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Typos
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5 changed files with 13 additions and 20 deletions
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@ -12,7 +12,7 @@ Objects and arithmetic
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:math:`C^2` is the set of all ``Sketch`` objects ``s`` with ``s._dim = 2``
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:math:`C^1` is the set of all ``Curve`` objects ``c`` with ``c._dim = 3``
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:math:`C^1` is the set of all ``Curve`` objects ``c`` with ``c._dim = 1``
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**Neutral elements:**
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@ -49,7 +49,7 @@ with :math:`B^3 \subset C^3, B^2 \subset C^2` and :math:`B^1 \subset C^1`
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:math:`\; a \; \& \; b :=` ``a.intersect(b)`` for each operation
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* :math:`\&` is not defined for :math:`n=1` in build123d
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* :math:`\&` is not defined for :math:`n=1` in build123d
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* The following relationship holds: :math:`a \; \& \; b = (a + b) + -(a + (-b)) + -(b + (-a))`
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@ -66,12 +66,12 @@ Locations, planes and location arithmentic
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**Set definitions:**
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:math:`L := \lbrace` ``Location((x, y, z), (a, b, c))`` :math:`: x,y,z \in R \land a,b,c \in R \rbrace\;`
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:math:`L := \lbrace` ``Location((x, y, z), (a, b, c))`` :math:`: x,y,z \in R \land a,b,c \in R \rbrace\;`
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with :math:`a,b,c` being angles in degrees.
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:math:`P := \lbrace` ``Plane(o, x, z)`` :math:`: o,x,z ∈ R^3 \land \|x\| = \|z\| = 1\rbrace`
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:math:`P := \lbrace` ``Plane(o, x, z)`` :math:`: o,x,z ∈ R^3 \land \|x\| = \|z\| = 1\rbrace`
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with ``o`` being the origin and ``x``, ``z`` the x- and z-direction of the plane.
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Neutral element: :math:`\; l_0 \in L`: ``Location()``
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@ -79,7 +79,7 @@ Neutral element: :math:`\; l_0 \in L`: ``Location()``
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**Operations:**
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:math:`*: L \times L \rightarrow L` with :math:`(l_1,l_2) \mapsto l_1 * l_2`
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:math:`\; l_1 * l_2 :=` ``l1 * l2`` (multiply two locations)
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:math:`*: P \times L \rightarrow P` with :math:`(p,l) \mapsto p * l`
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@ -662,7 +662,7 @@ example.
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* **Algebra mode**
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Use the operator ``*`` to relocate the plane (post-mulitplication!).
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Use the operator ``*`` to relocate the plane (post-multiplication!).
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.. literalinclude:: general_examples_algebra.py
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:start-after: [Ex. 22]
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@ -26,7 +26,6 @@ For the following use the helper function:
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show_object(face, name="face")
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show_object(location_symbol(loc), name="location")
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.. image:: assets/location-example-01.png
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@ -40,7 +39,6 @@ For the following use the helper function:
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show_object(face, name="face")
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show_object(plane_symbol(plane), name="plane")
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.. image:: assets/location-example-07.png
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@ -53,7 +51,7 @@ Relative positioning to a plane
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1. **Position an object on a plane relative to the plane**
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.. code-block:: python
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loc = Location((0.1, 0.2, 0.3), (10, 20, 30))
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face = loc * Rectangle(1,2)
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@ -65,11 +63,10 @@ Relative positioning to a plane
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show_object(face, name="face")
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show_object(location_symbol(loc), name="location")
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show_object(box, name="box")
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.. image:: assets/location-example-02.png
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The ``x``, ``y``, ``z`` components of ``Pos(0.2, 0.4, 0.1)`` are relative to the ``x``-axis, ``y``-axis or
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The ``x``, ``y``, ``z`` components of ``Pos(0.2, 0.4, 0.1)`` are relative to the ``x``-axis, ``y``-axis or
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``z``-axis of the underlying location ``loc``.
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Note: ``Plane(loc) *``, ``Plane(face.location) *`` and ``loc *`` are equivalent in this example.
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@ -87,7 +84,6 @@ Relative positioning to a plane
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show_object(face, name="face")
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show_object(location_symbol(loc), name="location")
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show_object(box, name="box")
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.. image:: assets/location-example-03.png
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@ -107,7 +103,6 @@ Relative positioning to a plane
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show_object(face, name="face")
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show_object(location_symbol(loc), name="location")
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show_object(box, name="box")
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.. image:: assets/location-example-04.png
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@ -127,11 +122,10 @@ Relative positioning to a plane
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show_object(location_symbol(loc), name="location")
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show_object(box, name="box")
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show_object(location_symbol(loc * Rot(20, 40, 80), 0.5), options={"color":(0, 255, 255)}, name="local_location")
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.. image:: assets/location-example-05.png
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The box is positioned via ``Pos(0.2, 0.4, 0.1)`` relativce to the location ``loc * Rot(20, 40, 80)``
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The box is positioned via ``Pos(0.2, 0.4, 0.1)`` relative to the location ``loc * Rot(20, 40, 80)``
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4. **Position and rotate an object relative to a location**
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@ -147,7 +141,6 @@ Relative positioning to a plane
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show_object(location_symbol(loc), name="location")
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show_object(box, name="box")
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show_object(location_symbol(loc * Pos(0.2, 0.4, 0.1), 0.5), options={"color":(0, 255, 255)}, name="local_location")
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.. image:: assets/location-example-06.png
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@ -22,7 +22,7 @@ with BuildPart() as latch:
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offset(amount=-2)
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fillet(slide_hole.vertices(), 1)
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extrude(amount=-68, mode=Mode.SUBTRACT)
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# Slot for the hangle to slide in
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# Slot for the handle to slide in
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with BuildSketch(latch.faces().sort_by(Axis.Z)[-1]):
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SlotOverall(32, 8)
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extrude(amount=-2, mode=Mode.SUBTRACT)
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@ -131,7 +131,7 @@ interchange objects between the two systems by transferring the ``wrapped`` obje
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Self Intersection
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*****************
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Avoid creating objects that intersect themselves - even if at a single vertex - as these topoplogies
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Avoid creating objects that intersect themselves - even if at a single vertex - as these topologies
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will almost certainly be invalid (even if :meth:`~topology.Shape.is_valid` reports a ``True`` value).
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An example of where this my arise is with the thread of a screw (or any helical shape) where after
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one complete revolution the part may contact itself. One is likely be more successful if the part
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