"And, behold, there appeared unto them Moses and Elias talking with him. Then answered Peter, and said unto Jesus, Lord, it is good for us to be here: if thou wilt, let us make here three tabernacles; one for thee, and one for Moses, and one for Elias."
Sounds like it was right there. Why would they think the need for tents if they were just "seeing" into heaven? Also, I think Transfiguration was properly defined a few posts back.
A tabernacle is a place or worship. I took that as if Peter wished to build three places of worship (most likely altars) to Jesus, Moses and Elias.