3MF Core Specification v1 2 3
3MF Core Specification v1 2 3
3D Manufacturing Format
Version 1.2.3
Status Published
Disclaimer
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Table of Contents
        Preface
            About this Specification
              Document Conventions
              Language Notes
              Software Conformance
        Part I. 3MF Documents
        Chapter 1. 3MF Document Format
           1.1. Package
        Chapter 2. Parts and Relationships
           2.1. 3D Payload
              2.2. Part Naming Recommendations
              2.3. 3MF Document Markup
        Chapter 3. 3D Models
              3.1. Coordinate Space
              3.2. Relative Directions and Measurement
              3.3. 3D Matrices
              3.4. Model
        Chapter 4. Object Resources
           4.1. Meshes
              4.2. Components
        Chapter 5. Material Resources
           5.1. Base Material
        Chapter 6. 3MF Document Package Features
           6.1. Thumbnail
              6.2. Core Properties
              6.3. Digital Signatures
              6.4. Protected Content
        Part II. Appendixes
        Appendix A. Glossary
Preface
  The 3D Manufacturing Format, or 3MF, describes the set of conventions for the use of XML and other widely available
  technologies to describe the content and appearance of one or more 3D models. It is written for developers who are
  building systems to process 3MF content.
  A primary goal of this specification is to ensure the interoperability of independently created software and hardware
  systems that produce or consume 3MF content. This specification defines the formal requirements that producers and
  consumers must satisfy in order to achieve interoperability.
  This specification describes a 3D model and containing format called the 3MF Document. The format requirements are an
  extension of the packaging requirements described in the Open Packaging Conventions specification. That specification
  describes packaging and physical format conventions for the use of XML, Unicode, ZIP, and other technologies and
  specifications to organize the content and resources that make up any model. They are an integral part of the 3MF
  specification.
  Understanding this specification requires working knowledge of the Extensible Markup Language (XML) and XML
  Namespace specifications. Full understanding might also require domain knowledge of common terms and procedures
  within the 3D manufacturing sector, although every effort has been made to minimize such reliance.
  The 3MF Consortium offers a free to use open source implementation of this specification in order to allow an easy
  adoption of the format in applications handling 3D content.
  Part I, "3MF Documents," presents the details of the primarily XML-based 3MF Document format. This section describes
  the XML markup that defines the composition of 3D documents and the appearance of each model within the document.
  Part II, "Appendixes," contains additional technical details and schemas too extensive to include in the main body of the
  text as well as convenient reference information.
  The information contained in this specification is subject to change. Every effort has been made to ensure its accuracy at
  the time of publication.
Document Conventions
Except where otherwise noted, syntax descriptions are expressed in the ABNF format as defined in RFC 4234.
Replaceable items, that is, an item intended to be replaced by a value, are formatted in monospace cursive type.
Language Notes
  In this specification, the words that are used to define the significance of each requirement are written in uppercase. These
  words are used in accordance with their definitions in RFC 2119, and their respective meanings are reproduced below:
Preface                                                                                                                        2/32
        MUST. This word, or the adjective "REQUIRED," means that the item is an absolute requirement of the specification.
        SHOULD. This word, or the adjective "RECOMMENDED," means that there may exist valid reasons in particular
        circumstances to ignore this item, but the full implications should be understood and the case carefully weighed before
        choosing a different course.
        MAY. This word, or the adjective "OPTIONAL," means that this item is truly optional. For example, one implementation
        may choose to include the item because a particular marketplace or scenario requires it or because it enhances the
        product. Another implementation may omit the same item.
Software Conformance
Most requirements are expressed as format or package requirements rather than implementation requirements.
In order for consumers to be considered conformant, they must observe the following rules:
        They MUST NOT report errors when processing conforming instances of the document format except when forced to
        do so by resource exhaustion.
        They SHOULD report errors when processing non-conforming instances of the document format when doing so does
        not pose an undue processing or performance burden.
In order for producers to be considered conformant, they must observe the following rules:
        They MUST NOT generate any new, non-conforming instances of the document format.
        They MUST NOT introduce any non-conformance when modifying an instance of the document format.
  The 3MF Document format represents a 3D model, or a representation of one or more physical object descriptions in a
  markup format. A file that implements this format includes the fundamental information necessary for a consumer to
  generate a physical object through additive manufacturing or basic subtractive manufacturing techniques. This includes
  resources such as textures that might be required to reproduce the exact desired appearance in terms of color or internal
  structures in terms of materials.
  This format also includes optional components that build on the minimal set of components required to generate a physical
  object. This includes the ability to specify print job control instructions, to describe assembly of objects intended to be
  generated simultaneously in an interlocked or disjoint manner, among others.
  Finally, the 3MF Document format implements the common package features specified by the Open Packaging
  Conventions specification that support digital signatures and core properties.
1.1. Package
  The 3MF Document format MUST use a ZIP archive for its physical model. The Open Packaging specification describes a
  packaging model, that is, how the package is represented internally with parts and relationships.
The 3MF Document format includes a well-defined set of parts and relationships, each fulfilling a particular purpose in the
  An OPC package that holds a 3D payload and follows the rules described in this specification is referred to as a 3MF
  Document. Producers and consumers of 3MF Documents can implement their own parsers and manufacturing devices
  based on this specification.
2.1. 3D Payload
  A payload that has a 3D Model root part is known as a 3D payload. There can be more than one 3D payload in a 3MF
  Document, but only one primary 3D payload.
