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How are you going to get all that weight out of them? Without using unobtainium? The DW did it by not building 1/4 of the car.
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Because the rectangular wheel layout is more lap-time efficient it doesn't need to get down to the weight of the Deltawing in order to be faster than it, even with 350bhp, as my chart shows.
12 years ago we had the MG-LOLA EX257 which ran in the LMP675 class ("675" for 675kg, although the MG reportedly weighed 690kg).
http://en.wikipedia.org/wiki/MG-Lola_EX257
Or for a more up-to date example, how about the Wolf GB08S @ 550kg .
http://www.wolfracingcars.com/GB08S/TECHNICAL-SPECS
Throw in DRS for the rear wing, and full ground effects tunnels and we would have a very quick car indeed.