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lvl10720-Turquoise
20-Turquoise
Aug 22, 2022 4:53 PM UTC
Solved

Plot the center of a sphere with 4 points ?

Hello Everyone.

From the following :

4-points.PNG

Thanks in advance for your time and help.

Best Regards.

Loi.

Werner_E
Werner_EAnswer
25-Diamond I
Aug 23, 2022 12:58 AM UTC

Werner_E_1-1661216543106.png

 

 

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9 replies

Werner_E
Werner_E25-Diamond I
25-Diamond I
Aug 22, 2022 7:21 PM UTC

How about using a solve block?

Werner_E_0-1661196027734.png

In case of your data the centre of the sphere is exactly the origin.
You can increase the precision by setting something like CTOL:=10^-8

 

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    lvl10720-TurquoiseAuthor
    20-Turquoise
    Aug 22, 2022 7:47 PM UTC

    I greatly appreciate your time and help. I'm very happy with your help. My question would be the following : (just only changing the GreenPoint)

    4-points ( ' ).PNG

    Thanks Again.

    Loi.

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    Werner_E
    Werner_E25-Diamond I
    25-Diamond I
    Aug 22, 2022 9:10 PM UTC
    just only changing the GreenPoint

    Just type in the solve block and throw in the coordinates you are interested in.

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      LucMeekes23-Emerald V
      23-Emerald V
      Aug 22, 2022 8:32 PM UTC

      LucMeekes_0-1661200129042.png

      Note that the exact expression of the center is large, in full it is:

      LucMeekes_1-1661200206581.png

      With another set of points, you may get:

      LucMeekes_2-1661200307341.png

      Success!
      Luc

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        lvl10720-TurquoiseAuthor
        20-Turquoise
        Aug 22, 2022 9:06 PM UTC

        Many, many thanks, Luc. And I still have a query about : center and radius of inscribed sphere. 

        Best Regards.

        Loi.

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        Werner_E
        Werner_E25-Diamond I
        25-Diamond I
        Aug 23, 2022 10:17 PM UTC

        Werner_E_0-1661293705524.png

        EDIT: Mathcad 15 file finally attached

         

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