Wikipedia talk:Category combinatorics

Images
I searched in commons:Category:Combinatorics for images depicting the relationships between categories at different levels, but commons:File:Combinations without repetition; 5 choose 3.svg is the best image that I found. What I really want to find is, for each section, a diagram where (1) points represent categories and (2) categories having equal numbers of elements are horizontally collinear and (3) rows of points (representing categories) are ordered on the page by descending number of elements and (4) line segments connect points on consecutive rows. —Wavelength (talk) 19:10, 13 April 2016 (UTC) and 20:50, 23 April 2016 (UTC)

Terminology
I am not completely satisfied with my choice of the word "factor" for an element of a category name, but I have not yet settled on a replacement. I have been considering alternatives such as "aspect", "element", "trait", "characteristic", "term", and "dimension". Names have elements, but categories also have elements. I have been studying some information in Category:Combinatorics and "Glossary of Terms in Combinatorics" at http://www.math.illinois.edu/~dwest/openp/gloss.html. —Wavelength (talk) 20:42, 15 April 2016 (UTC) I have revised Category combinatorics by changing "factor[s]" to "element[s] in category name" in section headings, and "factor[s]" to "element[s]" elsewhere on the page. Also, I have revised the previous section ("Images") of this talk page, by changing "factors" to "elements" in two instances. —Wavelength (talk) 20:56, 23 April 2016 (UTC)