In this drawing there are 5 nodes total, and 4 of them are odd. Therefore, this puzzle is impossible. Remember: You can only solve a puzzle if it has TWO ODD NODES or NO ODD NODES. |
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In this drawing there are 2 odd nodes, which means that there is a solution. In the case of 2 odd nodes, you must always start on one odd node and stop on the other. |
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In this drawing there are no odd nodes, so this puzzle also has a solution. When there are no odd nodes, you will always stop at the same point you started on! |
...You may wonder and ask, "What if there is only ONE ODD NODE?" The answer is that it is IMPOSSIBLE to draw a figure with only a single odd node, even by cheating!