  A specific relationship type is defined to identify the root of a 3D payload within a 3MF Document: the 3MF Document
  StartPart relationship. The primary 3D payload root is the 3D Model part that is referenced by the 3MF Document StartPart
  relationship to find the primary 3D payload in a package. The 3MF Document StartPart relationship MUST point to the 3D
  Model part that identifies the root of the 3D payload.
  The payload includes the full set of parts required for processing the 3D Model part. All content to be used to manufacture
  an object described in the 3D payload MUST be contained in the 3MF Document. The parts that can be found in a 3MF
  Document are listed in Table 2-1. Relationships and content types for these parts are defined in Appendix C, "Standard
  Namespaces and Content Types." Each part MUST use an appropriate content type specified in Appendix C or in an
  extension specification to 3MF (see [2.3.1. Support for Versioning and Extensibility]).
  Parts included to the 3D payload are explicitly linked to the 3D payload root by relationship. 3MF Documents MUST NOT
  reference resources external to the 3MF Document package unless specified otherwise in an extension. For more
  information on relationships, see the Open Packaging Conventions specification.
  Parts in the 3D payload MUST use one of the appropriate relationships described below to establish that relationship
  between two parts in the payload. There MUST NOT be more than one relationship of a given relationship type from one
  part to a second part. Relationship types are defined in Appendix C, "Standard Namespaces and Content Types."
  Producers that generate a relationship MUST include the target part in the 3MF Document for any of the following
  relationship types: PrintTicket, StartPart, and Thumbnail. Consumers that access the target part of any relationship with
  one of these relationship types MUST generate an error if the part is not included in the 3MF Document.
    Core
                             The OPC part that contains various document properties.        Package        OPTIONAL
    Properties
    Digital
                             The OPC part that is the root of digital signatures in the
    Signature                                                                               Package        OPTIONAL
                             package.
    Origin
                                                                                            Digital
    Digital
                             OPC parts that each contains a digital signature.              Signature      OPTIONAL
    Signature
                                                                                            Origin
    Digital
                                                                                            Digital
    Signature                OPC parts that contain a digital signature certificate.                       OPTIONAL
                                                                                            Signature
    Certificate
Custom Parts OPC parts that are associated with metadata Package OPTIONAL
  The 3D Model part contains definitions of one or more objects to be fabricated by 3D manufacturing processes. The 3D
  Model part is the only valid root of a 3D payload.
  A 3D Model part has two sections: a set of resource definitions that include objects and materials, as well as a set of
  specific items to actually build. The content type of the 3D Model part is defined in Appendix C, "Standard Namespaces
  and Content Types."
  Thumbnails are small images that represent the contents of an entire 3MF Document. Thumbnails enable external agents
  to view the contents of the 3MF Document easily.
  Thumbnails MAY be defined for the entire package by referencing the thumbnail from the root model relationship file.
  Thumbnails MAY also be defined for individual objects by using the object thumbnail attribute. These thumbnail parts
  MUST be in either JPEG or PNG format.
All thumbnails in the 3MF document MUST be referenced by the thumbnail relationship.
For more information about the relationship type for thumbnail parts, see section C.2, Relationship Types.
  PrintTicket parts provide user intent and device configuration information to printing consumers. A PrintTicket part can be
  attached only to a 3D Model part and each 3D Model part MUST attach no more than one PrintTicket. The PrintTicket
  format is governed by the specific consumer environment. For example, for printing on Microsoft Windows, valid PrintTicket
  settings are specified in the Print Schema Keywords for 3D Manufacturing specification.
  If no PrintTicket is provided or the PrintTicket provided is not supported by the consumer, it is left to the consumer to apply
  its own defaults.
  Producers MAY add custom OPC parts to a 3MF package. For example, a software vendor may include annotations about
  an object referenced by a unique id.
  A MustPreserve relationship indicates that Consumers SHOULD save associated parts when modifying the 3MF file even if
  they do not understand how to process the data.
  Parts that must be preserved in this way MUST be associated with the package root through a MustPreserve relationship.
  If a custom OPC part is not referenced by a MustPreserve relationship then the consumer SHOULD NOT preserve these
  parts when modifying the 3MF as it is assumed they are no longer valid.
  Producers and consumers of 3MF Documents refer to parts by name and use relationship names to identify the purpose of
  related parts. The Open Packaging Conventions specification describes the syntax for part name. However, following these
  rules alone can result in a package that is difficult for users to understand. For example, a user would have to open every
  Relationship part to know which parts are necessary to accurately manufacture a 3MF Document.
  By choosing part names according to a well-defined, human-readable convention, the resulting package is easier to
  browse and specific parts are more easily located. Part names MUST still conform to the syntax specified in the Open
  Packaging Conventions specification.
It is RECOMMENDED that producers of 3MF Documents use the following part naming convention:
The 3D Model part name SHOULD contain two segments, the first being "/3D/" and the second with the extension
  Part names MUST use absolute paths, meaning all paths begin with "/". Part names MUST NOT be empty or lead with a
  period (e.g. "/3D/.png" or "/3D/").
  3MF Document markup has been designed to facilitate independent development of compatible systems that produce or
  consume 3MF Documents.
The design of 3MF Document markup reflects the tradeoffs between two, sometimes competing, goals:
    1. 3MF Document markup should be parsimonious; that is, it should include only the minimum set of primitive operations
        and markup constructs necessary to manufacture common 3D objects with full fidelity. Redundancy in the specification
        increases the opportunity for independent implementations to introduce accidental incompatibilities. Redundancy also
        increases the cost of implementation and testing, and, typically, the required memory component.
