OFF (.off, .coff)


    • OFF 3D geometry format.
    • Used for storing and exchanging 3D models.
    • OFF is an acronym for Object File Format.
    • Occasionally called COFF if color information is present.
    • Related to NOFF and CNOFF.
    • ASCII or binary format.
    • Represents a single 2D or 3D object.
    • Stores a collection of planar polygons with possibly shared vertices.
    • Supports polygon and vertex colors and opacity specifications.

Import & Export

  • Import[""] imports an OFF file as a MeshRegion object representing the surface.
  • Import["",elem] imports the specified element from an OFF file.
  • The import format can be specified with Import["file","OFF"] or Import["file",{"OFF",elem,}].
  • Export["",expr] exports a 3D mesh-based geometric region to a binary OFF file. The expr can be any region that is ConstantRegionQ or a Graphics or Graphics3D object.
  • Export["",expr,{opt1->val1,}] exports expr with the specified options for the file format.
  • The export format can be specified with Export["file",expr,"OFF"] or Export["file",expr,{"OFF",opt1->val1,}].
  • See the reference pages for full general information on Import and Export.
  • ImportString and ExportString support the OFF format.

Import Elements

  • General Import elements:
  • "Elements"list of elements available in this file
    "Rules"list of rules for each element
    "Options"list of options and settings
    "Summary"summary of properties
    "CoordinateTransform"transformation function from OFF format
  • Data format representation elements:
  • "BinaryFormat"whether the file is a binary or ASCII OFF
    "VertexData"list of vertex coordinates
    "PolygonData"the polygon elements in indexed form
    "VertexColors"colors associated with each vertex
    "PolygonColors"face color information for each polygon
  • Geometry representation elements:
  • "BoundaryMeshRegion"boundary mesh representation of the solid
    "MeshRegion"mesh representation of the surface
  • Graphics representation elements:
  • "Graphics"2D OFF file represented as a Graphics object
    "Graphics3D"3D geometry represented as a Graphics3D object
    "GraphicsComplex"OFF file as a GraphicsComplex object
    "PolygonObjects"list of Polygon primitives given in absolute coordinates


  • Export options:
  • "BinaryFormat"Truewhether to write a binary or ASCII file


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Basic Examples  (2)

Import a 3D model from OFF as a MeshRegion object:

Click for copyable input

Summary properties of the model:

Click for copyable input

Export a 3D model to an OFF file:

Click for copyable input

Print the raw textual contents of the file:

Click for copyable input

Scope  (13)

Import Elements  (11)

Export Options  (2)

Introduced in 2007
Updated in 2015