Talk:Triaugmented triangular prism/GA1

GA Review

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Reviewer: Dedhert.Jr (talk · contribs) 12:32, 25 November 2022 (UTC)[reply]

Hi. I will be reviewing this article. This is the first time I review it, so there is a chance that I will require a second opinion. I will try my best, although my English is not excellently professional. Dedhert.Jr (talk) 12:32, 25 November 2022 (UTC)[reply]

I am still warming up, so I can only give this:

"A triaugmented triangular prism is a convex polyhedron with 14 equilateral triangles as its faces", while "tetrakis triangular prism, tricapped trigonal prism, etc. means that a polyhedron with 14 triangular faces". Umm, is there any between the equilateral and triangular faces? I can only know that the "equilateral" means the same sides of a triangle, but I have no idea about what "triangular" means in this context. Does it mean it is some kind of arbitrary side of a triangle, i.e., scalene? Dedhert.Jr (talk 12:37, 25 November 2022 (UTC)[reply]

#Construction: "When a polyhedron has only equilateral triangles as its faces, like this one, it is called a deltahedron." What do you indicate here as you write the phrase "like this one"? Dedhert.Jr (talk) 12:46, 25 November 2022 (UTC)[reply]

#Fritsch graph It was used by Fritsch & Fritsch (1998) as a small counterexample to Alfred Kempe's false proof of the four color theorem using Kempe chains, Small counterexample? Would you like to explain what this means? Dedhert.Jr (talk) 12:53, 25 November 2022 (UTC)[reply]

I can't find Soifer graph on a search. Perhaps it is not created at all. Dedhert.Jr (talk) 12:53, 25 November 2022 (UTC)[reply]

Triangular means shaped like a triangle. The faces are triangles. Their shape is triangular.

Like this one = like the triaugmented triangular prism.

Re "Would you like to explain what this means?": like everything in the lead, the detailed explanation is later. In this case, "later" means in the caption of the illustration in the "Fritsch graph" section.

We do not have an article on the Soifer graph. Nevertheless, that phrase has been used in the mathematical literature. About 18 times, according to Google Scholar. —David Eppstein (talk) 19:43, 25 November 2022 (UTC)[reply]

Re:Re:"Would you like to explain what this means?": I mean, what is the meaning of "small counterexample" anyway? I can only understand "counterexample" meaning, but I've never heard of the adjective word "small". My apologies if I still didn't catch it at all. Dedhert.Jr (talk) 00:16, 26 November 2022 (UTC)[reply]

In this case, small means "as few vertices as possible, but there is another one with one fewer edge". This is explained, in the section I pointed to. —David Eppstein (talk) 00:27, 26 November 2022 (UTC)[reply]

#Dual associahedron Is $A_{3}$ means a group here? Dedhert.Jr (talk) 00:19, 26 November 2022 (UTC)[reply]
This is a notation used to classify lots of different types of mathematical objects, including the ones named here. Some of them are groups (more precisely Lie groups). I think it might make the article too technical to go into more detail about how all these different kinds of objects correspond to the 3d associahedron, but each of the linked articles talks about how similar notation is used for the linked topics. —David Eppstein (talk) 00:29, 26 November 2022 (UTC)[reply]