Cone

Make a cone with base radius 5, top radius 10, and height 15

cone  = Part.makeCone(5, 10.0, 15)
#Part.show(cone)
cone2  = cone.copy()

testEqual(cone, cone2)

The cone is symmetic under Z axis rotation

cone2.rotate(o, z, 20)
testEqual(cone, cone2)

but not symmetic under X axis rotation

cone2.rotate(o, x, 20)
testNotEqual(cone, cone2)

cone2.translate(Vector(0,0,10))
testNotEqual(cone, cone2)

Translation and rotation can be undone, but if not undone in the reverse order then the axis for the rotation needs to be modified to the center of the cone.

cone2.rotate(Vector(0,0,10), x, -20)
cone2.translate(Vector(0,0,-10))
testEqual(cone, cone2)

c  = Part.makeCylinder(5, 10.0, o, z, 360)
c2 = c.copy()
testEqual(c, c2)

c2.rotate(o, z, 180)
testEqual(c, c2)

c2.rotate(o, Vector(1,0,0), 180)
c2.translate(Vector(0,0,10))
testEqual(c, c2)

c2 = c.copy()
testEqual(c, c2)

c2.rotate(o, z, 90)
testEqual(c, c2)

c2.rotate(o, Vector(1,0,0), 90)
testNotEqual(c, c2)