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20-Turquoise
August 22, 2022
Solved

Plot the center of a sphere with 4 points ?

  • August 22, 2022
  • 2 replies
  • 2512 views

Hello Everyone.

From the following :

4-points.PNG

Thanks in advance for your time and help.

Best Regards.

Loi.

Best answer by Werner_E

Werner_E_1-1661216543106.png

 

 

2 replies

25-Diamond I
August 22, 2022

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

 

lvl10720-TurquoiseAuthor
20-Turquoise
August 22, 2022

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.

25-Diamond I
August 22, 2022

just only changing the GreenPoint

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

23-Emerald IV
August 22, 2022

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

lvl10720-TurquoiseAuthor
20-Turquoise
August 22, 2022

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

Best Regards.

Loi.

lvl10720-TurquoiseAuthor
20-Turquoise
August 22, 2022

Hello Everyone, again.

And I still have a query about : center and radius of inscribed sphere. 

Best Regards.

Loi.