A third solution. I've been searching systematically for them (I've eliminated all the combinatorial solutions other than ABC, A14, A25, A36, B15, B26, B34, C16, C24, C35 - it is the only one with geometric solutions).
To see that it is distinct from the others, note that it has a tree with 7 immediate neighbors.
I believe that is all of them, though. Once I double check to make sure I haven't missed something, I try to put something together to show it.
A third solution. I've been searching systematically for them (I've eliminated all the combinatorial solutions other than ABC, A14, A25, A36, B15, B26, B34, C16, C24, C35 - it is the only one with geometric solutions).
To see that it is distinct from the others, note that it has a tree with 7 immediate neighbors.
A third solution. I've been searching systematically for them (I've eliminated all the combinatorial solutions other than ABC, A14, A25, A36, B15, B26, B34, C16, C24, C35 - it is the only one with geometric solutions).
To see that it is distinct from the others, note that it has a tree with 7 immediate neighbors.
I believe that is all of them, though. Once I double check to make sure I haven't missed something, I try to put something together to show it.
A third solution. I've been searching systematically for them (I've eliminated all the combinatorial solutions other than ABC, A14, A25, A36, B15, B26, B34, C16, C24, C35 - it is the only one with geometric solutions).
To see that it is distinct from the others, note that it has a tree with 7 immediate neighbors.
