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https://github.com/BelfrySCAD/BOSL2.git
synced 2024-12-29 16:29:40 +00:00
move linear_sweep and spiral_sweep to skin.scad
This commit is contained in:
parent
9a71c5072b
commit
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5 changed files with 240 additions and 228 deletions
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@ -117,7 +117,7 @@ module pco1810_neck(wall=2, anchor="support-ring", spin=0, orient=UP)
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pitch=thread_pitch,
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thread_depth=thread_h+0.1,
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flank_angle=flank_angle,
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twist=810,
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turns=810/360,
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higbee=thread_h*2,
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anchor=TOP
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);
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@ -195,7 +195,7 @@ module pco1810_cap(wall=2, texture="none", anchor=BOTTOM, spin=0, orient=UP)
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}
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up(wall) cyl(d=cap_id, h=tamper_ring_h+wall, anchor=BOTTOM);
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}
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up(wall+2) thread_helix(d=thread_od-thread_depth*2, pitch=thread_pitch, thread_depth=thread_depth, flank_angle=flank_angle, twist=810, higbee=thread_depth, internal=true, anchor=BOTTOM);
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up(wall+2) thread_helix(d=thread_od-thread_depth*2, pitch=thread_pitch, thread_depth=thread_depth, flank_angle=flank_angle, twist=810/360, higbee=thread_depth, internal=true, anchor=BOTTOM);
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}
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children();
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}
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@ -310,7 +310,7 @@ module pco1881_neck(wall=2, anchor="support-ring", spin=0, orient=UP)
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pitch=thread_pitch,
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thread_depth=thread_h+0.1,
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flank_angle=flank_angle,
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twist=650,
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twist=650/360,
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higbee=thread_h*2,
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anchor=TOP
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);
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@ -379,7 +379,7 @@ module pco1881_cap(wall=2, texture="none", anchor=BOTTOM, spin=0, orient=UP)
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}
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up(wall) cyl(d=28.58, h=11.2+wall, anchor=BOTTOM);
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}
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up(wall+2) thread_helix(d=25.5, pitch=2.7, thread_depth=1.6, flank_angle=15, twist=650, higbee=1.6, internal=true, anchor=BOTTOM);
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up(wall+2) thread_helix(d=25.5, pitch=2.7, thread_depth=1.6, flank_angle=15, twist=650/360, higbee=1.6, internal=true, anchor=BOTTOM);
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}
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children();
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}
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@ -482,7 +482,7 @@ module generic_bottle_neck(
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pitch = thread_pitch,
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thread_depth = thread_h + 0.1 * diamMagMult,
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flank_angle = flank_angle,
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twist = 360 * (height - pitch - lip_roundover_r) * .6167 / pitch,
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turns = (height - pitch - lip_roundover_r) * .6167 / pitch,
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higbee = thread_h * 2,
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anchor = TOP
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);
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@ -590,7 +590,7 @@ module generic_bottle_cap(
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}
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difference(){
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up(wall + pitch / 2) {
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thread_helix(d = neckOuterDTol, pitch = pitch, thread_depth = threadDepth, flank_angle = flank_angle, twist = 360 * ((height - pitch) / pitch), higbee = threadDepth, internal = true, anchor = BOTTOM);
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thread_helix(d = neckOuterDTol, pitch = pitch, thread_depth = threadDepth, flank_angle = flank_angle, turns = ((height - pitch) / pitch), higbee = threadDepth, internal = true, anchor = BOTTOM);
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}
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}
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}
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@ -1130,7 +1130,7 @@ module sp_neck(diam,type,wall,id,style="L",bead=false, anchor, spin, orient)
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up((H+extra_bot)/2){
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difference(){
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union(){
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thread_helix(d=T-.01, profile=profile, pitch = INCH/tpi, twist=twist+2*higang, higbee=higlen, anchor=TOP);
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thread_helix(d=T-.01, profile=profile, pitch = INCH/tpi, turns=(twist+2*higang)/360, higbee=higlen, anchor=TOP);
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cylinder(d=T-depth*2,l=H,anchor=TOP);
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if (bead)
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down(bead_shift)
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@ -348,99 +348,6 @@ module extrude_from_to(pt1, pt2, convexity, twist, scale, slices) {
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// Module: spiral_sweep()
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// Description:
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// Takes a closed 2D polygon path, centered on the XY plane, and sweeps/extrudes it along a 3D spiral path
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// of a given radius, height and twist. The origin in the profile traces out the helix of the specified radius.
