The Boxing Day test match at Melbourne has limped into its final day, with India needing two more wickets for a convincing and thoroughly deserved victory. India claimed an extra half hour to try to finish things today but were unable to do so.
INDIA SECOND INNINGS – 54-5 OVERNIGHT TO 106-8D
Patrick Cummins emulated Jasprit Bumrahby picking up career best test bowlinjg figures in this match (6-27 in his case). India’s declaration left Australia needing 399 to win…
AUSTRALIA SECOND INNINGS 258-8
Australia’s main batting performed like a squad of “Wattos“ – most of them got some sort of start but none went on to a significant score. Then that man Cummins showed that his abilities are not entirely restricted to bowling – he is not a genuine allrounder but his batting is definitely a cut above that of the out and out tailender – he finished the day on 61 not out, the only Aussie fifty of the match. Nathan Lyon at number ten held out for over an hour, which should have had some his supposed betters squirming as well.
Bumrah added two wickets to his first innings six, equalling a record match aggregate for an Indian paceman in Australia (Kapil Devtwice took eight in a game there andAjit Agarkar achieved the feat once). Ravindra Jadeja picked up three wickets with his left arm spin and Ishant Sharma and Mohammed Shami also struck.
India deserve to be on the brink of victory, and Cummins’ late defiance will end up enhancing the entertainment value of the match but not affecting its result.
SOME THOUGHTS ABOUT THE UPCOMING ASHES SERIES
This English season the Aussies come calling to resume the oldest grudge match in international sport. Based on their unconvincing efforts against India at home and England’s triumph in Sri Lanka I make the home side heavy favourites, probably to win with a very comfortable margin of superiority.
Looking at the match at the MCG prompted some thoughts about England’s bowling options for this series, and I have arrived at the following:
England need at least one bowler who can produce vicious pace in their squad – which means that the Norfolk born Olly Stonegets the nod from me.
James Anderson, who in the veteran stage of his career no longer has the pace but has ringcraft in spades is of course a guaranteed selection.
At least one other specialist pace bowler will be required to support the first two.
After their triumphs in Sri Lanka it is hard to look beyondRashidand Leachfor the front-line spin bowling roles at present.
If his head is in the right place Ben Stokes could be useful as back up bowler but should not be considered for a front-line bowling slot.
I am largely happy with the front-line batting for England, with Ben Foakes having made the keepers role his own and Bairstownow surely ensconced as no 3. I am not entirely happy about the continuing presence of Jennings but he did make runs in Sri Lanka and the Sutcliffe Super Radical Solution (Tammy Beaumont to be given her chance among the men) is not going be adopted any time soon.
As against this Australia are short of both form and confidence, and with the honourable exception of Usman Khawaja have no front-line batsman who is currently scoring with any consistency.
Thomas’s predicted Ashes outcome: England 4 Australia 1 (I do not believe that these Aussies are sufficiently bad as to be left winless but England look better in all departments).
Finally for those who have reached the end of this post here are some pictures from my “Cabinet of Curiosities”:
A ‘farewell to Alastair Cook’ post, with some suggestions for the future.
As well as this current match I will be looking to the future (and inevitably back to the past).
ENGLAND IN COMPLETE COMMAND
Alastair Cook has ensured that tomorrow’s sports pages will feature one story and one story only by reaching a century in his final test innings (it is not quite a duplication of Greg Chappell’s ‘full circle’ act of scoring centuries in his first and last test innings, because Cook reached his maiden ton in the second innings of his debut match, but it is a unique bookending double for Cook because he scored a fiftty and a century on debut and has now done the same in his final test match. The hundred was brought up courtesy of Jasprit Bumrah’s KP impression – shying wildly at the stumps with no chance of a run out even if he had hit and seeing the ball race away for four overthrows, allowing Cook the rare distinction of completing his hundred with a five. Cook has just gone for 147. His aggregate of 218 in his final match is not a record – that belongs to Andy Sandham who at the age of 39 scored 325 and 50 against the West Indies at Sabina Park (in a match that was abandoned as a draw after two days were washed out and England then had to catch the boat home). For the home series against Australia England reverted to the regular opening combo of Hobbs and Sutcliffe, and as fortune would have it Sandham never played again, while second in that roll of honour is Bill Ponsford who scored 266 and 23 the Oval in 1934, helping Australia to clinch the Ashes with victory by 562 runs. Among the welter of records generated by this final innings Cook is now established as the most prolific test match left hander of all time, having moved ahead of Kumar Sanggakkara. Cook finishes with 12472 runs at 45.35 and having occupied the crease in test match cricket for just over 621 hours in the course of his career (103.5 days play = batting for the equivalent of just over 20 of his 161 test matches).
