasshopper up with beautifully smart components, even if you don’t have Arduino it is still very useful. If you want to give it a try, first you have to install a small tool free from www.reactivision.com in order to send data to Firefly. After that, you may download and install firefly from their website, www.fireflyexperiments.com. It was the real-time inputs, my first interest. […]

Physical Prototyping | Tessellations || firefly | grid | parquet deformation | pattern
January 29, 2013

Baklava

In Turkish, there is a strange word “baklava” that has many uses. According to Wikipedia: Baklava is a rich, sweet pastry made of layers of filo pastry filled with chopped nuts and sweetened with syrup or honey. It is characteristic of the cuisines of the former Ottoman Empire and those of Central and Southwest Asia. However, we should add that 150 gr. of baklava is 413 calories. Here is it […]

Grasshopper | Tessellations || baklava | rhombus
January 23, 2013

Waterbomb Tessellation

It all started with my new passion for origami tessellations, not much of origami, but the tessellation part. I was too lazy to fold it physically, nor model them using an engine such as Kangaroo. That would also be very unnecessary (and yes, very boring) to simulate a folding effort on the computer unless we lose our connection with the real world. Instead, I tried to look at a much […]

Grasshopper | Tessellations || grid | hexagon | origami | tessellation | triangle
January 23, 2013

Seamless Patterns

In this exercise, we asked students to develop a method to produce custom tessellations. This is based on the analysis of what is called “Islamic patterns”. We have discussed Eric Brough‘s famous book “Islamic Geometric Patterns”, regarding geometric relationships and linear connectivities via underlying tessellations (such as regular square and hexagonal). Thus, this geometry and drawing exercise is called “Seamless Patterns” in the Design Geometry course at İstanbul Bilgi University. […]

Design Geometry | Rhino | Tessellations || design education | geometry | grid | islamic pattern | pattern | tessellation
November 23, 2012

Cairo Pentagonal Tiling

This is a late update for my 2012 study on Cairo Pentagonal Tiling (or Cairo Tessellation). Originally, it was an exercise of dual tessellations. Because this tiling is the dual of the famous semi-regular tessellation of Snub Square. After coding the Snub Square tiling, I attempted to generate the dual of it. However, that created an inefficient result. This latest version generates the original Snub Square and Cario Pentagonal Tilings. […]

Grasshopper | Patterns | Tessellations || cairopentagonal | snubsquare
October 22, 2012

Snub Square Tiling

Here is the step-by-step generation of the old Snub Square Tiling. Frankly, this is the first step in the generation of Cairo Pentagonal Tiling I generated with Grasshopper earlier. Because Cairo pentagonal is the dual of a snub square. The first step was easy. Just dispatch cells of a square grid, then evaluate them according to the ratio of 0.366 approx. which is derived from the bisector of an equilateral […]

Grasshopper | Patterns | Tessellations || semi regular | snubsquare
October 22, 2012

Semi-regular Tessellations

Creating and handling new types of grid configurations might be an important topic, as Grasshopper is not supporting them natively (yet). I tried to create some semi-regular tessellations based on regular grids. It is actually truncated versions of regular grids, but it slowly becomes interesting as I realized that I may further truncate emerging grids to create Level 2 and Level 3 grids with more complex tessellations. Here are two […]

Grasshopper | Tessellations || tessellation
May 24, 2012

Spatial Mapping made Easy

Trying to further improve my experience in parametric modeling, I’m mixing and joining old definitions to reveal different potentials. I’m experiencing spatial mapping or morphing in Grasshopper. This is an equivalent form of the “flow along surface” command in Rhinoceros. It re-builds a geometric composition over another space (from world XY coordinates onto a surface with UV coordinates here) This is especially useful in creating surface compositions from famous tessellations […]

Grasshopper | Tessellations || islamic pattern | morph | projection | surface
April 19, 2012

Escher’s Tessellations

After Puzzling, I tried to establish more of Escher’s basic grid transformations using Grasshopper’s native components. This definition simulates Escher’s transformation of four-cornered grids. The postulate is based on the fact that every quadrilateral (or triangular) planar shape can create regular tessellations without gaps or overlaps. In the traditional method, this tessellation is achieved by rotating the shape 180 degrees and copying afterward. However, in Grasshopper we simply define the […]

Grasshopper | Tessellations || component | escher | tessellation
March 29, 2012

Circle Crossing

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 be studied in the future. As you can see from the definition, I started with a large circle. Then, I divided it into segments and […]

Grasshopper | Tessellations || circle | grid | point
December 25, 2011

Semi-regular Surface Tessellation

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- it still reflects what I had in mind. Dividing surfaces into fabricable parts remains a key concept in learning parametric modeling, so I decided to […]

Grasshopper | Paneling | Surface Constructions | Tessellations || semi regular
December 20, 2011

