Remark: The Variable Baseof instances of SpatialLocationTypeare shown in the server-instance-examples as green arrows (acting as poor-mans-references) between the instances of CartesianFrameAngleOrientationType, which describe frames.

In the rendered images green coordinate systems define the positions of objects and red coordinate systems define attach points which could be added to objects. The base coordinate-system (WorldFrame) is blue.

An object is extended by the SpatialObject-Addin which provides (see Figure 13):

  • Its position regarding a defined coordinate system (WorldFrame):

The green coordinate system at the left foot of the table is the location of the table. It is defined by the PositionFrame of its SpatialObject, which describes the shift related to the WorldFrame.

It is assumed that the table is movable, so the Property Constant this PositionFrame is False. This table is moveable but will always be related to this WorldFrame, so ConstantBase of this PositionFrame is True.

  • Attach points of the object where other objects can be geometrically related:

The red coordinate system at the table corner can be defined as an attach-point of the table.

The blue arrow from the foot to the corner of the table shows the displacement (via a frame definition) from the table position to the table corner by the frame TableCorner. The red coordinate system defines the coordinate system of this attach point.

The table is rigid, so table corner does not change its position and so Constant and ConstantBase of this attach-point TableCorner are both True.

image020.png

Figure 13– Table modelled as per the RSL concept

The chess board is an own object (extended with the SpatialObjectType Addin) and is geometrically described with

  • its position regarding the attach-point of the table (TableCorner) by its PositionFrame.We assume that the chess board can be moved to another object (e.g. another table), so ConstantBase of the PositionFrame of the Chessboard is False.We assume that the chess board can be displaced on this table, so the Constant of this frame is False.

And the chess board can be brought in relationship to any other object, so the ConstantBase of this frame is False. So, if this chess board should be only moved on the table it might be hard related the table corner, so the ConstantBase would be True.

  • possible attach-points of the chess board. All field center positions (red coordinate systems on the right picture in Figure 14) can be described individually (xxCenterAP frames in Figure 15where xx indicates the field number).

based on the common coordinate system of the chess board (green coordinate system which is described by the chess board PositionFrame relative to the table corner)

image021.png

Figure 14– Table with chessboard containing fields

image022.png

Figure 15– Table with chessboard modelled as per the RSL concept

The brown knight piece is an own object (extended with the SpatialObjectType Addin) placed on field D7 (Figure 16), is positioned to the coordinate system of field D7 (red coordinate system) by a rotation of angle C counterclockwise in its position frame. (green coordinate system on field C7).

The head of the brown knight piece can be defined as own attach-point, of the figure because this might be a position to pick up this object.

An alternative frame for describing the position of the brown knight provides the knight´s position additionally related to the chess board position (PosToBoard based on the green coordinate system spanned up by the chess board´s PositionFrame).

For this example, the Properties of the PositionFrame of the brown knight are defined as:

  • ConstantBase = False, because when the knight is moved to another field the Base may change to the new field.
  • Constant = False, because the position and orientation relative to any Base will most likely change with every move.

image023.png image024.png

image025.png

Figure 16– Figures on the chessboard and their respective modelling with RSL

Note, that the chess pieces on the board are related directly to the chess board and not to fields of the chess board to show the flexibility of this concept.

  • In this example (Figure 17) there are no fields on a chess board defined as attach-points. So, the pieces on the board are related directly to the position of the board. So, the position frames of the brown horse, the brown king and the white king include the shift of X, Y and Z additionally to the rotation C (compared to example C.1.3using attach points for fields of a chess board).
  • The PositionFrame of the brown queen is related to the attach point of the table corner
  • The white king has an alternative position frame (WorldPosWK yellow) related to the WorldFrame.

image026.png image027.png

Figure 17– Model of the table with chessboard, figures on and off the chessboard