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# Solid of constant diameter

Solid of constant diameter [message #48555] Thu, 17 May 2012 00:44 UTC
I'm a math teacher and would like a solid of constant diameter created. I don't know how to create 3-d models, but have made a 2-d model which needs to be spun around the red dotted line (see attached). The shape is made with an equilateral triangle and then arcs with a radius the same as the side lengths of the triangle. If anyone is willing to prepare this model so I can order several 3-d printings of this, that would be much appreciated. I would like the side lengths of the triangle to be 1 inch wide.

[Updated on: Thu, 17 May 2012 00:45 UTC]

Re: Solid of constant diameter [message #48563 is a reply to message #48555 ] Thu, 17 May 2012 01:48 UTC
.stl file is available

• Attachment: TRIANGLE.STL

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Re: Solid of constant diameter [message #48564 is a reply to message #48563 ] Thu, 17 May 2012 02:02 UTC
 CADNinja wrote on Thu, 17 May 2012 01:48 .stl file is available

No offense, bro', but...

Isn't this one too fat ?
Shouldn't it be 25,4 mm in all axis ?

• Attachment: NetFabb.png

Re: Solid of constant diameter [message #48566 is a reply to message #48563 ] Thu, 17 May 2012 02:11 UTC
Thanks for your help. Would you accept another challenge to make a Reuleaux tetrahedron? Its made by the intersection of four spheres. If all four spheres could have radius 1 inch, that would be awesome. Thanks ahead of time for your contributions to my classroom! See the website below for details on this solid.

http://en.wikipedia.org/wiki/Reuleaux_tetrahedron
Re: Solid of constant diameter [message #48587 is a reply to message #48566 ] Thu, 17 May 2012 13:13 UTC
Hi wingman_100, Try this. This is the Reuleaux tetrahedron.

I made it using the 4 spheres with a 1" radius.

Final size from corner to corner is 1" with a .5 radius.

[Updated on: Thu, 17 May 2012 13:34 UTC]

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Re: Solid of constant diameter [message #48589 is a reply to message #48587 ] Thu, 17 May 2012 13:32 UTC
I've got some solids of constant width in my Shapeways shop that are 3cm wide.
What is an inch?

Reuleaux triangle, rounded Reuleaux triangle and Reuleaux pentagon

Meissner Tetrahedra (not in my shop but also 3cm width, very tricky to design)

very rounded Reuleaux triangle, rounded Reuleaux pentagon and Reuleaux heptagon

They are a lot of fun to play with!

[Updated on: Thu, 17 May 2012 22:15 UTC]

Re: Solid of constant diameter [message #48605 is a reply to message #48564 ] Thu, 17 May 2012 19:20 UTC
Good catch. Model has been updated and re-sent. Up too late i guess

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Re: Solid of constant diameter [message #48614 is a reply to message #48605 ] Thu, 17 May 2012 23:54 UTC
Two models available solid or hollow
1" - 25.4mm Reuleaux tetrahedron
Hollow Model
http://www.shapeways.com/model/574975/
Solid Model
http://www.shapeways.com/model/575532/

[Updated on: Mon, 21 May 2012 17:48 UTC]

duplicate [message #48616 is a reply to message #48614 ] Fri, 18 May 2012 00:04 UTC
No Message Body

[Updated on: Mon, 21 May 2012 17:49 UTC]

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