What is it called when you have a span with more than two legs?

Question

Suppose we have a span $A \leftarrow C \rightarrow B$. Can we have a span with three morphisms? Can we add a morphism from $C \rightarrow D$? What is this called?

Answer 1

You could call it a multispan, though a multispan is an even more general concept than what you suggest.

Off-topic: Your question reminded me of a joke.

• Q: What do you call a donkey with three legs?
• A: A wonkey!