Total resistance through cubic circuit

[Fizzicist]

Homework Statement

Suppose a resistor R lies along each edge of a cube (12 resistors in all) with connections at the corners. Find the equivalent resistance between two diagonally opposite corners of the cube

Homework Equations

$$\Sigma$$I = 0 at a node (a junction)

$$\Sigma$$V = 0 through a loop

V=IR

The Attempt at a Solution

Not quite sure how to do this one algebraically. Would I just add up all the V/Is? how?

 

[Fizzicist]

Not quite sure where to start...can anyone help me?

 

[Rake-MC]

How about opening the cube out so it's flat and looking at it that way.

 

[Fizzicist]

Interesting...is that necessary though, or could I just apply kirchhoffs laws to it as it is?

 

[granpa]

I count from anyone node:
3 paths to 3 nodes which then connect by:
6 paths to 3 nodes which then connect by:
3 paths to 1 node.

connecting the 3 nodes together with wires should change nothing.

 

[AROD]

are you saying just ignore those 6 connections?

 

[granpa]

I think the post I was responding to was deleted.