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move linear_sweep and spiral_sweep to skin.scad

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This commit is contained in:
Adrian Mariano 2022-01-10 21:00:39 -05:00
parent 9a71c5072b
commit dd9b197678
5 changed files with 240 additions and 228 deletions
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14
bottlecaps.scad
View file

@ -117,7 +117,7 @@ module pco1810_neck(wall=2, anchor="support-ring", spin=0, orient=UP)
pitch=thread_pitch, pitch=thread_pitch,
thread_depth=thread_h+0.1, thread_depth=thread_h+0.1,
flank_angle=flank_angle, flank_angle=flank_angle,
twist=810, turns=810/360,
higbee=thread_h*2, higbee=thread_h*2,
anchor=TOP anchor=TOP
); );
@ -195,7 +195,7 @@ module pco1810_cap(wall=2, texture="none", anchor=BOTTOM, spin=0, orient=UP)
} }
up(wall) cyl(d=cap_id, h=tamper_ring_h+wall, anchor=BOTTOM); up(wall) cyl(d=cap_id, h=tamper_ring_h+wall, anchor=BOTTOM);
} }
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); 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);
} }
children(); children();
} }
@ -310,7 +310,7 @@ module pco1881_neck(wall=2, anchor="support-ring", spin=0, orient=UP)
pitch=thread_pitch, pitch=thread_pitch,
thread_depth=thread_h+0.1, thread_depth=thread_h+0.1,
flank_angle=flank_angle, flank_angle=flank_angle,
twist=650, twist=650/360,
higbee=thread_h*2, higbee=thread_h*2,
anchor=TOP anchor=TOP
); );
@ -379,7 +379,7 @@ module pco1881_cap(wall=2, texture="none", anchor=BOTTOM, spin=0, orient=UP)
} }
up(wall) cyl(d=28.58, h=11.2+wall, anchor=BOTTOM); up(wall) cyl(d=28.58, h=11.2+wall, anchor=BOTTOM);
} }
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); 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);
} }
children(); children();
} }
@ -482,7 +482,7 @@ module generic_bottle_neck(
pitch = thread_pitch, pitch = thread_pitch,
thread_depth = thread_h + 0.1 * diamMagMult, thread_depth = thread_h + 0.1 * diamMagMult,
flank_angle = flank_angle, flank_angle = flank_angle,
twist = 360 * (height - pitch - lip_roundover_r) * .6167 / pitch, turns = (height - pitch - lip_roundover_r) * .6167 / pitch,
higbee = thread_h * 2, higbee = thread_h * 2,
anchor = TOP anchor = TOP
); );
@ -590,7 +590,7 @@ module generic_bottle_cap(
} }
difference(){ difference(){
up(wall + pitch / 2) { up(wall + pitch / 2) {
thread_helix(d = neckOuterDTol, pitch = pitch, thread_depth = threadDepth, flank_angle = flank_angle, twist = 360 * ((height - pitch) / pitch), higbee = threadDepth, internal = true, anchor = BOTTOM); thread_helix(d = neckOuterDTol, pitch = pitch, thread_depth = threadDepth, flank_angle = flank_angle, turns = ((height - pitch) / pitch), higbee = threadDepth, internal = true, anchor = BOTTOM);
} }
} }
} }
@ -1130,7 +1130,7 @@ module sp_neck(diam,type,wall,id,style="L",bead=false, anchor, spin, orient)
up((H+extra_bot)/2){ up((H+extra_bot)/2){
difference(){ difference(){
union(){ union(){
thread_helix(d=T-.01, profile=profile, pitch = INCH/tpi, twist=twist+2*higang, higbee=higlen, anchor=TOP); thread_helix(d=T-.01, profile=profile, pitch = INCH/tpi, turns=(twist+2*higang)/360, higbee=higlen, anchor=TOP);
cylinder(d=T-depth*2,l=H,anchor=TOP); cylinder(d=T-depth*2,l=H,anchor=TOP);
if (bead) if (bead)
down(bead_shift) down(bead_shift)

93
mutators.scad
View file

@ -348,99 +348,6 @@ module extrude_from_to(pt1, pt2, convexity, twist, scale, slices) {
// Module: spiral_sweep()
// 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 twist. The origin in the profile traces out the helix of the specified radius.
// If twist is positive the path will be right-handed; if twist 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
// twist = number of degrees of rotation to spiral up along 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, twist=1080, $fn=36);
module spiral_sweep(poly, h, r, twist=360, higbee, center, r1, r2, d, d1, d2, higbee1, higbee2, internal=false, anchor, spin=0, orient=UP) {
higsample = 10; // Oversample factor for higbee tapering
dummy1=assert(is_num(twist) && twist != 0);
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);
dummy2=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");
function polygon_r(N,theta) =
let( alpha = 360/N )
cos(alpha/2)/(cos(posmod(theta,alpha)-alpha/2));
higofs = pow(0.05,2); // Smallest hig scale is the square root of this value
function taperfunc(x) = sqrt((1-higofs)*x+higofs);
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([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"
);
attachable(anchor,spin,orient, r1=r1, r2=r2, l=h) {
vnf_polyhedron(vnf, convexity=ceil(2*dir*twist/360));
children();
}
}
// Module: path_extrude() // Module: path_extrude()
// Description: // Description:
// Extrudes 2D children along a 3D path. This may be slow. // Extrudes 2D children along a 3D path. This may be slow.

