Advanced math drafting tools


LitioLAB's Advanced math drafting tools dialog
Select the type of your mathematical expresion(s),
to create any customized 2D or 3D curve, or 3D surface.


This second main dialog (dialog 2/2), will direct you [by clicking on the propper image or button] to:


  • the specific math function dialog (either 2D or 3D curve or 3D surface),
  • directly to an action (XLS to entity dialog, load LLP project dialog, back to main dialog 1/2),
  • or to the Settings dialog.

Example dialog:

3D Surface – X = f (u,v) | Y = g (u,v) | Z = h (u,v)


An example advanced feature dialog:
Enter the mathematical equation(s) and its parameters,
and create any custom 2D or 3D curve, or 3D surface.


Enter the proper parameters and create any customized 2D curve, 3D curve or 3D surface, to get complex shapes for further processing or direct use.


Check examples of advanced projects



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How to draw a sine wave in AutoCAD/GStarCAD using LitioLAB drawing tools


There several different ways to draw a sine wave in AutoCAD/GStarCAD with LitioLAB.



  • First, with the basic sine tool of LitioLAB. Just enter the sine wave lenght and its amplitude.
  • Next, with the function of X - y=f(x), with some changes to the basic sine function.
  • also, with the X Y function of U - x=f(u) ; y=g(u)
  • With some few parameter changes, you can draw more waves in the same space. Or a longer graph with the same wave lenght.
  • Finally, a zigzag graph.





How to draw the Gaussian function in AutoCAD/GStarCAD with the advanced drawing tools of LitioLAB


The mathematical definition of the Gaussian function, rewriten in a calculator-like form, is as follows:
f(x) = a * exp((-1.0)*(x-b)^2/(2*c^2))


For an easy example we consider a = 1; b = 0; c^2 = 0.1


Thus, the formula would turn as follows:
f(x) = 1 * exp((-1.0)*(x-0)^2/(2*0.1))


If we use the additional parameter boxes for the arbitrary constants a, b, and c, to rewrite the formula, in order to have an easy way to work with this function in the future:
f(x) = C1 * exp((-1.0)*(x-C2)^2/(2*J1))
where:
    a = C1
    b = C2
    c^2 = J1


We canload these values in the parameter boxes, and replace the values by these parameters in the formula: C1 = 1.0 ; C2 = 0.0 ; J1 = 0.1


We can try what happens, if we change parameter values, e.g., as follows:

    b = C2 = 0.1 It moves the graph to the right
    a = C1 = 1.25 It stretches the graph upwards
    c^2 = J1 = 0.2 & 0.05 it softens or sharpens the graph