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Five knights and five barbarians have to cross a river with only one boat that can carry at most three people.  It was noted that if the number of barbarians outnumbers the knights on either side of the river, the barbarians would kill the knights on that side.  Also, the number of barbarians should not exceed the number of knights on the boat or killings would occur.  How would all the five knights and the five barbarians cross the river.  What is the minimum number of boat trips needed for the crossing without any knights being killed.

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Bits and Beyond ...


Platonic solids are regular geometric solids with regular plane faces.  There are only five platonic solids.  These are the cube, tetrahedron, octahedron, icosahedrons, and dodecahedron.  The cube has six faces, each of which is a square.  The tetrahedron has four equilateral triangular faces.  The octahedron has eight equilateral triangular faces.  The icosahedron has twenty equilateral triangular faces.  Lastly, the dodecahedron has twelve equilateral pentagonal faces.


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