The fairytale script for the rest of this match has Anderson moving ahead of McGrath to become the leading wicket taking seamer in test cricket history, preferably with the history making wicket being that of Virat Kohli. Given the size of England’s lead and the amount of time left in the game the victory is pretty much nailed on.
Thanks to their policy of sticking with Jennings long past his sell by date England now need two new openers. I see the following options for England now:
The cowardly (and in my view indefensible) option of sticking with Jennings and recalling Stoneman so that they have an opening pair who have both played test cricket.
The “safe” option of going with one of Stoneman/ Jennings and presumably one out of Rory Burns or Nick Gubbins
Go for a complete fresh start with Burns and Gubbins both debuting at the top of the order. Preferable in my view to either 1 or 2 but hardly ideal.
The left-field option that I have mentioned in previous posts (herefor example) of giving Tammy Beaumont who has been scoring bucketloads in international cricket the opportunity to play alongisde the men and giving the other opening slot to either Burns or Gubbins.
Option 1 if taken would see me breathing fire, option 2 would be disappointing but unsurprising, I would applaud the taking of option 3, while I recognize that there is basically zero chance of option 4 being taken I would love to see it happen.
Apart from the retired Cook and the (I hope) dropped Jennings I would include the other nine from this match, Ollie Pope, Chris Woakes and Mark Wood in the touring party to Sri Lanka, add in Bess as an extra spinning option (likely to be needed in that part of the world), certainly give consideration to further beefing up the spin department with Amar Virdi, and pick top order batters Beaumont, Burns and Gubbins envisaging the first two as regular openers and Gubbins as back-up in case of injury. Certainly three genuine openers are needed, and as far as I am concerned if either Stoneman or Jennings feature the selectors will have failed in their duty. England have seven matches to develop a settled side before the Aussies come calling next year, and need to use them properly – and picking two openers who are proven failures at the highest level would not be doing that.
BACK TO THE PRESENT
While I have been writing this England have reached tea with their lead already past 400. The final session should go as follows: cram on as many runs as possible in 1st hour after tea and then declare if not all out, and then get stuck into India hoping to knock the top off their second innings before the close. Being greedy, and tomorrow being a work day, I hope Anderson gets his three to move ahead of McGrath tonight, as if he doesn’t I will almost certainly miss that historic moment.
If, as now seems likely, England win this series 4-1 will they have deserved it? Absolutely – yes India had good chances at times of four of the five matches in this series but save at Trent Bridge they could not close things out. In match 1 England were 87-7 in their second innings, only 100 to the good, but the last three wickets more than doubled their score to set a target that India could (and ultimately did) get in trouble chasing, in the second game England dominated from start to finish, while in the third India did likewise, in the fourth England were 86-6 in the first innings and recovered to reach 246, and in this match England were 181-7 and then 214-8 in the first innings before India let things slip to such an extent that England tallied 332 in the end, and since that late order revival they have been in control (although India’s tail staged a minor wag of their own to restrict the first innings advantage to a mere 40).
Some thoughts on the current test match, some mathematics, some climate change themed links and some photographs from an upcoming militgaria auction.
Although my first and main focus in on the current test match between England and India I also have my usual assortment of other goodies.
SWITCHBACK RIDE AT THE OVAL
When England were 120-1 at one point yesterday it looked like they were making a solid if slow start. India then took control of the game, England finishing the day 198-7, with Jos Buttler looking to marshal the tail in a recovery act (the first time this millennium that an uninterrupted test match day in England has yielded less than 200 runs). When Rashid was out fairly early this morning to make it 214-8 the question was whether the Broad and Anderson could last long enough to see England to 250. Thanks to some crazy Indian tactics the final England wicket did not fall until the total had reached 332, Buttler top scorer with 87 and Broad a useful 38. Buttler was last out when it finally occurred to India that it might not be a good idea to allow him singles at will and set a field that necessitated improvisation if he wanted to farm the strike.