    2. 3MF Document markup should be compact; that is, the most common primitives should have compact
        representations. Bloated representations compromise the performance of systems handling 3MF Documents. As byte-
        count increases, so does communication time. Although compression can be used to improve communication time, it
        cannot eliminate the performance loss caused by bloated representations.
  3MF Document markup has been designed in anticipation of the evolution of this specification. It also allows third parties to
  extend the markup.
  Extensions are a critical part of 3MF, and as such, this core specification is as narrow as possible. Advanced features are
  built as extensions, using an a la carte model whereby producers can state explicitly which extensions are used (by
  declaring the matching XML namespace in the <model> element) and consumers can state explicitly which extensions they
  support, so other tools in the chain know which parts will be ignored. Versioning is accomplished concurrently, as the
  namespace will be updated to reflect a version change. Therefore versioning happens independently for the core spec and
  for each extension, and the version of each can be determined by checking its namespace.
  Extension specifications MUST include one or more targeted versions of this core specification to limit the number of
  possible configurations. Producers can specify certain extensions as required in a particular 3MF document, in which case
  consumers that do not support those extensions MUST fail to edit or manufacture that document, rather than ignoring the
  extension namespace.
  Within this core XSD schema (see Appendix B.1. 3MF XSD Schema), extension points have been explicitly entered in the
  form of <any> elements and <anyAttribute> (also visible in the element diagrams further along in this specification). These
  are required to come from other namespaces, which SHOULD point to a way to find the appropriate specification and
  accompanying XSD schema.
All XML content of the parts defined in this specification MUST conform to the following validation rules:
    1. XML content MUST be encoded using UTF-8. If any such part includes an encoding declaration (as defined in Section
       4.3.3 of the XML specification), that declaration MUST NOT name any encoding other than UTF-8.
    2. The XML 1.0 specification allows for the usage of Data Type Definitions (DTDs), which enabled denial of service
        attacks, typically through the use of an internal entity expansion technique. As mitigation for this potential threat, DTD
        content MUST NOT be used in the XML markup defined in this specification, and consumers SHOULD treat the
  3MF Document markup is an XML-based markup language that uses elements, attributes, and namespaces. The schema
  for 3MF Document markup includes only elements and their attributes, comments, and whitespace.
  The 3MF Document core XML namespace, the principal namespace used for elements and attributes in 3D Model part
  markup is given in Appendix C, "Standard Namespaces and Content Types". Any elements and attributes undefined in this
  spec must be prefaced with the namespace corresponding to the 3MF extension they belong to.
  As a reminder, a non-default XML namespace on an element DOES automatically apply to any attributes of that element
  (unless another namespace is prefixed), but DOES NOT apply to sub-elements, so they must all be individually prefixed.
  Any attributes falling into an anyattribute extension point MUST be prefixed with their corresponding namespace (as all
  such extension points specify "other" for the required namespace in the XSD schema).
2.3.4. Whitespace
  3MF Documents allow flexible whitespace usage in markup. Wherever a single whitespace character is allowed, multiple
  whitespace characters MAY be used. 3MF Document markup MUST NOT use the xml:space attribute. Additionally, where
  the 3MF Document schema specifies attributes of types that allow whitespace collapsing, leading and trailing whitespace in
  the attribute value MAY be used along with other whitespace that relies on the whitespace collapsing behavior specified in
  the XML Schema Specification.
2.3.5. Language
  The language of the contents of a 3MF Document (typically useful for content provided in metadata) MAY be identified
  using the xml:lang attribute, the value of which is inherited by child and descendant elements. This attribute is defined in
  the W3C XML specification. When the language of the contents is unknown, the value "und" (undetermined) MUST be
  used.
  Chapter 3. 3D Models
  The model, in this specification, refers to the object or objects to be created via 3D manufacturing processes as a single
  operation. It might include a single object, multiple homogenous objects, multiple heterogeneous objects, an object fully
  enclosed in another object, or multiple objects in an interlocked and inseparable assembly.
  Coordinates in this specification are based on a right-handed coordinate space. Producers and consumers MUST define
  and map the origin of the coordinate space to the bottom-front-left corner of the device's output field (such as a tray,
  platform, or bed), with the x-axis increasing to the right of the output field, the y-axis increasing to the back of the output
  field, and the z-axis increasing to the top of the output field. Producers and consumers MUST use the unit resolution of the
  coordinate space as specified in the <model> element.
  Relative directions in this specification are defined as follows. The term top refers to the XY plane of the coordinate space
  with the maximum printable Z value. The term bottom refers to the minimum printable XY plane of the coordinate space,
  defined as the XY plane with a Z value of 0. This is typically coincident with the print bed surface. The term left refers to the
  minimum printable YZ plane of the coordinate space, defined as the YZ plane with an X value of 0. The term right refers to
  the YZ plane of the coordinate space with the maximum printable X value. The term front refers to the minimum printable
  XZ plane of the coordinate space, defined as the XZ plane with a Y value of 0. The term back refers to the XZ plane of the
  coordinate space with the maximum printable Y value.
  These terms might also be applied to models, in which case they are defined relative to the bounding box of the model
  when transformed to the coordinate space defined in this specification.
Producers and consumers MUST interpret coordinates in relation to the coordinate space defined in this specification.
3.3. 3D Matrices
  When objects need to be transformed for rotation, scaling, or translation purposes, row-major affine 3D matrices (4x4) are
  used. The matrix SHOULD NOT be singular or nearly singular.
