the solution you have provided is more accurate, thanks for sharing this with use... this will really help to other also tellpopeyes!
Note that this is a different network than the original network of Ttokoro.
If the entrance is at the top (as shown) then the exit should be at the crossing of Z7, Z11 and Z12, not on the crossing of Z2, Z3 and Z7!
The diagonal resistance of resistor 3D mesh is 5/6 ohm.
How about 1*2 3D Mesh?
Each branch resister is 1 ohm.
Infinity 2D mesh. RCD=4/π-1/2. This is Google puzzle.
How about Infinity 3D mesh. R(0,0,0)-(1,1,2)
in the infinity 3D mesh. The answer is
This is well known 1/3.
Diagonal resistance of resistor 3D mesh 1000x1000x1000. 1 h to solve the 1000^3 3D mesh.
Now Prime 6 can solve all 3D resistor mesh problems for both finite and infinity connections.