Parametric Mathematical

3D Boxes
3D Boxes
In this grasshopper2 example, you can generate a series of 3D-boxes parametrically.
3d graphic statics Table
3d graphic statics Table
In this grasshopper example file you can use the 3d graphic statics Plug-in to convert a Pyramid int...
3D Maurer Rose
3D Maurer Rose
In this grasshopper definition by using the 3d Maurer rose formula and combining it with Dendro plug...
3D Scissor Mechansim
3D Scissor Mechansim
In this grasshopper example file, you can simulate a 3D scissor structure by using the Linketix plug...
3D Sine Iso Surface
3D Sine Iso Surface
In this grasshopper definition you can create a 3d sine iso surface by using the Axolotl Plugin.
Aggregated Polygons
Aggregated Polygons
In this grasshopper example file, you can genterate a 2D aggregation of polygons and create differen...
Anemone Scissor Structure
Anemone Scissor Structure
In this grasshopper example, you can model a deployable scissor structure with variable elements par...
Apollonian Fractal
Apollonian Fractal
In this definition we have used the Anemone plugin to model the Apolloian fractal. In mathematics, a...
Beijing Tower
Beijing Tower
In this grasshopper example file you can model a parametric tower inspired by the Beijing Tower.
Branching Spiral
Branching Spiral
In this grasshopper example file you can model a spiral and then use the L-systems patterns (Rabbit...
Bullant Tessellation
Bullant Tessellation
In this Grasshopper Example File, you can generate different Tessellation Types by using the Bullant...
Chaotic Pattern
Chaotic Pattern
In this Grasshopper Example File, you can model a Three Scroll Unified Chaotic pattern with Using th...
Chladni Surface
Chladni Surface
In this grasshopper definition you can create a surface which is based on the Chladni equation. You...
Curl Noise
Curl Noise
In this grasshopper definition you can create a grid of boxes and change their oreintations by using...
Curve Mapping
Curve Mapping
In this grasshopper definition by using the Parakeet’s pattern genotype inside an hexagon, you can m...
Dendro Twisted Array
Dendro Twisted Array
In this grasshopper example file you can create a twisting voxelized form using the Dendro plugin.
Deployable Membrane Structure
Deployable Membrane Structure
In this grasshopper example, you can model a deployable membrane structure parametrically using the...
Differential Growth Necklace
Differential Growth Necklace
In this Grasshopper Example File, you can model a Differential Growth Necklace by using the SDPlatfo...
Dini Lamp Shade
Dini Lamp Shade
In this grasshopper example file, you can generate a parameric Lamp Shade based on the Dini’s Surfac...
Enneper Morph
Enneper Morph
In this Grasshopper Definition you can morph any geometry inside deformed cubic structure by using P...
Enneper Surface
Enneper Surface
In this Grasshopper example file you can model a parametric Enneper surface by using the Lunchbox Pl...
Enneper Surface Attractor
Enneper Surface Attractor
In this grasshopper example, you can extract a series of curves on an Enneper surface by using a poi...
Enneper Twist
Enneper Twist
In this grasshopper definition, you can create a series of different forms and geometries by changin...
Expression Surface
Expression Surface
In this definition you can use the expression a*(sin^b)*(cos^c) to produce a parametric mathematical...
Fibonacci Stairs
Fibonacci Stairs
In this grasshopper example file, you can design a parametric staircase inspired by the fibonacci se...
fractal tree
fractal tree
In this grasshopper example file you can model a Fractal Based tree using L-systems .
Gear Simulation
Gear Simulation
In this grasshopper example, you can create series of parametric gears and simulate them using the L...
Gear Simulation 03
Gear Simulation 03
In this grasshopper example file, you can model an Iris mechanism and simlulate it using the Linketi...
Geometry Wrapper
Geometry Wrapper
In this grasshopper definition you can learn how to use the Millipede’s geometry wrapper to model a...
Growing Ring
Growing Ring
In this grasshopper example, you can model a ring inspired by the differential growth algorithm.
Gyroid Shoe Sole
Gyroid Shoe Sole
In this grasshopper example file you can model a parametric shoe sole With a gyroid pattern using th...
Halvorsen Pattern
Halvorsen Pattern
In this Grasshopper Example File, you can model a Halvorsen 3D pattern by Using the Chimpanzee Plugi...
Hamiltonian Path
A Hamiltonian path is a path in an undirected or directed graph that visits each vertex exactly once...
