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Correct-a-mundo!!! There is not a single shape (besides perfectly round) that could not be positioned in a way that would cause it to fall in the hole. None what-so-ever! It's funny to think that even Manhole Covers were thought out well before mass production began. You would just think they were round because they were going on a ROUND HOLE...lol
Also, seeing as how the damn things weigh about 38 gazillion pounds, trying to lift one is not an easy task. The method to move them typically is "Rolling them". Needless to say, trying to ROLL a 4 edged square hunk of metal would <!-- s:oops: --><!-- s:oops: -->
Veracity, the veracity of your statement is suspect:
"There is not a single shape (besides perfectly round) that could not be positioned in a way that would cause it to fall in the hole." , You couldn't be more wrong!
heard of "constant diameter curves" ?
A circle is just one of many such curves:
read
This
and
This
That said, you are bang on target with your second statement about the ease of rolling
R