Even a generalized description of Ezekiel's visions would take quite a lengthy and detailed exposition, because of the many factors and elements involved in this glorious and indescribable segment of the Bible. I will therefore focus my answer to your primary question.
In Ezekiel 1:1, we are introduced to "visions of God". Verse 4 describes the startling sight of a whirlwind with a raging fire having great brightness. Verses 5 to 15 describes the four Cherubim, each having four faces (one on each side). These powerful spirit beings were like fire in appearance with lightning emanating from them. The following description is from an old Abingdon Bible Commentary.
"The description is full of the splendor of flashing light, so brilliant that the details are minutely revealed, but so dazzling that they are not clearly seen . . . Textual corruption, which do not seriously affect the general interpretation, have aggravated the obscurity in some points of detail"
Next to each Cherub one wheel was place next to another one. A few Bible commentaries state that the wheels traversed each other (one inside another). Like in a cross, they allowed the spirits to immediately go in any of four directions where they were told to go (verses 16, 17). In regard to how the wheels were engineered, our limited understanding makes its almost impossible to comprehend how such things would be made supernaturally.
The JFB Commentary offers the below explanation.
". . . each wheel was composed of two circles cutting one another at right angles"
There are two more facets that are described. One facet is the "rings were full of eyes" (verse 18). Since men's eyes are for seeing, and man is made in the likeness of God (Genesis 1:26), we can safely assume that they are meant for the same. The great number of eyes on the rings may portend or symbolize how great is God's awareness and direction of events. The second facet was dreadful and high rings (verse 18). It isn't clear whether, in regard to its shape, it means the ring depth or the large spoke size. In either case, it surely would surpass any of Hollywood's "special effects", only that this is very real, even as unseen to us today.
Some commentaries indulge in various allusions on this subject that is merely speculative and unsubstantiated by the Bible. The Scriptures are not for "private interpretation" (1Peter 1:20). We need to be satisfied with what God allows us to comprehend about the wheel vision given to Ezekiel.