Helicoid Waffle
Helicoid Waffle
In this grasshopper example file, you can model a parametric pavilion based on the mathematical expr...
Hexagonal Escher Pattern
Hexagonal Escher Pattern
In this grasshopper example file, you can design a hexagonal Escher pattern on a surface by using th...
Hexagonal Staircase
Hexagonal Staircase
In this grasshopper file you can create a parametric radial hexagonal staircase by using the Pufferf...
Hypercube
Hypercube
In this grasshopper definition you can model the shadow of a hypercube(tesseract). In geometry, a hy...
Intertwined Iso Surface
Intertwined Iso Surface
In this grasshopper definition, you can model a Schwartz minimal surface by using the Jellyfish plug...
Iso-surface Millipede
In this Grasshopper Definition the isosurface component from the Millipede plugin has been used to c...
Kaleidoscope Pattern
Kaleidoscope Pattern
In this grasshopper definition by defining a base pattern you can generate a kaleidoscope by using t...
Kangaroo Mechanism
Kangaroo Mechanism
In this grasshopper example, you can model an Archimedes Machine parametrically by using the Kangaro...
Kinetic Iso Surface
In this grasshopper definition by using the PerlinNoise component of the Noise 4d plugin you can pro...
Klein Surface
Klein Surface
In this definition, you can use the Lunchbox plugin to produce a Klein surface in Grasshopper. You c...
Leg Mechanism
Leg Mechanism
In this grasshopper example file you can use the Kangaroo2 plugin to simulate a parametric Leg Mecha...
Linkage Mechanism
Linkage Mechanism
In this grasshopper example, you can model a linkage mechanism parametrically Similar to the bird’s...
Linkage Mechanism 01
In this grasshopper example, you can create a linkage machanism with a set of hexogonal & trinaglula...
In popular media the ‘BUTTERFLY EFFECT’ stems from the real-world implications of the Lorenz attractor, i.e. that in any physical system, in the absence of perfect knowledge of the initial conditions (even the minuscule disturbance of the air due to a butterfly flapping its wings), our ability to predict its future course will always fail. This underscores that physical systems can be completely deterministic and yet still be inherently unpredictable even in the absence of quantum effects. The shape of the Lorenz attractor itself, when plotted graphically, may also be seen to resemble a butterfly.(wikipedia)
Lorenz Attractor
In this grasshopper definition you can create the Lorenz attractor by using the differential equatio...
Marsk Tower
Marsk Tower
In this grasshopper example file you can model the Marsk Tower parametrically.
Mathematical Surface
Mathematical Surface
In this grasshopper example file, by remapping the mesh vertices and computing the sine of its value...
Mesh Pattern
Mesh Pattern
In this grasshopper example, you can generate a parametric curve pattern from a colored mesh.
Minimal Surface
Minimal Surface
In this grasshopper definition by using standard minimal surface equations, you can create different...
Minimal Surface Alternatives
Minimal Surface Alternatives
In this grasshopper definition, by using the Fox & Pufferfish plugin you can model different exp...
Minimal Surface from Edges
Minimal Surface from Edges
In this grasshopper example file you can model a minimal surface from a polygon or a mesh using the...
Minimal Surface from Edges
Minimal Surface from Edges
In this grasshopper example file by defining a closed polyline and using the Kangaroo plugin you can...
Mobius Dipyramid
Mobius Dipyramid
In this Grasshopper Definition you can make a series of Dipyramids on a Mobius strip by using the We...
Noise on Surface
In this grasshopper definition, you can create noise on any surface by using the Tundra plugin. For...
Optimized Roof
In this Grasshopper example file you can use The tOpos Plugin to model an optimized column for a roo...
Optimized Suspension Bridge
Optimized Suspension Bridge
In this grasshopper example file you can use the tOpos plugin to optimize a suspension bridge.
Panelized Torus
Panelized Torus
In this grasshopper2 example, you can model a Torus with jagged faces parametrically.
Parametric Lamp
Parametric Lamp
In this grasshopper example file, you can design a parametric lamp shade using circular curves proje...
Parametric Pavilion
Parametric Pavilion
In this grasshopper example file, you can model a parametric pavilion by combining a series of arcs...
Parametric Sine Tower
Parametric Sine Tower
In this grasshopper file you can create a polygonal-based wavy tower by applying a sine function to...
Parametric Stool
Parametric Stool
In this grasshopper example, you can model a parametric wooden stool with interlocking pieces.
