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// closepoints from https://github.com/rcolyer/closepoints
module ClosePoints(pointarrays) {
  function recurse_avg(arr, n=0, p=[0,0,0]) = (n>=len(arr)) ? p :
    recurse_avg(arr, n+1, p+(arr[n]-p)/(n+1));

  N = len(pointarrays);
  P = len(pointarrays[0]);
  NP = N*P;
  lastarr = pointarrays[N-1];
  midbot = recurse_avg(pointarrays[0]);
  midtop = recurse_avg(pointarrays[N-1]);

  faces_bot = [
    for (i=[0:P-1])
      [0,i+1,1+(i+1)%len(pointarrays[0])]
  ];

  loop_offset = 1;
  bot_len = loop_offset + P;

  faces_loop = [
    for (j=[0:N-2], i=[0:P-1], t=[0:1])
      [loop_offset, loop_offset, loop_offset] + (t==0 ?
      [j*P+i, (j+1)*P+i, (j+1)*P+(i+1)%P] :
      [j*P+i, (j+1)*P+(i+1)%P, j*P+(i+1)%P])
  ];

  top_offset = loop_offset + NP - P;
  midtop_offset = top_offset + P;

  faces_top = [
    for (i=[0:P-1])
      [midtop_offset,top_offset+(i+1)%P,top_offset+i]
  ];

  points = [
    for (i=[-1:NP])
      (i<0) ? midbot :
      ((i==NP) ? midtop :
      pointarrays[floor(i/P)][i%P])
  ];
  faces = concat(faces_bot, faces_loop, faces_top);

  polyhedron(points=points, faces=faces);
}

l = 40; // length of extrusion from xy touch point to end.
y_offset = 15; // rough eyeball approx?
a = 60; // cube cut angle (from z+ axis)
s = 100; // cube size, just needs to be large enough to encompass part


// module to avoid copy/pasting original shape in multiple places
module create_extension(l,y_offset,a,s) {
	children();
	difference() {
		rotate([90,0,0]) translate([0,0,y_offset-l]) linear_extrude(height=l) projection()
		rotate([-90,0,0]) difference() {
			children();
			// cut object before it touches xy plane
			translate([0,-s/2-y_offset]) cube(s, center=true);
		}
		// angled cube cut, poor approx of shape's curvature.
		translate([0,-y_offset,0]) rotate([-a,0,0]) translate([0,-s/2]) cube(s,center=true);
		// maybe could be done by taking YZ projection, linear extruding and subtracting that from the above extrusion
		rotate([0,-90]) linear_extrude(s,center=true) projection() rotate([0,90]) children();
	}
}

create_extension(l,y_offset,a,s)
	translate([0,0,22.62]) rotate([90,140,90]) ClosePoints(shape);