I am trying to draw a shape which has only 5 symmetries
I know Square has 8
Rectangle/parallelogram has 4
Triangle has 6
Circle has infinite
how do i know which shape has only 5
I know that a regular polygon with $n$ sides has $2n$ symmetries so there is no regular polygon with order of symmetry 5
so i came up with this one which has only rotational symmetry and order 5
my question is are there any shapes with symmetries of order 5 and which are not entirely rotational symmetries
also how do i generally find them for a given an odd order?
Thanks for any help.