## 705 Reputation

15 years, 227 days

## Reuleaux tetrahedron...

Hi Kitonum,

Thanks for the rotate command.

I have modified your worksheet to display a Meissner tetrahedron, a shape with truly constant width.

The modifications are lengthy, so if you want to see the modified worksheet I can paste it into my next Maple Primes comment or send it to you as an email attachment.

Regards...Earl

## Rouleaux tetrahedron...

Hi Kitonum,

Thank you greatly for this code which accurately displays a true Rouleaux tetrahedron. I knew how to plot a sphere with centre at a given vertex but not how to limit its extent within its intersections with the spheres with centres at the other three vertices.

The eliminate command is new to me, but the help text for it does not describe how the elimination process is conducted. Can you refer me to such a description, perhaps in another web site?

Best regards...Earl

## Rouleaux tetrahedron...

Hi, Thanks for your reply. I'm in no hurry since I am a 72 year old retired computer programmer who codes Maple applications in math and physics for my own edification and amusement. Any further information you can give me will be much appreciated.

## Rouleaux tetrahedron...

Hi acer,

Thanks for the code to display a Rouleaux tetrahedron (Rt).

I executed the code you posted in Maple 15, but the MathApp you provided a link to gave an error when I tried to execute it in Maple 15. Does this MathApp depend on commands from a later version of Maple?

However I don't think the image the code produced for me is a correct shape. As you can see in Wikipedia's website for Rouleaux_tetrahedron, the correct shape is not a surface of revolution since the faces of a Rt meet at an angle.

The Meissner tetrahedron, a modification of a Rt which changes the latter into a true constant width object, also is not a surface of revolution. The modification process can be seen at web site Meissner_en.pdf.

Earl

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