What is the total number of sides on the loonies in the smallest non-trivial 6-pointed star?
A loonie is the Canadian 1 dollar coin which is not quite round, it is a hendecagon. There have been recent questions here about polygonal and stellar numbers, numbers of coins which can be arranged into filled-in polygons or stellated polygons (stars). Usually such arrangements begin with a single coin, the trivial case. I want a recognizable star, or what some might recognize as a snowflake pattern, so more that one coin is required. Count the total number of sides on the loonie coins required to make the smallest recognizable (and filled-in) six-pointed star.
Happy Canada Day!
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Here is a picture:
http://photoshare.shaw.ca/image/a/0/1/234450/preview_snowflake0.jpg?rev=0
@Julius: A six-sided coin would fit together more nicely, but the only 6 sided coin I'm aware of comes from Myanmar (where snowflakes are less common) and that coin hasn't been minted in over 20 years. Furthermore, with a 6 sided coin, there would be a grand total of only 78 sides. That is too few for Canada Day, but Myanmar has more that 20 years yet to reach that anniversary.