Ya learn something new every day!

having been a sundayschool teacher for several years, I knew the right answer to your question
but as for what the wheels of Ezekiel are, I'm gonna pass on that one

one thing I learned a while ago that really blew me away is the meaning behind the "squareness" of the New Jerusalem
Revelation 21:16: And the city lieth foursquare, and the length is as large as the breadth: and he measured the city with the reed, twelve thousand furlongs. The length and the breadth and the height of it are equal.

that was something that always baffled me
I figured there was something about the height of the city that was important, but I couldn't figure it out
until I had a preacher explain it to me
"look for a pattern" he said "where in the bible have we seen a perfect cube before?"
well, it turned out, this happened twice
the first time we see a perfect cube is in the back part of the tabernacle, the Most Holy Place, the very dwelling of God which the high priest could only enter once a year
this Most Holy Place showed up again in Solomons temple, in 2nd Chronicles 3:8 And he made the most holy house, the length whereof was according to the breadth of the house, twenty cubits, and the breadth thereof twenty cubits: and he overlaid it with fine gold, amounting to six hundred talents

so now there is a pattern, the perfect cube is a reference to the Most Holy Place, the dwelling place of God on earth
(I left out the mention of the temple in Ezekiel, because I couldn't find the height of it)

now, with that in mind, the interpretation of the new Jerusalem as a perfect cube is clear, it points to the Most Holy Place, the presence of God Himself
it is in fact saying, we will Dwell with God for ever