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// If twist is positive the path will be right-handed; if twist is negative the path will be left-handed.
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// .
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// Higbee specifies tapering applied to the ends of the extrusion and is given as the linear distance
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// over which to taper.
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// Arguments:
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// poly = Array of points of a polygon path, to be extruded.
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// h = height of the spiral to extrude along.
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// r = Radius of the spiral to extrude along. Default: 50
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// twist = number of degrees of rotation to spiral up along height.
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// ---
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// d = Diameter of the spiral to extrude along.
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// higbee = Length to taper thread ends over.
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// higbee1 = Taper length at start
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// higbee2 = Taper length at end
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// internal = direction to taper the threads with higbee. If true threads taper outward; if false they taper inward. 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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// center = If given, overrides `anchor`. A true value sets `anchor=CENTER`, false sets `anchor=BOTTOM`.
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// Example:
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// poly = [[-10,0], [-3,-5], [3,-5], [10,0], [0,-30]];
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// spiral_sweep(poly, h=200, r=50, twist=1080, $fn=36);
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module spiral_sweep(poly, h, r, twist=360, higbee, center, r1, r2, d, d1, d2, higbee1, higbee2, internal=false, anchor, spin=0, orient=UP) {
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higsample = 10; // Oversample factor for higbee tapering
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dummy1=assert(is_num(twist) && twist != 0);
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bounds = pointlist_bounds(poly);
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yctr = (bounds[0].y+bounds[1].y)/2;
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xmin = bounds[0].x;
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xmax = bounds[1].x;
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poly = path3d(clockwise_polygon(poly));
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anchor = get_anchor(anchor,center,BOT,BOT);
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r1 = get_radius(r1=r1, r=r, d1=d1, d=d, dflt=50);
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r2 = get_radius(r1=r2, r=r, d1=d2, d=d, dflt=50);
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sides = segs(max(r1,r2));
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dir = sign(twist);
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ang_step = 360/sides*dir;
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anglist = [for(ang = [0:ang_step:twist-EPSILON]) ang,
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twist];
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higbee1 = first_defined([higbee1, higbee, 0]);
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higbee2 = first_defined([higbee2, higbee, 0]);
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higang1 = 360 * higbee1 / (2 * r1 * PI);
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higang2 = 360 * higbee2 / (2 * r2 * PI);
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dummy2=assert(higbee1>=0 && higbee2>=0)
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assert(higang1 < dir*twist/2,"Higbee1 is more than half the threads")
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assert(higang2 < dir*twist/2,"Higbee2 is more than half the threads");
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function polygon_r(N,theta) =
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let( alpha = 360/N )
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cos(alpha/2)/(cos(posmod(theta,alpha)-alpha/2));
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higofs = pow(0.05,2); // Smallest hig scale is the square root of this value
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function taperfunc(x) = sqrt((1-higofs)*x+higofs);
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interp_ang = [
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for(i=idx(anglist,e=-2))
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each lerpn(anglist[i],anglist[i+1],
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(higang1>0 && higang1>dir*anglist[i+1]
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|| (higang2>0 && higang2>dir*(twist-anglist[i]))) ? ceil((anglist[i+1]-anglist[i])/ang_step*higsample)
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: 1,
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endpoint=false),
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last(anglist)
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];
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skewmat = affine3d_skew_xz(xa=atan2(r2-r1,h));
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points = [
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for (a = interp_ang) let (
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hsc = dir*a<higang1 ? taperfunc(dir*a/higang1)
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: dir*(twist-a)<higang2 ? taperfunc(dir*(twist-a)/higang2)
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: 1,
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u = a/twist,
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r = lerp(r1,r2,u),
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mat = affine3d_zrot(a)
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* affine3d_translate([polygon_r(sides,a)*r, 0, h * (u-0.5)])
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* affine3d_xrot(90)
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* skewmat
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* scale([hsc,lerp(hsc,1,0.25),1], cp=[internal ? xmax : xmin, yctr, 0]),
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pts = apply(mat, poly)
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) pts
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];
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vnf = vnf_vertex_array(
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points, col_wrap=true, caps=true, reverse=dir>0?true:false,
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style=higbee1>0 || higbee2>0 ? "quincunx" : "alt"
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);
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attachable(anchor,spin,orient, r1=r1, r2=r2, l=h) {
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vnf_polyhedron(vnf, convexity=ceil(2*dir*twist/360));
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children();
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}
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}
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// Module: path_extrude()
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// Description:
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// Extrudes 2D children along a 3D path. This may be slow.
