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Fixed docs formatting issues.
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2 changed files with 76 additions and 64 deletions
135
polyhedra.scad
135
polyhedra.scad
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@ -43,69 +43,83 @@ function _unique_groups(m) = [
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// Description:
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// Creates a regular polyhedron with optional rounding. Children are placed on the polyhedron's faces.
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//
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// **Selecting the polyhedron:** You constrain the polyhedra list by specifying different characteristics, that
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// must all be met
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// * name: e.g. "dodecahedron" or "pentagonal icositetrahedron"
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// * type: options are "platonic", "archimedean" and "catalan"
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// * faces: a required number of faces
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// * facetype: required face type. List of vertex counts for the faces. Exactly the list types of
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// faces listed must appear.
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// * facetype = 3 // polyhedron will all triangular faces
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// * facetype = [5,6] // polyhedron with only pentagons and hexagons (must have both!)
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// * hasfaces: list of vertex counts for faces; at least one listed type must appear
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// * hasfaces = 3 // polygon has at least one triangular face
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// * hasfaces = [5,6] // polygon has a hexagonal or a pentagonal face
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// The result is a list of selected polyhedra. You then specify index to choose which one of the
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// remaining polyhedra you want. If you don't give index the first one on the list is created. Two examples:
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// * faces=12, index=2: Creates the 3rd solid with 12 faces
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// * type="archimedean", faces=14: Creates the first archimedean solid with 14 faces (there are 3)
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// **Selecting the polyhedron:**
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// You constrain the polyhedra list by specifying different characteristics, that must all be met
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// * `name`: e.g. `"dodecahedron"` or `"pentagonal icositetrahedron"`
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// * `type`: Options are `"platonic"`, `"archimedean"` and `"catalan"`
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// * `faces`: The required number of faces
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// * `facetype`: The required face type(s). List of vertex counts for the faces. Exactly the listed types of faces must appear:
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// * `facetype = 3`: polyhedron with all triangular faces.
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// * `facetype = [5,6]`: polyhedron with only pentagons and hexagons. (Must have both!)
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// * hasfaces: The list of vertex counts for faces; at least one listed type must appear:
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// * `hasfaces = 3`: polygon has at least one triangular face
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// * `hasfaces = [5,6]`: polygon has a hexagonal or a pentagonal face
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//
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// The result is a list of selected polyhedra. You then specify `index` to choose which one of the
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// remaining polyhedra you want. If you don't give `index` the first one on the list is created.
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// Two examples:
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// * `faces=12, index=2`: Creates the 3rd solid with 12 faces
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// * `type="archimedean", faces=14`: Creates the first archimedean solid with 14 faces (there are 3)
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//
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// **Choosing the size of your polyhedron:**
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// The default is to create a polyhedron whose smallest edge has length 1.
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// You can specify the smallest edge length with the size option
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// Alternatively you can specify the size of the inscribed sphere, midscribed sphere, or circumscribed sphere
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// using ir, mr and cr respectively. If you specify cr=3 then the outermost points of the polyhedron will
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// be 3 units from the center. If you specify ir=3 then the innermost faces of the polyhedron will be 3 units from the center.
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// For the platonic solids every face meets the inscribed sphere and every corner touches the circumscribed sphere. For the
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// Archimedean solids the inscribed sphere will touch only some of the faces and for the Catalan solids the circumscribed sphere
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// meets only some of the corners.
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// The default is to create a polyhedron whose smallest edge has length 1. You can specify the
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// smallest edge length with the size option. Alternatively you can specify the size of the
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// inscribed sphere, midscribed sphere, or circumscribed sphere using `ir`, `mr` and `cr` respectively.
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// If you specify `cr=3` then the outermost points of the polyhedron will be 3 units from the center.
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// If you specify `ir=3` then the innermost faces of the polyhedron will be 3 units from the center.
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// For the platonic solids every face meets the inscribed sphere and every corner touches the
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// circumscribed sphere. For the Archimedean solids the inscribed sphere will touch only some of
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// the faces and for the Catalan solids the circumscribed sphere meets only some of the corners.
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//
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// **Orientation:** Orientation is controled by the facedown parameter. Set this to false to get the
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// canonical orientation. Set it to true to get the largest face oriented down. If you set it to a number
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// the module searches for a face with the specified number of vertices and orients that face down.
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// **Orientation:**
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// Orientation is controled by the facedown parameter. Set this to false to get the canonical orientation.
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// Set it to true to get the largest face oriented down. If you set it to a number the module searches for
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// a face with the specified number of vertices and orients that face down.
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//
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// **Rounding:** If you specify the rounding parameter the module makes a rounded polyhedron by first creating an
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// undersized model and then expanding it with minkowski(). This only produces the correct result if the in-sphere contacts
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// all of the faces of the polyhedron, which is true for the platonic, the catalan solids and the trapezohedra but false
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// for the archimedean solids.
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// **Rounding:**
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// If you specify the rounding parameter the module makes a rounded polyhedron by first creating an
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// undersized model and then expanding it with `minkowski()`. This only produces the correct result
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// if the in-sphere contacts all of the faces of the polyhedron, which is true for the platonic, the
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// catalan solids and the trapezohedra but false for the archimedean solids.
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//
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// **Children:** The module places children on the faces of the polyhedron. The child coordinate system is positioned
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// so that the origin is the center of the face. If rotate_children is true (the default) then the coordinate system
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// is oriented so the z axis is normal to the face, which lies in the xy plane.
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// If you give repeat=true (default) the children are cycled through to cover all faces. With repeat=false each child is used once.
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// You can specify draw=false to suppress drawing of the polyhedron, e.g. to use for difference() operations. The module
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// sets various parameters you can use in your children (see the side effects list below).
