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https://github.com/BelfrySCAD/BOSL2.git
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Revar Desmera
GitHub
commit
802059f2cb
3 changed files with 119 additions and 70 deletions
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@ -2761,6 +2761,9 @@ module corner_profile(corners=CORNERS_ALL, except=[], r, d, convexity=10) {
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// correctly, all of the sub-parts of your attachable object must be attachables. Also note that this option could
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// be confusing to users who don't understand why color commands are not working on the object.
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// .
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// Note that anchors created by attachable() are generally intended for use by the user-supplied children of the attachable object, but they
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// are available internally and can be used in the object's definition.
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// .
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// For a step-by-step explanation of attachments, see the [Attachments Tutorial](Tutorial-Attachments).
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//
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// Arguments:
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@ -3021,6 +3024,38 @@ module corner_profile(corners=CORNERS_ALL, except=[], r, d, convexity=10) {
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// recolor("pink") thing()
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// attach(RIGHT,BOT)
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// recolor("blue") cyl(d=5,h=5);
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// Example(3D,NoScale): This example defines named anchors and then uses them internally in the object definition to make a cutout in the socket() object and to attach the plug on the plug() object. These objects can be connected using the "socket" and "plug" named anchors, which will fit the plug into the socket.
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// module socket(anchor, spin, orient) {
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// sz = 50;
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// prong_size = 10;
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// anchors = [
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// named_anchor("socket", [sz/2,.15*sz,.2*sz], RIGHT, 0)
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// ];
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// attachable(anchor, spin, orient, size=[sz,sz,sz], anchors=anchors) {
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// diff() {
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// cuboid(sz);
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// tag("remove") attach("socket") zcyl(d=prong_size, h=prong_size*2);
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// }
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// children();
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// }
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// }
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// module plug(anchor, spin, orient) {
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// sz = 30;
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// prong_size = 9.5;
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// anchors=[
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// named_anchor("plug", [0,sz/3,sz/2], UP, 0)
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// ];
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// attachable(anchor, spin, orient, size=[sz,sz,sz], anchors=anchors) {
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// union(){
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// cuboid(sz);
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// attach("plug") cyl(d=prong_size, h=prong_size*2,$fn=6);
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// }
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// children();
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// }
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// }
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// socket();
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// right(75) plug();
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module attachable(
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anchor, spin, orient,
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12
beziers.scad
12
beziers.scad
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@ -979,20 +979,20 @@ function bezier_patch_reverse(patch) =
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// v = The bezier v parameter (outer list of patch). Generally between 0 and 1. Can be a list, range or value.
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// Example(3D):
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// patch = [
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// [[-50, 50, 0], [-16, 50, 20], [ 16, 50, 20], [50, 50, 0]],
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// [[-50, 16, 20], [-16, 16, 40], [ 16, 16, 40], [50, 16, 20]],
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// [[-50,-50, 0], [-16,-50, 20], [ 16,-50, 20], [50,-50, 0]],
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// [[-50,-16, 20], [-16,-16, 40], [ 16,-16, 40], [50,-16, 20]],
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// [[-50,-50, 0], [-16,-50, 20], [ 16,-50, 20], [50,-50, 0]]
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// [[-50, 16, 20], [-16, 16, 40], [ 16, 16, 40], [50, 16, 20]],
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// [[-50, 50, 0], [-16, 50, 20], [ 16, 50, 20], [50, 50, 0]]
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// ];
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// debug_bezier_patches(patches=[patch], size=1, showcps=true);
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// pt = bezier_patch_points(patch, 0.6, 0.75);
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// translate(pt) color("magenta") sphere(d=3, $fn=12);
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// Example(3D): Getting Multiple Points at Once
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// patch = [
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// [[-50, 50, 0], [-16, 50, 20], [ 16, 50, 20], [50, 50, 0]],
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// [[-50, 16, 20], [-16, 16, 40], [ 16, 16, 40], [50, 16, 20]],
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// [[-50,-50, 0], [-16,-50, 20], [ 16,-50, 20], [50,-50, 0]],
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// [[-50,-16, 20], [-16,-16, 40], [ 16,-16, 40], [50,-16, 20]],
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// [[-50,-50, 0], [-16,-50, 20], [ 16,-50, 20], [50,-50, 0]]
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// [[-50, 16, 20], [-16, 16, 40], [ 16, 16, 40], [50, 16, 20]],
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// [[-50, 50, 0], [-16, 50, 20], [ 16, 50, 20], [50, 50, 0]]
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// ];
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// debug_bezier_patches(patches=[patch], size=1, showcps=true);
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// pts = bezier_patch_points(patch, [0:0.2:1], [0:0.2:1]);
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136
joiners.scad
136
joiners.scad
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@ -1223,6 +1223,8 @@ module rabbit_clip(type, length, width, snap, thickness, depth, compression=0.1
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// Section: Splines
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// Module: hirth()
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// Synopsis: Creates a Hirth face spline that locks together two cylinders.