  Transforms are of the form, where only the first 3 column values are specified. The last column is never provided, and has
  the fixed values 0.0, 0.0, 0.0, 1.0. When specified as an attribute value, matrices have the form "m00 m01 m02 m10 m11
  m12 m20 m21 m22 m30 m31 m32" where each value is a decimal number of arbitrary precision.
  After applying all transforms to an object, the model SHOULD have positive volume and SHOULD be located in the
  positive octant of the coordinate space.
3.4. Model
Element <model>
@anyAttribute
  The <model> element is the root element of the 3D Model part. There MUST be exactly one <model> element in a 3D
  Model part. A model may have zero or more child metadata elements (see 3.4.1. Metadata for more information). A model
  must have two additional child elements: <resources> and <build>. The <resources> element provides a set of definitions
  that can be drawn from to define a 3D object. The <build> element provides a set of items that should actually be
  manufactured as part of the job.
  Producers SHOULD NOT require extensions unless the document would lose key meaning without the extension data.
  Allowing consumers to ignore unsupported extensions gives a more graceful fallback. Required extensions MAY
  supercede the requirements of the Core specification. However, the Core specification MUST be fully supported when
  used with optional extensions.
3.4.1. Metadata
Element <metadata>
Attributes
@anyAttribute
  Producers of 3MF Documents SHOULD provide additional information about the document in the form of metadata under
  the root <model> element.
  Metadata associated with the <model> MAY contain a set of well known values. Metadata in 3MF Documents without a
  namespace name MUST be restricted to names and values defined by this specification. If a name value is not defined in
  this specification, it MUST be prefixed with the namespace name of an XML namespace declaration on the <model>
  element that is not drawn from the default namespace.
The well-known metadata names and values defined by this specification include:
Application The name of the source application that originally created this document
  The optional "type" attribute allows for the value to be any data. The default value for type is assumed to be "xs:string". If
  type is not present, The value of the <metadata> value is assumed to be be any string. However, if type is specified, it
  MUST contain the name of a built-in Simple XML type representing the data contained in the value.
Simple XML types include any built-in primitive or derived XML types specified by the "xs:anySimpleType".
  Producers MUST NOT create multiple metadata elements with the same name. A Producer that wishes to interoperate with
  other Consumers SHOULD publish a namespace URI and a set of well-defined metadata names and expected content in
  order for Consumers to function in an expected fashion.
  Consumers SHOULD ignore any metadata with a name they do not recognize, typically from a future version of this
  specification or an unrecognized producer or target consumer.
  Producers MAY indicate that certain metadata values should be preserved using the preserve attribute. The default value
  is assumed to be 0 or false. When the preserve attribute is 1 or true, Consumers that modify the 3MF file SHOULD retain
  the original metadata value even if the data it references is modified. The metadata should be preserved through the
  lifetime of the element it is associated with. If an <Item> is removed, for example, the associated metadata should be
3.4.2. Resources
Element <resources>
  The <resources> element acts as the root element of a library of constituent pieces of the overall 3D object definition.
  Objects, properties and materials are collectively referred to as resources in this specification.
  Each resource might rely on other resources for its complete definition. For example, an object resource may refer to
  material resources, or even other object resources to fully describe a 3D object.
  An object resource represents a single 3D object that could be manufactured, but not necessarily will be manufactured.
  The objects that actually will be manufactured are referenced from an <item> element child of the <build> element. Objects
  are defined as resources primarily to aid in modularizing design and re-use of component, thus compacting the overall
  markup size.
Element <build>
  The <build> element contains one or more items to manufacture as part of processing the job. A consumer MUST NOT
  output any 3D objects not referenced by an <item> element.
Element <item>
Attributes
@anyAttribute
Elements
  The <item> element identifies one object resource to be output by the 3D manufacturing device. A consumer MUST apply
  the transform prior to outputting the object.
  The <item> element may contain a <metadatagroup> element containing one or more vendor-supplied <metadata>
  elements.
  A 3MF Document may include multiple objects to manufacture at the same time. The arrangement of these items in the
  build is considered a default; consumers MAY rearrange the items for manufacturing in order to better pack the build
  volume. Sometimes objects are arranged in the coordinate space so as to be manufactured in an interlocking fashion;
  producers of these objects SHOULD collect them as components (see 4.2. Components), as 3D manufacturing devices
  MUST NOT transform components of an object relative to each other.
  If the items overlap, 3D manufacturing devices MUST use the Positive fill rule (described in section 4.1.1) to resolve the
  ambiguity on the final geometry. If any of the overlapped items has a property defined, the resulting property on the
  overlapped volume is taken from the properties of the last overlapped item. If the last item has no properties defined in the
  overlapped volume, properties MUST NOT be applied.
Element <object>
@anyAttribute
Elements
  An object resource is defined by an <object> element. An <object> element has attributes for the property group and
  specific property member that are to be applied to the entire object, except where overridden by a descendant element,
  such as a <triangle> element or a component-referenced <object> element. If this object contains any triangles with
  assigned materials, the object MUST specify pid and pindex, to act as default values for any triangles with unspecified
  properties. If no properties are assigned at all, the choice for the properties of the object is left to the consumer.
  Object thumbnails MUST have an appropriate 3D Texturethumbnail relationship to the model part as described in section
  2.1.1. Consumers MAY find additional thumbnails associated with the 3D Texture relationship, for backwards compatibility.
  Producers MUST store thumbnails with the thumbnail relationship in an associated thumbnail part.
