The closest Kyrgios came at really bothering Federer and his quest of a sixth US Open crown was in the first set when Federer got out of a cage at 3-all, 0-40 to hold serve.
"I have barely done anything", Kyrgios, who fell victim to a virtuoso display from Roger Federer in the third round of the US Open in NY, said.
The second-seeded Swiss withstood an early onslaught from the unpredictable Aussie, firing 51 winners that included an unlikely forehand flicked around the net post that Kyrgios couldn't believe. "Maybe not that many people know him but he's a real hard-working guy out there and those are the guys who have all the respect from us top players in the locker room", Federer said.
However, there was one shot in the third set which caught the eye of everyone there at the court and those watching on the television sets.
EPTEMBER 01: Dominika Cibulkova of Slovakia shakes hands with Angelique Kerber of Germany after their women´s singles third round match on Day Six of the 2018 US Open at the USTA Billie Jean King National Tennis Center on September 1, 2018.
"This is a moment to remember", added Cilic, who booked a fourth-round meeting with Belgian David Goffin.
Kyrgios showed no signs of being a sore loser.
Both last-eight showings at the majors came when he was a teenager.
Djokovic, victor of US Open titles in 2011 and 2015, extended his dominance over Richard Gasquet with a 6-2, 6-3, 6-3 victory in front of a rowdy night crowd on the massive Ashe Stadium.
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While the 37-year-old Federer has mined the most out of his enormous skill to capture a record 20 Grand Slam titles, including five U.S. Opens, Kyrgios remains one of the sport's great enigmas, widely viewed as one of tennis's great talents and biggest underachievers.
Two seeded men lost in the afternoon to unseeded opponents: No. 4 Alexander Zverev and No. 17 Lucas Pouille.
Federer was 21 when he won his first Slam at Wimbledon in 2003 and admitted he's happy to be regarded as a role model, if not necessarily for Kyrgios.
Next for the 36-year-old American comes a quarterfinal against 2016 runner-up Karolina Pliskova, who beat Williams in the U.S. Open semifinals that year.
After announcing his arrival on the worldwide stage with a spectacular centre-court ambush of world No.1 Rafael Nadal at Wimbledon in 2014, Kyrgios has just two grand slam quarter-final appearances, plus four ATP titles, on his CV.
Suarez Navarro, seeded 30th, next faces 2006 champion Maria Sharapova, who defeated 2017 French Open victor Jelena Ostapenko 6-3, 6-2. Just the way he goes about things, I could take a leaf out of his book, " the 30th-seeded Kyrgios said. "You have sometimes days where you are trying everything, but it's not really working as you wish".
Federer, who is seeded second at Flushing Meadows, admitted that it was one of the best shots of his career.
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