3D Printing & Parametric Design

Grasshopper Mini Challenge - Lilli and Nora

Things that we don’t entirely understand

Things we understand

Research on Voronoi 2D and Tessellations

Voronoi 2D

Definition - “In mathematics a Voronoi diagram is a partition of a plane into regions close to each of a given set of objects.”

Way of defining regions based on a collection of points
Usually produce cellular patterns, commonly seen in nature
Vornoi component inputs
- Points: A collection of points that will form the voronoi diagram
- Radius: an optional cell radius
- Boundary: can be used to contain the diagram
- Plane: optional plane for the voronoi diagram to sit on
Populate 2D component
- Creates a collection of points within a boundary
- Seed input is how grasshopper generates randomness
Vornoi measures the distance between existing points, find their midpoint, find the perpendicular line, between those points and creates a cell around neighboring points

Tessellations:

Definition: Tiling covering a surface or plane using one or more geometric shapes with no gaps or overlaps
In computer graphics, tessellation is the dividing of datasets of polygons (also known as vertex sets) presenting objects in a scene into suitable structures for rendering
- Subdivide surfaces into smaller shapes
How to use
- Assign surface to component (hexagonal, radial, etc)
- Manipulate the parameters of the design using number sliders
- Two outputs: cells and center
  - Centers controls the inner lining of the shape
- Assign domain to specific shape
  - This can allow tessellations on the surfaces of 3d objects in grasshoppers

Sources

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