A star has 10 sides and 5 vertices but if it's a decagonal star then 20 sides (10 for the star and 10 for the star) and 10 vertices (for the decagon in the middle, hence decagonal star).
But, if it's pentagram star then 10 sides and 10 vertices.
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A hexagon has 6 sides. The number of vertical sides can be any number from 0 to 3.
It has 4 vertices Four.It has four vertices
pentagon
Either no verticals or two verticals and two horizontals.
Verticals are corners so in a two dimensional a square has 4 verticals