Cricket, Photographs and Puzzles

Some thoughts about the early stages of the English Cricket Season, some photographs and some puzzles.

INTRODUCTION

The second round of County Championship matches in season 2018 are now on their second day. Additionally the fact that here in England we seem to have skipped spring, going dorectly from a long, unpleasant winter into summer means I have a particularly fine selection of photographs for you, and there will be puzzles. 

THE COUNTY CHAMPIONSHIP

Scoring is low everywhere. At Chester-le-Street it is looking a first innings tally of 169 will be sufficient for Kent to record an innings victory (Durham, shot out for 91 yesterday morning are 39-7 in their second innings, needing their last three wickets to double that paltry tally just to avoid the innings defeat). Essex and Lancashire are already into their third innings as well, Essex having scraped together 150 first up and Lancashire replying with 144. Essex are 39-0 in their second innings. Somerset, having actually claimed a batting bonus point by reaching 202 are poised for a handy first innings lead, Worcestershire being 153-8 in response. Surrey also topped 200 – making 211, and Hampshire are 79-6 in response. Yorkshire made 256 in their first innings, and Nottinghamshire are 110-6 in response. Derbyshire made 265, and Middlesex have also reached three figures, being 101-5 in response. Gloucestershire are 47-0 in response to Glamorgan’s 236. Northamptonshire were all out for 147 and Warwickshire are about to overhaul them, with wickets in hand. Finally, Sussex batting first are a comparatively monumental 304-7 (three batting bonus points, although they will not get a fourth as they have had 108.3 overs, and bonus points are only awarded in the first 110 overs of a team’s first innngs) against Leicestershire.

Every match is in progress, which beats last week, when Yorkshire failed to produce a playing surface on which the game could be played, resulting in their match against Essex being abandoned without a ball being bowled. 

The low scoring is a major problem – the batters will gave little confidence since they are not making runs, and as soon as they face conditions in which the ball does not get up to mischief most of the wicket-taking bowlers will revert to being their workaday selves (we saw, unforgettably for all the wrong reasons, over the winter how seamers who bowl accurately but not especially fast are cannon fodder for international class batsmen on good pitches). 

From the point of view of England possibles these two rounds of championship matches have been largely valueless – the 75 from James Vince on the opening day was the usual Vince fare – excellent while it lasted, but did not last long enough to be satisfactory and given the conditions no bowling figures can be taken with anything other than a substantial helping of salt.

PHOTOGRAPHS 1: AN ASPI.BLOG FIRST

The Muscovy ducks first saw a few months back are still in residence, and they have been joined by an unusual visitor, the second largest bird species I have seen in King’s Lynn – Canada Geese.

Muscovy ducks and Canada Geese
The white patch at the top front of the otherwise pure black neck (the head and bill are also pure black) is, along with the colossal size, the key identifier of these birds as Canada Geese.

Canada Goose and Muscovy ducksCGICGIICGIII

PUZZLE 1: MATCHSTICKS

My first offering from brilliant (the source of all of today’s puzzles – note also that all can be solved without even using pen and paper, never mind mechanical assistance – I did) is an exercise in visualization:

matchsticks

PHOTOGRAPHS 2: MUNTJAC

This muntjac was nibbling the grass on the playing field of the Lynn Academy, and I was taking pictures through a screen of plants:

Muntjac IMuntjac IIMuntjac IIIMuntjac IV

PUZZLE 2: CLEAR ICE

Clear Ice

PHOTOGRAPHS 3: SQUIRREL

I got two shots of this squirrel, one om the ground, and one as it swarmed up a tree trunk:

Squirrelsquirrel swarming up tree

PUZZLE 3: POLYOMINO

Another exercise in visualization (my own success with this one enabled me to celebrate what I call my brilliant.org Pi Day – 314 successive days on which I had solved at least one of their problems!):

Polyomino

PHOTOGRAPHS 4: SMALLER BIRDS

BlackbirdMoorhen on branchMagpieperching blackbird

PUZZLE 4: CONVERGENCE

Convergence

PHOTOGRAPHS 5: BUTTERFLIES

Small Tortoiseshell XIITwo Small TortoiseshellsTwo Small Tortoiseshells IISmall Tortoiseshell XIIITwo butterfliesSmall Tortoiseshell XIVPeacock Butterfly with closed wings

PUZZLE 5: CUBE

My own method for solving this one once again involved visualization, although other methods were also used.