  Part numbers are intended as a way to keep track of objects which may have been modified during a tool chain. When
  editing or processing a 3MF document, these part numbers SHOULD be preserved to the greatest degree possible,
  duplicating them for objects split into pieces, removing them from objects that are combined, and maintaining them for
  objects that are modified.
4.1. Meshes
Element <mesh>
  The <mesh> element is the root of a triangular mesh representation of an object volume. It contains a set of vertices and a
  set of triangles.
        Manifold Edges: Every triangle edge in the mesh shares common vertex endpoints with the edge of exactly 1 other
        triangle.
        Consistent Triangle Orientation: Every pair of adjacent triangles within the mesh MUST have the same orientation of
        the face normal toward the exterior of the mesh, meaning that the order of declaration of the vertices on the shared
        edge MUST be in the opposite order. For example, if Triangle1 has vertices ABC and Triangle2 has vertices DEF and
        Triangle1 and Triangle2 share the AB/DE edge, then it MUST be the case that vertices A=E and vertices B=D (see
        figure 4-1 below). A triangle face normal (for triangle ABC, in that order) throughout this specification is defined as a
        unit vector in the direction of the vector cross product (B - A) x (C - A). For example, the triangles shown in figure 4-1
        have normals pointing out of the page. If the applied transformation has a negative determinant, the vertex ordering of
        those triangles MUST be inverted in order to preserve the sign of the volume.
        Outward-facing normals: All triangles MUST be oriented with normals that point away from the interior of the object.
        Meshes with negative volume will not be printed (or will become voids), in accordance with the Positive fill rule defined
        in the next section. In combination with the preceding two rules, a mesh is therefore a continuous surface without
        holes, gaps, open edges, or non-orientable surfaces (e.g. Klein bottle).
        Minimal self-intersections: Producers SHOULD NOT produce self-intersections or overlapping objects; consumers
        MUST accept self-intersecting meshes and overlapping objects, but treat "model" and "solidsupport" types as if filled
        with a Positive fill rule (see next section).
        Non-degeneracy: All triangles SHOULD have a non-zero area, as this will create numerical instabilities while
        calculating the triangle normal.
  Manufacturing devices MAY fill objects of type "model" or "solidsupport" either with solid material or an internal structure,
  possibly as specified in the print ticket. If the object is of type "support" the manufacturing device may decide - possibly
  taking into account print ticket parameters - the actual representation (e.g thickness) of the support. In any case, the
  manufacturing device MUST NOT fill this mesh.
  Objects of type "support" or "solidsupport" SHOULD only be referenced in an Object containing one or more components
  with type "model" they are supporting.
  Support structures (both "solidsupport" and "support" types) MAY be ignored or replaced by auto-generated support, but
  this is NOT RECOMMENDED.
  Because meshes may overlap or self-intersect, a fill rule must be specified to indicate what enclosed areas are "inside" the
  volume and which are "outside" the volume. The enclosed volume of a group of meshes is defined by applying the fill
  algorithm. Fill algorithms determine how the intersecting areas of geometric shapes are combined to form a region. A fill
  rule is defined identically in 2D as in 3D, so the examples here will show the 2D equivalent for simplicity of figures.
  Consumers MAY take advantage of this fact by applying the fill rule after slicing, thereby simplifying the algorithm by only
  having to operate in 2D. By convention, a 2D figure has positive area when wound counter-clockwise, so when looking
  along an edge, the local "outside" is to the right, equivalent to the local "outside" of a triangle being the direction of the
  normal.
  In 3MF, the fill rule applied is always the Positive fill rule, which determines the "insideness" of a point by drawing a ray
  from the point to infinity in any direction and then examining the places where it crosses the shape. Starting with a count of
  zero, add one each time the ray passes from the local "inside" to the local "outside" and subtract one for vice-versa. After
  counting the crossings, if the result is one or greater, then the point is globally inside the volume; otherwise, it is outside.
  Because a mesh may overlap to itself, an overlapping order must be specified to indicate which properties of the
  overlapping surface apply.
  When two triangles on the mesh surface overlap each other, the properties of the overlapped area are taken from the
  properties of the last overlapping triangle. If no properties are defined in the last overlapped triangle, properties SHOULD
  NOT be applied to the overlapped area of the triangle. To avoid this, 3MF producers SHOULD NOT create overlapping
  triangles.
4.1.3. Vertices
Element <vertices>
  The vertices element contains all the <vertex> elements for this object. The vertices represent the corners of each triangle
  in the mesh. The order of these elements defines an implicit 0-based index that is referenced by other elements, such as
  the <triangle> element. The producer SHOULD NOT include duplicate vertices unless coalescing duplicates would create
  non-manifold edges. Furthermore, a producer SHOULD collapse vertices that are very closely proximal with a single vertex
  whenever appropriate. In order to avoid integer overflows, a vertex array MUST contain less than 2^31 vertices.
4.1.3.1. Vertex
Element <vertex>
Attributes
@anyAttribute
  A <vertex> element represents a point in 3-dimensional space that is referenced by a triangle in the mesh. The decimal
  values representing the coordinates can be recorded to arbitrary precision. Producers SHOULD NOT use more precision
4.1.4. Triangles
Element <triangles>
  The <triangles> element contains a set of 1 or more <triangle> elements to describe a full 3D object mesh. If the object
  type is "model", the mesh has to contain at least 4 triangles to form a solid body. In order to avoid integer overflows, a
  triangle array MUST contain less than 2^31 triangles.
