Tessellate surfaces via polylines and meshes (2 hrs)

  • Intro
  • 01 | Construct a Gridshell from a Uniform Surface Parametrisation
  • 02 | Construct a Gridshell from a Non-Uniform Surface Parametrisation (math function control)
  • 03 | Construct Mesh Topology from a point grid
  • 04 | Construct Polyline Cells from a point grid
  • 05 | Generate a Diagrid through Polyline cells
  • 06 | Generate a Diagrid through Mesh faces
  • 07 | Generate topological variations of a Diagrid Mesh
  • 08 | Integrate Surface Parameterisation and Tessellation Scripts

Information

Primary software used Python
Software version 1.0
Course Tessellate surfaces via polylines and meshes (2 hrs)
Primary subject Parametric Modeling
Level Advanced
Last updated September 25, 2026
Keywords

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Tessellate surfaces via polylines and meshes (2 hrs) 0/8

Tessellate surfaces via polylines and meshes (2 hrs)

The goal of this tutorial is to develop gridshell and tessellation strategies using parametric surface control. Students will learn to construct gridshells from uniform and non-uniform surface parametrisations, generate mesh topologies and polyline cells, create diagrid structures, and explore topological variations. The tutorial focuses on translating continuous surfaces into discrete structural frameworks.

Tutorial Overview

Duration approx. 2 hrs.

The tutorial progressively covers:

  • 01 | Construct a Gridshell from a Uniform Surface Parametrisation
  • 02 | Construct a Gridshell from a Non-Uniform Surface Parametrisation (math function control)
  • 03 | Construct Mesh Topology from a point grid
  • 04 | Construct Polyline Cells from a point grid
  • 05 | Generate a Diagrid through Polyline cells
  • 06 | Generate a Diagrid through Mesh faces
  • 07 | Generate topological variations of a Diagrid Mesh
  • 08 | Integrate Surface Parameterisation and Tessellation Scripts

Tessellate surfaces via polylines and meshes (2 hrs) 1/8

01 | Construct a Gridshell from a Uniform Surface Parametrisation

Tessellate surfaces via polylines and meshes (2 hrs) 2/8

02 | Construct a Gridshell from a Non-Uniform Surface Parametrisation (math function control)

Construct a Gridshell from a Non-Uniform Surface Parametrisation (math function control)

Tessellate surfaces via polylines and meshes (2 hrs) 3/8

03 | Construct Mesh Topology from a point grid

Tessellate surfaces via polylines and meshes (2 hrs) 4/8

04 | Construct Polyline Cells from a point grid

Tessellate surfaces via polylines and meshes (2 hrs) 5/8

05 | Generate a Diagrid through Polyline cells

Tessellate surfaces via polylines and meshes (2 hrs) 6/8

06 | Generate a Diagrid through Mesh faces

Tessellate surfaces via polylines and meshes (2 hrs) 7/8

07 | Generate topological variations of a Diagrid Mesh

Tessellate surfaces via polylines and meshes (2 hrs) 8/8

08 | Integrate Surface Parameterisation and Tessellation Scripts