The “tactic” of concentrating all one’s efforts on the tailender and declining to make any effort to pressurise the senior batter is not one I have ever approved of, and today saw one of it’s many ignominious failures.
Having failed yet again Jennings now surely has one innings left to save his test career. There are seven test matches for England, six overseas and one at home against recently elevated Ireland before the Aussies come calling, and it is those matches which can be used to bed in a new opening pair (it would be a major ask for an opener to make their debut against them) – and I do not see Jennings being one half of that pair. As I was writing this paragraph Stuart Broad picked up the first Indian wicket. Those who read my previous postknow that I have my own highly unorthodox solution to the problem of who the new opening pair should be (the driver of the bus I travelled home from work on yesterday, who is a follower of this blog, commented approvingly on the controversial element of this, so I am not alone).
If, as now seems to be one of two live possibilties (a draw and overall 3-1 being the other) England end this series with the scoreline 4-1 in their favour India will have chucked this match in the first part of day 2. Virat Kohli is a great player but on all available evidence he has precisely no aptitude for captaincy. In thirty years of being an avid cricket follower I cannot recall a finer demonstration of how not to polish off an innings.
First up solutions to the problems I set on Wednesday (all problems in this section come by way of brilliant.org):
WHICH STAR IS CLOSER?
First the answer:
The blue star has changed relative position more than the red, hence it must be closer, while all the other stars are so far distant that they have not changed relative position.
Here is Brian Moehring’s solution:
Here is another problem:
Three closely related pieces here.
Richard Murphy brings news of a campaign victory – the BBC has admitted to getting its coverage of climate change wrong and has warned people that it is not necessary to give airtime to climate change deniers for the sake of balance. Here is the end of Murphy’s pieceon this: Of course I am pleased.
These pictures all come from our militaria sale that will be happening on September 19th. Disclaimer: one of the items pictured is a relic from one of history’s vilest regimes – I show it because it is a remarkable specimen which has already attracted large amounts of interest.
Congratulations to England on their series win, a farewell to Alastair Cook who has announced his impending retirement from international cricket, some maths problems and solutions and some photographs.
This is going to be a long post because there is a massive story to cover concerning the cricket in addition to the match itself. I will also be including some mathematical problems and solutions and of course some of my own photographs.
ENGLAND WIN A THRILLER TO TAKE THE SERIES 3-1 WITH A MATCH TO GO
On Thursday when England stumbled to 86-6 after winning the toss and batting I was not expecting to be writing a piece of this nature. England failed to polish off the Indian first innings when they had a chance of a lead. When Stokes stuffed skipper Root (run out 48) it was 122-5 and England led by only 97. Then came another lower order fightback, and with Curran adding 46 to his first innings 78 England set India 245 to win. The match was settled while I was at the Mencap Beach Hut, Old Hunstanton on an NAS West Norfolk day out. As usual the key wicket was that of Kohli, and once he had gone India never got back into contention, Moeen Ali adding four wickets to the five he took in the first dig (he is very much a bowler who likes being at home – 91 wickets at 31 in England, 51 at 52 abroad) to help settle things. In neither innings did England’s top order deliver sufficiently (a recurring problem). Aside from Root’s 48 from his preferred no 4 slot in the second innings, the highest score from an England player in the top four was Jennings’ second innings 36. I am now going to through England player by player.
A N Cook – see next section
K K Jennings – a failure in the first innings, and in many ways a worse story in the second – an opener who gets as far as 36 should be settled in for the long haul. I believe that with the series safely won and the situation ripe for experimentation he should be dropped.
J E Root – the skipper dropped himself to no 4 in the second innings and it took a run out to get rid of him then.
J M Bairstow – he was sufficiently injured to prevent him from keeping but not apparently from batting, but if he is to play as a specialist batsman it should be at no 3.
B A Stokes – the new, responsible Stokes played well up to a point in this match but in the second innings he overdid the blocking to the point of handing the initiative to India. Also running out the skipper never looks great (save perhaps at Christchurch in 1978 when Botham, allegedly acting on instructions from vice captain Willis to do whatever was needed to up the run rate, stitched up skipper Boycott).
