For fans of the "story theory of truth" —
An example of artificial stupidity:
The phrases "midpoints of opposite faces" and "essentially
creating a smaller cube" are hallucinated bullshit.
The above AI description was created by inanely parroting
verbiage from the Wikipedia article "Diamond cubic" —
which it credits as a source. (See wider view of search.)
That article contains neither the word "theorem" nor the
phrase "unit cube " from the search-request prompt.
AI, like humans, is likely to fall victim to the notorious
"story theory of truth" purveyed by Richard J. Trudeau.
A real "diamond shape formed within a unit cube" is the
octahedron, one of the five classical Platonic solids.
Fans of the opposing "diamond theory of truth" rejected by
Trudeau may prefer . . .
(Log24, July 1, 2019).