1. The following picture ahows six die of diflerent shiapes commonly ued in role-playing motion keeps the die in contact with the table at all times, either on an edge or a face of the die, and rolls over each edge exactly once? NOTE: PROBLEM HAS CHANGED SINCE THIS PROBLEM SET WAS ORIGINALLY POSTED. PLEASE ANSWER THIS VERSION, NOT THE ORIGINAL VERSION. (b) Describe how to represent this question as a problem about Euler tours in graphs. For each of the six dice, what are the vertices and edges of the corresponding graph? (That is, in general terms, which features of the dice correspond to which features of the graph; you do not need to list all the vertices and odges.) 8 N 20 6, 1. The following picture ahows six die of diflerent shiapes commonly ued in role-playing motion keeps the die in contact with the table at all times, either on an edge or a face of the die, and rolls over each edge exactly once? NOTE: PROBLEM HAS CHANGED SINCE THIS PROBLEM SET WAS ORIGINALLY POSTED. PLEASE ANSWER THIS VERSION, NOT THE ORIGINAL VERSION. (b) Describe how to represent this question as a problem about Euler tours in graphs. For each of the six dice, what are the vertices and edges of the corresponding graph? (That is, in general terms, which features of the dice correspond to which features of the graph; you do not need to list all the vertices and odges.) 8 N 20 6