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// SynTags: Geom
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// Usage:
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// hirth(n, ir|id=, or|od=, tooth_angle, [cone_angle=], [chamfer=], [rounding=], [base=], [crop=], [anchor=], [spin=], [orient=]
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// Description:
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@ -1232,7 +1234,7 @@ module rabbit_clip(type, length, width, snap, thickness, depth, compression=0.1
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// Each tooth is a triangle that grows larger with radius. You specify a nominal tooth angle; the actual tooth
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// angle will be slightly different.
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// .
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// You can also specify a cone_angle which raises or lowers the angle of the teeth. When you do this you ened to
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// You can also specify a cone_angle which raises or lowers the angle of the teeth. When you do this you need to
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// mate splines with opposite angles such as -20 and +20. The splines appear centered at the origin so that two
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// splines will mate if their centers coincide. Therefore `attach(CENTER,CENTER)` will produce two mating splines
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// assuming that they are rotated correctly. The bottom anchors will be at the bottom of the spline base. The top
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@ -1247,54 +1249,72 @@ module rabbit_clip(type, length, width, snap, thickness, depth, compression=0.1
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// to remove. The teeth valleys are chamfered by half the specified value to ensure that there is room for the parts
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// to mate. The base is added based on the unchamfered dimensions of the joint, and the "teeth_bot" anchor is located
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// based on the unchamfered dimensions.
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// .
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// By default the teeth are symmetric, which is ideal for registration and for situations where loading may occur in either
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// direction. The skew parameter will skew the teeth by the specified amount, where a skew of ±1 gives a tooth with a vertical
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// side either on the left or the right. Intermediate values will produce partially skewed teeth. Note that the skew
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// applies after the tooth profile is computed with the specified tooth_angle, which means that the skewed tooth will
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// have an altered tooth angle from the one specified.
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// .
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// The joint is constructed with a tooth peak aligned with the X+ axis.
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// For two hirth joints to mate they must have the same tooth count, opposite cone angles, and the chamfer/rounding values
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// must be equal. (One can be chamfered and one rounded, but with the same value.) The rotation required to mate the parts
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// depends on the skew and whether the tooth count is odd or even. To apply this rotation automatically, set `rot=true`.
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// Named Anchors:
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// "teeth_bot" = center of the joint, aligned with the bottom of the (unchamfered) teeth, pointing DOWN.
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// "mate" = center of the joint, pointing UP, but with the correct spin so that the part will mate with a compatible parent joint.
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// "teeth_bot" = center of the joint, aligned with the bottom of the (unchamfered/unrounded) teeth, pointing DOWN.
