This article is from the Puzzles FAQ, by Chris Cole chris@questrel.questrel.com and Matthew Daly mwdaly@pobox.com with numerous contributions by others.
Can you construct 4 equilateral triangles with 6 toothpicks?
geometry/construction/4.triangles.6.lines.s
Use the toothpicks as the edges of a tetrahedron.
 
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