J C Buttler – one of only two England batsmen to have topped the 250 run mark thus far in the series (the other being the wunderkind Curran) and competent behind the stumps.
M M Ali – a useful batting effort after England’s disastrous start on day 1 and two good bowling performances. His mid-match promotion to number three (where he did recently hid a double century for Worcestershire v Yorkshire) shows how desperate England are to find a way for Root to bat at four.
S M Curran – about the only thing the youngster hasn’t done in this series is walk on water! He is establishing himself as a star player.
A U Rashid – a poor match with both bat and ball, but he is too good not be firing again soon.
S C J Broad – a solid match for the veteran new ball bowler. He has now drawn level with Sir Richard Hadlee in the all-time test wicket takers list.
J M Anderson – a quiet match for one of the all-time great swing bowlers, but even though he did not take many wickets he continued to command respect.
I will end the cricket part of this post by naming my team for The Oval.
FAREWELL ALASTAIR COOK
Alastair Cook, after 160 test matches, the last 158 in sequence (the longest unbroken run of appearances in test history, and not likely to be challenged any time soon) has announced that the last match of this series, at The Oval, will be his international swansong. This marks the end of an epoch not just for England but for test cricket – in many ways Cook is the last true test match batsman, having made his debut before T20 was a really major thing and unlike many who get seduced by the bright lights and big money at tournaments such as the IPL he abandoned short form cricket to concentrate on his test match career. His achievements in test cricket placve him firmly among the greats of the game, and I think he has timed his announcement exactly right, bowing out on his own terms (which he had more than earned the right to do) and before too many people began to ask just why he continued to be picked.
On the 2010-11 Ashes tour Alastair Cook had to most successful visit to that part of the world by anyone named Cook since Captain James called by in 1770, and the most successful by an England batsman since Hammond in 1928-9. He played three monumental innings in that series, a match saving 235 not out at the Gabba (also sometimes referred to as the ‘Gabbatoir’ on account of what often happens to visiting sides there), his 148 at Adelaide that set the stage for the Pietersen innings that put Australia right out of that game and the 189 at Sydney in the final game that ensured that the final scoreline for the series would reflect England’s dominance (a 2-2 draw would have been an utter travesty, and even 2-1 to England after a drawn final match would have looked better than Australia deserved).
I have no doubt that there will be occasions in the near future when England find themselves wishing for Cook’s cool head and fighting qualities. It will be hard to get used to an England order without the name Cook at the top of it.
From this huge cricket fan and devotee of test cricket the message is “Well done Alastair, and thanks for some fabulous memories, especially of the Aussies being humbled in their own backyards”.
An account of the first three matches of the test series between England and India plus some photographs
I have not written about the goings on in the current England versus India Test series as yet, because I have been busy writing about other stuff. This post repairs the omission.
MATCH 1 AT EDGBASTON
This was a nail-biter of a game, with fortunes swinging constantly as it progressed. When India were 115-6 in response to England’s 287 it looked like the home side were firmly in the driving seat, but Virat Kohli marshalled the lower order to such purpose that India trailed by only 13 on first innings. When England then slumped to 87-7 in their second innings it looked settled in India’s favour, but Sam Curran played a fine innings to give England a target of 194 to defend. England took wickets consistently, but not until Kohli was finally dislodged by a Ben Stokes yorker that trapped him plumb in front to make it 141-7, leaving nos 8, 9, 10 and 11 needing to cobble together a further 53 did the home side actually look favourites. They managed only 20 of those runs, and England were one up in the series. Curran was deservedly named player of the match (Kohli’s contribution of 149 and 51 was not enough to save his side from defeat, so it would have been wrong for him have got the award).
SECOND TEST MATCH AT LORD’S
India batted first in very difficult conditions. Nevertheless, and magnificently as England’s seamers bowled in conditions made to measure for them, a tally of 107 all out looked pretty definitively inadequate. When England were 131-5 themselves it looked less so, but a monster partnership between Bairstow and Woakes (in in place of the unavailable Stokes) effectively settled the outcome of the match. Woakes completed his maiden test century, being 137 not out when England declared, while Bairstow missed adding to his own tally of such scores by a mere four. India collapsed again (130 all out this time) and England were 2-0 up in the series. Anderson became the first bowler to take 100 test wickets at Lord’s in the course of this game, and only the second ever to 100 at a single venue anywhere (the first, Muttiah Muralitharan, did so at no fewer than three different venues). Woakes’ century meant that joined the select list of cricketers to feature on batting and bowling honours boards at Lord’s (Ian Botham is there, and among overseas cricketers Keith Miller is the sole person on both boards).
