A Couple of Puzzles and Some Butterflies

A couple of easy problems on brilliant.org that have generated considerable controversy, and some butterfly pics of my own.

INTRODUCTION

A couple of this weeks puzzles on brilliant.org have generated considerable controversy, so I am going to share them with you as a prelude to the butterfly pics. Both puzzles are actually very simple, and I will provide solutions and explanations some time on Friday.

PUZZLE 1: DR FRANKENINE

Here is a screenshot of the first puzzle:

Dr Frankenine

PUZZLE TWO: FUEL TANK

Here it is:

Fuel Tank

BUTTERFLIES

These are from Saturday and Monday. In addition the ones I have photographs of I have seen one other species, mainly white but with flame coloured wingtips but not yet been able to photograph it.

Small Tortoiseshell IIISmall Tortoiseshell IIWhite butterflySmall Tortoiseshellgreen and white butterflyveined white butterfly

The First Ducklings of 2018

Pictures of ducklings exploring the Gaywood River.

INTRODUCTION

I saw two broods of ducklings while on my way to a Musical Keys session on Saturday. 

THE PICTURES

I was delighted to see the ducklings, particularly in that location, on the Gaywood River, where they are far enough from the Great Ouse that they should not fall victim to large and aggressive gulls (yes, gulls do target ducklings).

Duck family outingDucklingspale ducklingducklingduck and ducklingFemale mallard with ducklingssix ducklings

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.

 

Cricket Season Underway

Celebrating the start of a new cricket season.

INTRODUCTION

The first round of County Championship matches in season 2018 is drawing to a conclusion. Where there has been action (Yorkshire’s failure to get their ground into playable condition caused their game against Essex to be abandoned without a ball being bowled). I also have some photos to share, and will provide answers to the last problems I posed.

RAIN, WICKETS AND THE ODD RUN

A lot of drawn games have resulted due to poor weather before and during the matches. However, those matches which have had definite results have been absolute crackers. Only one game remains in progress – Sussex against Warwickshire, with the former’s David Wiese having scored the only century of this first round of fixtures (and off a mere 94 balls, helped along by 14 fours and three sixes). Sussex are building are useful lead, but it will take something spectacular in what is left of the match for anything other than a draw to eventuate. Gloucestershire beat Kent in a very low scoring affair (the largest team total in any of the four innings was only just over 150). Middlesex also won their match in short order, completing the job early on yesterday. Two other matches had definite results:

HAMPSHIRE V WORCESTERSHIRE

Worcestershire generally have a lot of away games scheduled for early in the season to give the New Road ground an apportunity to recover from its winter inundation (it is very close to the river Severn, so this is pretty much an annual event), and this year is no exception. Their match against Hampshire at Southampton (I refuse on principle to refer directly to grounds that are named after a sponsor) saw many twists and turns, but Hampshire were pretty well always ahead of the game. James Vince’s spirited 75 on the opening day was a fine effort, but yet again he failed to turn a good start into a really significant score. All-rounder Gareth Berg matched Vince’s score. Worcestershire fought back from a dreadful start in their own first innings to top the 200 mark, but they still conceded a deficit of 79, and Hampshire then scored 244 in their second innings to leave Worcestershire needing 324 to win. Worcetserhsire were so far short of threatening this target that it took a defiant last wicket partnership to get the final margin below 200 runs. 

LANCASHIRE V NOTTINGHAMSHIRE

Lancashire were all out for 158 in their first innings, Nottinghamshire responded with 222, and overnight Lancashire were 58-2. Harry Gurney and Jake Ball (Left-arm Fast and right-arm Fast Medium respectively) bowled magnificently this morning, and Lancashire’s last eight wickets scraped together a measly 15, which meant Nottinghamshire needed just 10 to win. Nottinghamshire themselves managed to lose four wickets while chasing down this target, making the score for the day 25-12. 

PHOTOGRAPHS

These are all from this morning:

MagpieTwo cormorants ITwo Cormorants IICormorantsBlackbird

Bee
My first bee picture of 2018

Bee IIBee - close upSlugPollinator IPollinator IISmall TortoiseshellSmall Tortoiseshell - close up

SOLUTIONS

I posed these problems on Friday, in a post titled “Solutions (And New Problems)

  1. Deck of Cards:
    Card problem

This is a multi-choice question, the possible answers being:

a) Less than 50%
b) More than 50%
c) Exactly 50%
This problem generated a huge amount of controversy among solvers on brilliant (many of those who opted for exactly 50% being unable to accept that they were wrong and arguing over it). The answer is “less than 50%” – whatever colour the top card in the pack is there remain 51 cards of which 25 are the same colour as the top card and 26 are the other colour. Hence the probability of the bottom card being the same colour is the top card is 25/51, which is just less than 50%. The more cards the deck contains the closer to 50% the probability gets, but it never reaches 50%.

2. Groyne

Groyne Q

This one caused such confusion to solvers om brilliant that over half of them got it wrong. The answer is A, since the groyne acts as a block against waves approaching it from the right as you look at it, and therefore the reduced speed of those waves causes sediment to deposited on that side of the groyne. 

Musical Keys On a Spring Saturday

A brief account of my session at Musical Keys yesterday.

INTRODUCTION

Yesterday was a Musical Keys session, and Oliver who runs Musical Keys put in an appearance. Also, some of our stuff was recorded – we will hear it in a fortnight’s time.

