## Creating and manipulating geometry

In the previous chapters, we learned about the different workbenches of FreeCAD, and that each of them implements its own tools and geometry types. The same concepts applies when working from Python code.

We also saw that the big majority of the FreeCAD workbenches depend on a very fundamental one: the Part Workbench. In fact, may other workbenches, such as Draft or Arch, do exactly what we will do in this chapter: They use Python code to create and manipulate Part geometry.

So the first thing we need to do to work with Part geometry, is to do the Python equivalent of switching to the Part Workbench: import the Part module:

`import Part`

Take a minute to explore the contents of the Part module, by typing `Part.` and browsing through the different methods offered there. The Part module offers several convenience functions such as makeBox, makeCircle, etc... which will instantly build an object for you. Try this, for example:

`Part.makeBox(3,5,7)`

When you press Enter after typing the line above, nothing will appear in the 3D view, but something like this will be printed on the Python Console:

`<Solid object at 0x5f43600>`

This is where an important concept takes place. What we created here is a Part Shape. It is not a FreeCAD document object (yet). In FreeCAD, objects and their geometry are independent. Think of a FreeCAD document object as a container, that will host a shape. Parametric objects will also have properties such as Length and Width, and will recalculate their Shape on-the-fly, whenever one of the properties change. What we did here is calculate a shape manually.

We can now easily create a "generic" document object in the current document (make sure you have at least one new document open), and give it a box shape like we just made:

``````boxShape = Part.makeBox(3,5,7)
myObj.Shape = boxShape
``````

Note how we handled `myObj.Shape`, see that it is done exactly like we did in the previous chapter, when we changed other properties of an object, such as `box.Height = 5`. In fact, Shape is also a property, just like Height. Only it takes a Part Shape, not a number. In next chapter we will have a deeper look at how those parametric objects are constructed.

For now, let's explore our Part Shapes more in detail. At the end of the chapter about traditional modeling with the Part Workbench we showed a list that explains how Part Shapes are constructed, and their different components (Vertices, edges, faces, etc). The exact same components exist here and can be retrieved from Python. All Part Shapes have the following attributes: Vertexes, Edges, Wires, Faces, Shells and Solids. All of them are lists, that can contain any number of elements or be empty:

``````print(boxShape.Vertexes)
print(boxShape.Edges)
print(boxShape.Wires)
print(boxShape.Faces)
print(boxShape.Shells)
print(boxShape.Solids)
``````

For example, let's find the area of each face of our box shape above:

``````for f in boxShape.Faces:
print(f.Area)
``````

Or, for each edge, its start point and end point:

``````for e in boxShape.Edges:
print("New edge")
print("Start point:")
print(e.Vertexes[0].Point)
print("End point:")
print(e.Vertexes[1].Point)
``````

As you see, if our boxShape has a "Vertexes" attribute, each Edge of the boxShape also has a "Vertexes" attribute. As we can expect, the boxShape will have 8 vertices, while the edge will only have 2, which are both part of the list of 8.

We can always check what is the type of a shape:

``````print(boxShape.ShapeType)
print(boxShape.Faces[0].ShapeType)
print (boxShape.Vertexes[2].ShapeType)
``````

So to resume the whole diagram of Part Shapes: Everything starts with Vertices. With one or two vertices, you form an Edge (full circles have only one vertex). With one or more Edges, you form a Wire. With one or more closed Wires, you form a Face (the additional Wires become "holes" in the Face). With one or more Faces, you form a Shell. When a Shell is fully closed (watertight), you can form a Solid from it. And finally, you can join any number of Shapes of any types together, which is then called a Compound.

We can now try creating complex shapes from scratch, by constructing all their components one by one. For example, let's try to create a volume like this:

We will start by creating a planar shape like this:

First, let's create the four base points:

``````V1 = FreeCAD.Vector(0,10,0)
``````

Then we can create the two linear segments:

``````L1 = Part.Line(V1,V2)
L2 = Part.Line(V4,V3)
``````

Note that we didn't need to create Vertices? We could immediately create Part.Lines from FreeCAD Vectors. This is because here we haven't created Edges yet. A Part.Line (as well as Part.Circle, Part.Arc, Part.Ellipse or PArt.BSpline) does not create an Edge, but rather a base geometry on which an Edge will be created. Edges are always made from such a base geometry, which is stored its Curve attribute. So if you have an Edge, doing:

`print(Edge.Curve)`

will show you what kind of Edge this is, that is, if it is based on a line, an arc, etc... But let's come back to our exercise, and build the arc segments. For this, we will need a third point, so we can use the convenient Part.Arc, which takes 3 points:

``````VC1 = FreeCAD.Vector(-10,0,0)
C1 = Part.Arc(V1,VC1,V4)
C2 = Part.Arc(V2,VC2,V3)
``````

Now we have 2 lines (L1 and L2) and 2 arcs (C1 and C2). We need to turn them into edges:

``````E1 = Part.Edge(L1)
E2 = Part.Edge(L2)
E3 = Part.Edge(C1)
E4 = Part.Edge(C2)
``````

Alternatively, base geometries also have a toShape() function that do exactly the same thing:

``````E1 = L1.toShape()
E2 = L2.toShape()
...
``````

Once we have a series of Edges, we can now form a Wire, by giving it a list of Edges. We need to enter them in order:

`W = Part.Wire([E1,E4,E2,E3])`

And we can check if our Wire was correctly understood, and that it is correctly closed:

`print( W.isClosed() )`

Which will print "True" or "False". In order to make a Face, we need closed Wires, so it is always a good idea to check that before creating the Face. Now we can create a Face, by giving it a single Wire (or a list of Wires if we had holes):

`F = Part.Face(W)`

Then we extrude it:

`P = F.extrude(FreeCAD.Vector(0,0,10))`

Note that P is already a Solid:

`print(P.ShapeType)`

Because when extruding a single Face, we always get a Solid. This wouldn't be the case, for example, if we had extruded the Wire instead:

``````S = W.extrude(FreeCAD.Vector(0,0,10))
print(s.ShapeType)
``````

Which will of course give us a hollow shell, with the top and bottom faces missing.

Now that we have our final Shape, we are anxious to see it on screen! So let's create a generic object, and attribute it our new Solid:

``````myObj2 = FreeCAD.ActiveDocument.addObject("Part::Feature","My_Strange_Solid")
myObj2.Shape = P
`Part.show(P)`