Ok, so it's not a sequence

[David W. Wilson]

.but I don't think my work address is on math-fun.

 

At any rate, it's just a fun problem:

 

Easy: Two distinct triangles in a plane are at distance 1 if they share a
side. What is the maximum distance between two arbitrary triangles in a
plane?

 

Harder: Two distinct triangles in a plane are at distance 1 if they share a
side and the remaining vertex of one triangle lies on the other. Same
question.

 

Possibly harder: Generalize these problems to n-simplexes (simplices?).

 

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