Rubuta ci gaba don wannan sakin layi - Mednis ya gama na biyu a gasar zakarun duniya ta 1955 a bayan Boris Spassky (waɗannan biyu sun buga wasan su). Shi ne dan wasa na farko da ya doke Bobby Fischer a gasar zakarun Amurka. Ya taka leda a tawagar Amurka ta 1962 a gasar Olympics ta Chess ta 15
kuma ya gama daidai da na uku a 1961<unk>62 US Championship. Sakamakon wasan ya hada da na uku a Houston 1974, daidai da na hudu a Birnin New York 1980, kuma daidai da na farko a Puerto Rico 1984. Tarayyar Chess ta Puerto Rico, maimakon Tarayyar Chess ta Amurka, a hukumance ta gabatar da shi ga taken Grandmaster. Ya buga wasan a 1979 Interzonal gasar a Riga, wurin haihuwarsa.