THE THIRD TEST AT TRENT BRIDGE
Before this match got underway England perpetrated a blunder, setting the scene for four and little bit days in which such things would become routine, by dropping Sam Curran after two matches in which he performed excellently to make way for Ben Stokes, now cleared of all criminal charges, to return to the squad. I personally would not have selected Stokes at all, but even had a gun at the head proposition forced me to do so nothing would have induced to me to drop Curran (yeah, pull that trigger if dropping Curran is the price to pay for you not doing so!).
Perhaps feeling after the first two matches that they could bowl India out on anything England put them in after winning the toss. India tallied 329, helped by some butter-fingered English fielding. The match was won and lost in the space of an hour and a half on day two when England being 54-0 in reply to 329 became England 128-9 in reply to 329. Buttler and Anderson got the final England first innings total up to 161. In their second innings India reached 352-7 before declaring leaving England two days and a mini-session to negotiate or 521 to score. Kohli had his second century of the series, having misssed out by three in the first innings. Cook and Jennings did the first part of their mammoth task, getting England to the close without losing a wicket. Both then fell early on day four, and two more quick wickets followed, at which point Buttler and Stokes joined forces. Their partnership at least showed some belated fight, and Buttler completed his maiden test hundred, while Stokes batted for a long time in largely defensive manner. Another clatter of wickets followed the breaking of the partnership and it was only some bloody-mindedness on the part of Rashid and Anderson (who had earlier in the game become only the second bowler to record 100 wickets in test matches against India, behind Muralitharan) took the game into a fifth day.
Somewhat bizarrely the Trent Bridge authorities decided to charge £10 for admission on a day that could have lasted for one ball (actually it managed to last for 17, meaning that anyone who paid to get in did so a rate of just under 59p per delivery). At the MCG in 1982, when again the final day could have lasted one ball, but there was also an outside chance of a home victory (37 needed with one wicket left BUT at the crease with no 11 Jeff Thomson was a certain Allan Robert Border) the authorities there did not charge admission. On that earlier occasion those who took advantage of the freebie got 85 minutes of gut-wrenching tension and one of the closest finishes of all time (England won by three runs after Thomson nicked one from Botham that would have had the umpire spreading his arms had the no11 simply ignored it, Tavare palmed the ball upwards and Geoff Miller took the rebound. Here, with in excess of 200 required and nos9 and 11 together at the crease there could only be one result (the largest number of runs that a last wicket pair have ever knocked off to win a first-class match is 76 way back in the fifties). Thus England were well beaten and lead the series 2-1.
England’s top four is their major current problem area. At Trent Bridge those positions were filled by:
England’s all-time leading test run scorer but also someone who has not had a decent score since the Melbourne featherbed in December.
Someone who is clearly out of his depth at this level (Jennings)
One of the three best batsmen currently eligible for test cricket (Root – Kohli and kiwi Kane Williamson are the other two) to be found anywhere in the world.
A fine young batsman who at this stage of his career is not a test match number four.
The above situation, India managing a decent first innings total and the fact that Root for once had a poor game put a lot of pressure on the middle order, and Buttler and Stokes kin the second inninsg apart, they folded under it.
My suggested squad for the fourth test is: A N Cook, R J Burns (someone with a magnificent record as an opening batsman who is probably ready for elevation to the test match ranks), B A Stokes, J E Root*, O Pope (I did not say that he is not a test match batsman, and I believe that he can be, and should be persevered with, just not as high as number four, a position he never occupies even for his county), J C Buttler+, C Woakes, S Curran, A Rashid, S C J Broad, J M Anderson. If two spinners are warranted then Bess comes in for Broad, with Curran sharing the new ball with Anderson (the latter being a change I might make anyway, having Broad as third seamer). When recovered from his injury Bairstow comes in to the squad, probably replacing Stokes at no 3, just possibly coming as opener, bringing down the curtain on Cook’s illustrious career. Some of these suggestions, especially even considering dropping Cook might be seen in certain quarters as heretical.
