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]
So in conclusion, what does $A_{3}$ means? I think it would more helpful to add an explanation about $A_{3}$ in this particular context. Dedhert.Jr (talk) 00:38, 26 November 2022 (UTC)[reply]
It means "the third thing in the A-series of the classification of this sequence of mathematical objects". It has a different meaning for each type of object, that would be complicated and technical and off-topic to explain in detail. For instance, the A3 Dynkin diagram is a diagram of little circles and lines between them that looks like — there are three little circles, and (unlike some other Dynkin diagrams) the lines are not decorated with numbers. The A means that it is just a straight row of undecorated circles and lines, and the 3 means that there are three circles. That's probably the easiest one to explain but the least helpful in terms of understanding how it relates to the associahedron. —David Eppstein (talk) 00:48, 26 November 2022 (UTC)[reply]

Does it a little bit MOS:SANDWICH between pictures in Fritsch graph and Dual associahedron? Dedhert.Jr (talk) 00:38, 26 November 2022 (UTC)[reply]
I deliberately tried to offset these two images vertically by enough distance so that, if you narrow down your screen width small enough for sandwiching to be relevant, you will also cause the text to spread out into enough more rows that they would be one above the other rather than overlapping. That's what I see when I try it in my browser, anyway. By the time I make it narrow enough for each image to be about 1/3 of a column wide, with 1/3 of a column of text between them, they do not have any rows of text in common with each other. Do you see something different? —David Eppstein (talk) 00:52, 26 November 2022 (UTC)[reply]