cube of resistors

1. The problem statement, all variables and given/known data
Here is a cube of resistors with each resistance of value "R".Find the equivalent resistance between A and B.

2. Relevant equations

3. The attempt at a solution

My book says the equivalent circuit of the cube is :

But i don’t think it is correct.They have made parallel combinations which don’t seem right.Is the book correct??

Attached Images
File Type: jpg DSC00458.jpg (40.2 KB)
File Type: jpg DSC00456.jpg (44.0 KB)

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