[WIP] add polyhedron-based catears
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djerun
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3 changed files with 187 additions and 96 deletions
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@ -25,7 +25,12 @@ module catear_v3(height, thickness, fractal=0, side_len=30, bend_factor=0.15, st
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C = [-S*bf, S*sf*mn, 0] * R;
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D = [-s , 0, 0];
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if (debug) translate([0, 0, height]) rotate(90) bezier_curve_debug([A, B, C, D]);
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curve_vertices = bezier_curve_vertices([A, B, C, D], $fn);
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if (debug) {
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translate([0, 0, height]) rotate(90) bezier_curve_debug([A, B, C, D]);
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echo("curve_vertices: ", curve_vertices);
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}
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rotate(90) render_curve(curve_vertices, width=thickness, height=height, chamfer=chamfer);
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}
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/**
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@ -125,96 +130,102 @@ module catear_v1(height, thickness, fractal=0, side_len=30, bend_factor=0.15, st
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}
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}
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module catear_headband(debug=DEBUG, size=SIZE, height=HEIGHT, thickness=THICKNESS, part=PART, stretch_len=STRETCH_LEN, tip_len=TIP_LEN, tip_bend=TIP_BEND, ear_scale=1.5, ear_bend_factor=0.15, ear_stretch_factor=1.2, ear_angle=42, chamfer=CHAMFER, chamfer_shape=CHAMFER_SHAPE, with_rake=true, details=true, ear_skew=2.0) {
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module catear_headband(debug=DEBUG, size=SIZE, height=HEIGHT, thickness=THICKNESS, part=PART, stretch_len=STRETCH_LEN, tip_len=TIP_LEN, tip_bend=TIP_BEND, ear_scale=1.5, ear_bend_factor=0.15, ear_stretch_factor=1.2, ear_angle=42, chamfer=CHAMFER, chamfer_shape=CHAMFER_SHAPE, with_rake=true, details=true, ear_skew=2.0, ear_version=3) {
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$a=size/2*ear_scale;
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$delta=2*(acos($a/(size*2))-90);
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ear_offset=size*sin(90-$delta/2);
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union() {
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rotate( ear_angle, [0, 0, 1]) {
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translate([-ear_offset, 0, 0]) catear_v3(
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debug=debug,
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height=height,
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thickness=thickness,
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side_len=size/2*ear_scale,
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bend_factor=ear_bend_factor,
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stretch_factor=ear_stretch_factor,
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chamfer=chamfer,
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chamfer_shape=chamfer_shape,
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details=details,
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skew=ear_skew
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);
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if (ear_version == 3 ) {
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rotate( ear_angle, [0, 0, 1]) {
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translate([-ear_offset, 0, 0]) catear_v3(
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debug=debug,
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height=height,
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thickness=thickness,
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side_len=size/2*ear_scale,
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bend_factor=ear_bend_factor,
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stretch_factor=ear_stretch_factor,
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chamfer=chamfer,
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chamfer_shape=chamfer_shape,
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details=details,
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skew=ear_skew
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);
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}
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rotate(-ear_angle, [0, 0, 1]) {
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translate([-ear_offset, 0, 0]) catear_v3(
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debug=false,
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height=height,
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thickness=thickness,
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side_len=size/2*ear_scale,
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bend_factor=ear_bend_factor,
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stretch_factor=ear_stretch_factor,
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chamfer=chamfer,
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chamfer_shape=chamfer_shape,
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details=details,
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skew=-ear_skew
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);
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}
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}
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rotate( ear_angle, [0, 0, 1]) {
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translate([-ear_offset, 0, -2*height]) catear_v2(
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debug=debug,
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height=height,
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thickness=thickness,
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side_len=size/2*ear_scale,
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bend_factor=ear_bend_factor,
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stretch_factor=ear_stretch_factor,
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chamfer=chamfer,
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chamfer_shape=chamfer_shape,
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details=details,
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skew=ear_skew
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);
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if (ear_version == 2 ) {
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rotate( ear_angle, [0, 0, 1]) {
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translate([-ear_offset, 0, 0]) catear_v2(
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debug=debug,
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height=height,
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thickness=thickness,
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side_len=size/2*ear_scale,
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bend_factor=ear_bend_factor,
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stretch_factor=ear_stretch_factor,
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chamfer=chamfer,
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chamfer_shape=chamfer_shape,
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details=details,
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skew=ear_skew
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);
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}
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rotate(-ear_angle, [0, 0, 1]) {
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translate([-ear_offset, 0, 0]) catear_v2(
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debug=false,
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height=height,
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thickness=thickness,
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side_len=size/2*ear_scale,
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bend_factor=ear_bend_factor,
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stretch_factor=ear_stretch_factor,
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chamfer=chamfer,
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chamfer_shape=chamfer_shape,
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details=details,
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skew=-ear_skew
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);
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}