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120
regions.scad
120
regions.scad
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@ -591,126 +591,6 @@ function region_parts(region) =
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];
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// Section: Region Extrusion and VNFs
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// Function&Module: linear_sweep()
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// Usage:
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// linear_sweep(region, height, [center], [slices], [twist], [scale], [style], [convexity]) {attachments};
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// Description:
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// If called as a module, creates a polyhedron that is the linear extrusion of the given 2D region or polygon.
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// If called as a function, returns a VNF that can be used to generate a polyhedron of the linear extrusion
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// of the given 2D region or polygon. The benefit of using this, over using `linear_extrude region(rgn)` is
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// that it supports `anchor`, `spin`, `orient` and attachments. You can also make more refined
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// twisted extrusions by using `maxseg` to subsample flat faces.
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// Note that the center option centers vertically using the named anchor "zcenter" whereas
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// `anchor=CENTER` centers the entire shape relative to
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// the shape's centroid, or other centerpoint you specify. The centerpoint can be "centroid", "mean", "box" or
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// a custom point location.
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// Arguments:
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// region = The 2D [Region](regions.scad) or polygon that is to be extruded.
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// height = The height to extrude the region. Default: 1
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// center = If true, the created polyhedron will be vertically centered. If false, it will be extruded upwards from the XY plane. Default: `false`
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// slices = The number of slices to divide the shape into along the Z axis, to allow refinement of detail, especially when working with a twist. Default: `twist/5`
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// maxseg = If given, then any long segments of the region will be subdivided to be shorter than this length. This can refine twisting flat faces a lot. Default: `undef` (no subsampling)
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// twist = The number of degrees to rotate the shape clockwise around the Z axis, as it rises from bottom to top. Default: 0
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// scale = The amount to scale the shape, from bottom to top. Default: 1
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// style = The style to use when triangulating the surface of the object. Valid values are `"default"`, `"alt"`, or `"quincunx"`.
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// convexity = Max number of surfaces any single ray could pass through. Module use only.
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// anchor = Translate so anchor point is at origin (0,0,0). See [anchor](attachments.scad#subsection-anchor). Default: `"origin"`
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// atype = Set to "hull" or "intersect" to select anchor type. Default: "hull"
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// cp = Centerpoint for determining intersection anchors or centering the shape. Determintes the base of the anchor vector. Can be "centroid", "mean", "box" or a 3D point. Default: "centroid"
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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: Extruding a Compound Region.
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// rgn1 = [for (d=[10:10:60]) circle(d=d,$fn=8)];
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// rgn2 = [square(30,center=false)];
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// rgn3 = [for (size=[10:10:20]) move([15,15],p=square(size=size, center=true))];
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// mrgn = union(rgn1,rgn2);
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// orgn = difference(mrgn,rgn3);
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// linear_sweep(orgn,height=20,convexity=16);
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// Example: With Twist, Scale, Slices and Maxseg.
