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ArrayMesh—Wolfram Language Documentation

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• See Also
  • ArrayPlot
  • MatrixPlot
  • ArrayFlatten
  • MeshRegion
  • BoundaryMeshRegion
  • CellularAutomaton
• Related Guides
  • Mesh-Based Geometric Regions
  • Geometric Computation

ArrayMesh[array]

generates a mesh region from an array of rank d in which each cell has a geometric dimension d and represents a nonzero value of the array.

A 1D array mesh:

A 2D array mesh:

A 3D array mesh:

DataRange allows you to specify the range of mesh coordinates to generate:

Specify a different range:

DataReversed allows you to reverse the order of rows:

Reverse the order of rows:

MeshCellHighlight allows you to specify highlighting for parts of an ArrayMesh:

Individual cells can be highlighted using their cell index:

Or by the cell itself:

MeshCellLabel can be used to label parts of an ArrayMesh:

Individual cells can be labeled using their cell index:

Or by the cell itself:

MeshCellShapeFunction can be used to assign values to parts of an ArrayMesh:

Individual cells can be drawn using their cell index:

Or by the cell itself:

MeshCellStyle allows you to specify styling for parts of an ArrayMesh:

Individual cells can be highlighted using their cell index:

Or by the cell itself:

Give explicit color directives to specify colors for individual cells:

Use a theme with grid lines and a legend:

Use a theme to draw a wireframe:

A two-dimensional cellular automaton evolution:

Show a sequence of steps in the evolution of a 3D cellular automaton:

Use an outer-totalistic 2D cellular automaton to generate a maze-like pattern:

Show a "glider" in the Game of Life:

Patterns generated by a sequence of 2D nine-neighbor rules:

Mean cell values:

Convert a 2D image to a MeshRegion:

Cells and styles:

The mesh:

Convert a 3D image:

Cells and styles:

The mesh:

Generate a simple 2D pattern:

3D pattern:

More involved patterns:

Construct a Seidel mesh, i.e. a mesh region with tunnels going in every direction without crossing:

By converting to a boundary mesh and styling it, it becomes easier to comprehend:

A 1D Cantor mesh:

Length of the Cantor set at each stage:

The formula:

Steps in constructing a Cantor set:

Create an analogous 2D nested object:

3D Menger sponge:

Build a 2D chessboard:

3D chessboard:

Generate tetrominoes, shapes composed of four squares each:

Color tetrominoes:

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