Equivalent Circuit: Rotating for Equality

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In my textbook, the text says that the following two circuits are identical after rotating it…can someone explain why this is true?
 

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The circuits are equivalent because they have the same connections between the same elements. In each diagram look at the circuit elements connected to node a, and in each diagram look at the circuit elements connected to node b. In both cases the same elements have the same connections so the circuits are the same regardless of how they are drawn.
 
Combine all the resistors and you'll see that they are the same
 
HomogenousCow said:
Combine all the resistors and you'll see that they are the same

Yes, that would work, but it is a completely unnecessary effort. Reread posts 2 and 3.