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#!N
#!CSeaGreen #!N #!Rall648 gridpositions Keyword #!N
#!EC #!N #!N The #!F-adobe-times-bold-r-normal--18* gridpositions #!EF keyword is used to
represent an #!F-adobe-times-medium-i-normal--18* n #!EF -dimensional grid of geometrically regular points
in a compact form. It is a kind of Array Object
and can be used in any context where an Array Object
would be used. It is typically used as a regular positions
component. The shape of the grid (number of points in each
dimension) is specified by a list of #!F-adobe-times-medium-i-normal--18* n #!EF numbers
following the optional #!F-adobe-times-bold-r-normal--18* counts #!EF keyword in the #!F-adobe-times-bold-r-normal--18* object
#!EF clause. The number #!F-adobe-times-medium-i-normal--18* n #!EF of items in this
list determines the dimensionality of the grid. The last item in
this list corresponds to the fastest varying dimension. #!N #!N A
grid has an origin, which can be specified by an #!F-adobe-times-bold-r-normal--18*
origin #!EF clause (which lists the #!F-adobe-times-medium-i-normal--18* n #!EF coordinates of
the origin). If the #!F-adobe-times-bold-r-normal--18* origin #!EF clause is not present,
the #!F-adobe-times-bold-r-normal--18* origin #!EF defaults to 0. The #!F-adobe-times-bold-r-normal--18* origin #!EF
clause can be followed by #!F-adobe-times-medium-i-normal--18* n #!EF #!F-adobe-times-bold-r-normal--18* delta #!EF
clauses, listing the deltas for each dimension. Each #!F-adobe-times-bold-r-normal--18* delta #!EF
clause has #!F-adobe-times-medium-i-normal--18* n #!EF elements. The last #!F-adobe-times-bold-r-normal--18* delta #!EF
clause corresponds to the fastest varying dimension. #!Lex1,dxall626 h Example 1. A Regular Grid #!EL shows how to
use the #!F-adobe-times-bold-r-normal--18* delta #!EF clause to specify a grid in
which #!F-adobe-times-medium-i-normal--18* z #!EF varies fastest. If the #!F-adobe-times-bold-r-normal--18* delta #!EF
clauses are not specified, the deltas default to unit vectors in
each dimension, with the last dimension varying fastest. #!T,54 #!CForestGreen #!N
#!N #!F-adobe-courier-bold-r-normal--18* #!N #!F-adobe-times-bold-r-normal--18* object #!EF TAB #!F-adobe-times-bold-i-normal--18* number #!EF [
#!F-adobe-times-bold-r-normal--18* class #!EF ] #!F-adobe-times-bold-r-normal--18* gridpositions #!EF [ #!F-adobe-times-bold-r-normal--18* counts #!EF
] #!F-adobe-times-bold-i-normal--18* number... #!EF #!N TAB " #!F-adobe-times-bold-i-normal--18* name #!EF "
#!N #!F-adobe-times-bold-r-normal--18* origin #!EF TAB #!F-adobe-times-bold-i-normal--18* number ... #!EF #!N #!F-adobe-times-bold-r-normal--18*
delta #!EF TAB #!F-adobe-times-bold-i-normal--18* number ... #!EF #!N [ #!F-adobe-times-bold-r-normal--18* delta
#!EF TAB #!F-adobe-times-bold-i-normal--18* number ... #!EF ] #!N . #!N #!EF
#!N #!N #!EC #!N #!N The #!F-adobe-times-bold-r-normal--18* gridpositions #!EF keyword does
not actually correspond to a primitive Object type in the system,
but instead is a convenient way of representing an important special
case of the more general product (Product Array Object) of #!F-adobe-times-medium-i-normal--18*
n #!EF 1-dimensional Regular Arrays (Regular Array Objects). For most purposes
the #!F-adobe-times-bold-r-normal--18* gridpositions #!EF keyword is sufficient and more convenient. The
more primitive Regular and Product Arrays are described next. #!N #!N
#!N #!F-adobe-times-medium-i-normal--18* Next Topic #!EF #!N #!N #!Lall649,dxall650 h Regular Array Objects #!EL #!N #!F-adobe-times-medium-i-normal--18* #!N
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