Construct a conformal coordinate space to make body-fitted implicit patterns and
lattices.

Use lines, curves, and surfaces to construct a coordinate space that conforms to the
defined geometry. This can be used with Implicit Pattern and Lattice tools to make
them body-fitted instead of being aligned to conventional coordinate directions
(Cartesian, Cylindrical, and Spherical).

Conformal Coordinate Spaces for Pattern Operations

The general workflow for a conformal pattern is as follows:

Construct the geometry from which the conformal coordinate space
will be constructed (lines, curves, and BRep surfaces).

Construct the implicit body that will be patterned across the
conformal coordinate space.

Create or select the conformal coordinate space from within the
Pattern context.

Make any edits to U, V and W parametric coordinate directions, such
as reversing their direction or flipping which direction is denoted
as U, V or W.

Select the Base Point for the pattern for
each parametric coordinate direction that is used (U, V and W, as
required). The Base Point is a point on each
parametric coordinate direction that the original instance of the
geometry takes as its starting point for the pattern.

Specify pattern Spacing and
Count in each direction according to your
requirements.

The following sections give examples of some of the different Conformal
Pattern options.

1D Pattern Along Curve

Implicit bodies can be patterned along a single curve. Instances of
the selected implicit body will follow the curve and can be spaced
evenly in terms of parametric coordinates or according to a distance
in length units.

2D Pattern Along Two Curves

Implicit bodies can be patterned along two curves. Instances of the
selected implicit body will follow the surface implied by the two
curves and can be spaced evenly in terms of parametric coordinates
or according to a distance in length units.

2D Pattern Across Parametric Surface (BRep)

When conforming to a surface, you can specify the spacing of the
pattern so instances are evenly spaced in parametric U- and
V-coordinates or spaced according to some distance in length units.
Often, the most intuitive results come from even spacing in U and V.

3D Pattern Along Three Curves

3D Pattern Across Surface and Along a Curve

Conformal Coordinate Spaces for Lattice Geometry

Conform to Surface

Lattices created using Implicit Modeling have the option to conform
to a user-selected parametric (BRep) surface.

Starting from a BRep geometry, select the model you want to lattice
and click the Surface Lattice tool on in the
Implicit Modeling ribbon.

Once you have selected the lattice Surface properties, click the
Conform to: dropdown list and select
Create Conformal.

This will take you to the Conformpanel where you can select
the surface you want to conform to by clicking it in the model. You
will have the option to reverse the direction of the U and V
coordinate parametrizations and also flip which coordinate
directions are used as U and V.

The end result is a lattice that follows the parametric coordinate
directions of the surface, which makes it possible to terminate each
unit cell nicely on the boundary of the original body. For clarity,
the parametrized coordinate direction W is always perpendicular to
the selected surface.