In this grasshopper example file, by remapping the mesh vertices and computing the sine of its values, we can define a mathematical surface.

In this grasshopper example file by defining a closed polyline and using the Kangaroo plugin you can create a parametric minimal surface.

In this grasshopper definition, you can model a Schwartz minimal surface by using the Jellyfish plugin.

In this grasshopper definition you can create a space filling fractal by generating grid of rectangles and applying a growth system to it.

In this grasshopper definition by creating series of circles and creating panels from each of them you can create a polar plaid pattern.

In this grasshopper definition, you can model a series of triangular extrusions by defining a simple polygon. Anemone plugin has been used for the recursive loop.

In this grasshopper definition, you can create a series of different forms and geometries by changing the domain of a trimmed Enneper surface.

In this grasshopper definition, you can model a Klein bottle using Parakeet's plugin. Then you can twist the mesh around an axis and finally create a contour from the mesh and extract the curves.

In this Grasshopper definition, you can model a parametric Enneper surface by using the Lunchbox Plugin and extracting the Iso-curves.

In this grasshopper definition by using the Parakeet's pattern genotype inside an hexagon, you can model a parametric pattern model.

In this grasshopper definition you can model a wavy like frame structure around a sphere. First we will extract the vertices of the sphere and then use a Sine*Cosine function to move them around.

In this grasshopper definition you can learn how to use the Millipede's geometry wrapper to model a mesh around a curve and control it with different parameters.

In this grasshopper definition first we model an Icosahedron by Weaverbird and then generate wave pattern on it by using Mesh+ Plugin. Finally you can also make the mesh thicker and smoother.

In this grasshopper definition by defining a base pattern you can generate a kaleidoscope by using the Parakeet plugin.

In this grasshopper definition, you can create noise on any surface by using the Tundra plugin. For example we have used the Mobius surface component by Lunchbox plugin.

In this grasshopper definition, by using the Fox & Pufferfish plugin you can model different expressions of minimal surfaces.

In this grasshopper definition, you can create a voxelized shell shape by subtracting two volumes and finally model a Triply Periodic Minimal Surface.

In this grasshopper definition you can create a 3d sine iso surface by using the Axolotl Plugin.

In this grasshopper definition by using standard minimal surface equations, you can create different minimal surfaces and also use Align vertices to avoid generating an invalid mesh.

In this grasshopper definition by using the PerlinNoise component of the Noise 4d plugin you can produce a changing value for a iso surface which is generated with Millipede.You can also subdivide the mesh surface to have a smoother result.

In this grasshopper definition you can create a surface which is based on the Chladni equation. You can also make the mesh faces colorful by a gradient and Subdivide the surface by Weaverbird plugin to have a smoother mesh.

In this grasshopper definition you can create a grid of boxes and change their oreintations by using the CurlNoise Component.

In this grasshopper definition you can use the "facet dome" component to cover a sphere with voronoi cells and then move the centroid in the normal direction to finish the model.Finally you can use the weaverbird plugin to smooth the geometry.

In this grasshopper definition by exploding a mesh sphere and by using the Pufferfish plugin you can extrude the faces towards their normals controlled by a sine wave.

In this definition you can model a fractal based on a square which builds two smaller squares on one of its edges.

In this definition you can make a fractal rotating polygon by using the Anemone plugin. First we are going to explode the curve to its segments and then evaluate a point on the edges. This recursive algorithm will produce the final rotating polygons.

In this grasshopper definition you can model the shadow of a hypercube(tesseract). In geometry, a hypercube is an n-dimensional analogue of a square and a cube.

In this grasshopper definition you can model a parametric 3d curve by giving a base curve.

In this grasshopper definition by using the 3d Maurer rose formula and combining it with Dendro plugin you can create a parametric form. In geometry, the concept of a Maurer rose was introduced by Peter M. Maurer.

In this grasshopper definition by creating relative tangent spheres which revolve around each other you can create different spirograph patterns in 3d space you can also use Dendro plugin to convert these complex curve to volume.

In this grasshopper definition by creating relative tangent circles which revolve around each other and create different spirograph patterns.

In this definition you can use the expression a*(sin^b)*(cos^c) to produce a parametric mathematical curve and then loft three of these curves to make the final surface.

In this grasshopper definition you can create the Lorenz attractor by using the differential equations and using the Anemone plugin to simulate the growing curve.

In this definition you can learn how to use the Point Polar in Grasshopper to Model the Rhodonea equations (sin((n/d)*x)). By changing the parameters you can produce different curves.

In this definition we have used the Anemone plugin to model the Apolloian fractal. In mathematics, an Apollonian gasket or Apollonian net is a fractal generated starting from a triple of circles, each tangent to the other two, and successively filling in more circles, each tangent to another three.

In this grasshopper definition we will model an Erwin Hauer pattern based on the "Still Facing Infinity" exhibition.

In this definition by using a parametric helix and modeling a series of triangles on the path you can make spiral spikes. You can also change the graphs to get different results.

In this example you can model a 3d sierpinski fractal by using the recrusive behaviour of the Anemone plugin and then you can use the weaverbird plugin to smooth the results.

In this Grasshopper Definition the isosurface component from the Millipede plugin has been used to create the isosurface mesh. Iso value defines the effective field around each point and merge vertices is set to true to produce smoother mesh around some corners.

In this grasshopper definition you can make pseudo reaction diffusion using Weaverbird Plugin. This grasshopper definition is inspired by Junichiro Horikawa.

In this Grasshopper Definition you can morph any geometry inside deformed cubic structure by using Pufferfish Plugin. The cubic structure is deformed by Enneper surface which is already made by Lunchbox plugin.

In this Grasshopper Definition you can make a series of Dipyramids on a Mobius strip by using the Weaverbird and Parakeet Plugin.

In this definition, you can use the Weaverbird's Dodecahedron component and smooth it with Catmull-Clark Subdivision. We will also use the Picture Frame component to change the faces offset distance.

By using the Subdivide Triangle component of Lunchbox Pluging you can model a simple Sierpinski Triangle in Grasshopper3d. Basically, this component Subdivides a triangle into self-similar cells. First, you have to give a closed triangular curve or surface to subdivide then by defining four different Booleans you can control the divisions. The first one controls the center triangle and the rest control the 3 adjacent triangle areas.

In this definition, you can use the Lunchbox plugin to produce a Klein surface in Grasshopper. You can also use an Isotrim component to extract a part of this surface.