Further to the triple offset (triple eccentric) butterfly valves, this geometry allows a valve construction with rigid sealing parts, i.e. metal seat which is inherently fire-safe, and cryogenic, and exhibits drop-tight (bubble-tight) sealing capability.
In other words, you can reliably seal a triple offset butterfly valve against high pressures and high temperatures. The valve can be constructed from materials that will hold tight continuously against hundreds of psi pressure at temperatures in the 1000 degrees F range...