Cube

In view of some of the moans that appeared on brilliant in relation to this problem please note the crucial words “by rotating” in the question – they are absolutely key.

PHOTOGRAPHS 6: THE REST

PollinatorSmall birdShy guinea pig

AFTERWORD

While I have been completing this post Durham have succeeded in making Kent bat again, though it is still massive odds against that game even making it onto the third of the scheduled four days.

 

National Park Cities Thunderclap

Introducing the concept of National Park Cities, publicising a thunderclap about the same and displaying some of my own photographs.

INTRODUCTION

To take part in a Thunderclap you have to be on at least one of facebook, twitter or tumblr, so for the benefit of those among my readers who cannot take part I am also including some recent photos of my own that tie in well with this particular thunderclap. 

NATIONAL PARK CITIES

The idea behind this thunderclap, set up the folks at team4nature is that there are recognized health benefits to people having easy access to nature. Among the potential pioneers of the concept of a National Park City is London, and you can declare your support here. To take part in the thunderclap click here, or on the image below, which shows the story in full:

NPCTC

PHOTOGRAPHS

Here are some of my recent nature pictures, which also feature the two main parks in King’s Lynn, The Walks and Lynnsport Park and sections of Bawsey Drain and The Gaywood River.

GullsMerula IWalks IWalks IIWalks IIIWalks IVWalks VMerula IIMerula IIIMagpieGulls IIbirdsSmall birds ISmall birds IISmall birds IIISmall birds IVMerula IVbrown patchesOmniaOmnia IIgrey specklesdark muscovydark muscovy IItwo foron the bridgedark muscovy IIIGreymuscovies and mallardseightPanoramaParting shot

MCG, Photographs and Solutions

Some thoughts on the recent test match at the Melbourne Cricket Ground, solutions to my lest set of puzzles and some photographs.

INTRODUCTION

This is a two part post – first of all a bit about the test match that finally ended in a draw at about 6AM UK time, and then the companion to piece to “Puzzles and Pictures“, answering the puzzles posed there. 

5-0 AVERTED

England had the better of Australia in the fourth test match of this Ashes series, but neither team stood a chance against the real winner of this drab affair – the MCG pitch which offered no assistance to any kind of bowler and was also so slow that batsmen could not play their strokes. Alastair Cook ended his poor run of form emphatically, with an innings demonstrating once again his astonishing powers of concentration. Australia without Mitchell Starc and on a pitch that was utterly lifeless looked an ordinary bowling unit.

At lunch on day 1 Australia were 102-0 with Warner going well and Bancroft surviving, but that was the only session of the game that Australia unequivocally won. Although wickets were in short supply on that opening day Australia reached the close at 244-3 – a definite failure to build on that fast start. The second day belonged to England – Australia were all out 327, losing their last five wickets for 13 runs and England in response reached 192-2, Cook 104 not out, Root 49 not out. The third day was also England’s – 491-9 at the end of it, with Cook 244 not out. On the fourth day rain intervened. Anderson lost his wicket to the first ball of the day, giving Alastair Cook yet another place in the record books – highest score by anyone carrying their bat through a complete test innngs, beating Glenn Turner’s 223 not out v West Indies. Bancroft and Khawaja were both out fairly cheaply, but when the rain finally halted proceedings for the day Australia were 103-2 with Warner and Smith in occupation. On the final day Warner fell 14 short of his second hundred of the game. Smith did reach his own hundred, after seven and a quarter hours, and then declared which officially ended the game as there was no time left for England to chase to 100 they would have needed to win. 

The Melbourne Cricket Ground has a huge seating capacity, and the Boxing Day test is for that reason the best attended of all test matches. In particular, the Boxing Day Ashes test is habitually hugely attended. Because of the failure to produce a proper pitch the biggest crowds test cricket ever sees got a game that was not worthy of the occasion, and that is not acceptable. The MCG need to sort this out – on proper pitches test cricket can be the most fascinating of the three forms of the game, but on lifeless rubbish such as the MCG groundsman produced for this match it is a poor spectacle. The ICC (cricket’s global governing body) should come down on the MCG like the proverbial ton of bricks.

Alastair Cook’s epic innings deservedly gained him the player of the match award. A full scorecard and links to further detail about this match can be found on cricinfo. The final match of this series is in Sydney, starting on January 4th, and I sincerely hope that they produce a better pitch (they cannot produce a worse one – such a thing does not exist).