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// rgn1 = [for (d=[10:10:60]) circle(d=d,$fn=8)];
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// rgn2 = [square(30,center=false)];
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// rgn3 = [for (size=[10:10:20]) move([15,15],p=square(size=size, center=true))];
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// mrgn = union(rgn1,rgn2);
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// orgn = difference(mrgn,rgn3);
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// linear_sweep(orgn,height=50,maxseg=2,slices=40,twist=180,scale=0.5,convexity=16);
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// Example: Anchors on an Extruded Region
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// rgn1 = [for (d=[10:10:60]) circle(d=d,$fn=8)];
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// rgn2 = [square(30,center=false)];
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// rgn3 = [for (size=[10:10:20]) move([15,15],p=square(size=size, center=true))];
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// mrgn = union(rgn1,rgn2);
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// orgn = difference(mrgn,rgn3);
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// linear_sweep(orgn,height=20,convexity=16) show_anchors();
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module linear_sweep(region, height=1, center, twist=0, scale=1, slices, maxseg, style="default", convexity,
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spin=0, orient=UP, cp="centroid", anchor="origin", atype="hull") {
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region = force_region(region);
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dummy=assert(is_region(region),"Input is not a region");
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anchor = center ? "zcenter" : anchor;
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anchors = [named_anchor("zcenter", [0,0,height/2], UP)];
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vnf = linear_sweep(
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region, height=height,
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twist=twist, scale=scale,
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slices=slices, maxseg=maxseg,
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style=style
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);
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attachable(anchor,spin,orient, cp=cp, region=region, h=height, extent=atype=="hull", anchors=anchors) {
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vnf_polyhedron(vnf, convexity=convexity);
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children();
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}
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}
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function linear_sweep(region, height=1, center, twist=0, scale=1, slices,
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maxseg, style="default", cp="centroid", atype="hull", anchor, spin=0, orient=UP) =
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let(
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region = force_region(region)
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)
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assert(is_region(region), "Input is not a region")
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let(
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anchor = center ? "zcenter" : anchor,
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anchors = [named_anchor("zcenter", [0,0,height/2], UP)],
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regions = region_parts(region),
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slices = default(slices, floor(twist/5+1)),
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step = twist/slices,
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hstep = height/slices,
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trgns = [
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for (rgn=regions) [
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for (path=rgn) let(
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p = cleanup_path(path),
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path = is_undef(maxseg)? p : [
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for (seg=pair(p,true)) each
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let(steps=ceil(norm(seg.y-seg.x)/maxseg))
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lerpn(seg.x, seg.y, steps, false)
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]
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)
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rot(twist, p=scale([scale,scale],p=path))
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]
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],
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vnf = vnf_join([
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for (rgn = regions)
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for (pathnum = idx(rgn)) let(
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p = cleanup_path(rgn[pathnum]),
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path = is_undef(maxseg)? p : [
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for (seg=pair(p,true)) each
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let(steps=ceil(norm(seg.y-seg.x)/maxseg))
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lerpn(seg.x, seg.y, steps, false)
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],
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verts = [
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for (i=[0:1:slices]) let(
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sc = lerp(1, scale, i/slices),
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ang = i * step,
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h = i * hstep //- height/2
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) scale([sc,sc,1], p=rot(ang, p=path3d(path,h)))
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]
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) vnf_vertex_array(verts, caps=false, col_wrap=true, style=style),
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for (rgn = regions) vnf_from_region(rgn, ident(4), reverse=true),
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for (rgn = trgns) vnf_from_region(rgn, up(height), reverse=false)
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])
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) reorient(anchor,spin,orient, cp=cp, vnf=vnf, extent=atype=="hull", p=vnf, anchors=anchors);
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// Section: Offset and 2D Boolean Set Operations
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225
skin.scad
225
skin.scad
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@ -501,6 +501,231 @@ function skin(profiles, slices, refine=1, method="direct", sampling, caps, close
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reorient(anchor,spin,orient,vnf=vnf,p=vnf,extent=atype=="hull",cp=cp);
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// Function&Module: linear_sweep()
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// Usage:
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// linear_sweep(region, height, [center], [slices], [twist], [scale], [style], [convexity]) {attachments};
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// Description:
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// If called as a module, creates a polyhedron that is the linear extrusion of the given 2D region or polygon.
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// If called as a function, returns a VNF that can be used to generate a polyhedron of the linear extrusion
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// of the given 2D region or polygon. The benefit of using this, over using `linear_extrude region(rgn)` is
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// that it supports `anchor`, `spin`, `orient` and attachments. You can also make more refined
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// twisted extrusions by using `maxseg` to subsample flat faces.
|
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// Note that the center option centers vertically using the named anchor "zcenter" whereas
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// `anchor=CENTER` centers the entire shape relative to
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// the shape's centroid, or other centerpoint you specify. The centerpoint can be "centroid", "mean", "box" or
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// a custom point location.
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// Arguments:
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// region = The 2D [Region](regions.scad) or polygon that is to be extruded.