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// Arguments:
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// n = number of teeth
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// ir/id = inner radius or diameter
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// or/od = outer radius or diameter
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// tooth_angle = nominal tooth angle. Default: 60
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// cone_angle = raise or lower the angle of the teeth in the radial direction. Default: 0
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// skew = skew the tooth shape. Default: 0
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// chamfer = chamfer teeth by this fraction at tips and half this fraction at valleys. Default: 0
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// roudning = round the teeth by this fraction at the tips, and half this fraction at valleys. Default: 0
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// rounding = round the teeth by this fraction at the tips, and half this fraction at valleys. Default: 0
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// rot = if true rotate so the part will mate (via attachment) with another identical part. Default: false
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// base = add base of this height to the bottom. Default: 1
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// crop = crop to a cylindrical shape. Default: false
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// anchor = Translate so anchor point is at origin (0,0,0). See [anchor](attachments.scad#subsection-anchor). Default: `CENTER`
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// spin = Rotate this many degrees around the Z axis after anchor. See [spin](attachments.scad#subsection-spin). Default: `0`
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// orient = Vector to rotate top towards, after spin. See [orient](attachments.scad#subsection-orient). Default: `UP`
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// Example: Basic uncropped hirth spline
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// Example(3D,NoScale): Basic uncropped hirth spline
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// hirth(32,20,50);
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// Example: Raise cone angle
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// Example(3D,NoScale): Raise cone angle
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// hirth(32,20,50,cone_angle=30);
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// Example: Lower cone angle
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// Example(3D,NoScale): Lower cone angle
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// hirth(32,20,50,cone_angle=-30);
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// Example: Adding a large base
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// Example(3D,NoScale): Adding a large base
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// hirth(20,20,50,base=20);
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// Example: Only 8 teeth, with chamfering
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// Example(3D,NoScale): Only 8 teeth, with chamfering
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// hirth(8,20,50,tooth_angle=60,base=10,chamfer=.1);
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// Example: Only 8 teeth, cropped
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// Example(3D,NoScale): Only 8 teeth, cropped
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// hirth(8,20,50,tooth_angle=60,base=10,chamfer=.1, crop=true);
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// Example: Only 8 teeth, with rounding
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// Example(3D,NoScale): Only 8 teeth, with rounding
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// hirth(8,20,50,tooth_angle=60,base=10,rounding=.1);
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// Example: Only 8 teeth, different tooth angle, cropping with $fn to crop cylinder aligned with teeth
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// Example(3D,NoScale): Only 8 teeth, different tooth angle, cropping with $fn to crop cylinder aligned with teeth
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// hirth(8,20,50,tooth_angle=90,base=10,rounding=.05,crop=true,$fn=48);
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// Example: Two identical parts joined together (with 1 unit offset to reveal the joint line). With odd tooth count you can use the CENTER anchor for the child and the teeth line up correctly.
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// Example(3D,NoScale): Two identical parts joined together (with 1 unit offset to reveal the joint line). With odd tooth count and no skew the teeth line up correctly:
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// hirth(27,20,50, tooth_angle=60,base=2,chamfer=.05)
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// up(1) attach(CENTER,CENTER)
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// hirth(27,20,50, tooth_angle=60,base=2,chamfer=.05);
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// Example: Two conical parts joined together, with opposite cone angles for a correct joint. With an even tooth count you must use the "mate" anchor for correct alignment of the teeth.
