He fled Hungary after the Hungarian Revolution of 1956, and finally became a Venezuelan citizen. At the end of the 1990s, he moved to the United States, where he played in the New York State championships at Saratoga Springs 2000 and Rochester 2001.
He twice participated in the Hungarian Chess Championship, in 1954 (won by László Szabó) and 1955 (won by Gedeon Barcza), and won a local tournament in Budapest in 1955. Tapasztó won the Venezuelan Chess Championship six times (1964, 1966, 1971, 1983, 1990, and 1995), played at Caracas 1967 (zonal, Miguel Cuéllar won), and represented Venezuela in Chess Olympiads three times (1964, 1988, 1990).
