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 clearly not all. —Tamfang (talk) 05:37, 28 October 2024 (UTC)[reply]