It is a hexagon all of whose sides are of equal measure. Note that it need not be a regular hexagon since the angles need not be equal (in the same way that a rhombus has four equal sides but its angles are not all the same).
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A hexagonal nut has the shape of an equilateral hexagon
Six equilateral triangles are found in a regular 6 sided hexagon
Join up alternate vertices of the hexagon.
Well, a hexagon is made of six equilateral triangles.
Any polygon that's equilateral must be equiangular.