Feasible not visible circuit drama

Suppose, we have four negatively charged small conducting spheres (A, B, C, D) having charge of the same magnitude to arrange in a three dimensional way such that they repulse each other in the least possible manner(and they are spaced in the least possible same distance with each other). Then they are connected with each other with wire.

Let, a voltage source has been connected in point A and any of the middle point of other connections which doesn't contain any node of A (i.e.: B-C, C-D.....). If the resistance of each wire is 1 ohm and resistance is proportional to the length of the wire, find the equivalent resistance between the aforementioned two points of that very circuit.

(The resistance of sphere might be considered negligible)