PHOTOGRAPHIC INTERLUDE

As we switch focus the the puzzles I presented a couple of days ago, here are some bird pictures from yesterday:

RookLapwing Ilapwing and waderFlying gullsMH1MH2MH3white duckblackbirdsMH4

PUZZLE 1: LOGIC

jester

As I said when I set it, this one is very straightforward. The key is that person B has said “I am the Knave”. The Knight cannot say this as it would be a lie, and the Knave cannot say it as it would be true, so the only person who can say “I am the Knave” is the Jester. Therefore the Jester is person B (note that both Knight and Knave can say “I am not the Knave”, so we cannot say which of A and C is which).

PHOTOGRAPHS – THE GREAT OUSE

Great OuseGreat Ouse 2

PUZZLE 2: AREA CHALLENGE

area test

The red sgements in the four corners of the shape are each half the size of the red segments along the sides of the shape, which in turn are each half the size of the blue shapes in the middle of the pattern. Thus counting the smallest segments as 1 there are (4 x 1) + (8 x 2) red segments = 20 red segments. Each blue shape in the middle comprises four segments and the are four of them = 16 blue segments. Thus the ratio of red area to blue is 20:16 = 5:4

PHOTOGRAPHS: THE WALKS

The Walks was still flooded yesterday, although less than it had been when I took my last set of pictures there two days previously.

TW1TW2TW3TW4TW5TW6TW7TW8TW9TW10TW11

PUZZLE 3: EVEN AND ODD

Odd and Even

Instinct suggests that the answer should be no, but this is one of those occasions when one should mistrust one’s instinct. To demonstrate a solution (one of many along these lines), I choose as my three even numbers 6, 8 and 4 in that order. Six divided by eight is 0.75, and 0.75 x 4 = 3 = an odd number.

PHOTOGRAPHS: MUSCOVY DUCKS 1

The Muscovy duck that I had seen in The Walks recently was not there yesterday, so I finished my walk by heading towards the place where I had first seen the species. I waqs rewarded when just on across Littleport Street from that location I saw the entire flock. Here are some of the pictures.

white muscovygrey patched muscovyBlack and white muscovyFive muscoviesFive muscovies IIthree muscoviesdark muscovyblack and borwn bodied muscoviesblack muscovyfour muscoviesblakc muscovy IIMuscovies and gullsthree dark muscovieslight muscovieslight muscovybrown muscovybrown muscovy IIMuscovy and mallardsmottled muscovymainly white muscovyside by side

PUZZLE 4: DIVISIBILITY

divisability

And here is my own solution posted on brilliant:

Thomas Sutcliffe 
Dec 26, 2017
 Upvote0

We have to use the numbers 1,2,3,4 and 5 to make a five digit number. The first requirement is that the first three digits form a number dvisible by four, which can only be achieved from these numbers by using 124 (= 31 x 4), then digits 2,3 and 4 must form a number divisible by five, so the fourth digit has to be 5 as numbers divisible by five end either in five ior zero and zero is not available to us. That leaves us the fifth digit to fill, and the only number we have not used is 3, hence the number is 12,453, and back checking using the last limitation, that the final three digits be divisible by three confirms this (453 = 151 x 3).

PHOTOGRAPHS – OTHERS

These were taken near the end of my walk:

Corn ExchangeMoon IMoon IIMoon III

PUZZLE 5: INVESTMENT EXPERT

Investment

The minimum starting amount he needs to ensure that it stays growing on these terms is $4. On my subsidiary question, although this starting point only yields a fortune of two billion and four dollars after one billiSuch is the power of exponential growth that if you increase this starting amount by even a small amount it will suffice. According to Denis Husudvac on brillaint even a stgarting point $4.01 will be enough.

PHOTOGRAPHS: MUSCOVY DUCKS 2

dark muscovy IIdark muscovy IIImottled muscovy IIGrey muscovyGrey muscovy IIImuscovy and mallard drakemuscovies and mallardsMottled muscovy IVMuscovy Headfour muscovies IIbrown muscovy IIImottled muscovy Vblack muscovy IIImuscovy head IItwo muscoviesbrown muscovy Vtwo brown muscoviesblack muscovy IVIn convoymuscovy ducklight muscovy II

 

Puzzles and Pictures

A Boxing Day post composed of pictures and puzzles – enjoy!

