Williamson had moved to 148 at stumps with Mitchell Santner on 13, the home side holding a seven run lead over South Africa's first innings of 314.
Chasing a revised target of 235 from 33 overs following two rain interruptions, Australia were struggling at 53 for three in nine overs when the heavens opened up for the third time in the day, forcing the onfield umpires to abandon the game as both the sides split points.
'It's obviously a great challenge that's ahead and I guess it's something to look forward to.'
Images from the T20 World Cup semi-final between England and New Zealand, in Abu Dhabi, on Wednesday.
New Zealand set Pakistan a tricky target of 319 and then landed two late blows to boost their hopes of a series-clinching victory in the second Test on Thursday.
'New bunch, new guys with a lot of excitement and energy'
Paceman Josh Little picked up Ireland's second hat-trick in T20 internationals when he grabbed a trio of New Zealand victims at the T20 World Cup on Friday.
Kane Williamson has shown that classically elegant batsmen, too, could prosper big time in the slam-bang world of Indian Premier League cricket and former Australia batsman Dean Jones wants the likes of Ajinkya Rahane and Gautam Gambhir, who have struggled in this year's IPL, to take cues from the New Zealand captain.
Latham also reminded his team not to lose focus on the second Test amid the revelries after winning the first match, as India has the firepower in its ranks to hit back.
New Zealand coach confirmed his team would rest on Friday with temperatures expected to reach 45 degrees Celsius
Getting the combination right would be topmost on Sunrisers Hyderabad's to-do list when they take on a qualitatively superior Mumbai Indians in an IPL encounter in Chennai on Saturday, trying to arrest an early slide after back-to-back defeats.
Pakistan lost two early wickets before captain Babar Azam steadied the ship with an innings of 79.
Williamson, Kyle Jamieson and Mitchell Santner, along with the team physiotherapist, were unable to secure an exemption to travel to Britain until May 11 so will remain in New Delhi until then.
New Zealand skipper Kane Williamson was on Thursday hit by a bug, compounding the visiting team's misery, but opener Tom Latham sounded optimistic about the batsman's availability in the second Test against India beginning in Kolkata on Friday.
Kane Williamson, leading New Zealand in a Test for the first time at home, scored his 24th half century to guide the hosts to an eight-wicket victory in the first test against Pakistan in Christchurch on Sunday. Chasing a target of 105 for the win, Williamson was dismissed on 61 with the hosts just a run shy of victory. Jeet Raval (36 not out) hit a four to push New Zealand over the line on 108 for two shortly after lunch on the fourth day. New Zealand had bowled the visitors out in their second innings for 171 about an hour into the day's play at Hagley Oval.
Images from the T20 World Cup Super 12s match between India and New Zealand, in Dubai, on Sunday.
Mumbai did well to defend 208 in batsmen-friendly conditions.
New Zealand captain Kane Williamson said he would also seek out Jofra Archer to offer an apology for the racial abuse the fast bowler said he was subjected to in the first Test.
This is a settled team and the majority of this squad will be available for the next World Cup, so they've got the building blocks of something very special.
New Zealand skipper Kane Williamson extolled Pakistan bowlers' "outstanding" performance against them, saying their clinical show at the death was of the "highest class".
'Rather than worrying too much about results, it's about trying to stick to a brand of cricket that we want to be proud of playing. I guess that's something that came out in the 2015 World Cup and it's flowed on from there.'
The New Zealand captain's 51-ball 89 against Delhi Daredevils proved that he may not rival the power-hitting prowess of someone like Chris Gayle but is technically adequately equipped for the short format.
New Zealand look to carry a bit of confidence from the 3-0 ODI series whitewash of the visitors.
Kane Williamson said it was time for the Black Caps to move on from the disappointment and focus on the India series.
New Zealand and Bangladesh enter their final group match of the ICC Champions Trophy, in Cardiff, on Friday, with the knowledge that even a win may not be enough to see either of them into the semi-finals.
Tuesday's game will be a repeat of the semi-finals of the 2008 ICC Under-19 World Cup in which a Kohli-led India defeated a Kane Williamson-captained New Zealand in Kuala Lumpur.
Martin Guptill will play in his seventh T20 World Cup and Devon Conway will keep wickets in addition to his batting duties at the tournament
Kane Williamson was looming as the difference between a comfortable Australian win in the second Test against New Zealand and a match situation that could tip the scales either way, according to both sides.
New Zealand captain Kane Williamson has reclaimed the No.1 position in the MRF Tyres ICC Men's Test Player Rankings after leading his side to the ICC World Test Championship title in Southampton last week.
The win also pushed the Black Caps firmly into contention for one of two berths in June's inaugural World Test Championship final at Lord's.
A sublime unbeaten 145 by Kane Williamson led New Zealand to a 27-run victory over the Proteas in the second One-day International on Tuesday to seal their first series win on South African soil.
New Zealand's fast bowling department has been hit hard by injuries as Matt Henry, Doug Bracewell and Adam Milne have also been sidelined.
Captain Kane Williamson and Ross Taylor combined to put New Zealand in a strong position in the first Test before India struck back late on Saturday to remove both just as their partnership threatened to take the match away from the tourists. Images from Day 2 of the first Test between New Zealand and India in Wellington on Saturday.
Indian openers have not replicated the kind of starts the Indian batting has grown accustomed to from its top-order.
New Zealand will go into the final day of the first Test against Sri Lanka needing 257 runs for victory with nine wickets in hand.
Who do you think should be part of India's playing XI against New Zealand in Sunday's final?
Sachin Tendulkar leads the cricket world to hail New Zealand's triumph.
Black Caps can only improve by lifting the title in Melbourne next month.
New Zealand batsmen have the necessary skills to negotiate the Indian spinners on turning tracks but must apply themselves for longer periods, captain Kane Williamson said after his team's loss in the opening Test on Monday.
New Zealand picked two uncapped players in all-rounder Daryl Mitchell and pacer Blair Tickner for the three-match T20 International series against India.
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