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How to Create a Limacon of Pascal in a CAD drawing for extrusion etc? Need a .STEP file ultimately.

Fred
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Dale
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1 Answers1

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One possibility would be in OpenSCAD:

module limacon(a, b) {
    r = function(a, b, theta) a + b * sin(theta);

polygon([for (t=[0 : 1 : 359]) 
    [r(a,b,t)*sin(t), r(a,b,t)*cos(t)]]);



};


// draw a limacon with the specified parameters:
limacon(3, 5);

With this, we can draw the 3D extruded polygon like this:

linear_extrude(5)
        limacon(3, 5);

Which results in a drawing like this:

enter image description here

From there, things get a little more tedious than you'd probably like. At least as far as I know, OpenSCAD can't export directly to a .STEP file, but you can import the OpenSCAD file into FreeCAD, then export the object to a .STEP file from there.

Jerry Coffin
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  • Very nice answer, I have another question here: https://engineering.stackexchange.com/questions/60072/how-to-create-a-parabola-in-a-cad-drawing – Dale Mar 02 '24 at 20:07