begin  quoting Ralph Shumaker as of Sat, Mar 17, 2007 at 05:14:48AM -0700:
[snip]
> That reminds me of the SAT or ACT (or somesuch) many, many moons ago, 
> where a few students challenged (and eventually won against) a couple of 
> answers on the test.  One asked, ~"If you have two triangular pyramids 

"Triangular Pyramid" threw me a bit. They're talking about tetrahedra.

> (four sides each) and join them such that one side of one is in full 
> contact with one side of the other, how many faces are left exposed?
> A) 2
> B) 3
> C) 6
> D) 7
> 
> Your response was marked wrong if it was not D.

What was the challenge argument?

/me ponders

It doesn't say that the tetrahedra have to be the same size. So
if tetrahedron A is much much larger than tetrahedon B, then one
face of B will be "fully in contact with" one face of A, but A
will have all four faces exposed (but one slightly obscured).

That gives 7.

No other case comes to mind at the moment.

-Stewart

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