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Loonie shape


Than_Bogan
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So Adam Caldwell mentioned the all-important hendecagon (which I presume will be incorporated into the next Denali logo).

 

A quick follow-up via google revealed something that I'm curious if Canadians are taught or just an unknown wacky fact about the Loonie (Canadian coin).

 

It is approximately a hendecagon (11-sided polygon), but not a true polygon for a fun reason: Polygons don't roll and their width changes depending on their orientation. WHO CARES right? Vending machines care!

 

So the Loonie is actually a reuleaux "polygon," and they do have those two properties that vending machines like. The reuleaux "polygons" are defined by replacing the straight lines with arcs whose center is the opposite vertex. That has the bizarre cool property that the width of the figure (or coin) is exactly constant measured at any orientation, even though its not a circle.

 

And this construction method only works for odd-sided figures. For the even ones there is no "opposite vertex." So it turns out there are other coins in the world that are reulaeux heptagons (7-sided) for example.

 

The amazing things you can learn because of BallOfSpray!!

 

Google reuleax for more.

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Thanks from a Canadian for some interesting Canadian trivia! I think the 11 points also has something to do with the fact the maple leaf on our flag has 11 points and a more practical use for the 11 points is so the visually impaired can tell it's a dollar coin.
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I think almost every non-American can agree that there are few things more humbling and annoying than being taught something you did not know about your nation... by an American. Kudos, @Than_Bogan. I try to learn something new everyday. You just made today an easy one.
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