Talk:Truncated triangular pyramid number

	This article was reviewed by member(s) of WikiProject Articles for creation. The project works to allow users to contribute quality articles and media files to the encyclopedia and track their progress as they are developed. To participate, please visit the project page for more information.Articles for creationWikipedia:WikiProject Articles for creationTemplate:WikiProject Articles for creationAfC
	This article was accepted from this draft on 23 October 2024 by reviewer Asilvering (talk · contribs).

Mathematics

	Mathematics portal This article is within the scope of WikiProject Mathematics, a collaborative effort to improve the coverage of mathematics on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.MathematicsWikipedia:WikiProject MathematicsTemplate:WikiProject Mathematicsmathematics
???	This article has not yet received a rating on the project's priority scale.

symmetric truncations

The number to be removed (truncated) may be same or different from each of the vertices - but all numbers being removed would be a smaller tetrahedral number (or triangular pyramidal number) by itself.

The source cited says no such thing. If I may indulge in a bit of original research: this table shows the counts in tetrahedra with equal tetrahedra removed from each corner.

0	1	2	3	4
4	0
10	6
20	16	4
35	31	19
56	52	40	16
84	80	68	44
120	116	104	80	40
165	161	149	125	85

Some of these are indeed tetrahedral numbers, but most are not. —Tamfang (talk) 05:37, 28 October 2024 (UTC)[reply]

Unfortunately it looks like this entire article is original research based on misunderstanding the OEIS sequence. Per the OEIS description, the sequence A051937 is constructed by removing 9 balls (one 3-ball triangle from each corner) from each layer of a tetrahedral pyramid up to (and including) the layer of side-length 4 (layers of smaller length side are completely removed as they have fewer than 9 balls). The author of this article seems to have invented a completely fictional construction that seems to reproduce some of the entries in this sequence, but also a lot more integers that are not included in the OEIS sequence.

As a separate matter, this sequence seems to not be significant in math, crystallography, or any other field as far as I can tell. I think this article should be deleted. Eigenbra (talk) 18:07, 28 October 2024 (UTC)[reply]

Such is my impression as well. —Tamfang (talk) 04:49, 29 October 2024 (UTC)[reply]