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// Example(3D,NoScale): Two conical parts joined together, with opposite cone angles for a correct joint. With an even tooth count one part needs to be rotated for the parts to align:
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// hirth(26,20,50, tooth_angle=60,base=2,cone_angle=30,chamfer=.05)
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// up(1) attach(CENTER,"mate")
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// hirth(26,20,50, tooth_angle=60,base=2,cone_angle=-30, chamfer=.05);
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// up(1) attach(CENTER,CENTER)
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// hirth(26,20,50, tooth_angle=60,base=2,cone_angle=-30, chamfer=.05, rot=true);
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// Example(3D,NoScale): Using skew to create teeth with vertical faces
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// hirth(17,20,50,skew=-1, base=5, chamfer=0.05);
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// Example(3D,NoScale): If you want to change how tall the teeth are you do that by changing the tooth angle. Increasing the tooth angle makes the teeth shorter:
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// hirth(17,20,50,tooth_angle=120,skew=0, base=5, rounding=0.05, crop=true);
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module hirth(n, ir, or, id, od, tooth_angle=60, cone_angle=0, chamfer, rounding, base=1, crop=false, orient,anchor,spin)
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module hirth(n, ir, or, id, od, tooth_angle=60, cone_angle=0, chamfer, rounding, base=1, crop=false,skew=0, rot=false, orient,anchor,spin)
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{
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ir = get_radius(r=ir,d=id);
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or = get_radius(r=or,d=od);
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dummy = assert(all_positive([ir]), "ir/id must be a positive value")
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assert(all_positive([or]), "or/od must be a positive value")
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assert(is_int(n) && n>1, "n must be an integer larger than 1")
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assert(is_finite(skew) && abs(skew)<=1, "skew must be a number between -1 and 1")
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assert(ir<or, "inside radius (ir/id) must be smaller than outside radius (or/od)")
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assert(all_positive([tooth_angle]) && tooth_angle<360*(n-1)/2/n, str("tooth angle must be between 0 and ",360*(n-1)/2/n," for spline with ",n," teeth."))
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assert(num_defined([chamfer,rounding]) <=1, "Cannot define both chamfer and rounding")
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@ -1302,73 +1322,67 @@ module hirth(n, ir, or, id, od, tooth_angle=60, cone_angle=0, chamfer, rounding,
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assert(is_undef(rounding) || all_nonnegative([rounding]) && rounding<1/2, "rounding must be a non-negative value smaller than 1/2")
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assert(all_positive([base]), "base must be a positive value") ;
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tooth_height = sin(180/n) / tan(tooth_angle/2); // Normalized tooth height
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conic_ht = tan(cone_angle); // Normalized height change corresponding to the cone angle
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ridge_angle = atan(tooth_height/2 + conic_ht);
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valley_angle = atan(-tooth_height/2 + conic_ht);
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cone_height = -tan(cone_angle); // Normalized height change corresponding to the cone angle
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ridge_angle = atan(tooth_height/2 + cone_height);
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valley_angle = atan(-tooth_height/2 + cone_height);
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angle = 180/n; // Half the angle occupied by each tooth going around the circle
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factor = crop ? 3 : 1; // Make it oversized when crop is true
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profile = is_undef(rounding) || rounding==0 ?
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let(
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chamfer=default(chamfer,0),
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vchamf = chamfer*(ridge_angle-valley_angle),
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pts = [
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[-angle*(1-chamfer/2), valley_angle+vchamf/2],
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[-angle*chamfer, ridge_angle-vchamf]
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]
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)
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concat(pts, reverse(xflip(pts)))
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: let(
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vround=rounding*(ridge_angle-valley_angle),
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profpts = [
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[ -angle, valley_angle+vround/2],
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[ -angle*(1-rounding/2), valley_angle+vround/2],
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[ -angle*rounding, ridge_angle-vround],
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[ 0, ridge_angle-vround]
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],
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// Using computed values for the joints lead to round-off error issues
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joints = [(profpts[1]-profpts[0]).x, (profpts[3]-profpts[2]).x],
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segs = max(16,segs(or*rounding)),
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rpts = round_corners(profpts, joint=joints,closed=false,$fn=segs)
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)
