Template:Did you know nominations/Plesiohedron


 * The following is an archived discussion of the DYK nomination of the article below. Please do not modify this page. Subsequent comments should be made on the appropriate discussion page (such as |this nomination's talk page, the article's talk page or Wikipedia talk:Did you know), unless there is consensus to re-open the discussion at this page. No further edits should be made to this page.

The result was: promoted by   HalfGig   talk  12:46, 9 March 2017 (UTC)

Plesiohedron

 * ... that Euclidean space can be completely filled without overlaps by copies of any plesiohedron, a convex shape that can have up to 38 sides? Source: Grünbaum 1980 (may be paywalled, I'm not sure). p.952: "A powerful method of constructing stereohedra [polyhedra that form symmetric tilings of space without overlaps] is by taking the Dirichlet regions of a dot pattern ... we shall call them plesiohedra". p.965: "38-faced plesiohedra".
 * Reviewed: Marjorie G. Horning

Created by David Eppstein (talk). Self-nominated at 21:43, 6 March 2017 (UTC).


 * Symbol question.svg Article is new enough and long enough with adequate referencing. Didn't find any copyvios in the 2 sources I was able to access online.  While I was not able to verify the hook to the source due to the paywall, I was able to find other sources, e.g., .  My one concern with the hook is the statement that the plesiohedron can have up to 38 sides.  The largest known plesiohedron has 38 sides but in theory at least it can have up to 92.  So I think the wording of the hook needs to be tweaked to say something like "...that theoretically can have up to 92 sides" or "...whose known examples have up to 38 sides" or even "...whose known examples have up to 38 sides but it might be possible to have as many as 92 sides."  Though the latter may be too long. Rlendog (talk) 22:55, 6 March 2017 (UTC)
 * Ok, how about
 * ALT1 ... that Euclidean space can be completely filled without overlaps by copies of any plesiohedron, a type of convex shape whose known examples have up to 38 sides?
 * (I think the fact that there exist shapes like this with 38 sides is more interesting and hooky than the fact that we can prove they don't have more than 92.) —David Eppstein (talk) 23:12, 6 March 2017 (UTC)
 * Symbol confirmed.svg That works and is short enough. 14:32, 7 March 2017 (UTC)