I had the same issue as reported by @Robert Riche, right down to using two iPad mini's and one of them not being able to connect to the other's world.
The Fix Robert suggested in his updated comment above (goto main iPad Settings, scroll down to the Minecraft app, and set "Local Network" to ON) fixed the problem. Thanks Robert (from myself and my happy children who can now play together).
I had the same issue as reported by @Robert Riche, right down to using two iPad mini's and one of them not being able to connect to the other's world.
The Fix Robert suggested in his updated comment above (goto main iPad Settings, scroll down to the Minecraft app, and set "Local Network" to ON) fixed the problem. Thanks Robert (from myself and my happy children who can now play together).