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concat(rpts, reverse(xflip(select(rpts,1,-2))));
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// project spherical coordinate point onto cylinder of radius r
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// project spherical coordinate point onto cylinder of radius r
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cyl_proj = function (r,theta_phi)
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[for(pt=theta_phi)
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let(xyz = spherical_to_xyz(1,pt[0], 90-pt[1]))
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r * xyz / norm(point2d(xyz))];
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bottom = min([tan(valley_angle)*ir,tan(valley_angle)*or])-base;
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safebottom = min([tan(valley_angle)*ir/factor,tan(valley_angle)*or*factor])-base-(crop?1:0);
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edge = cyl_proj(or,[[-angle, valley_angle], [0, ridge_angle]]);
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cutfrac = first_defined([chamfer,rounding,0]);
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rounding = rounding==0? undef:rounding;
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ridgecut=xyz_to_spherical(lerp(edge[0],edge[1], 1-cutfrac));
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valleycut=xyz_to_spherical(lerp(edge[0],edge[1], cutfrac/2));
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ridge_chamf = [ridgecut.y,90-ridgecut.z];
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valley_chamf = [valleycut.y,90-valleycut.z];
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basicprof = [
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if (is_def(rounding)) [-angle, valley_chamf.y],
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valley_chamf,
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ridge_chamf
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];
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full = deduplicate(concat(basicprof, reverse(xflip(basicprof))));
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skewed = back(valley_angle, skew(sxy=skew*angle/(ridge_angle-valley_angle),fwd(valley_angle,full)));
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profile = is_undef(rounding) ? skewed
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:
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let(
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segs = max(16,segs(or*rounding)),
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// Using computed values for the joints lead to round-off error issues
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joints = [(skewed[1]-skewed[0]).x, (skewed[3]-skewed[2]).x/2, (skewed[3]-skewed[2]).x/2,(skewed[5]-skewed[4]).x ],
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roundpts = round_corners(skewed, joint=joints, closed=false,$fn=segs)
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)
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roundpts;
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topinner = [for(ang=lerpn(0,360,n,endpoint=false))
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each zrot(ang,cyl_proj(ir/factor,profile))];
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topouter = [for(ang=lerpn(0,360,n,endpoint=false))
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each zrot(ang,cyl_proj(factor*or,profile))];
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bottom = min([tan(valley_angle)*ir,tan(valley_angle)*or])-base-cone_height*ir;
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safebottom = min([tan(valley_angle)*ir/factor,tan(valley_angle)*or*factor])-base-(crop?1:0)-cone_height*ir;
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ang_ofs = !rot ? -skew*angle
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: n%2==0 ? -(angle-skew*angle) - skew*angle
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: -angle*(2-skew)-skew*angle;
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topinner = down(cone_height*ir,[for(ang=lerpn(0,360,n,endpoint=false))
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each zrot(ang+ang_ofs,cyl_proj(ir/factor,profile))]);
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topouter = down(cone_height*ir,[for(ang=lerpn(0,360,n,endpoint=false))
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each zrot(ang+ang_ofs,cyl_proj(factor*or,profile))]);
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botinner = [for(val=topinner) [val.x,val.y,safebottom]];
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botouter = [for(val=topouter) [val.x,val.y,safebottom]];
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vert = [topouter, topinner, botinner, botouter];
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anchors = [
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named_anchor("teeth_bot", [0,0,bottom], DOWN),
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named_anchor("mate", [0,0,0], UP, spin=n%2==0 ? 180/n : 0)
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named_anchor("teeth_bot", [0,0,bottom], DOWN)
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];
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attachable(anchor=anchor,spin=spin,orient=orient, r=or, h=-2*bottom,anchors=anchors){
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intersection(){
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vnf_polyhedron(vnf_vertex_array(vert, reverse=true, col_wrap=true, row_wrap=true),convexity=min(10,n));
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if (crop)
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zmove(bottom)tube(or=or,ir=ir,height=4*or,anchor=BOT);
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zmove(bottom)tube(or=or,ir=ir,height=4*or,anchor=BOT,$fa=1,$fs=1);
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}
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children();
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}
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}
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// vim: expandtab tabstop=4 shiftwidth=4 softtabstop=4 nowrap
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Reference in a new issue