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Added keyhole() 2d shape.
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1 changed files with 86 additions and 5 deletions
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@ -1318,7 +1318,7 @@ module jittered_poly(path, dist=1/512) {
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// Synopsis: Creates a 2D teardrop shape.
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// SynTags: Geom, Path
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// Topics: Shapes (2D), Paths (2D), Path Generators, Attachable
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// See Also: teardrop(), onion()
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// See Also: teardrop(), onion(), keyhole()
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// Description:
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// When called as a module, makes a 2D teardrop shape. Useful for extruding into 3D printable holes as it limits overhang to 45 degrees. Uses "intersect" style anchoring.
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// The cap_h parameter truncates the top of the teardrop. If cap_h is taller than the untruncated form then
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@ -1418,7 +1418,7 @@ function teardrop2d(r, ang=45, cap_h, d, circum=false, realign=false, anchor=CEN
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// Synopsis: Creates an egg-shaped 2d object.
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// SynTags: Geom, Path
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// Topics: Shapes (2D), Paths (2D), Path Generators, Attachable
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// See Also: circle(), ellipse(), glued_circles()
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// See Also: circle(), ellipse(), glued_circles(), keyhole()
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// Usage: As Module
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// egg(length, r1|d1=, r2|d2=, R|D=) [ATTACHMENTS];
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// Usage: As Function
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@ -1681,7 +1681,7 @@ function ring(n,ring_width,r,r1,r2,angle,d,d1,d2,cp,points,corner, width,thickne
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// Synopsis: Creates a shape of two circles joined by a curved waist.
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// SynTags: Geom, Path
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// Topics: Shapes (2D), Paths (2D), Path Generators, Attachable
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// See Also: circle(), ellipse(), egg()
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// See Also: circle(), ellipse(), egg(), keyhole()
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// Usage: As Module
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// glued_circles(r/d=, [spread], [tangent], ...) [ATTACHMENTS];
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// Usage: As Function
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@ -1743,9 +1743,87 @@ module glued_circles(r, spread=10, tangent=30, d, anchor=CENTER, spin=0) {
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}
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// Function&Module: keyhole()
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// Synopsis: Creates a 2D keyhole shape.
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// SynTags: Geom, Path
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// Topics: Shapes (2D), Paths (2D), Path Generators, Attachable
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// See Also: circle(), ellipse(), egg(), glued_circles()
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// Usage: As Module
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// keyhole(l/length=, r1/d1=, r2/d2=, [shoulder_r=], ...) [ATTACHMENTS];
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// Usage: As Function
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// path = keyhole(l/length=, r1/d1=, r2/d2=, [shoulder_r=], ...);
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// Description:
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// When called as a function, returns a 2D path forming a shape of two differently sized circles joined by a straight slot, making what looks like a keyhole.
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// When called as a module, creates a 2D shape of two differently sized circles joined by a straight slot, making what looks like a keyhole. Uses "hull" style anchoring.
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// Arguments:
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// l = The distance between the centers of the two circles. Default: `15`
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// r1= The radius of the back circle, centered on `[0,0]`. Default: `2.5`
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// r2= The radius of the forward circle, centered on `[0,-length]`. Default: `5`
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// ---
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// shoulder_r = The radius of the rounding of the shoulder between the larger circle, and the slot that leads to the smaller circle. Default: `0`
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// d1= The diameter of the back circle, centered on `[0,0]`.
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// d2= The diameter of the forward circle, centered on `[0,-l]`.
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// length = An alternate name for the `l=` argument.
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// anchor = Translate so anchor point is at origin (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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// Examples(2D):
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// keyhole(40, 10, 30);
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// keyhole(l=60, r1=20, r2=40);
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// Example(2D): Making the forward circle larger than the back circle
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// keyhole(l=60, r1=40, r2=20);
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// Example(2D): Centering on the larger hole:
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// keyhole(l=60, r1=40, r2=20, spin=180);
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// Example(2D): Rounding the shoulders
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// keyhole(l=60, r1=20, r2=40, shoulder_r=20);
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// Example(2D): Called as Function
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// stroke(closed=true, keyhole(l=60, r1=20, r2=40));
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function keyhole(l, r1, r2, shoulder_r=0, d1, d2, length, anchor=CTR, spin=0) =
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let(
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l = first_defined([l,length,15]),
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r1 = get_radius(r=r1, d=d1, dflt=5),
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r2 = get_radius(r=r2, d=d2, dflt=10)
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)
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assert(is_num(l) && l>0)
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assert(l>=max(r1,r2))
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assert(is_undef(shoulder_r) || (is_num(shoulder_r) && shoulder_r>=0))
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let(
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cp1 = [0,0],
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cp2 = cp1 + [0,-l],
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shoulder_r = is_num(shoulder_r)? shoulder_r : min(r1,r2) / 2,
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minr = min(r1, r2) + shoulder_r,
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maxr = max(r1, r2) + shoulder_r,
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dy = opp_hyp_to_adj(minr, maxr),
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spt1 = r1>r2? cp1+[minr,-dy] : cp2+[minr,dy],
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spt2 = [-spt1.x, spt1.y],
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ds = spt1 - (r1>r2? cp1 : cp2),
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ang = atan2(abs(ds.y), abs(ds.x)),
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path = r1>r2? [
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if (shoulder_r<=0) spt1
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else each arc(r=shoulder_r, cp=spt1, start=180-ang, angle=ang, endpoint=false),
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each arc(r=r2, cp=cp2, start=0, angle=-180, endpoint=false),
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if (shoulder_r<=0) spt2
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else each arc(r=shoulder_r, cp=spt2, start=0, angle=ang, endpoint=false),
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each arc(r=r1, cp=cp1, start=180+ang, angle=-180-2*ang, endpoint=false),
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] : [
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if (shoulder_r<=0) spt1
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else each arc(r=shoulder_r, cp=spt1, start=180, angle=ang, endpoint=false),
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each arc(r=r2, cp=cp2, start=ang, angle=-180-2*ang, endpoint=false),
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if (shoulder_r<=0) spt2
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else each arc(r=shoulder_r, cp=spt2, start=360-ang, angle=ang, endpoint=false),
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each arc(r=r1, cp=cp1, start=180, angle=-180, endpoint=false),
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]
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) reorient(anchor,spin, two_d=true, path=path, extent=true, p=path);
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module keyhole(l, r1, r2, shoulder_r=0, d1, d2, length, anchor=CTR, spin=0) {
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path = keyhole(l=l, r1=r1, r2=r2, shoulder_r=shoulder_r, d1=d1, d2=d2, length=length);
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attachable(anchor,spin, two_d=true, path=path, extent=true) {
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polygon(path);
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children();
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}
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}
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function _superformula(theta,m1,m2,n1,n2=1,n3=1,a=1,b=1) =
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pow(pow(abs(cos(m1*theta/4)/a),n2)+pow(abs(sin(m2*theta/4)/b),n3),-1/n1);
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// Function&Module: supershape()
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// Synopsis: Creates a 2D [Superformula](https://en.wikipedia.org/wiki/Superformula) shape.
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@ -1829,6 +1907,9 @@ module supershape(step=0.5,n,m1=4,m2=undef,n1,n2=undef,n3=undef,a=1,b=undef, r=u
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}
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}
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function _superformula(theta,m1,m2,n1,n2=1,n3=1,a=1,b=1) =
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pow(pow(abs(cos(m1*theta/4)/a),n2)+pow(abs(sin(m2*theta/4)/b),n3),-1/n1);
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// Function&Module: reuleaux_polygon()
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// Synopsis: Creates a constant-width shape that is not circular.
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