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// height = The height to extrude the region. Default: 1
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// center = If true, the created polyhedron will be vertically centered. If false, it will be extruded upwards from the XY plane. Default: `false`
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// slices = The number of slices to divide the shape into along the Z axis, to allow refinement of detail, especially when working with a twist. Default: `twist/5`
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// maxseg = If given, then any long segments of the region will be subdivided to be shorter than this length. This can refine twisting flat faces a lot. Default: `undef` (no subsampling)
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// twist = The number of degrees to rotate the shape clockwise around the Z axis, as it rises from bottom to top. Default: 0
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// scale = The amount to scale the shape, from bottom to top. Default: 1
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// style = The style to use when triangulating the surface of the object. Valid values are `"default"`, `"alt"`, or `"quincunx"`.
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// convexity = Max number of surfaces any single ray could pass through. Module use only.
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// anchor = Translate so anchor point is at origin (0,0,0). See [anchor](attachments.scad#subsection-anchor). Default: `"origin"`
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// atype = Set to "hull" or "intersect" to select anchor type. Default: "hull"
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// cp = Centerpoint for determining intersection anchors or centering the shape. Determintes the base of the anchor vector. Can be "centroid", "mean", "box" or a 3D point. Default: "centroid"
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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: Extruding a Compound Region.
|
||||
// rgn1 = [for (d=[10:10:60]) circle(d=d,$fn=8)];
|
||||
// rgn2 = [square(30,center=false)];
|
||||
// rgn3 = [for (size=[10:10:20]) move([15,15],p=square(size=size, center=true))];
|
||||
// mrgn = union(rgn1,rgn2);
|
||||
// orgn = difference(mrgn,rgn3);
|
||||
// linear_sweep(orgn,height=20,convexity=16);
|
||||
// Example: With Twist, Scale, Slices and Maxseg.
|
||||
// rgn1 = [for (d=[10:10:60]) circle(d=d,$fn=8)];
|
||||
// rgn2 = [square(30,center=false)];
|
||||
// rgn3 = [for (size=[10:10:20]) move([15,15],p=square(size=size, center=true))];
|
||||
// mrgn = union(rgn1,rgn2);
|
||||
// orgn = difference(mrgn,rgn3);
|
||||
// linear_sweep(orgn,height=50,maxseg=2,slices=40,twist=180,scale=0.5,convexity=16);
|
||||
// Example: Anchors on an Extruded Region
|
||||
// rgn1 = [for (d=[10:10:60]) circle(d=d,$fn=8)];
|
||||
// rgn2 = [square(30,center=false)];
|
||||
// rgn3 = [for (size=[10:10:20]) move([15,15],p=square(size=size, center=true))];
|
||||
// mrgn = union(rgn1,rgn2);
|
||||
// orgn = difference(mrgn,rgn3);
|
||||
// linear_sweep(orgn,height=20,convexity=16) show_anchors();
|
||||
module linear_sweep(region, height=1, center, twist=0, scale=1, slices, maxseg, style="default", convexity,
|
||||
spin=0, orient=UP, cp="centroid", anchor="origin", atype="hull") {
|
||||
region = force_region(region);
|
||||
dummy=assert(is_region(region),"Input is not a region");
|
||||
anchor = center ? "zcenter" : anchor;
|
||||
anchors = [named_anchor("zcenter", [0,0,height/2], UP)];
|
||||
vnf = linear_sweep(
|
||||
region, height=height,
|
||||
twist=twist, scale=scale,
|
||||
slices=slices, maxseg=maxseg,
|
||||
style=style
|
||||
);
|
||||
attachable(anchor,spin,orient, cp=cp, region=region, h=height, extent=atype=="hull", anchors=anchors) {
