This tutorial provides a step by step guide to creating a script to build a parametric Lego block as shown here:
Before getting to the CAD operations, this Lego script needs to import the build123d
environment. There are over 100 python classes in build123d so we'll just import them
all with a from build123d import * but :ref:`there are other options <are_glob_imports_bad_practice>` that we won't explore
here.
The dimensions of the Lego block follow. A key parameter is pip_count, the length
of the Lego blocks in pips. This parameter must be at least 2.
.. literalinclude:: ../examples/lego.py
:language: build123d
:lines: 30,31, 34-47
The Lego block will be created by the BuildPart builder as it's a discrete three
dimensional part; therefore, we'll instantiate a BuildPart with the name lego.
.. literalinclude:: ../examples/lego.py
:language: build123d
:lines: 49
Lego blocks have quite a bit of internal structure. To create this structure we'll draw a two dimensional sketch that will later be extruded into a three dimensional object. As this sketch will be part of the lego part, we'll create a sketch builder in the context of the part builder as follows:
.. literalinclude:: ../examples/lego.py
:language: build123d
:lines: 49-51
:emphasize-lines: 3
Note that builder instance names are optional - we'll use plan to reference the sketch.
Also note that all sketch objects are filled or 2D faces not just perimeter lines.
The first object in the sketch is going to be a rectangle with the dimensions of the outside
of the Lego block. The following step is going to refer to this rectangle, so it will
be assigned the identifier perimeter.
.. literalinclude:: ../examples/lego.py
:language: build123d
:lines: 49-53
:emphasize-lines: 5
Once the Rectangle object is created the sketch appears as follows:
To create the walls of the block the rectangle that we've created needs to be
hollowed out. This will be done with the Offset operation which is going to
create a new object from perimeter.
.. literalinclude:: ../examples/lego.py
:language: build123d
:lines: 49-53,58-64
:emphasize-lines: 7-12
The first parameter to Offset is the reference object. The amount is a
negative value to indicate that the offset should be internal. The kind
parameter controls the shape of the corners - Kind.INTERSECTION will create
square corners. Finally, the mode parameter controls how this object will
be placed in the sketch - in this case subtracted from the existing sketch.
The result is shown here:
Now the sketch consists of a hollow rectangle.
The interior of the Lego block has small ridges on all four internal walls.
These ridges will be created as a grid of thin rectangles so the positions
of the centers of these rectangles need to be defined. A pair of
GridLocations location contexts will define these positions, one for
the horizontal bars and one for the vertical bars. As the Rectangle
objects are in the scope of a location context (GridLocations in this case)
that defined multiple points, multiple rectangles are created.
.. literalinclude:: ../examples/lego.py
:language: build123d
:lines: 49-53,58-64,69-73
:emphasize-lines: 13-17
Here we can see that the first GridLocations creates two positions which causes
two horizontal rectangles to be created. The second GridLocations works in the same way
but creates pip_count positions and therefore pip_count rectangles. Note that keyword
parameter are optional in this case.
The result looks like this:
To convert the internal grid to ridges, the center needs to be removed. This will be done
with another Rectangle.
.. literalinclude:: ../examples/lego.py
:language: build123d
:lines: 49-53,58-64,69-73,78-83
:emphasize-lines: 18-23
The Rectangle is subtracted from the sketch to leave the ridges as follows:
Lego blocks use a set of internal hollow cylinders that the pips push against
to hold two blocks together. These will be created with Circle.
.. literalinclude:: ../examples/lego.py
:language: build123d
:lines: 49-53,58-64,69-73,78-83,88-93
:emphasize-lines: 24-29
Here another GridLocations is used to position the centers of the circles. Note
that since both Circle objects are in the scope of the location context, both
Circles will be positioned at these locations.
Once the Circles are added, the sketch is complete and looks as follows:
Now that the sketch is complete it needs to be extruded into the three dimensional wall object.
.. literalinclude:: ../examples/lego.py
:language: build123d
:lines: 49-53,58-64,69-73,78-83,88-93,98-99
:emphasize-lines: 30-31
Note how the Extrude operation is no longer in the BuildSketch scope and has returned
back into the BuildPart scope. This causes BuildSketch to exit and transfer the
sketch that we've created to BuildPart for further processing by Extrude.
The result is:
Now that the walls are complete, the top of the block needs to be added. Although this could be done with another sketch, we'll add a box to the top of the walls.
.. literalinclude:: ../examples/lego.py
:language: build123d
:lines: 49-53,58-64,69-73,78-83,88-93,98-99,110-118
:emphasize-lines: 32-40
To position the top, we'll describe the top center of the lego walls with a Locations context.
To determine the height we'll extract that from the
lego.part by using the vertices() method which returns a list of the positions
of all of the vertices of the Lego block so far. Since we're interested in the top,
we'll sort by the vertical (Z) axis and take the top of the list sort_by(Axis.Z)[-1]. Finally,
the Z property of this vertex will return just the height of the top. Note that
the X and Y values are not used from the selected vertex as there are no
vertices in the center of the block.
Within the scope of this Locations context, a Box is created, centered at
the intersection of the x and y axis but not in the z thus aligning with the top of the walls.
The base is closed now as shown here:
The final step is to add the pips to the top of the Lego block. To do this we'll create a new workplane on top of the block where we can position the pips.
.. literalinclude:: ../examples/lego.py
:language: build123d
:lines: 49-53,58-64,69-73,78-83,88-93,98-99,110-118,129-137
:emphasize-lines: 41-49
In this case, the workplane is created from the top Face of the Lego block by using the
faces method and then sorted vertically and taking the top one sort_by(Axis.Z)[-1].
On the new workplane, a grid of locations is created and a number of Cylinder's are positioned
at each location.
This completes the Lego block. To access the finished product, refer to the builder's internal object as shown here:
| Builder | Object |
|---|---|
| BuildLine | line |
| BuildSketch | sketch |
| BuildPart | part |
so in this case the Lego block is lego.part. To display the part use show_object(lego.part)
or show(lego.part) depending on the viewer. The part could also be exported to a STL or STEP
file by referencing lego.part.
Note
Viewers that don't directly support build123d my require a raw OpenCascade object. In this
case, append .wrapped to the object (e.g.) show_object(lego.part.wrapped).