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}
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rotate( ear_angle, [0, 0, 1]) {
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translate([-ear_offset, 0, -height]) catear_v1(
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debug=debug,
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height=height,
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thickness=thickness,
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side_len=size/2*ear_scale,
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bend_factor=ear_bend_factor,
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stretch_factor=ear_stretch_factor,
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chamfer=chamfer,
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chamfer_shape=chamfer_shape,
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details=details,
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skew=ear_skew
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);
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}
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rotate(-ear_angle, [0, 0, 1]) {
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translate([-ear_offset, 0, 0]) catear_v3(
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debug=false,
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height=height,
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thickness=thickness,
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side_len=size/2*ear_scale,
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bend_factor=ear_bend_factor,
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stretch_factor=ear_stretch_factor,
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chamfer=chamfer,
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chamfer_shape=chamfer_shape,
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details=details,
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skew=-ear_skew
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);
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}
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rotate(-ear_angle, [0, 0, 1]) {
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translate([-ear_offset, 0, -2*height]) catear_v2(
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debug=false,
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height=height,
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thickness=thickness,
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side_len=size/2*ear_scale,
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bend_factor=ear_bend_factor,
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stretch_factor=ear_stretch_factor,
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chamfer=chamfer,
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chamfer_shape=chamfer_shape,
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details=details,
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skew=-ear_skew
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);
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}
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rotate(-ear_angle, [0, 0, 1]) {
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translate([-ear_offset, 0, -height]) catear_v1(
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debug=false,
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height=height,
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thickness=thickness,
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side_len=size/2*ear_scale,
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bend_factor=ear_bend_factor,
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stretch_factor=ear_stretch_factor,
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chamfer=chamfer,
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chamfer_shape=chamfer_shape,
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details=details,
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skew=-ear_skew
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);
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if (ear_version == 1 ) {
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rotate( ear_angle, [0, 0, 1]) {
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translate([-ear_offset, 0, 0]) catear_v1(
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debug=debug,
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height=height,
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thickness=thickness,
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side_len=size/2*ear_scale,
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bend_factor=ear_bend_factor,
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stretch_factor=ear_stretch_factor,
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chamfer=chamfer,
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chamfer_shape=chamfer_shape,
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details=details,
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skew=ear_skew
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);
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}
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rotate(-ear_angle, [0, 0, 1]) {
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translate([-ear_offset, 0, 0]) catear_v1(
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debug=false,
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height=height,
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thickness=thickness,
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side_len=size/2*ear_scale,
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bend_factor=ear_bend_factor,
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stretch_factor=ear_stretch_factor,
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chamfer=chamfer,
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chamfer_shape=chamfer_shape,
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details=details,
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skew=-ear_skew
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);
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}
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}
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headband(
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size=size,
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@ -230,4 +241,4 @@ module catear_headband(debug=DEBUG, size=SIZE, height=HEIGHT, thickness=THICKNES
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};
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}
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rotate(-90) catear_headband(ear_bend_factor=0.15, ear_skew=2, debug=true);
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rotate(-90) catear_headband(ear_bend_factor=0.15, ear_skew=2, ear_version=3);
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@ -50,9 +50,21 @@ g = function (p) [scalc(xremap, p.x, -S/2, S/2), scalc(yremap, p.y, 0, S/2)*e, p
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rotate([0, 90, 0]) color("yellow") arc(0.5, r, THICKNESS, HEIGHT, outer_remap=f, inner_remap=g);
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color("red") catear_v2(HEIGHT, THICKNESS, side_len=SIZE/2*EAR_SCALE, stretch_factor=EAR_STRETCH_FACTOR);
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color("red") catear_v2(
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height=HEIGHT,
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thickness=THICKNESS,
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side_len=SIZE/2*EAR_SCALE,
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stretch_factor=EAR_STRETCH_FACTOR
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);
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// a = b + c
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// x * a = y * b + c
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// y / x = a /(b + c)
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// y = x * a /(b + c)
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// y * b = x * a - c
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// y =(x * a - c)/ b
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// 100 = 95 + 5
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// x * 100 = y * 95 + 5
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// 5 * 100 = y * 95 + 5
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// 500 = y * 95 + 5
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// 495 = y * 95
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// y = 495 / 95
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@ -33,23 +33,91 @@ module bezier_curve_debug(control_points, $fn=$fn) {
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color("green") translate(bezier_spline(control_points, 0.5)) sphere(d=1, $fn=24);