|
||||
vnf_polyhedron(vnf, convexity=convexity);
|
||||
children();
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
function linear_sweep(region, height=1, center, twist=0, scale=1, slices,
|
||||
maxseg, style="default", cp="centroid", atype="hull", anchor, spin=0, orient=UP) =
|
||||
let(
|
||||
region = force_region(region)
|
||||
)
|
||||
assert(is_region(region), "Input is not a region")
|
||||
let(
|
||||
anchor = center ? "zcenter" : anchor,
|
||||
anchors = [named_anchor("zcenter", [0,0,height/2], UP)],
|
||||
regions = region_parts(region),
|
||||
slices = default(slices, floor(twist/5+1)),
|
||||
step = twist/slices,
|
||||
hstep = height/slices,
|
||||
trgns = [
|
||||
for (rgn=regions) [
|
||||
for (path=rgn) let(
|
||||
p = cleanup_path(path),
|
||||
path = is_undef(maxseg)? p : [
|
||||
for (seg=pair(p,true)) each
|
||||
let(steps=ceil(norm(seg.y-seg.x)/maxseg))
|
||||
lerpn(seg.x, seg.y, steps, false)
|
||||
]
|
||||
)
|
||||
rot(twist, p=scale([scale,scale],p=path))
|
||||
]
|
||||
],
|
||||
vnf = vnf_join([
|
||||
for (rgn = regions)
|
||||
for (pathnum = idx(rgn)) let(
|
||||
p = cleanup_path(rgn[pathnum]),
|
||||
path = is_undef(maxseg)? p : [
|
||||
for (seg=pair(p,true)) each
|
||||
let(steps=ceil(norm(seg.y-seg.x)/maxseg))
|
||||
lerpn(seg.x, seg.y, steps, false)
|
||||
],
|
||||
verts = [
|
||||
for (i=[0:1:slices]) let(
|
||||
sc = lerp(1, scale, i/slices),
|
||||
ang = i * step,
|
||||
h = i * hstep //- height/2
|
||||
) scale([sc,sc,1], p=rot(ang, p=path3d(path,h)))
|
||||
]
|
||||
) vnf_vertex_array(verts, caps=false, col_wrap=true, style=style),
|
||||
for (rgn = regions) vnf_from_region(rgn, ident(4), reverse=true),
|
||||
for (rgn = trgns) vnf_from_region(rgn, up(height), reverse=false)
|
||||
])
|
||||
) reorient(anchor,spin,orient, cp=cp, vnf=vnf, extent=atype=="hull", p=vnf, anchors=anchors);
|
||||
|
||||
|
||||
|
||||
// Function&Module: spiral_sweep()
|
||||
// Usage:
|
||||
// spiral_sweep(poly, h, r, turns, [higbee], [center], [r1], [r2], [d], [d1], [d2], [higbee1], [higbee2], [internal], [anchor], [spin], [orient]);
|
||||
// vnf = spiral_sweep(poly, h, r, turns, ...);
|
||||
// Description:
|
||||
// Takes a closed 2D polygon path, centered on the XY plane, and sweeps/extrudes it along a 3D spiral path
|
||||
// of a given radius, height and degrees of rotation. The origin in the profile traces out the helix of the specified radius.
|
||||
// If turns is positive the path will be right-handed; if turns is negative the path will be left-handed.
|
||||
// .
|
||||
// Higbee specifies tapering applied to the ends of the extrusion and is given as the linear distance
|
||||
// over which to taper.
|
||||
// Arguments:
|
||||
// poly = Array of points of a polygon path, to be extruded.
|
||||
// h = height of the spiral to extrude along.
|
||||
// r = Radius of the spiral to extrude along. Default: 50
|
||||
// turns = number of revolutions to spiral up along the height.
|
||||
// ---
|
||||
// d = Diameter of the spiral to extrude along.
|
||||
// higbee = Length to taper thread ends over.
|
||||
// higbee1 = Taper length at start
|
||||
// higbee2 = Taper length at end
|
||||
// internal = direction to taper the threads with higbee. If true threads taper outward; if false they taper inward. Default: false
|
||||
// anchor = Translate so anchor point is at origin (0,0,0). See [anchor](attachments.scad#subsection-anchor). Default: `CENTER`
|
||||
// spin = Rotate this many degrees around the Z axis after anchor. See [spin](attachments.scad#subsection-spin). Default: `0`
|
||||
// orient = Vector to rotate top towards, after spin. See [orient](attachments.scad#subsection-orient). Default: `UP`
|
||||
// center = If given, overrides `anchor`. A true value sets `anchor=CENTER`, false sets `anchor=BOTTOM`.