120
regions.scad
View file

@ -591,126 +591,6 @@ function region_parts(region) =
]; ];
// Section: Region Extrusion and VNFs
// Function&Module: linear_sweep()
// Usage:
// linear_sweep(region, height, [center], [slices], [twist], [scale], [style], [convexity]) {attachments};
// Description:
// If called as a module, creates a polyhedron that is the linear extrusion of the given 2D region or polygon.
// If called as a function, returns a VNF that can be used to generate a polyhedron of the linear extrusion
// of the given 2D region or polygon. The benefit of using this, over using `linear_extrude region(rgn)` is
// that it supports `anchor`, `spin`, `orient` and attachments. You can also make more refined
// twisted extrusions by using `maxseg` to subsample flat faces.
// Note that the center option centers vertically using the named anchor "zcenter" whereas
// `anchor=CENTER` centers the entire shape relative to
// the shape's centroid, or other centerpoint you specify. The centerpoint can be "centroid", "mean", "box" or
// a custom point location.
// Arguments:
// region = The 2D [Region](regions.scad) or polygon that is to be extruded.
// height = The height to extrude the region. Default: 1
// center = If true, the created polyhedron will be vertically centered. If false, it will be extruded upwards from the XY plane. Default: `false`
// 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`
// 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)
// twist = The number of degrees to rotate the shape clockwise around the Z axis, as it rises from bottom to top. Default: 0
// scale = The amount to scale the shape, from bottom to top. Default: 1
// style = The style to use when triangulating the surface of the object. Valid values are `"default"`, `"alt"`, or `"quincunx"`.
// convexity = Max number of surfaces any single ray could pass through. Module use only.
// anchor = Translate so anchor point is at origin (0,0,0). See [anchor](attachments.scad#subsection-anchor). Default: `"origin"`
// atype = Set to "hull" or "intersect" to select anchor type. Default: "hull"
// 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"
// 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`
// 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);
// Section: Offset and 2D Boolean Set Operations // Section: Offset and 2D Boolean Set Operations

225
skin.scad
View file

@ -501,6 +501,231 @@ function skin(profiles, slices, refine=1, method="direct", sampling, caps, close
reorient(anchor,spin,orient,vnf=vnf,p=vnf,extent=atype=="hull",cp=cp); reorient(anchor,spin,orient,vnf=vnf,p=vnf,extent=atype=="hull",cp=cp);
// Function&Module: linear_sweep()
// Usage:
// linear_sweep(region, height, [center], [slices], [twist], [scale], [style], [convexity]) {attachments};
// Description:
// If called as a module, creates a polyhedron that is the linear extrusion of the given 2D region or polygon.
// If called as a function, returns a VNF that can be used to generate a polyhedron of the linear extrusion
// of the given 2D region or polygon. The benefit of using this, over using `linear_extrude region(rgn)` is
// that it supports `anchor`, `spin`, `orient` and attachments. You can also make more refined
// twisted extrusions by using `maxseg` to subsample flat faces.
// Note that the center option centers vertically using the named anchor "zcenter" whereas
// `anchor=CENTER` centers the entire shape relative to
// the shape's centroid, or other centerpoint you specify. The centerpoint can be "centroid", "mean", "box" or
// a custom point location.
// Arguments:
// region = The 2D [Region](regions.scad) or polygon that is to be extruded.
// height = The height to extrude the region. Default: 1
// center = If true, the created polyhedron will be vertically centered. If false, it will be extruded upwards from the XY plane. Default: `false`
// 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`
// 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)
// twist = The number of degrees to rotate the shape clockwise around the Z axis, as it rises from bottom to top. Default: 0
// scale = The amount to scale the shape, from bottom to top. Default: 1
// style = The style to use when triangulating the surface of the object. Valid values are `"default"`, `"alt"`, or `"quincunx"`.
// convexity = Max number of surfaces any single ray could pass through. Module use only.
// anchor = Translate so anchor point is at origin (0,0,0). See [anchor](attachments.scad#subsection-anchor). Default: `"origin"`
// atype = Set to "hull" or "intersect" to select anchor type. Default: "hull"
// 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"
// 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`
// 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() // Function&Module: path_sweep()
// Usage: As module // 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}; // 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};

16
threading.scad
View file

@ -1154,7 +1154,7 @@ module generic_threaded_nut(
// pitch = Distance between threads. Default: 2mm/thread // pitch = Distance between threads. Default: 2mm/thread
// thread_depth = Depth of threads from top to bottom. // thread_depth = Depth of threads from top to bottom.
// flank_angle = Angle of thread faces to plane perpendicular to screw. Default: 15 degrees. // 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. // profile = If an asymmetrical thread profile is needed, it can be specified here.
// starts = The number of thread starts. Default: 1 // 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"); // right(14)back(14)text("angle",size=4,halign="center");
// } // }
// Examples: // 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, turns=2.5, $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, turns=2.5, 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, turns=2, 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=1, left_handed=true, higbee=1, $fn=36);
module thread_helix( 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, profile, starts=1, left_handed=false, internal=false,
d1, d2, higbee, higbee1, higbee2, d1, d2, higbee, higbee1, higbee2,
anchor, spin, orient anchor, spin, orient
) { ) {
dummy1=assert(is_undef(profile) || !any_defined([thread_depth, flank_angle]),"Cannot give thread_depth or flank_angle with a profile"); 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); r1 = get_radius(d1=d1, d=d, dflt=10);
r2 = get_radius(d1=d2, d=d, dflt=10); r2 = get_radius(d1=d2, d=d, dflt=10);
profile = is_def(profile) ? profile : profile = is_def(profile) ? profile :
@ -1241,7 +1241,7 @@ module thread_helix(
dir = left_handed? -1 : 1; dir = left_handed? -1 : 1;
attachable(anchor,spin,orient, r1=r1, r2=r2, l=h) { attachable(anchor,spin,orient, r1=r1, r2=r2, l=h) {
zrot_copies(n=starts) { 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(); children();
} }