Logic Masters Deutschland e.V.

This puzzle has been constructed for the German puzzle grand prix round this year. Unfortunately, it was too difficult to be used in that round.

Rules (taken from the grand prix instruction booklet): Draw a path that passes orthogonally through centers of cells. There are two cells marked with rounded squares; the path’s two ends must be on those cells. The path cannot use any cell more than once (but does not have to use every cell).

Some cells are marked with pips. It must be possible to take a valid die with faces the same size as a cell, position it at one end of the path, and roll it along the path, tipping it over its edges, such that any time the die is on a space with pips, the die’s top face matches those pips (with an orientation matching the pip arrangement). The path must use all cells with pips. (Note that it is sufficient to draw the path to solve the puzzle; there might be more than one way to have a valid die (a cube where each face is labeled with a different number of pips from 1 through 6, and opposite faces have numbers that sum up to 7), such as the example solution where the 1 and 6 faces can be swapped.)

In addition, some cells are indicated as having “ice”. When the die moves directly from one ice cell to another, it slides without tipping or spinning (keeping the same face on top). Ice cells, like other cells, cannot be used more than once in the path.