| This is the talk page for discussing improvements to the Steinmetz solid article. This is not a forum for general discussion of the article's subject. |
Article policies
|
| Find sources: Google (books · news · scholar · free images · WP refs) · FENS · JSTOR · TWL |
 | This article is rated B-class on Wikipedia's content assessment scale. It is of interest to the following WikiProjects: | ||||||||||
| |||||||||||
More than 3 cylinders? edit
The mathworld has some info on more than 3 cylinder. Here's some polyhedral prism equivalents for symmetric arrangements of 3, 4,6, and 10 "cylinders", source as dual uniform polyhedra like small dodecahemidodecacron: Tom Ruen (talk) 03:53, 24 August 2013 (UTC)
| Count | 2 | 3 | 4 | 6 | 10 |
|---|---|---|---|---|---|
| Cylinder topology |
 |
 |
 |
| |
| Solid topology |
 Square hosohedron    
|
 Rhombic dodecahedron 
|
 Deltoidal icositetrahedron
|
 rhombic triacontahedron 
|
 Deltoidal hexecontahedron
|
Naming edit
Named after Charles Proteus Steinmetz ? This seems to be a joke/fake. "Steinmetz" means in German a craftsman working with stone (Sculptor, but less in the artistic sense). Where is the source ?--Claude J (talk) 10:54, 25 September 2017 (UTC)
- There seems to be a reference by Howard Eves to Steinmetz solids (printed in Klarner ed. The mathematical Gardner 1981, p. 111). It was a popular problem in the 1920s going back to an anecdote, that Steinmetz had solved the problem of finding the volumes of two intersecting cylinders in very short time but without giving hints to his method (Richard Sutton The Steinmetz problem and school arithmetic, Mathematics Teacher, 50, 1957, 434, reference after Martin Gardner, Unexpected Hanging 1969).--Claude J (talk)
Dead link edit
First (PDF) link in Bibligraphy is dead: http://www.mamikon.com/USArticles/CircumSolids.pdf --AndrejJ (talk) 09:22, 12 July 2018 (UTC)
Unclear? edit
Hello! The following sentence does not make any sense to me. Can someone clarify it, please? Thanks.--345Kai (talk) 17:56, 22 November 2018 (UTC)
- The volume of the two intersecting cylinders can be calculated by subtracting the volume of the overlap (or the bisector in this case) from the volume of the two cylinders added together. Each of the curves of the intersection of two cylinders is known as a Steinmetz curve.[3]
Upon further reflection, I think this statement is about the volume of the union of the two cylinders, once the volume of the intersection is known. Is there a reason why the words "union" and "intersection" are avoided here? And anyway, this article is about the intersection and not the union.--345Kai (talk) 19:47, 22 November 2018 (UTC)