Parking Algorithm
Parking Algorithm
In this Grasshopper Example File, you can generate different Scenarios for Designing Parking slots b...
Pixelized Sphere
Pixelized Sphere
In this grasshopper definition by exploding a mesh sphere and by using the Pufferfish plugin you can...
Polar Plaid Pattern
Polar Plaid Pattern
In this grasshopper definition by creating series of circles and creating panels from each of them y...
Polygon Subdivision
Polygon Subdivision
In this grasshopper definition, you can model a series of triangular extrusions by defining a simple...
Radial Gear
Radial Gear
In this grasshopper example, you can create series of radial gear modules which can be simulated by...
Radial Scissor Linkage
Radial Scissor Linkage
In this grasshopper example, you create a parametric radial scissor mechanism by using the Linketix...
Rhodonea Equation
Rhodonea Equation
In this definition you can learn how to use the Point Polar in Grasshopper to Model the Rhodonea equ...
Rolling Circles Spirograph
In this grasshopper definition by creating relative tangent circles which revolve around each other...
Rolling Sphere Spirograph
Rolling Sphere Spirograph
In this grasshopper definition by creating relative tangent spheres which revolve around each other...
Rotating Linkage Mechanism
Rotating Linkage Mechanism
In this grasshopper example file, you can model a parametric spirograph by simulating a linkage mech...
Sierpinski Pyramid
Sierpinski Pyramid
In this example you can model a 3d sierpinski fractal by using the recrusive behaviour of the Anemon...
Sierpinski Triangle
Sierpinski Triangle
By using the Subdivide Triangle component of Lunchbox Pluging you can model a simple Sierpinski Tria...
Simple Polygon
Simple Polygon
In this definition you can make a fractal rotating polygon by using the Anemone plugin. First we are...
Sine Wave Facade
Sine Wave Facade
In this grasshopper example file you can create a parametric wave-like facade by using the sine func...
Sine Wave Shade
Sine Wave Shade
In this Grasshopper example file You can use the native Grasshopper components to model a sine wave...
Sine*Cosine Frames
Sine*Cosine Frames
In this grasshopper definition you can model a wavy like frame structure around a sphere. First we w...
Space Colonization
Space Colonization
In this grasshopper script you can create a tree like structure with the space Colonization Algorith...
Space Filling Fractal
Space Filling Fractal
In this grasshopper definition you can create a space filling fractal by generating grid of rectangl...
Spherical Helix
Spherical Helix
In this grasshopper example file you can model a parametric Spherical Helix and then use the PufferF...
Spiral Spikes
Spiral Spikes
In this definition by using a parametric helix and modeling a series of triangles on the path you ca...
Star Polygon
Star Polygon
In this example file you can use Grasshopper 2.0 to create a series of polygon stars in the Z direct...
Stereographic Projection
Stereographic Projection
In this grasshopper example file you can create a stereographic projection by using 4 different appr...
Ternary Tower
Ternary Tower
In this Grasshopper Example File, you can design a parametric building Inspired by the Ternary Tower...
Twisted Klein Bottle
Twisted Klein Bottle
In this grasshopper definition, you can model a Klein bottle using Parakeet’s plugin. Then you can t...
Two Fold Table
Two Fold Table
In this grasshopper example, you can model a Two Fold Table parametrically inspired by the design fr...
Two layer Mechanism
Two layer Mechanism
In this grasshopper example, you can create a two layer mechanism with a series of Three-Pointed mod...
Two-Layer linkage
Two-Layer linkage
In this grasshopper example, you can create series of two-layer linkage mechanisms using the Linketi...
Voronoi Relaxation
Voronoi Relaxation
In this grasshopper example file, you can create a Voronoi Pattern inside a curve and then change th...
Voronoi Tower
Voronoi Tower
In this grasshopper example file, you can create random Voronoi 3D cells and then use the attractor...
Voronoi Virus
Voronoi Virus
In this grasshopper definition you can use the “facet dome” component to cover a sphere with voronoi...
Wave form
Wave form
In this grasshopper2 example file, you can generate a parametric wave form with native components.
Wave on Icosahedron
In this grasshopper definition first we model an Icosahedron by Weaverbird and then generate wave pa...
Wave-form Lamp
Wave-form Lamp
In this Grasshopper example file you can use the native Grasshopper components to deform a set of ci...
Weaverbird Dodecahedron
Weaverbird Dodecahedron
In this definition, you can use the Weaverbird’s Dodecahedron component and smooth it with Catmull-C...