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

They are known as commutative diagrams. They come in various sizes, shapes et cetera.

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I am not sure that the actual sizing of the diagram matters much;) –  Baby Dragon Jul 30 '13 at 21:04
@Ma: As a foreigner I got the impression that you were looking for a proper English generic term here. If you knew this, and were looking for a term for a commutative diagram of this particular form, then I misunderstood, and apologize for the light-hearted tone of the answer. The crowd seems to agree that there is no term for this particular type of a commutative diagram. –  Jyrki Lahtonen Jul 30 '13 at 21:10