4.1.4.1. Triangle
Element <triangle>
Attributes
@anyAttribute
  The properties applied to each vertex (p1, p2, p3) allow property gradients to be defined across the triangle, where
  interpolation of the property is defined as the linear convex combination. A consumer that cannot create property gradients
  MUST apply the p1 property to the entire triangle. A consumer that cannot use properties on a per-triangle basis MUST
  ignore the triangle properties and use the <object> level property instead. If p1 is not specified then the default object
  property, if specified, is assigned to the triangle. If p2 or p3 is unspecified then p1 is used for the entire triangle.
  The property group is specified by the pid attribute, if different than the property group defined at the object-level. Since this
  is applied to the whole triangle, it implicitly forces the three properties to be from the same group, which implies they are of
  the same type, as defined by possible extensions to this spec.
  If the properties defined on the triangle are from a <basematerials> group (see Chapter 5), they MUST NOT form
  gradients, as interpolation of base materials is not defined in this core specification. Therefore p1, p2 and p3 MUST be
  equal or unspecified. Material gradients and interpolation methods are defined in extension specifications.
      Note: The triangle orientation is affected by the sign of the determinant of the transformation as described in Section
      4.1.
4.2. Components
Element <components>
  The <components> element acts as a container for all components to be composed into the current object. A component is
  an object resource that is used in the context of another object definition. Through the use of components, a producer can
  reduce the overall size of the 3MF Document. For example, if the 3MF Document describes a car 3D object, there may be
  a car object resource that uses 1 auto body component instance and 4 component instances of tire object resources, to
  place the wheels on the car's body object after applying the necessary rotation and translation (via transform).
  A 3D manufacturing device MUST respect the relative positions of the component objects; it MUST NOT transform them
  relative to each other except as specified in the document.
  If the components overlap, 3D manufacturing devices MUST use the Positive fill rule (described in section 4.1.1) to resolve
  the ambiguity on the final geometry. If any of the overlapped components has a property defined, the resulting property on
  the overlapped volume is taken from the properties of the last overlapped component. If the last component has no
  properties defined in the overlapped volume, properties MUST NOT be applied.
In order to avoid integer overflows, a components element MUST contain less than 2^31 components.
4.2.1. Component
Element <component>
Attributes
@anyAttribute
  A component selects a pre-defined object resource and adds it to the current object definition, after applying the provided
  matrix transform. This composition of an object definition from multiple primitive components can provide a very compact
  file size for a quite complex model. In keeping with the use of a simple parser, producers MUST define objects prior to
  referencing them as components.
Attributes
@anyAttribute
  A <basematerials> element is a material group that acts as a container for the base materials. The order of these elements
  forms an implicit 0-based index that is referenced by other elements, such as the <object> and <triangle> elements. Other
  types of property group elements can be added as extensions to this spec, due to the <any> element under resources.
  Each property group so defined MUST include an ID, and the IDs MUST be unique among all resources under Model.
  These groups allow different types of properties to be separated and organized, given the many possible extensions.
In order to avoid integer overflows, a material group MUST contain less than 2^31 materials.
Element <base>
Attributes
displaycolor ST_ColorValue required Specifies the sRGB color for rendering the material.
@anyAttribute
  A base material is used to define the specific material to be used for manufacturing certain objects in a model. In particular,
  support objects are often built from a different material than the non-sacrificial portion of the model.
  Since these materials can be applied at both the object and triangle level, they are technically only specifying the material
  at the surface of the object. Consumers may choose how the materials are distributed through the volume, so long as the
  surfaces have the specified materials.
  Base material names are intended to convey design intent and producers SHOULD avoid machine-specific naming in favor
  of more portable descriptions. Printer-specific information is intended to live in the Print Ticket, which includes a mapping
  from these base materials to actual printer materials. Base material names SHOULD be unique throughout the 3MF
  package.
     Note: The displaycolor property is meant to be used for rendering purposes only, and not for defining the actual
     material color of an object. A producer MUST NOT assume that displaycolor has any effect on the printed part.
  For specifying the color design intent for a printed part, a producer MUST specify color properties via the material and
  property extension or use another corresponding extension.
  An sRGB color MUST be specified with a value of a 6 or 8 digit hexadecimal number, e.g. "#RRGGBB" or "#RRGGBBAA"
  where RR is the red channel with values from 00-FF, GG is the green channel with values from 00-FF, BB is the blue
  channel with values from 00-FF, and AA is the alpha channel with values from 00 (completely transparent) to FF
  (completely opaque, the default if not specified).
Note: 3MF uses sRGB as specified by the World Wide Web Consortium (http://www.w3.org/Graphics/Color/sRGB)
6.1. Thumbnail
  The producer of a 3MF document MAY include a 2D thumbnail image representing the contents of the 3D payload. This
  image may be of content type image/jpeg or image/png, following the internal file format requirements described in the
  following subsections.
  This thumbnail has a relationship from the package root or object parts to the thumbnail image. The relationship type
  MUST be:
http://schemas.openxmlformats.org/package/2006/relationships/metadata/thumbnail
  The thumbnail can be accessed and displayed by external systems, such as the operating system's file explorer, a model
  browser, or a print queue preview utility.
  JPEG image parts MUST contain images that conform to the JPEG specification. Consumers SHOULD support JPEG
  images that contain APP0, APP2, APP13, and APP14 markers. Consumers MUST support JPEG images that contain the
  APP1 marker and interpret the EXIF color space correctly.
Note: If both APP2 and APP13 markers are specified, the APP2 marker takes precedence.
PNG image parts MUST contain images that conform to the PNG specification.
  The 3MF Document format relies on the Core Properties part, defined in the Open Packaging Conventions specification, to
  provide metadata about the creation time, modification time, author, search keywords, and other document-centric
  metadata. See the Open Packaging Conventions specification for additional details.