I still just about make England favourites for the series (after all, they are still ahead), but they need to respond better to opponents making decent totals – this not the first time in recent years that they have folded in response to a respectable but not massive total – it happened twice against South Africa last year.
For you hardy souls who have made it to the end of this post, here are some of my photos:
Some cricket related thoughts, photographs and solutions to my most recent set of problems.
I have a couple of cricket related things to share, a few photographs, and solutions to the puzzles I set in the post “Cricket, Photographs and Puzzles”.
The third round of Championship matches were scheduled to start yesterday, but most did not get underway due to the weather, and those that did get underway were heavily affected by the weather. I have two other things to mention in this section:
WORLD CUP 2019 SCHEDULE
The schedule for the 2019 World Cup is now available to the public (see here for full details). The tournament is as usual spread out over far too long (starting at the end of May but not finishing until mid July) because the organisers will not stand up to the TV people and schedule multiple matches for the same day. In 2015 I put up a post demonstrating how a 16-team tournament could be scheduled to last no more than three and a half weeks, and I reproduce the text from that post below:
THE SUTCLIFFE FORMULA FOR ORGANISING A CRICKET WORLD CUP
There has been much talk at the Cricket World Cup about how the tournament should be formatted, especially given that there are those who would reduce it to a ten team tournament (so utterly harebrained a notion that I do no more than mention it). Several of the associate nations at this world cup have given good accounts of themselves, with Ireland having a strong chance of progressing to the quarter finals.
My formula for a Cricket World Cup would be as follows:
16 teams to play in the tournament. Stage one would involve two groups of eight teams, the top four from each group progressing. Each group would play its matches in sets of four (hence two groups of eight), making seven rounds of matches for each group, to played on alternate days (i.e. this stage would span two weeks, with each side having a day off between matches.
After the group stage would be a three day break before the quarter-finals, which would be played all on one day. After a two day break the semi–finals would take place. Then following another two day break the final would take place. This would mean that the tournament would be played in a period of three and a half weeks (a sensible length for a global tournament).
As for the TV people: If they don’t like it they can lump it.
A SUGGESTED ENGLAND TEAM FOR 1ST TEST MATCH
The early stages of this cricket season have been less than satisfactory, but I have some thoughts about an England team for the first test match nonetheless. In batting order:
H Hameed – Mark Stoneman has had ten test matches without producing a serious score, and the fact that he has reached 50 five times but not gone beyond 60 is enough for me to call time on him. Hameed is restored to full fitness (it was injury that ciost him his place after an encouraging start to his test career) and should be given another chance.
J Bairstow, playing as a specialist batsman (he is plenty good enough to do so).
J Root (Captain)
D Malan – one of the few England test batsmen to be able to claim a successful tour of Australia and New Zealand.
M Burgess (wk) – a fine wicketkeeper, and in what is currently a very exclusive club of batsmen who have produced two major scores this season.
S Curran – a left-arm pace bowler who has been knocking on the door. The fact that he bowls with his left-arm will lend variation to the seam attack.
J Leach – finally given a chance in the last test of the New Zealand leg of the tour, he bowled well and must surely be persevered with.
D Bess– stranger things have happened than an English pitch in May warranting the selection of two spinners, so Bess gets the nod as 12th man. Incidentally, controversial as it would be, the person who would have miss out were I going the two spinners route is Broad, going for a new-ball combo of Curran and Anderson.
Of the three players who went into the Ashes tour as England players and who do not feature above James Vince may yet redeem himself by producing some huge scores for Hampshire, while Stoneman and Ali are as far as I am concerned firmly in the category of ex-England players.
We now change focus, and I am marking this with some photographs. There will be more after I have presented solutions to the problems I left you to tackle.
All of these problems were taken from brilliant. The first was:
First the answer:
Now here is Marvin Kalngan’s published solution:
SOLUTION 2: CLEAR ICE
Here is the problem:
And the answer:
SOLUTION 3: POLYOMINO
I solved this one the lazy way – I noted that shape B very easily forms a rectangle, and after visualising various assemblages of shape A and noting that none were rectangular I opted for B only given that this is a Basic level problem. Stefan van der Waal published this solution:
SOLUTION 4: CONVERGENCE
Since the sequence involves numbers between 0 and 1 being multiplied together, and such numbers multiply to produce smaller numbers, the series actually converges on 0.
