In 1962 Thompson entered three John Crosthwaite designed cars in the Indianapolis 500. Unusually, they used a stock V8 Buick engine and it was in the rear unlike the front engined, race tuned, Offenhauser powered cars used by most competitors. It was the first stock engine to be raced at Indy since 1946. Thompson's crew, led by Fritz Voigt, were young, smart and hard working. Working 12-14 hour days, the car was designed and built in 120 days. For the race, the engine (enlarged to 4.2 litre capacity, the maximum allowed by the regulations for "stock block" engines) had to be detuned because they were concerned it would not last the distance. Despite being more than 70 bhp down on the other cars, Dan Gurney qualified eighth and was in ninth place until a leaking oil seal seized the gearbox and ended his race on lap 94. He was placed 20th out of 33. The team won the Mechanical Achievement Award for original design, construction and accomplishment.  Thompson's promotion skills pleased the sponsors with the publicity generated that year. For the 1963 Indianapolis 500 Crosthwaite designed the innovative Harvey Aluminium Special "roller skate car" with the then pioneering smaller profile (12 inch diameter) and wide racing tires (front 7 inches and rear 9 inches wide) and wheels. Thompson took five cars to Indianapolis. Two of the previous year's design with Chevrolet V8 engines and three roller skate cars. One of the new cars, the Harvey Titanium Special, featured a lightweight titanium chassis. Al Miller II raced one of the modified 1962 cars to ninth place despite only qualifying in 31st position. Duane Carter qualified one of the roller skate cars 15th but was only placed 23rd after an engine failure on the 100th lap. The small tire sizes and low car weights caused complaints amongst the old hands and owners, so for future races, cars were restricted to minimum tire sizes and minimum car weights.  1962 Formula One World Champion Graham Hill tested one of the roller skate cars at Indianapolis in 1963, but refused to race it citing its poor handling.  In 1963 Thompson traveled to England where, along with Dante Duce, he demonstrated his Ford-powered top fuel Harvey Aluminum Special dragster at the Brighton Speed Trials. It was then displayed at the Racing Car Show in London in January 1964.  Thompson brought three modified 12-inch tire cars to the 1964 Indianapolis 500, but new rules required him to use 15-inch tires. The Allstate sponsored team used Allstate tires and Ford engines. The chassis had to be altered to accommodate the larger Ford engines. Two of them qualified for the race. The car No.84 began the month with Masten Gregory as the driver but Eddie Johnson in car No.84 qualified 24th and finished 26th. Dave MacDonald in car No.83 qualified 14th and died in a fiery crash on the second lap.

Answer this question "Where did he race next?" by extracting the answer from the text above.
For the 1963 Indianapolis 500 Crosthwaite designed the innovative Harvey Aluminium Special "roller skate car" with the then pioneering smaller profile