Page 2 of 2«12




       
       
  • Search

  • Categories

    • Education
      • Basic Design
      • Design Geometry
      • Design Mathematics
      • Digital Fabrication
      • Parametric Modeling
      • Tutorials
    • Philosophy
      • Phenomenology
      • Philosophy of Language
    • Practice
      • 3D Models
      • Projects
      • Publications
      • Workshops
    • Research
      • 3D Printing
      • Building Facade
      • Calculus
      • Climate Analysis
      • Compass Constructions
      • Computational Geometry
      • Curves
      • Decorative Arts
      • Digital Fabrication
      • Evolutionary Solvers
      • Folding Structures
      • Fractals
      • Graph Theory
      • Interlocking Structures
      • Islamic Patterns
      • Linear Algebra
      • Minimal Surfaces
      • Muqarnas
      • Non-Euclidean Geometry
      • Paneling
      • Parametric Curves
      • Parametric Objects
      • Parametric Surfaces
      • Pattern Deformations
      • Patterns
      • Pavilions
      • Polyhedra
      • Rammed Earth Structures
      • Robotic Fabrication
      • Shape Grammars
      • Simulation
      • Space Syntax
      • Surface Constructions
      • Tessellations
      • Tools
      • Vector Fields
      • Virtual Reality
    • Tools and Languages
      • 3DS Max
      • 3DS Max Script
      • Grasshopper
      • Photoshop
      • Physical Prototyping
      • Revit
      • Rhino
      • Rhino Macro
      • Rhino Python
      • Rhino Script
      • Unity
  • Monthly Archive

    • May 2025 (2)
    • April 2025 (5)
    • December 2024 (40)
    • August 2024 (5)
    • July 2024 (6)
    • April 2024 (4)
    • March 2024 (10)
    • February 2024 (10)
    • January 2024 (8)
    • December 2023 (10)
    • August 2023 (3)
    • July 2023 (3)
    • June 2023 (7)
    • May 2023 (8)
    • April 2023 (7)
    • March 2023 (2)
    • February 2023 (2)
    • January 2023 (3)
    • December 2022 (6)
    • November 2022 (7)
    • January 2022 (1)
    • December 2021 (1)
    • October 2021 (3)
    • September 2021 (4)
    • August 2021 (4)
    • May 2019 (2)
    • April 2019 (1)
    • March 2019 (5)
    • January 2019 (2)
    • December 2018 (1)
    • November 2018 (4)
    • October 2018 (9)
    • July 2018 (1)
    • June 2018 (4)
    • May 2018 (1)
    • April 2018 (4)
    • February 2018 (2)
    • January 2018 (7)
    • August 2017 (9)
    • July 2017 (6)
    • October 2016 (1)
    • May 2015 (5)
    • April 2015 (8)
    • March 2015 (12)
    • February 2015 (4)
    • January 2015 (11)
    • November 2014 (1)
    • August 2014 (1)
    • June 2014 (2)
    • May 2014 (12)
    • April 2014 (5)
    • March 2014 (3)
    • February 2014 (6)
    • January 2014 (4)
    • December 2013 (5)
    • November 2013 (11)
    • October 2013 (2)
    • September 2013 (9)
    • August 2013 (4)
    • July 2013 (2)
    • June 2013 (14)
    • May 2013 (4)
    • April 2013 (10)
    • March 2013 (11)
    • February 2013 (11)
    • January 2013 (10)
    • December 2012 (10)
    • November 2012 (6)
    • October 2012 (13)
    • September 2012 (2)
    • August 2012 (5)
    • July 2012 (14)
    • June 2012 (6)
    • May 2012 (17)
    • April 2012 (15)
    • March 2012 (9)
    • February 2012 (16)
    • January 2012 (18)
    • December 2011 (20)
    • November 2011 (2)
  • Keywords

