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ProFeature16-Pearl
16-Pearl
January 30, 2024
Solved

scaling Curve from Equation

  • January 30, 2024
  • 2 replies
  • 1822 views

Hi

I created a curve from equation.

x = sin(t) + 2 * Sin(2*t)
y = cos(t) - 2 * cos(2*t)
z = -sin(3*t)

YY_10300008_0-1706619752304.png

YY_10300008_1-1706619909556.png

I tried Scale Model but it doesn't work on a curve from an equation.

 

Is it possible to scale the curve without modifying the equations?

 

Thanks

 

Best answer by kdirth

Select the curve then Copy Geometry and, under Options, select No Dependency.  This creates a copy of the curve that no longer references the original.  If you then scale the model, the original will stay the same and the copy will scale.

kdirth_1-1706622180607.png

 

2 replies

tbraxton
22-Sapphire II
tbraxton22-Sapphire II
22-Sapphire II
January 30, 2024

You have the equations defined. Just multiply each equation by a scalar value to "scale" them. If you explain the constraint of not modifying the equations that is probably useful to someone finding a workaround.

 

To double the size use scalar value of 2

i.e. for the X component: 2*(sin(t) + 2 * Sin(2*t))

 

Scaler =1

tbraxton_0-1706621280267.png

Scaler=2

tbraxton_1-1706621322866.png

 

 

    kdirth
    21-Topaz I
    kdirth21-Topaz IAnswer
    21-Topaz I
    January 30, 2024

    Select the curve then Copy Geometry and, under Options, select No Dependency.  This creates a copy of the curve that no longer references the original.  If you then scale the model, the original will stay the same and the copy will scale.

    kdirth_1-1706622180607.png

     

    There is always more to learn.
      tbraxton
      22-Sapphire II
      tbraxton22-Sapphire II
      22-Sapphire II
      January 30, 2024

      Applying a scalar to the equations (without editing the equation in the curve feature) it is possible to scale the curve size. By using a scaler parameter in the curve definition, the curve size can be scaled by modifying the parameter value. This establishes a single feature that can generate infinite sizes of the curve on demand and is parametric.

       

      Does this approach satisfy the requirement to not change the equations?

       

      The red rectangle is shown for scale reference.

       

      tbraxton_0-1706625579543.png

       

      tbraxton_1-1706625746508.png

       

       

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