Puzzle Time — Both Practical and Challenging
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Your kid has a plush d20 (or a regular icosahedron for our purposes). What you want to do is make other platonic solids (those with 4, 6, 8, and 12 faces) so that the solids are all the same volume.
When cutting the panels out to sew them, how long do you make each edge for each shape? Assume the average of the innermost radius and the outermost radius of the regular icosahedron is 6 inches.
I worked this out for myself, but wondered how the rest of you might have gone about it.
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First calculate the volume of the D20. Easy enough to Google or look up in the old geometry book. From there, assign the volume to the equations for the others and solve for X…
The Brad
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@lufins-dad said in Puzzle Time — Both Practical and Challenging:
First calculate the volume of the D20. Easy enough to Google or look up in the old geometry book.
Knock yourself out.
Yes, conceptually this is fairly simple. In practice, though, you're missing a TON of stuff.For starters: how do you actually get from the number I provided to the volume?
