it takes 19 distinct points to make a nine pointed star.
btw 19 is the number of The Apostles of Bahá'u'lláh .
to draw a nine pointed star, you put a dot at the center of a page,
then another dot a certain distance away , say 3 inches,
then from the second dot , go half the distance back towards the original dot and 20 degrees to either side.
you should see a pattern that can be repeated and when repeated will place 18 dots
which would be basically be two circles each containing 9 dots
go up and down connecting the dots and tada
a nine pointed star
total 18 dots and one in the center ... 19 distinct points to make a nine pointed star
see also Baha'i calendar
if googled there are a whole bunch of awesome Baha'i calendar stuff
noteworthy see pic http://www.bahai.us/bahai-calendar
for add on to firefox browser http://www.bahaical.org/tools.aspx
nice pic of a kid with a nine pointed starhttp://childrensclasses.org/about/