It is called an icosikaitera. If you want to know what other shapes like this one are called, see the related link.
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According to Professor John Conway, a mathematician at Princeton A 24 sided polygon is called an icosikaitera. But apparently most mathematicians just call it a 24-gon.
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Icosikaitetra (not icosikaitera) is an adjective that means 24. The question does not specify whether it is a polygon with 24 sides or a polyhedron with 24 faces. Even if it were known that it was a polygon, there is no information on its shape - it can be convex or concave, small or huge.
Most mathematicians would use "24-gon." You can use tetracosagon or icositetragon
An octagon has eight sides, so three octagons altogether have 8 * 3 = 24 sides.