  3MF Documents may contain one or more digital signatures. A digital signature provides a mechanism to verify that a 3MF
  Document has not been tampered with since it was signed. The absence of a digital signature cannot prove that a 3MF
  Document was never signed.
  The Open Packaging Conventions specification provides full details of how digital signatures are applied in OPC packages.
  The Digital Signature Origin part acts as the root of the digital signature payload in the 3MF Document. Individual Digital
  Signature parts can be discovered via relationship from the Digital Signature Origin part. Each Digital Signature part can
  have either an inline digital certificate, or a reference to an external Digital Signature Certificate part in the package.
  A digital signature applied to the 3D Model part SHOULD include only the 3D Model part and any other parts referenced by
  it, along with the associated relationships. It MAY include the Thumbnail, Digital Signature Origin, Core Properties parts
  and associated relationship parts.
6.3.1. Normalization
  Before applying or verifying a digital signature on the contents of the 3D Model part, the XML therein MUST first be
  normalized, which is equivalent to XML canonicalization according to XML C14N requirements.
  This specification does not include any content protection mechanism of its own. However, it is recognized that for some
  workflows (e.g. those where a 3MF Document is stored as a stand-alone file), it is important to prevent an intercepting
  party from accessing 3D object details as they travel from the point of production or distribution through to the point of
  intended consumption on an authorized device or by an authorized application or user.
The Open Packaging Conventions specification provides full details of how content is protected in OPC packages.
  A consumer that is authorized to un-protect content by reversing the above steps MUST NOT re-save the content or
  enable the user to save the content in an unprotected fashion (regardless of file format) without the approval (written or
  programmatic) of the protection authority (which might or might not be the producer).
  Appendix A. Glossary
  3D matrix. A 4x4 affine matrix used for rotating, scaling, and translating an object in three-dimensional space.
  3D Texture part. A file used to apply complex information to a 3D object in the 3D Model part (undefined in this spec, but
  available for extensions).
  3MF. The 3D Manufacturing Format described by this specification, defining one or more 3D objects intended for output to
  a physical form.
  3MF Document. The digital manifestation of an OPC package that contains a 3D payload that conforms with the 3MF
  specification.
3MF Document StartPart relationship. The OPC relationship from the root of the package to the 3D Model part.
  Assembly. A model that contains two or more independently-defined objects that are connected or interlocked either
  during or after the 3D manufacturing process is complete. An assembly might be able to be reversed or the individual parts
  may be inseparably interlocked.
  Back. The maximum printable XZ plane of the print area or the correspondent maximum plane of a model bounding box,
  once transformed to the output coordinate space.
  Bottom. The minimum printable XY plane of the print area or the correspondent minimum plane of a model bounding box,
  once transformed to the output coordinate space.
Component. An object that is added as an intact shape to the overall definition of another object.
  Core properties. The well-defined set package (OPC) properties that define metadata about the package as a whole, such
  as the author, the last modified time, and so on.
  Digital signatures. A mechanism that, when present, can be used to validate that a part or payload has not been
  tampered with or changed since the digital signature was applied.
  Editor. A software, service, or device that both reads in and writes out 3MF Documents, possibly changing the content in
  between.
Fill rule. The algorithm used to determine whether any particular point is considered to be "inside" the geometry or not.
  Front. The minimum printable XZ plane of the print area or the correspondent minimum plane of a model bounding box,
  once transformed to the output coordinate space.
Material. The description of a physical substance that can be used to output an object.
Material resource. A potential resource that might be referenced by an object to describe what the object will be made of.
  Metadata. Ancillary information about some portion of the model, to provide more refined processing by knowledgeable
  producers or consumers.
  Model. The set of objects that are to be manufactured as part of a single job. This may include a single object, multiple
  instances of the same object, multiple different objects, or multiple objects in an assembly.
  Must preserve. A set of OPC parts that SHOULD be retained by a producer when rewriting or saving changes to this 3MF
  file specified by the MustPreserve relationship type.
  Object resource. A single 3D shape that could be output by a 3D manufacturing device or used as a component in
  another object resource.
  PrintTicket. The contents of a PrintTicket part. Conforms to the Print Schema Specification. It is RECOMMENDED to use
  the standard Print Schema Keywords for 3D Manufacturing when possible.
PrintTicket part. The PrintTicket part provides settings used when the 3MF Document is printed.
Primary 3D payload root. The 3D payload discovered by the 3MF Document StartPart relationship.
  Protection authority. The owner of the protection mechanism described by the protection type. This may be the producer
  that originally protected the file, the consumer that defines what protection mechanism will be accepted, or a third-party
  protection service, such as a digital rights management service.
  Protection namespace. The XML namespace that the protection type and associated metadata are drawn from. It is
  declared on the <model> element.
  Protection type. The qualified name for a protection mechanism that has been applied to the resources and textures of
  the 3MF Document. This could be as simple as an XOR obfuscation or as complex as a full digital rights management
  solution. The valid protection types are not defined in this specification and are implementation dependent.
  Resource. An object, material, or something else defined in an extension that could be used by another resource or might
  be necessary to build a physical 3D object according to build instructions.
  Right. The maximum printable YZ plane of the print area or the correspondent maximum plane of a model bounding box,
  once transformed to the output coordinate space.
  Support. Many 3D printers require scaffolding for overhanging areas in the model to keep them from collapsing or warping;
  this scaffolding is referred to as support.