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}
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// c^2=a^2+b^2 // a == b
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// c^2=2a^2 // /2
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// c^2/2=a^2 // sqrt
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// sqrt(c^2/2)=a
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chamfer_offset = function (c) sqrt((c*c)/2);
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rendered_curve_segment_vertices = function (p, v, n, width, height, chamfer)
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let (d=normalize(n-p)) let (up=[0, 0, 1]) let (right=normalize(cross(d, up))) [
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//p, v, n, width, height, chamfer_offset(chamfer), d, up, right,
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v+up*(height/2)+right*(-width/2+chamfer_offset(chamfer)),
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v+up*(height/2)+right*(width/2-chamfer_offset(chamfer)),
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v+up*(height/2-chamfer_offset(chamfer))+right*(width/2),
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v+up*(-height/2+chamfer_offset(chamfer))+right*(width/2),
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v+up*(-height/2)+right*(width/2-chamfer_offset(chamfer)),
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v+up*(-height/2)+right*(-width/2+chamfer_offset(chamfer)),
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v+up*(-height/2+chamfer_offset(chamfer))+right*(-width/2),
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v+up*(height/2-chamfer_offset(chamfer))+right*(-width/2)
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];
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rendered_curve_segment_vertices = function (p, v, n, width, height, chamfer) [];
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module render_curve(curve_vertices, width, height, chamfer, debug=false) {
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/*
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* vertex generation order:
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* - we generate vertices segment by segment
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* - one segement for every curve vertex provided
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* - each segment has eight vertices that form the outer ring
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* - the corners are chamfered so the vertices are pairs at the corners
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* - we start with the top segment and move clockwise
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* - top-down axis is determined globally by z-axis unless direction at start vertex is z
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* - if direction at start vertes is z, top-down is y-adis instead
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* - the left vertex of the top edge is 0, the other is 1
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* - left-right axis is determined by normal between travel direction and up-down axis
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* - the last vertex is part of the same corner as 0 but part of the left edge
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* - segment edge n has vertices `n` and `(n+1)%8`
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* - segment joining edge n has vertices local index `n` of both segments
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* - global `i` index of local index `n` for segment `m` is `i=8*m+n`
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* - so we have `count=length(curve_vertices)` segments and `count*8` vertices
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* - we are not generating a thorus so the faces for our polyhedron are:
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* - two eight sided end cap faces
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* - `(count-1)*8` four sided mantle faces
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* - direction at vertex is the vector from the previonus to the next vertex
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* - for the first an last vertex the only neighbor is mirrored around the vertex
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* - the start end cap is face `0`
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* - the face mantle face n has vertices `[n, +(n+1)%8, n+8, n+8+(n+1)%8]`
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* - the stop end cap is face `count*8`
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*/
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module render_curve(curve_vertices, width, height, chamfer) {
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start = let(v=curve_vertices[0], n=curve_vertices[1]) let(p=v-n)
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start = let(v=curve_vertices[0], n=curve_vertices[1]) let(p=v+(v-n))
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rendered_curve_segment_vertices(p, v, n, width, height, chamfer);
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echo("len(curve_vertices): ", len(curve_vertices));
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middle = [ for (i=[1:len(curve_vertices)-2]) let(
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p = curve_vertives[i-1],
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p = curve_vertices[i-1],
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v = curve_vertices[i],
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n = curve_vertives[i+1]
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) rendered_curve_segment_vertices(p, v, n, width, height, chamfer)
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n = curve_vertices[i+1]
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) each rendered_curve_segment_vertices(p, v, n, width, height, chamfer)
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];
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end = let(i=len(curve_vertices)) let(v=curve_vertices[i], p=curve_vertices[i-1]) let(n=v-p)
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rendered_curve_segment_vertices(p, v, n, width, height, chamfer);
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echo("len(middle): ", len(middle));
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stop = let(i=len(curve_vertices))
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let(v=curve_vertices[i-1], p=curve_vertices[i-2]) let(n=v+(v-p))
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rendered_curve_segment_vertices(p, v, n, width, height, chamfer);
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// TODO
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if (debug) {
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echo(start);
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color("#ff00ff") for (v = start) translate(v+[0, 0, height]) sphere(d=.25, $fn=16);
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echo(middle);
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color("white") for (v = middle) translate(v+[0, 0, height]) sphere(d=.25, $fn=16);
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echo(stop);
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color("cyan") for (v = stop) translate(v+[0, 0, height]) sphere(d=.25, $fn=16);
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}
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render_vertices = concat(start, middle, stop);
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echo("len(render_vertices)", len(render_vertices));
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echo(render_vertices);
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start_cap = [ for (i=[0:1:7]) i];
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echo(start_cap);
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mantle = let (M=len(curve_vertices)-1) [ for (m=[0:M-1],n=[0:7]) let (i=m*8+n)
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[i, i+8, n==7 ? i+1 : i+8+1, n==7 ? i-7 : i+1]
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];
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echo(mantle);
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end_cap = let (m=len(curve_vertices)-1) [ for (i=[m*8+7:-1:m*8]) i ];
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echo(end_cap);
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faces = concat([start_cap], mantle, [end_cap]);
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translate([0, 0, debug ? height : 0]) polyhedron(points=render_vertices, faces=faces);
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}
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arc_vertex = function (a, r, t, translate=[0,0,0], remap=id) remap([
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