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lvl10720-Turquoise
20-Turquoise
September 4, 2022
Solved

Reflect ''a Surface of Mathcad structure'' in a Origin ?

  • September 4, 2022
  • 9 replies
  • 2548 views

Hi, Everyone.
From the following:

Reflect 1.PNG

Thanks in advance for your time and help.
Best Regards.
Loi.

Best answer by Werner_E

Do you have something like this in mind?

Not sure if it a lantern, though 😉

Werner_E_0-1662325736414.png

 

9 replies

W
Werner_E25-Diamond I
25-Diamond I
September 4, 2022

 

I am not sure if you really mean what you write!

Mirroring at the point of origin (0/0/0) means that the sign of all coordinates is changed. So a minus in front of the whole vector is enough for this.

Werner_E_0-1662320897091.png

 

L
lvl10720-TurquoiseAuthor
20-Turquoise
September 4, 2022

I appreciate your time and help, Werner.🙂 Is there a any way without "by hand"

Best Regards.

Loi.

W
Werner_E25-Diamond I
25-Diamond I
September 4, 2022
@lvl107 wrote:

I appreciate your time and help, Werner.🙂 Is there a any way without "by hand"

Best Regards.

Loi.

I don't understand your question.

You sure can define a function f(x):=-x and call it with the vector as its argument. But I won't consider this being simpler.

L
lvl10720-TurquoiseAuthor
20-Turquoise
September 4, 2022

Could you make me a "lantern" as a gift, say: 8 different color on 8 "structure". ( I'm going to
choose and buy a lantern for my grandchild tomorrow, for Mid-autumn Festival in Asia )
Best Regards.
Loi.

W
Werner_E25-Diamond IAnswer
25-Diamond I
September 4, 2022

Do you have something like this in mind?

Not sure if it a lantern, though 😉

Werner_E_0-1662325736414.png

 

    W
    Werner_E25-Diamond I
    25-Diamond I
    September 4, 2022

    Or should it be something like this?

    Werner_E_0-1662326765097.png

     

      W
      Werner_E25-Diamond I
      25-Diamond I
      September 4, 2022

      You may be interested to hear that you can let Mathcad create the necessary structure for the first lantern segment using the parameter representation of a sphere and the function CreateMesh. And, no, you cant evaluate the result symbolically, only numerically.

      Werner_E_0-1662330404697.png

      Werner_E_0-1662331077339.png

       

      You may also add sort of a scaling-factor in z-direction

      Werner_E_0-1662332184272.png

       

       

       

       

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