1) A line is drawn diagonally across every (individual) side of a cube, from one corner to another corner. How many patterns are possible, taking into consideration every possible orientation of the diagonals, including all six sides of the cube in every pattern?

2) A tetrahedral blob of clay is sliced by six PERFECTLY straight (planar) cuts, the pieces not moving from their original positions. What is the maximum number of tetrahedral pieces that can be formed, counting only the pieces not further subdivided?

3) Hollow victory is to Pyrrhic as hollow village is to [x]?

4) Universe is to cosmo- as universal laws is to [x]?

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1) A line is drawn diagonally across every (individual) side of a cube, from one corner to another corner. How many patterns are possible, taking into consideration every possible orientation of the diagonals, including all six sides of the cube in every pattern?

2) A tetrahedral blob of clay is sliced by six PERFECTLY straight (planar) cuts, the pieces not moving from their original positions. What is the maximum number of tetrahedral pieces that can be formed, counting only the pieces not further subdivided?

3) Hollow victory is to Pyrrhic as hollow village is to [x]?

4) Universe is to cosmo- as universal laws is to [x]?

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