INTRODUCTION

I have five puzzles to share (all via the mathematical website Brilliant – I am approaching a double century, my current solving streak now extending to 199 days) and photos that I have categorized in four groups. Therefore I will be interleaving puzzles and pictures.

PUZZLE 1: LOGIC

This is an easy one – Lestrade would probably solve it without amateur assistance!

jester

PHOTOGRAPHS 1 – CAIRINA MOSCHATA

In preparation for the Christmas Day festivities I went for a walk yesterday morning, and many of the photos you will see were taken during that walk – others were taken at other times of the day. I first came across these birds when they were in a group near Kettlewell Laneand since then I have seen a single specimen, in The Walks, on three separate occasions, most recently yesterday:

Mallard drake and Muscovy duckCairina moschataCm2Mjuscovy Duck and two mallard drakesCm3Cm and mallard drakesCm and mallard drakes 2Cm and mallard drakeCm and mallard drakes 3

PUZZLES 2: AN AREA CHALLENGE

This one should not be too difficult either:

area test

PHOTOGRAPHS 2: BUILDINGS

When everything is closed the opportunity is there to get unimpeded pictures of buildings that are usually busy.

Town Hall and Old Gaol HouseSt NicksLibraryLibrary frontGreyfriars tower

PUZZLE 3: EVEN AND ODD

This is one is tricky rather than difficult per se – and only 37% of solvers on Brilliant managed to crack it:

Odd and Even

PHOTOGRAPHS 3: LOCAL HISTORY

Recent renovations in the building that my aunt’s house is part of have revealed some very interesting little details, and I also got some interesting shots from the house of the person with whom we had Christmas lunch.

HCIV
The first 13 pictures are from Hampton Court (no superstitions and no truck with triskaidekaphobia here!)

HCVIHCIHCIIHCIIIHCVHCVIIHCVIIIHCIXHCXHCXIHCXIIHCXIII

beams 1
Two shots of the wooden beams at the house where we had Christmas lunch

Beams 2

Paintings
An artwork display at that same house that caught my eye…
train pic
…one picture in particular!

PUZZLE 4: A DIVISABILITY TEST

Not at all difficult, but very enjoyable to tackle:

divisability

PHOTOGRAPHS 4: WILDLIFE

We finish our photographs as we started, with a nod to nature:

MoorhenGull on crossMagpie 1Magpie 2Magpie 3Squirrel and birdSquirrel and bird 2Gathering of gullsFlying gullsFlying gulls 2GullsGulls and squirrelGullSquirrel 1Squirrel 2Squirrel 3blackbirdsblackbirds 3Blackbird

PUZZLE 5: THE INVESTMENT EXPERT

We end with a fairly tough problem to which I have added an even tougher subsidiary question.

Investment

My follow up, adapted from a question raised by someone named Anne on Brilliant is this: What is the minimum initial deposit required to ensure that Fred’s money grows at a sufficient rate for him to become a trillionaire if he lives for as long as Earth remains an inhabitable planet (the increasing size and temperature of the sun will cause this in 1 billion years, assuming that some stupid species has not already done so,

Computer Aided Composing

An account of my recent doings at Musical Keys with a photographic interlude.

INTRODUCTION

A few sessions back at Musical Keys, an event run for autistic people that I am a regular attender of, I switched from using Scratch to using a different package called Reaper. This Saturday just gone I reached a point at which I feel that my work on Reaper is now worth talking about. Also I have some good pictures that I can slip in as part of the back story.

SCRATCH AND REAPER

Scratch enables one to play notes on various musical instruments and also has some saved sound loops for variation. Effectively therefore Scratch enables one to play music and sounds but not really to create anything beyond the framework within which to do so. Reaper is both less and more – less in that it has no versions of musical instruments, more in that is really all about combining different recorded sounds into a larger whole, and therefore has much more of a creative element to it. 

