Anise and star anise are two different things. There is no equivalence.
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No. An irregular polygon is a polygon whose sides are pretty much out of control. They are usually not equal to any other one side. So, no, a star is actually a REGULAR polygon.
Yes they are all equal
a regular star
It depends on how many points the star has.
A geometric star with five lines of symmetry is made by connecting the corners of an equal length sided pentagon. Since the pentagon has five equal sides, each line connecting the vertices (corners) will also be equal in length. Not equal however, to the sides of the pentagon. It is also called a pentagram.It is also a polygon.