Geometries

1Integrate geometries can be points, lines, polygons/areas, polyhedral surfaces or solids. Each of these can single part or multi-part geometries.

Geometries can be defined in terms of dimension (i.e. the degrees of freedom within it, not to be confused with the number of ordinates stored on the vertices) and whether it has an interior or exterior.

Geometry

Dimensions

Interior

Exterior

Boundary

Description

Point

0

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A point is a 0-dimensional geometry that has an interior and an exterior, but no boundary.

Line

1

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A line is a 1-dimensional geometry that has an interior, an exterior, and a boundary.

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If the line is a closed ring, there is no boundary (as the boundary is at the end points of a line).

Polygon/Area

2

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An area is a 2-dimensional geometry that has an interior, an exterior, and a boundary. The boundary of a polygon is a line which defines the outer ring and, if the polygon has holes, then the boundary also includes inner rings.

Polyhedral Surface

2

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A polyhedral surface is a contiguous set of planar 3D area/polygons which forms an open ‘shell’. It's boundary is a 3D line and it has no calculable volume, only an area.

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If a polyhedral surface is closed then it forms a closed shell, which has no boundary and which can be used to create a solid. The interior is the surface and not the space enclosed by the closed ‘shell’, it has no calculable volume, only an area.

Solid

3

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A solid is formed by its polyhedral surface boundary and its interior is everything enclosed by the shell. A solid has a calculatable volume.

     Note: For multi-part geometries, the interior or boundary is the union of the interiors or boundaries of all parts.

Geometry Model

The model demonstrates how geometries relate to each other, and can be used as a guide when building Rule and Action logic.

The Geometry Model diagram

     Example: Using the diagram, you can see that calling the boundary built-in for a polygon will return a line with one or more parts (one line for each inner or outer ring).