BEFORE SATURDAY’S SESSION

I had spent one session assessing the available sound segments, working out which ones I liked and which of those combined well together, and a second session combining shorter segments into longer ones by putting together segments that would or could naturally flow together, but at the start of Saturday what I actually had was a set of useful components that I could start to think about assembling into proper length pieces…

INTERLUDE –  WALK TO THE SCOUT HUT

I had decided to lengthen my walk to the venue by taking in a stretch of the Great Ouse before rejoining the regular walking route to Gaywood by way of Seven Sisters and the Vancouver Garden, and a quick sampling of the air outside my flat convinced me of the need to don an extra jumper – it was cold, as some of the photos will make very plain. I had also allowed myself time for a visit to Gaywood library, since I would naturally pass very close to it. It may have been cold, but the birds were out in force, especially near the Great Ouse.

lapwings and a gulllapwings and gullsFlying lapwingswimming birdBlackbirdsBlackbird

Leaving the river by way of Hardings Pits I headed for the South Gate and thence Seven Sisters and the parkland areas…

framed magpieKL signSouthgatestarlingsthree birds

Among other things the walk through the parkland provided me with absolute proof of how cold it was – gulls walking on water. 

Gull walking on waterGull walking on water 2Gull walking on water 3rooksBlackbird II

DECEMBER 9TH AT MUSICAL KEYS

John, who usually supervises the sessions was not feeling well, so having driven the equipment over he spent the afternoon sat in his car, while his assistant Kirsten took charge of the sessions. 

Once I had opened up Reaper, checked and adjusted the speaker volume (at least 99% of the time it is set too loud for me and I have to reduce it, often considerably – on this occasion it had been set to 70% of full volume and I reduced that to 35%) it was time to put my plan of exploring options for combining various elements to make a larger whole into practice. Before moving on here is a photo I took at the end of the session.

Reaper

The piece that I called Organ and Strings was one of three background sounds that I used in the bigger pieces, the others being the drum and brass backgrounds. “Ensemble” and “Composite” as those names suggest were medium sized components, while “Horizontal” and “All in” were the two large scale components that I combined to make the final full size pieces. The two big pieces (12 and 16 minutes long respectively) were comprised of “Horizontal”-“All-in”‘-“Horizontal” and “Horizontal”-“All-in”-“Horizontal”-“All-in” respectively. By the time I had listened to the 16 minute piece at the end it was pretty much the end of the session. The next session is on January 6th and I shall work out some way to build on what I have already created. 

 

Answers

Answers to a query of mine and to a puzzle that I set, accompanied by some photos.

INTRODUCTION

This little post features answers to two problems and at the end a few photos.

BIG AVIAN FIND

A couple of hours ago I put up a post featuring some large water birds that were new to me. Since then two people in the comments section (Cindy and Vicki) have suggested Muscovy Ducks as a possibility, and my twitter friends @team4nature have made a similar though more detailed suggestion.

This level of consensus is sufficient for me – these are Muscovy ducks, possibly domesticated and possibly crossed with some other breed (possibilities raised by @team4nature). Here to conclude this section is the feature image from the previous post:

Swimming Bird II

SUPERPRIME RESOLVED

I offered up this problem from brilliant last night:

SP

This is my own solution, posted as such on brilliant, and reflecting mu frustration at the sheer number of people commenting based on failure to fully read the terms of the question:

SPS

PHOTOGRAPHS

To finish here are some more of my photos:

Gull on flagpoleaerial action!starlingsBlackbirdMIaowGull on logMoorhenMoorhen 2

A Meme, A Puzzle and Some Bird Pictures

A meme about Evolution and Creationism, courtesy of @AtheistRepublic, a puzzle courtesy of Brilliant and some bird pictures of my own.

INTRODUCTION

Just a brief post to keep me on your radar!

EVOLUTION IN A MEME

This was posted on twitter by AtheistRepublic, and I think it is very good indeed:

Evolution

A PRIME PROBLEM FROM BRILLIANT

This little problem generated a surprising amount of controversy on brilliant – though it is not particularly difficult, and there were no real grounds for controversy:

SP

I will reveal the solution tomorrow.

BIRD PICTURES FROM KINGS LYNN

We had a bit of sun in King’s Lynn today, but in consequence of it being December it was already virtually level with the horizon by 3PM. However, it being as pleasant as a December day in Blighty can be I did get out a couple of times, and augmented my stock of bird pictures along the way:

Blackbird IIBlackbird IIIBlackbird IVBlackbird VMoorhen triangleMoorhenFemale BlackbirdFlying gullGull and westering sunRookGullsGulls IIFlying gull IIbirdsFlying birdFlying cormorantGulls and flying cormorantSmall birdGulls and cormorantCormorant with guard of gullsGathering of birdsCormorant