This might help
https://www.computerarts.co.uk/__data...73_t_trade.pdf
An infinity curve is basicly like what you have but if you enclose it, say in a smoothed cube, you would get a nice curve to all the corners giveing a nice look to the "infinate" look to the scene. you can then bounce lights off planes etc to get nice reflections and control the specs etc.
"No pressure, no diamonds" Thomas Carlyle