That's the Cooper-Consul, built by Tony Kunesch between 1953-56 on a Cooper 500 chassis with a 1500cc Ford Consul engine.
It had a lightweight tubular frame covered by Aluminium bodywork and was registered 90 APL.
The body was left unpainted throughout Kunesch's ownership.
Kunesh used the car every day for 5 years, clocking up nearly 50,000 miles before it was sold in 1961.
The car was sold to Californian Michael Tangney in 1987 but was brought back to the UK by Duncan Rabigliati at some point
and sold with the rest of his collection, now fully restored, in the late 1990s.
I don't know of the current whereabouts of this car.