THE JOURNEY TO THE SCOUT HUT

Immediatedly after a light lunch of salami and salad I set off on my journey (I was starting early because I needed to check in on my aunt’s house en route and also intended to take advantage of heading towards that part of the world to visit Gaywood Library). After the few minutes it took to make sure all was OK at my aunt’s house I headed for the parkland and thence the footpath between the two academies, before a diversion to Gaywood Library and a walk along the bank of the Gaywood River to finish. Here are some pictures covering the period between leaving my flat and exiting the parkland at Tennyson Road:

Saturday Market Place
A welcome return of market stalls to the Saturday Market Place.
Hampton Court Cannon Ball
This cannon ball hangs in the entrance to Hampton Court (near my aunt’s house)
Red Mount Chapel
The Red Mount Chapel
Guanock Gate
The Guanock Gate
Black headed gull
A black headed gull in The Walks.

Not fit for play!

The cricket season is underway in most parts of the country, but Yorkshire and Essex have had no play on any of the first three days of their match due to a sodden outfield. Norfolk has not been battered as much as the north, but this picture from The Walks shows the problem – saturated soil means that there is nowhere for water to go.

The second part of the walk to the Scout Hut provided a few photos as well:

Purple FlowersPurple FlowerYellow flowerDaffodils, Gaywood RiverLittle Blue Flowers

Blue tit
For more on the bird on this picture please visit my previous post.

BlackbirdThe above picture was the Featured Image in my post Blue Tit and Butterfly

AT THE SCOUT HUT

Once it was time for the session to begin I did not take long to decide what I was going to do…

Yamaha music system
This Yamaha music system is not quite the equal of the Korg that I jhave used on previous occasions at Musical Keys, but it is still a very fine gadget.

InstrumentchordFACE4 chordQuintCAFE

After I had been recorded I spent what was left of the session creating musical words (e.g playing the notes F, A, C and E for face or, C, A, F and E for cafe). For the bit was a recording I used a double pattern – each four note chord I used comprised two pairs of notes separated by two, and with an octave between each pair.

HOMEWARD BOUND

The entirety of my homeward journey took place not only in daylight but under a bright sun (yes, we sometimes forget about it, especially during long winters like the one we are just emerging from, but even here in Blighty we do get to see the sun). I only added one solitary picture to my collection during this journey – a pair of drakes swimming in formation in the Gaywood River…

drakes

Blue Tit and Butterfly

A blue tit and a butterfly from yesterday.

INTRODUCTION

Yesterday was a Musical Keys day, and on the way there I got a few photographs which I think warrant a post of their own, before I move on to the main meat of today’s blogging.

THE BLUE TIT

This was a picture I took more in hope than expectation, since small birds nearly always fly out fo shot before the camera has picked them up, but on this occasion fortune smiled…

Blue tit
blue tit in tree branches, on the path than runs betwee the King Edward the Seventh Academy and The King’s Lynn Academy.
Blue Tit - close up
The blue tit, extracted from the foregoing picture.

Blue tit - bird book

THE BUTTERFLY

As I approached the Scout Hut where Musical Keys sessions take place, walking along the bank of the Gaywood River I spotted a Small Tortoiseshell Butterfly. I investigated further and finished with six splendid pictures.

Tortoiseshell ButterflyTortoiseshell Butterfly IITortoiseshell Butterfly IIITortoiseshell Butterfly IVTortoiseshell Butterfly VTortoiseshell Butterfly VI

Come On Aldi, Show Some Tree-spect

A petition, a Thunderclap, a message to Aldi, some photographs, and a couple of little snippets.

INTRODUCTION

Although there will be a couple of minor items tacked on that the end, this post is mainly devoted to a thunderclap and a petition, both regarding an area of woodland that adjoins a Nature Reserve and is under threat from plans by supermarket chain Aldi. 

SAVE QUESLETT TREES

There are two parts to this, starting with…

A THUNDERCLAP

To participate in the Thunderclap you need to be on facebook and/or twitter and/or tumblr. Below is a screenshot formatted as a link:

ATC

Linked to the Thunderclap is a petition, a screenshot of which appears below, again formatted as a link.

QTP

The main business of this post ends with…

A MESSAGE TO ALDI (AND PLANNING AUTHORITIES)

I feel very strongly that Aldi should accept the initial negative decision, especially given how many supermarkets (including two other Aldis) are located close to this area already. I am a fairly regular customer of Aldi stores in my own part of the world, but that may not remain the case if Aldi do not reconsider their stance over this. I conclude with some advice for all involved in this decision to consider, tendered in the form of a picture created by Anna from a comment I posted on her blog:

Nature Meme.jpg

PHOTOGRAPHS

Here are some of my recent photographs, before I finish off with a couple of minor items. 

Black backed gullsBird gatheringBird gathering IIelusive squirrelBird gathering IIISquirrelSmall waderBirds in treeBirds on a wallbird laden treeCormorant MDCLXVICormorant MDCLXVIISea BirdsWest Lynn ChurchCormorant and gullsRedshankThree gull specieslesser black backed gullsBlack headed gullHerring gullSmall bird in valley

A COUPLE OF NUGGETS

The last few days have seen two numbers come up for me:

  • 300 – the number of successive days on which I have solved at least one of brilliant’s problems – here is one of them for you:
    triprob
  • 900 – my Lumosity Performance Index has just exceeded this value (after this morning’s workout it now stands at 917. Below, concluding this post is first the breakdown of my LPI, and second a little puzzle for you:
    LPI

    Ebbinghaus
    Solutions will be in a future post.