Talk:Truncated triangular pyramid number

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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]