SOLUTION 5: CUBE
I solved this as follows:
1)Because you are specifically allowed to rotate the cube you can see every individual block that appears on the outside… 2)This means that the only blocks that can you cannot see are those wholly inside the cube…
3)…Which since the surface layer is 1 block thick, and occurs twice in each direction amounts to a 4 x 4 x 4 cube… 4)…Therefore 64 blocks are invisible, which means that (216-64) = 152 blocks are visible.
To end this section here is Aaa-Laura Gao Gao’s solution:
Final thoughts on two test series and one major cricketing scandal. Also some photographs.
This post deals with the two test match series that have recently concluded and associated fallout. We start with…
SOUTH AFRICA 3 AUSTRALIA 1
Before getting into my account of the onfield happenings, it is time for an update on…
THE UNHOLY TRINITY
Cricket Australia have hit Steve Smith, Cameron Bancroft and David Warner with substantial playing bans, augmented in the case of Smith and Warner with bans on subsequently occupying leadership positions. The trio have a day left to appeal against these bans, and Smith and Bancroft have already said they will not do so (here and here). To my mind the fact that the other two have already accepted their bans leaves Warner with only two choices: accept the ban as they have, or announce his retirement from all forms of cricket with immediate effect (he is the oldest of the trio, and would probably find relaunching a professional career at the age of 33, as he would be when his ban expires, quite tough). It also leaves the Australian Cricketers Association with a lot of egg on their faces, since they have gone into bat on behalf of the trio, two of whom have now accepted the ban handed out by Cricket Australia.
In the final match of the series in which the scandal referred to above broke South Africa batted first and put up a daunting total of 488, (Markram 152, Bavuma 95 not out) before Australia replied with a modest 221. With a draw sufficient to secure their first home series win over the Aussies since readmission in 1992 South Africa declined to enforce the follow on. In the second South African innings Faf Du Plessis made a fluent century and Dean Elgar a limpetlike 81 in five and a half hours, and they batted until tea on the fourth day to ensure complete safety (there were injury worries about three of their frontline bowlers). Faced with a purely nominal fourth innings target of 612 Australia collapsed to be all out for 119. Vernon Philander emerged with figures of 6-21, while Morne Morkel finished his test career by claiming the final Australian wicket. South Africa’s winning margin of 492 runs was the biggest victory by a runs margin in a time limited test (the three bigger margins that have been recorded, 675 runs by England against Australia in 1928, 562 runs by Australia against England in 1934 and 520 runs by Australia against South Africa in 1911 were all in timeless matches, because all test matches in Australia were played to a finish between 1888 and 1946, and the Oval match in 1934 was settling the fate of the Ashes, and was played to a finish for that reason, as had happened in 1926 and 1930 and would happen again in 1938). More information about this match is available on cricinfo.
ENGLAND IN NEW ZEALAND
This was the second match of a two-match series and England needed to win it to square the series. A century by Jonny Bairstow helped England to a first innings total of 307. New Zealand slumped to 36-5 in response before a big stand between wicketkeeper B J Watling and the man with the coolest name in current international cricket, Colin De Grandhomme revived them. England eventually secured a first innings lead, but at 29 it was much smaller than they would have been anticipating. After Alastair Cook fished at one outside his off stump and was caught Mark Stoneman and James Vince, each batting to save a test career, took centre stage. Vince’s stylish 76 may have been sufficient to preserve his place or at least to give him a way back if he scores some big runs for Hampshire during the English season. Stoneman however (he is also a few years older than Vince, hence less time for potential comebacks) would appear to be finished as a test match batsman. His 60 was his fifth score of 50 or more in tests but also his highest, and he was nearly out a number times between reaching 50 and finally contriving to surrender his wicket for 60.
STONEMAN’S UNWANTED PLACE
IN THE RECORD BOOKS
Those noting that 60 would seem both to be a moderate career best for an opener and a moderate career best for someone with five scores of 50 or more give yourselves a bonus point. Mark Stoneman in point of fact now holds the record for the lowest career best for a batsman with five or more test fifties, the previous lowest in that category being 64 jointly held by:
Brett Lee, who was picked for his fast bowling, and was not particularly expected to score many runs.
