Draw three triangles, such that each overlaps a different vertex
of the other two. That is, in triangles A,B,C with vertices
(A1,A2,A3), (B1,B2,B3), (C1,C2,C3), you'll find B1 and C2 inside
triangle A, C1 and A2 inside triangle B, and A1 and B2 inside triangle
Repeat #1 with identical right triangles. Can you do it
with isosceles right triangles? What is the smallest internal
angle possible in the triangles?
Repeat #1, placing all vertices on grid points. What is the
smallest rectangle which holds all three triangles?
Update 1 June, 2010. I'm no longer maintaining this site
regularly. I'll keep the title, since that's how it was originally
I hope to still provide occasional puzzles. Solutions are
welcome, but it may be a long time before I update them.
Ken's Puzzle Links,
March 2010: I've created a Disneyland Quest (like a scavenger hunt) for
Disneyland and Disney's California Adventure.