# 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!

No answers yet?

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.

Related posts:

- Canadian Currency: Loonies - help!? Research the production and composition of the loonie. How does the loonie differ from other coins? What is an “aureate” finish? Why was a loon chosen to be the symbol...
- If I were to count up all of the loose change I’ve collected over 36 years, how much money will it total to? Any guesses? Total value of coins? Total weight of coins? Total number of coins? Total number of each coin? Time it will take me to count them? Hint: I don’t...
- Where can I exchange canadian loonies and toonies? I have about dollars in Canadian dollar and two dollar coins. It seems no banks will do it, and Detroit Metro Airport says they will no longer take Canadian coins....
- On Nintendo DS’ Super Mario World, what happens when all the star coins are collected on every level? The star coins are referred to as the 3 large gold coins found hidden on every level/stage. Incoming Searches:what happens after getting all coins new mario dswhat do you get...
- Good riddle. Please star if you like it………………..? Mr Smith has lots of pennies, ten boxes in all. Each box contains 100 pennies, but one box contains coins which are all counterfeit and are slightly lighter, 1/16 of...

Well, that is a tricky one.

Let’s call A the number of coins,

A is solution of the equation

A = 1 + 4 + 3 + 4 + 1.

To see this just count the coins line by line. There are 5 lines each of which has 1, 4, 3, 4, and 1 coins, hence the equation. From that you can safely bet that A is either equal to 13 or at least quite close.

We then come to the number of sides of each coin. That too is hard but there is a hint: "hendecagon" Thank god wiki saves us once more 11 is the number we are looking for.

So the final blow is this: what is 11 * 13 ???

Well it’s (12 + 1) (12 - 1) = 12^2 - 1^2 = 144 - 1 = 143

ANSWER 143

you need a six sided coin to fill in the spaces on that star