Billy Bates, an all-rounder whose off-spin was more than capable of settling matches on its own, and who played in the 1880s when scoring was generally a lot lower due to the nature of the pitches. He was the first England bowler to take a test match hat trick (second ever, after Frederick Robert Spofforth), in a remarkable match performance which saw him take seven wickets in each Aussie innings, after scoring 55 in England’s 294 (a score which proved sufficient to win the match by an innings).
Root scored his seventh fifty plus test score this English winter, and for the seventh time this English winter failed to make it to the century mark. New Zealand were left 380 to chase to win the game.
Although there were moments when England looked like they could win the match, and New Zealand were never in serious contention, it must also be acknowledged that most of the wickets that fell in this final innings were given by the batsmen rather than being taken by the bowlers. Additionally several chances went begging (Stoneman further blotting his already soiled copybook by shelling two). Finally, taking the Auckland horror show into account, the overall series result is well justified – a drawn series would have seriously flattered England. Full detail on this match is available from cricinfo.
ENGLAND PLAYER BY PLAYER
A new home season is often a time for new blood (ideally if I was giving someone their test chance I would want to see them at that level for at least one home season and one overseas tour before assessing whether to persevere with them), so what of the players who played for England in this match?
Alastair Cook – he is finding it very difficult to get an innings going these days, but on the occasions when he manages it he scores seriously big. Also, he has done enough over the years to be allowed to leave the scene on his own terms.
Mark Stoneman – not good enough at this level. Five fifty plus scores but a highest of 60 points to serious temperament issues. I hope not to see him lining up against Pakistan at Lord’s.
James Vince – too many beautiful miniatures like his first innings 18 and as yet no full-sized masterpiece, though his 76 in the second innings, like his 83 at Brisbane suggests that he may yet come good at the highest level.
Joe Root – his failures to convert fifties to centuries of late are beginning to be a worry, but he has proved in the past that he can go on to really big scores.
Dawid Malan – has done enough to be retained. Given Root’s dislike of the position and Vince’s less than iron grip on his place in the side he may have to take on the njumber 3 slot.
Ben Stokes – has batted well this series but done very little bowling. His future is uncertain due to the pending court case against him.
Jonny Bairstow – has batted magnificently on both legs of the tour, and his keeping has been pretty well flawless. Another possibility for that no3 slot would be selecting another wicketkeeper and having Bairstow (who is good against the quick stuff) play as a specialist batsman in the no3 position.
Stuart Broad – bowled well in both innings of this match, and barring injury will continue to feature in the test team until he calls time on himself.
Mark Wood – his presence gives the seam element of England’s attack variation through his extra pace. Both he and Broad spent too much of this match testing out the centre portion of an unresponsive pitch.
Jack Leach – finally England select a genuine spinner, rather than a batsman who can roll an arm over. He bowled well in this match, though this was not a great pitch for him, and more should be seen of him.
James Anderson – he remains as good as ever. In this match he set a new record for the most overs delivered by a pace bowler in the course of a test career, going past Courtney Walsh. At times over the course of this English winter he has been not merely England’s spearhead, but most of the spear as well.
The likelihood is that Broad and Anderson will continue until 2019 so that they can take their final bows in a home Ashes series. Cook may also be thinking in those terms, and while no one would grudge him such a finish, a few more runs between now and then would be good. In the immediate term however England definitely need to find from somewhere the following.
A new opening batsman to replace Stoneman
Either a new wicketkeeper to take the gloves from Bairstow and enable him to play as a specialist no 3 or a new batsman to play at no 3 (or promote Malan and have the newbie at no 5). Dan Lawrence is an obvious candidate for a batting spot, and the early weeks of this season would be one heckuva time for some young batsmen to score heavily for their counties.
Bowling back-up for Anderson and Broad (Wood is good, but injury-prone, and none of the other pace options England have tried this winter have been remotely impressive).
A second genuine spinner or spin bowling all-rounder to back up Jack Leach (Moeen Ali’s form and confidence both appear to be thoroughly shattered).
England also need to learn a lesson they should have learned decades ago: taking a phalanx of guys who bowl right-arm just above medium pace overseas does not work – such bowlers are only dangerous if the ball moves in the air for them.
Finally, for those of you whobhave made it to the end of this post, some of my photographs: