The purpose of a riza is to honour and venerate an icon. It also protects the painting under it because candles and oil lamps were often burned in front of them.
The riza is designed specifically for the icon it is to cover. It leaves open spaces where the face, hands, and feet of the icon's subject can be seen.
A few of the late Byzantine ones were designed with a riza from the beginning, so only the areas not covered by the riza needed to be painted.
We saw big ones and tiny ones, and one the size of a grandfather clock that was fully decorated with pearls. If I recall, most of them were the size of a large book.
There's just something about them. So precious to whoever owned it at the time. So beautiful!