|
||||
// Example:
|
||||
// poly = [[-10,0], [-3,-5], [3,-5], [10,0], [0,-30]];
|
||||
// spiral_sweep(poly, h=200, r=50, turns=3, $fn=36);
|
||||
function _taperfunc(x) =
|
||||
let(higofs = pow(0.05,2)) // Smallest hig scale is the square root of this value
|
||||
sqrt((1-higofs)*x+higofs);
|
||||
function _ss_polygon_r(N,theta) =
|
||||
let( alpha = 360/N )
|
||||
cos(alpha/2)/(cos(posmod(theta,alpha)-alpha/2));
|
||||
function spiral_sweep(poly, h, r, turns=1, higbee, center, r1, r2, d, d1, d2, higbee1, higbee2, internal=false, anchor=CENTER, spin=0, orient=UP) =
|
||||
assert(is_num(turns) && turns != 0)
|
||||
let(
|
||||
twist = 360*turns,
|
||||
higsample = 10, // Oversample factor for higbee tapering
|
||||
bounds = pointlist_bounds(poly),
|
||||
yctr = (bounds[0].y+bounds[1].y)/2,
|
||||
xmin = bounds[0].x,
|
||||
xmax = bounds[1].x,
|
||||
poly = path3d(clockwise_polygon(poly)),
|
||||
anchor = get_anchor(anchor,center,BOT,BOT),
|
||||
r1 = get_radius(r1=r1, r=r, d1=d1, d=d, dflt=50),
|
||||
r2 = get_radius(r1=r2, r=r, d1=d2, d=d, dflt=50),
|
||||
sides = segs(max(r1,r2)),
|
||||
dir = sign(twist),
|
||||
ang_step = 360/sides*dir,
|
||||
anglist = [for(ang = [0:ang_step:twist-EPSILON]) ang,
|
||||
twist],
|
||||
higbee1 = first_defined([higbee1, higbee, 0]),
|
||||
higbee2 = first_defined([higbee2, higbee, 0]),
|
||||
higang1 = 360 * higbee1 / (2 * r1 * PI),
|
||||
higang2 = 360 * higbee2 / (2 * r2 * PI)
|
||||
)
|
||||
assert(higbee1>=0 && higbee2>=0)
|
||||
assert(higang1 < dir*twist/2,"Higbee1 is more than half the threads")
|
||||
assert(higang2 < dir*twist/2,"Higbee2 is more than half the threads")
|
||||
let(
|
||||
interp_ang = [
|
||||
for(i=idx(anglist,e=-2))
|
||||
each lerpn(anglist[i],anglist[i+1],
|
||||
(higang1>0 && higang1>dir*anglist[i+1]
|
||||
|| (higang2>0 && higang2>dir*(twist-anglist[i]))) ? ceil((anglist[i+1]-anglist[i])/ang_step*higsample)
|
||||
: 1,
|
||||
endpoint=false),
|
||||
last(anglist)
|
||||
],
|
||||
skewmat = affine3d_skew_xz(xa=atan2(r2-r1,h)),
|
||||
points = [
|
||||
for (a = interp_ang) let (
|
||||
hsc = dir*a<higang1 ? _taperfunc(dir*a/higang1)
|
||||
: dir*(twist-a)<higang2 ? _taperfunc(dir*(twist-a)/higang2)
|
||||
: 1,
|
||||
u = a/twist,
|
||||
r = lerp(r1,r2,u),
|
||||
mat = affine3d_zrot(a)
|
||||
* affine3d_translate([_ss_polygon_r(sides,a)*r, 0, h * (u-0.5)])
|
||||
* affine3d_xrot(90)
|
||||
* skewmat
|
||||
* scale([hsc,lerp(hsc,1,0.25),1], cp=[internal ? xmax : xmin, yctr, 0]),
|
||||
pts = apply(mat, poly)
|
||||
) pts
|
||||
],
|
||||
vnf = vnf_vertex_array(
|
||||
points, col_wrap=true, caps=true, reverse=dir>0?true:false,
|
||||
style=higbee1>0 || higbee2>0 ? "quincunx" : "alt"
|
||||
)
|
||||
)
|
||||
reorient(anchor,spin,orient, vnf=vnf, r1=r1, r2=r2, l=h, p=vnf);
|
||||
|
||||
|
||||
|
||||
module spiral_sweep(poly, h, r, turns=1, higbee, center, r1, r2, d, d1, d2, higbee1, higbee2, internal=false, anchor=CENTER, spin=0, orient=UP) {
|
||||
vnf = spiral_sweep(poly, h, r, turns, higbee, center, r1, r2, d, d1, d2, higbee1, higbee2, internal);
|
||||
attachable(anchor,spin,orient, r1=r1, r2=r2, l=h) {
|
||||
vnf_polyhedron(vnf, convexity=ceil(abs(2*turns)));
|
||||
children();
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
|
||||
// Function&Module: path_sweep()
|
||||
// Usage: As module
|
||||
// path_sweep(shape, path, [method], [normal=], [closed=], [twist=], [twist_by_length=], [symmetry=], [last_normal=], [tangent=], [relaxed=], [caps=], [style=], [convexity=], [anchor=], [cp=], [spin=], [orient=], [atype=]) {attachments};
|
||||
|
|
|
@ -1154,7 +1154,7 @@ module generic_threaded_nut(
|
|||
// pitch = Distance between threads. Default: 2mm/thread
|
||||
// thread_depth = Depth of threads from top to bottom.
