What is the name of two commutative squares?

How do you refer two commutative squares sharing one side as follows?

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There is no name for this. –  Stefan Hamcke Jul 30 '13 at 20:48
It's a map in the category $\mathcal C^{[3]}$ where $[3]$ is the category $0\to 1\to 2$. Yeah, useless. :) –  Thomas Andrews Jul 30 '13 at 20:52
I would refer to the commutative diagram above as "the commutative diagram above". –  Servaes Jul 30 '13 at 20:57
If you know about category theorem: If both squares are pushouts, then the outer "square" is a pushout, too. –  Stefan Hamcke Jul 30 '13 at 21:06