Thumbnail. An image that helps end-users identify the contents of the package, expressed as a JPEG or PNG image.
Thumbnail part. The OPC part that contains the package thumbnail image.
  Top. The maximum printable XY plane of the print area or the correspondent maximum plane of a model bounding box,
  once transformed to the output coordinate space.
  XML namespace. A namespace declared on the <model> element, in accordance with the XML Namespaces
  specification.
    <xs:annotation>
     <xs:documentation><![CDATA[
      Schema notes:
     Items within this schema follow a simple naming convention of appending a prefix
   indicating the type of element for references:
      ]]></xs:documentation>
    </xs:annotation>
    <!-- Complex Types -->
    <xs:complexType            name="CT_Model">
     <xs:sequence>
      <xs:element        ref="metadata" minOccurs="0" maxOccurs="2147483647"/>
      <xs:element        ref="resources"/>
      <xs:element        ref="build"/>
      <xs:any     namespace="##other" processContents="lax" minOccurs="0" maxOccurs="2147483647"/>
     </xs:sequence>
     <xs:attribute        name="unit" type="ST_Unit" default="millimeter"/>
     <xs:attribute        ref="xml:lang"/>
     <xs:attribute        name="requiredextensions" type="xs:string"/>
     <xs:anyAttribute           namespace="##other" processContents="lax"/>
    </xs:complexType>
    <xs:complexType            name="CT_Resources">
     <xs:sequence>
      <xs:choice       minOccurs="0" maxOccurs="2147483647">
        <xs:element       ref="basematerials" minOccurs="0" maxOccurs="2147483647"/>
        <xs:any     namespace="##other" processContents="lax" minOccurs="0" maxOccurs="2147483647"/>
      </xs:choice>
      <xs:element        ref="object" minOccurs="0" maxOccurs="2147483647"/>
     </xs:sequence>
     <xs:anyAttribute           namespace="##other" processContents="lax"/>
    </xs:complexType>
    <xs:complexType            name="CT_Build">
     <xs:sequence>
      <xs:element        ref="item" minOccurs="0" maxOccurs="2147483647"/>
     </xs:sequence>
     <xs:anyAttribute           namespace="##other" processContents="lax"/>
    </xs:complexType>
    <xs:complexType            name="CT_BaseMaterials">
     <xs:sequence>
      <xs:element        ref="base" maxOccurs="2147483647"/>
     </xs:sequence>
3D Model application/vnd.ms-package.3dmanufacturing-3dmodel+xml
PrintTicket application/vnd.ms-printing.printticket+xml
StartPart http://schemas.microsoft.com/3dmanufacturing/2013/01/3dmodel
Thumbnail http://schemas.openxmlformats.org/package/2006/relationships/metadata/thumbnail
PrintTicket http://schemas.microsoft.com/3dmanufacturing/2013/01/printticket
MustPreserve http://schemas.openxmlformats.org/package/2006/relationships/mustpreserve
C.3 Namespaces
3D Model http://schemas.microsoft.com/3dmanufacturing/core/2015/02
  References
  BNF of Generic URI Syntax
JPEG
  Hamilton, Eric. "JPEG File Interchange Format, Version 1.02." World Wide Web Consortium. 1992.
  http://www.w3.org/Graphics/JPEG/jfif3.pdf
PNG
  Duce, David (editor). "Portable Network Graphics (PNG) Specification," Second Edition. World Wide Web Consortium.
  2003. http://www.w3.org/TR/2003/REC-PNG-20031110
Print Schema
RFC 2119
  Bradner, S. "Key words for use in RFCs to Indicate Requirement Levels." The Internet Society. 1997. http://www.rfc-
  editor.org
RFC 3066
Alvestrand, H. "Tags for the Identification of Languages." The Internet Society. 2001. http://www.rfc-editor.org
sRGB
  Anderson, Matthew, Srinivasan Chandrasekar, Ricardo Motta, and Michael Stokes. "A Standard Default Color Space for
  the Internet-sRGB, Version 1.10." World Wide Web Consortium. 1996. http://www.w3.org/Graphics/Color/sRGB
Unicode
  The Unicode Consortium. The Unicode Standard, Version 4.0.0, defined by: The Unicode Standard, Version 4.0. Boston,
  MA: Addison-Wesley, 2003.
XML
  Bray, Tim, Eve Maler, Jean Paoli, C. M. Sperlberg-McQueen, and François Yergeau (editors). "Extensible Markup
  Language (XML) 1.0 (Fourth Edition)." World Wide Web Consortium. 2006. http://www.w3.org/TR/2006/REC-xml-
  20060816/
XML C14N
Boyer, John. "Canonical XML Version 1.0." World Wide Web Consortium. 2001. http://www.w3.org/TR/xml-c14n.
XML Namespaces
  Bray, Tim, Dave Hollander, Andrew Layman, and Richard Tobin (editors). "Namespaces in XML 1.0 (Second Edition)."
  World Wide Web Consortium. 2006. http://www.w3.org/TR/2006/REC-xml-names-20060816/
XML Schema
  Beech, David, Murray Maloney, Noah Mendelsohn, and Henry S. Thompson (editors). "XML Schema Part 1: Structures,"
  Second Edition. World Wide Web Consortium. 2004. http://www.w3.org/TR/2004/REC-xmlschema-1-20041028/
  Biron, Paul V. and Ashok Malhotra (editors). "XML Schema Part 2: Datatypes," Second Edition. World Wide Web
  Consortium. 2004. http://www.w3.org/TR/2004/REC-xmlschema-2-20041028/