|
||||
// flank_angle = Angle of thread faces to plane perpendicular to screw. Default: 15 degrees.
|
||||
// twist = Number of degrees to rotate thread around. Default: 720 degrees.
|
||||
// turns = Number of revolutions to rotate thread around. Default: 2.
|
||||
// ---
|
||||
// profile = If an asymmetrical thread profile is needed, it can be specified here.
|
||||
// starts = The number of thread starts. Default: 1
|
||||
|
@ -1203,18 +1203,18 @@ module generic_threaded_nut(
|
|||
// right(14)back(14)text("angle",size=4,halign="center");
|
||||
// }
|
||||
// Examples:
|
||||
// thread_helix(d=10, pitch=2, thread_depth=0.75, flank_angle=15, twist=900, $fn=72);
|
||||
// thread_helix(d=10, pitch=2, thread_depth=0.75, flank_angle=15, twist=900, higbee=1, $fn=72);
|
||||
// thread_helix(d=10, pitch=2, thread_depth=0.75, flank_angle=15, twist=720, higbee=2, internal=true, $fn=72);
|
||||
// thread_helix(d=10, pitch=2, thread_depth=0.75, flank_angle=15, twist=360, left_handed=true, higbee=1, $fn=36);
|
||||
// thread_helix(d=10, pitch=2, thread_depth=0.75, flank_angle=15, turns=2.5, $fn=72);
|
||||
// thread_helix(d=10, pitch=2, thread_depth=0.75, flank_angle=15, turns=2.5, higbee=1, $fn=72);
|
||||
// thread_helix(d=10, pitch=2, thread_depth=0.75, flank_angle=15, turns=2, higbee=2, internal=true, $fn=72);
|
||||
// thread_helix(d=10, pitch=2, thread_depth=0.75, flank_angle=15, turns=1, left_handed=true, higbee=1, $fn=36);
|
||||
module thread_helix(
|
||||
d, pitch, thread_depth, flank_angle, twist=720,
|
||||
d, pitch, thread_depth, flank_angle, turns=2,
|
||||
profile, starts=1, left_handed=false, internal=false,
|
||||
d1, d2, higbee, higbee1, higbee2,
|
||||
anchor, spin, orient
|
||||
) {
|
||||
dummy1=assert(is_undef(profile) || !any_defined([thread_depth, flank_angle]),"Cannot give thread_depth or flank_angle with a profile");
|
||||
h = pitch*starts*twist/360;
|
||||
h = pitch*starts*turns;
|
||||
r1 = get_radius(d1=d1, d=d, dflt=10);
|
||||
r2 = get_radius(d1=d2, d=d, dflt=10);
|
||||
profile = is_def(profile) ? profile :
|
||||
|
@ -1241,7 +1241,7 @@ module thread_helix(
|
|||
dir = left_handed? -1 : 1;
|
||||
attachable(anchor,spin,orient, r1=r1, r2=r2, l=h) {
|
||||
zrot_copies(n=starts) {
|
||||
spiral_sweep(pline, h=h, r1=r1, r2=r2, twist=twist*dir, higbee=higbee, higbee1=higbee1, higbee2=higbee2, internal=internal, anchor=CENTER);
|
||||
spiral_sweep(pline, h=h, r1=r1, r2=r2, turns=turns*dir, higbee=higbee, higbee1=higbee1, higbee2=higbee2, internal=internal, anchor=CENTER);
|
||||
}
|
||||
children();
|
||||
}
|
||||
|
|
Loading…
Reference in a new issue