A 24-gon would thus officially be an icositetragon.
There are variations in spelling and formation
(eg dekagon, endecagon, triskaidecagon,...)
(the "kai" here means "and")
The "gon" has an interesting etymology : it is ultimately derived from the Greek word "gonu" for "knee", which they transferred to "angle".
This word goes straight back to the Indo-European, and is essentially the same in lots of languages:
gonu (greek) genu (latin) k nee (english)
French is similar to Latin here, and German to English (except that the "K" is still pronounced.
3) The "hedron" in "polyhedron" is also an Indo-European word, meaning "seat". A "cathedral" church is one that contains a seat from which a bishop hands down authoritative opinions (cata = down, hedron = seat).
In accordance with Grimm's law, the "h" is Greek correesponds to "s" in English, while "d" may soften to "t" and "p" or "b" to "f" or "v". So look:
penta five hexa six hepta seven hedr seat ped foot
4) In summary, a "polygon" is a thing with many knees, and a "polyhedron" a thing with many seats. . . .
I see someone asked about the 24-gon, 48-gon, 96-gon. The "official" names are
if anyone cares. A "myriagon" would be a polygon with 10000 sides.
. . .
I see that "undecagon" and "duodecagon" have been rearing their ugly heads again. The full set is