1. Transformations
   1. Translate
   2. Rotate
   3. Scale
   4. Mirror
2. Modeling
   1. Union
   2. Hull
   3. Difference
   4. Intersection
   5. Linear Extrude
   6. Rotate Extrude

Translates (moves) the component along the specified vector.

Example of use:

Component myCube = Cube::create(10,20,30);
myCube.translate(5,0,-2);

Rotates the component child a degrees about the origin of the coordinate system. When a rotation is specified for multiple axes the the rotation is applied in the following order: x, y, z.

Example of use:

Component myCube = Cube::create(10,20,30);
myCube.rotate(0,0,45);

Rotates the cube 45º around the z axis.

Component myCube = Cube::create(10,20,30);
myCube.rotate(30,0,45);

Rotates the cube first 30º around x axis, and then 45º around the (original) z axis.

Rotates the component child about the origin of the coordinate system. The rotation is specified by the angles ZX'Z' ': z degrees around z axis, then xp degrees around the new x' axis, and finally zpp degrees around the new z' ' axis.

Example of use:

Component myCube = Cube::create(10,20,30);
myCube.rotateEulerZXZ(90,15,45);

Rotates the cube 90 degrees around z axis, then 15 degrees around the new x' axis, and then 30 degrees around the new z' ' axis.

Rotates the component child about the origin of the coordinate system. The rotation is specified by the angles ZY'Z' ': z degrees around z axis, then xp degrees around the new y' axis, and finally zpp degrees around the new z' ' axis.

Example of use:

Component myCube = Cube::create(10,20,30);
myCube.rotateEulerZYZ(90,15,45);

Rotates the cube 90 degrees around z axis, then 15 degrees around the new y' axis, and then 30 degrees around the new z' ' axis.

Mirrors the child element on a plane through the origin.

Example of use:

Component myCylinder = Cylinder::create(3,5);
myCylinder.rotate(45,0,0).translate(6,0,0);
Component myCylinder_mirrored = myCylinder.mirroredCopy(0,1,0);

Scales its child elements using the specified vector.

Example of use:

Component myCylinder = Cylinder(3,5);
myCylinder.scale(30/20, 10/20, 1);

Creates a union of all its child nodes. This is the sum of all children. Example of use:

Component myCylinder1 = Cylinder(3,10);
Component myCylinder2 = Cylinder(3,10).rotate(90,0,0);
 
Component cross = myCylinder1 + myCylinder2;

Computes the convex hull of child nodes. Example of use:

  Component cube = Cube(5, 15, 3);
  Component cylinder1 = Cylinder(5,3).translate(-10,0,0);
  Component cylinder2 = Cylinder(5,3).translate(10,0,0);
  Component cylinder3 = Cylinder(5,3).translate(0,10,0);
 
  Component hull = cube & cylinder1 & cylinder2 & cylinder3;

Subtracts the 2nd (and all further) child nodes from the first one.

Example of use:

Component body = Cylinder(3,10);
Component drill = Cylinder(1,10.1);
 
Component spacer = body - drill;

Creates the intersection of all child nodes. This keeps the overlapping portion.

Linear Extrusion is a modeling operation that takes a 2D polygon as input and extends it in the third dimension. This way a 3D shape is created.

A rotational extrusion is a Linear Extrusion with a twist, literally. Unfortunately, it can not be used to produce a helix for screw threads as the 2D outline must be normal to the axis of rotation.