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November 15th, 2008, 10:47 AM   #1
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The sixth Platonic Solid, and calculate body volume

Hello!

I need to find an explanation, why there isn't a sixth platonic body, I know that it has got something to do with angles but I don't see a connection.
I see that it would be impossible to put together a sixcorner but I fail to prove why it's impossible.

Platonic solids may also be known as Platonic bodies.

Next question, I need to calculate my bodyvolume. Perhaps a formula that I can use? Or just an explanation that I can learn from?

Thank you!
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November 15th, 2008, 11:36 AM   #2
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Re: The sixth Platonic Solid, and calculate body volume

Google: [only 5 platonic solids] will find several sources including this:

http://www.math.utah.edu/~pa/math/polyh ... hedra.html

Volume? Google again! [volume platonic solid].
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