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// **Children:**
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// The module places children on the faces of the polyhedron. The child coordinate system is
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// positioned so that the origin is the center of the face. If `rotate_children` is true (default)
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// then the coordinate system is oriented so the z axis is normal to the face, which lies in the xy
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// plane. If you give `repeat=true` (default) the children are cycled through to cover all faces.
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// With `repeat=false` each child is used once. You can specify `draw=false` to suppress drawing of
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// the polyhedron, e.g. to use for `difference()` operations. The module sets various parameters
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// you can use in your children (see the side effects list below).
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//
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// **Stellation:** Technically stellation is an operation of shifting the polyhedron's faces to produce a new shape that may have
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// self-intersecting faces. OpenSCAD cannot handle self-intersecting faces, so we instead erect a pyramid on each face, a process
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// technically referred to as augmentation. The height of the pyramid is given by the `stellate` argument. If `stellate` is
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// false or zero then no stellation is performed. Otherwise stellate gives the pyramid height as a multiple of the edge length.
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// A negative pyramid height can be used to perform excavation, where a pyramid is removed from each face.
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// **Stellation:**
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// Technically stellation is an operation of shifting the polyhedron's faces to produce a new shape
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// that may have self-intersecting faces. OpenSCAD cannot handle self-intersecting faces, so we
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// instead erect a pyramid on each face, a process technically referred to as augmentation. The
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// height of the pyramid is given by the `stellate` argument. If `stellate` is `false` or `0` then
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// no stellation is performed. Otherwise stellate gives the pyramid height as a multiple of the
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// edge length. A negative pyramid height can be used to perform excavation, where a pyramid is
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// removed from each face.
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//
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// **Special Polyhedra:** These can be selected only by name and may require different parameters, or ignore some standard parameters
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// * trapezohedron: a family of solids with an even number of kite shaped sides. The d10 die is a 10 face trapezohedron. You must
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// specify exactly two of `side`, `longside`, `h`, and `r` (or `d`).
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// * side: length of the short side
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// * longside: length of the long side that extends to the apex
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// * r: radius of the polygon that defines the equatorial vertices
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// * h: distance from the center to the apex
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// You cannot create these shapes using mr, ir, or or.
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// * named stellations: various polyhedra such as the Kepler-Poinsot solids are stellations with specific pyramid heights. To make
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// then easier to generate you can specify them by name. This is equivalent to giving the name of the appropriate base solid and
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// the magic stellate parameter needed to produce that shape. The supported solids are
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// * "great dodecahedron"
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// * "small stellated dodecahedron"
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// * "great stellated dodecahedron"
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// **Special Polyhedra:**
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// These can be selected only by name and may require different parameters, or ignore some standard
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// parameters.
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// * Trapezohedron: a family of solids with an even number of kite shaped sides.
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// One example of a trapezohedron is the d10 die, which is a 10 face trapezohedron.
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// You must specify exactly two of `side`, `longside`, `h`, and `r` (or `d`).
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// You cannot create trapezohedron shapes using `mr`, `ir`, or `or`.
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// * `side`: Length of the short side.
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// * `longside`: Length of the long side that extends to the apex.
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// * `h`: Distance from the center to the apex.
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// * `r`: Radius of the polygon that defines the equatorial vertices.
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// * `d`: Diameter of the polygon that defines the equatorial vertices.
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//
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// * Named stellations: various polyhedra such as the Kepler-Poinsot solids are stellations with
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// specific pyramid heights. To make them easier to generate you can specify them by name.
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// This is equivalent to giving the name of the appropriate base solid and the magic stellate
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// parameter needed to produce that shape. The supported solids are:
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// * `"great dodecahedron"`
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// * `"small stellated dodecahedron"`
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// * `"great stellated dodecahedron"`
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//
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// Arguments:
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// name = Name of polyhedron to create.
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@ -132,9 +146,9 @@ function _unique_groups(m) = [
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// h = Specify the height of the apex for a trapezohedron. Ignored for other shapes.
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//
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// Side Effects:
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// `$faceindex` - index number of the face
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// `$face` - coordinates of the face (2d if rotate_children==true, 3d if not)
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// `$center` - polyhedron center in the child coordinate system
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// `$faceindex` - Index number of the face
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// `$face` - Coordinates of the face (2d if rotate_children==true, 3d if not)
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// `$center` - Polyhedron center in the child coordinate system
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//
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// Examples: All of the available polyhedra by name in their native orientation
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// regular_polyhedron("tetrahedron", facedown=false);
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@ -640,8 +654,7 @@ function regular_polyhedron_info(
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faces = faces_normals_vertices[0],
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faces_vertex_count = [for(face=faces) len(face)],
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facedown = facedown == true ? entry[facevertices][0] : facedown,
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down_direction = facedown == false?
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[0,0,-1] :
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down_direction = facedown == false? [0,0,-1] :
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faces_normals_vertices[1][search(facedown, faces_vertex_count)[0]],
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scaled_points = scalefactor * rotate_points3d(faces_normals_vertices[2], from=down_direction, to=[0,0,-1]),
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bounds = pointlist_bounds(scaled_points),
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@ -55,15 +55,14 @@ def get_comment_block(lines, prefix, blanks=1):
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while lines:
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if not lines[0].startswith(prefix + " "):
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break
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line = lines.pop(0).rstrip().lstrip("/")
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line = lines.pop(0)[len(prefix)+1:]
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if line == "":
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blankcnt += 1
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if blankcnt >= blanks:
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break
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else:
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blankcnt = 0
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line = line[len(prefix):]
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out.append(line)
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out.append(line.rstrip())
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return (lines, out)
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