You can get AutoCAD for free if you are a student, but if you can't get it then you may be able to follow along loosely using another powerful CAD program. Some of the things we want to do to make our solids you just can't do in other programs. It does not have the same limitations as programs such as 123d design or tinkercad. The reason we are using AutoCAD is because it is a very powerful software. As we go through this tutorial together we will learn about: 3D design using AutoCAD, preparing objects for 3D printing and we will continue to learn about solids of a constant width. In this Instructible we will use AutoCAD to design two different sorts of solid of a constant width: A solid of revolution of a Reuleaux triangle (triangle with curved sides), and the Meissner tetrahedron which is a solid made from the intersection of four spheres whose centers are situated at the vertices of a tetrahedron, and whose diameters are the length of the edges of the same tetrahedron and that has 3 curved off edges.
You can see them in various science or maths museums, including the Momath in New York There aren't that many uses for these solids although they can be used as a substitute for a sphere in order to use less volume. These are more commonly known as solids of a constant width or solids of a constant diameter.
There are other solids which have the same diameter in all directions (not the same radius).
In fact the three solids don't necessarily have to be spheres to have this property. If you were to take a hard covered book and to roll it on top of three unknown objects and you felt the book rolling smoothly, not ever bumping up and down or changing the distance of it and the table, you would expect the three solids under the book were spheres.
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