      3d printing . accuracy . add-on development . aluminium mesh . aluminium wire . anemone . angle . animate form . animation . apartment . aperiodic . approximation . archimedean . archimedean solid . archimedean spiral . architecture . arduino . area . array . ascii . attractor . award . b-spline . baklava . baldaquin . bambu . basic design . basis spline . basketball . Beginner . bend . bezier . bim . bitmap . blob . boolean . brick . bspline . buckminster fuller . buckminsterfuller . buckyball . building regulations . cage-edit . cairopentagonal . calatrava . calculus . canopy . cardboard . card design . cartesian house . casting . catalan solid . cellular . ceramic . cesaro . chamfer . chaos . chopsticks . circle . circle packing . closed . clusters . cnc cutting . color . column . compass . complex number . component . computation . computational design . computational geometry . computerization . concepts . constructivism . contouring . control points . convex hull . cost analysis . crane . crossover . cube . cura . curvature . curve . cycloid . dataflow . dataflow diagram . dataflow management . data list . data recorder . data tree . deboor . decasteljau . deformation . delaunay . deleuze . derivative . descartes . design competition . design contest . designcontest . design education . design exercises . design studio . diagram . digital design . digital fabrication . digital studio . dijkstra . display . divide . dodecahedron . dome . dot product . doyle . doyle spiral . dragon curve . dual . dwg . dymaxion . dynamic . dürer . edge bundling . education . egg-crate . ellipsoid . elongated . emergency . emergent . enneahedron . enneper surface . entrance . epicycles . equation . escher . euclid . euclidean construction . evolution door . excavated dodecahedron . excel . exhibition . fabrication . fabrik . facade . fermat . fibonacci . field . field lines . firefly . flange . flaps . flocking . flow . folding . font . force field . fourier . fractal . function . function curves . galapagos . game engine . gaudi . gaussian curvature . generative components . genetic algorithms . geodesic . geometry . gestalt . girih . goldberg . golden ratio . gosper . graph . graphic design . graph mapper . Grasshopper . grasshopper python . grid . growth . guitar . gyroid . hatch . helix . hendecahedron . herringbone . herschelsenneahedron . hexagon . hilbert . holomorphic . hoopsnake . hose . hotwire cutter . hypar . hyperbolic . hyperbolic space . hyperboloid . ice-ray . icosahedron . icosidodecahedron . image . image sampler . imagesampler . image sampling . interior design . interlocking . inverse kinematics . iqlight . islamic pattern . isovist . istanbul . iteration . ivy . julia . julia set . kagome . kangaroo . kinetic . kirigami . koch . kuka . kündekari . l-systems . ladybug . lamp . lanterns . laser . laser cutting . lattice . layout . leap motion . le corbusier . lecorbusier . leveling . lissajous . lissajous curve . lituus . lokma . loop . lowpoly . macro . mandelbrot . mantı . map . material . mathematics . maxscript . mecon . mesh . metaball . metamorphosis . mihrimahsultan . minimal surface . minimum spanning tree . mirror . miura ori . modeling . modulardesign . moebius . molding . monkey saddle . morph . motion . mug . muqarnas . musicxml . möbius . natural stone . nature . nesting . nexus . ngrid . noise . non-euclidean . normal . normalization . nurbs . nuts and bolts . object classes . occlusion . octahedron . ontology . opennest . origami . packing . paradigm shift . parametric . parametric design . parametric modeling . parametric object . parametric roof . parametric surface . parametric wall . parquet deformation . patch . pattern . pavilion . pedagogy . pendentive . penrose . pentagon . perception . performance . perlin . perlin noise . permaculture . philosophy . photoshop . phyllotaxis . pipe . planar . plane . planter . plaster . platonic solid . point . polygon . polyhedra . polyline . porous . poster . potplus . precast concrete . precision . printing . processing . projection . prototile . prototiling . prototypes . puzzle . pvc hose . pvc pipe . pyramid . python . qshaper . rammed earth . random . raytrace . record history . region . reptile . responsive . reverse vector . reversing vector . revit . revit family . rhino . rhinonest . rhinopython . rhinoscript . rhombicosidodecahedron . rhombus . riemann . risingchair . rivet . robot . robotic arm . robotic fabrication . roof . rubber band . rule-based design . ruled surface . rumi . savoye . science . section . seljuk muqarnas . semi regular . shape grammars . shapeshifting . shortestpath . sierpinski . signal . sinan . sine . sketch . skin . slope . snowflake . snub . snubsquare . socolar . sofa . software development . solar position . solid . sound . space-filling . spacechase . spacefilling . space syntax . spatial allocation . spec . sphenoidhendecahedron . sphere . spiral . spline . square . star . stellated . stellated icosahedron . stellation . string . stripe . structure . student works . subdivision . subsurface . surface . surface paneling . survey . sweep . symbiosis . süleymaniye . table . taenia . tangent . tattoo . technology . tensegrity . terrain . tessellation . tetrahedron . tetrakaidecahedron . text . textile . the primitive hut . tiling . timer . toolbar . tool calibration . topography . topology . transformation . tree . triangle . triangulation . truchet . truncated cuboctahedron . truncatedicosahedron . truncated icosidodecahedron . truncated octahedron . truncated tetrahedron . truss . tube . twisted tower . unit vector . unity . unroll . variation . vasari . vb.net . vbnet . vector . vector addition . vectorfield . vector magnitude . vector multiplication . vector normalization . vectors . vector subtraction . villasavoye . virtual reality . visualization . visual programming . void . voronoi . waffle . waterbomb . water cube . wave . weaire-phelan . webcam . william huff . wind . window . wood . wood stick . wood sticks . Workshop . zumthor

               
copyright 2025 designcoding.net | about designcoding | privacy policy | sitemap | end-user license agreement