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Put a cork in it [locked]


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#1 bonanova

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Posted 06 August 2012 - 07:44 AM

It's not hard to visualize a convex solid that will snugly pass through each of the 2" holes shown below.
The shapes are the outlines of the solid when viewed along three orthogonal axes.
In fact there are an infinite number of convex solids that can do this.

Describe or draw one of them.

What is the maximum volume such a solid?
What is the minimum volume?

three_holes_200.gif

By snugly it is meant that the entire perimeter of each hole is contacted as the solid passes through it.

Edited by bonanova, 06 August 2012 - 07:38 PM.
Add the red question.

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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

#2 bonanova

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Posted 07 August 2012 - 03:03 AM

I'm locking this thread because I posted it previously in a thread that's still open and where further solutions can be placed.

Sic transit gloria memory
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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell




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