Place different three-digit hexadecimal numbers (000-FFF) on each of the seven nodes of the following diagram:
There are six lines in the diagram, on each of which are three of the nodes. On each of those lines, the result of multiplying the numbers on those nodes should end in 001 in hexadecimal. The same thing for the circle, on which are also three of the nodes.
Possible solutions to the previous two questions [hidden in spolier tags, in case you want to solve the previous questions first]
Based on which you might guess
But, you would be wrong, this does not work! Can you find something that does work?