Discretize a 2D special region including Circle:

Parallelogram:

Discretize Graphics with GraphicsComplex containing Point, Line, and Polygon:

Discretize Graphics with GraphicsComplex containing Rectangle, Circle, and Disk:

Discretize only those primitives that match a pattern:

Discretize primitives with dimension less than 2:

Discretize All primitives:

Bounded piecewise linear Graphics primitives can be represented exactly:

Unbounded piecewise linear Graphics primitives can only be represented within a finite range:

Nonlinear Graphics primitives can only be approximately represented:

Graphics involving GraphicsComplex:

Use MaxCellMeasure to control the level of discretization:

Discretize 3D special regions including Cone:

Prism:

Discretize Graphics3D with GraphicsComplex containing Point, Line, and Polygon:

Discretize a whole Graphics3D scene, where multiple primitives are taken as a union:

Discretize only those primitives that match a pattern:

Discretize primitives with dimension less than 2:

Discretize All primitives:

Bounded piecewise linear Graphics3D primitives can be represented exactly:

Unbounded Graphics3D primitives can only be represented within a finite range:

Nonlinear Graphics3D primitives can only be approximately represented:

Ensure that the discretized boundary representation is close to the boundary:

Discretize with a maximum cell area of 0.1:

This gives the area of the cells:

Discretize with a maximum cell volume of 0.1:

A Histogram of the cell volumes:

Compare different length settings:

Compare different area settings:

Compare different face area settings:

Compare different volume settings:

MeshCellHighlight allows you to specify highlighting for parts of a MeshRegion:

Individual cells can be highlighted using their cell index:

Or by the cell itself:

MeshCellLabel can be used to label parts of a MeshRegion:

Label the vertices and edges of a parallelogram:

Individual cells can be labeled using their cell index:

Or by the cell itself:

MeshCellMarker can be used to assign values to parts of a MeshRegion:

Use MeshCellLabel to show the markers:

MeshCellShapeFunction allows you to specify functions for parts of a MeshRegion:

Individual cells can be drawn using their cell index:

Or by the cell itself:

MeshCellStyle allows you to specify styling for parts of a MeshRegion:

Individual cells can be highlighted using their cell index:

Or by the cell itself:

Automatic includes the entire range of a finite region:

Automatic includes a partial range of an infinite region:

Explicit settings are respected:

Unless overridden:

Focus region of interest:

Clipping a solid primitive results in a solid primitive; otherwise, interiors are exposed:

Use a theme with grid lines and a legend:

Use a theme to draw a wireframe:

Compare the results for each setting of PrecisionGoal: