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

 

 

Links, Puzzles, Pictures

Links, puzzles and pictures. Public transport features, as does some general politics, and mathematics. The pictures are of course my own.

INTRODUCTION

I have many links to share with you, and wilkl be setting a puzzle. I will be putting up another of my tree posts immediately after this one, so my pictures feature stuff other than trees.

PUBLIC TRANSPORT

This section comes in two parts, starting with…

NEWS FROM MY LONDON TRANSPORT WEBSITE

Just before lunchtime today I received the following email:

Dear Thomas.

I am writing regarding http://www.londontu.be 

My name is Andrew and I work for Nicola at Tour London. Nicola is a tour guide in London UK who takes individuals and groups to the most famous landmarks in London, as well as discovering hidden gems along the way! We were wondering if it were possible for us to appear on your “links” page in any way given that we share such a similar topic.

Alternatively would you be interested in content pieces? Nicola has a vast knowledge of London and would love to share it with your audience. 
Finally, If not content, do you have any other advertising opportunities?

I look forward to hearing from you.

Kind Regards,

Andrew | Marketing Executive
Tour London
Tourlondon.org.uk

 

Naturally, I was delighted to receive such a communication, and I have since put in some links, done a special post about this site and ‘pressed’ a couple of their pieces. Please visit londontu.be to read about this in more detail, and then explore tourlondon to see what they have to offer.

WE OWN IT – TRANSPORT

The campaign group weownit have created a resource with the catchy title Privatisation Fails. Below is a screenshot of the homepage for this resource:

pf

Of course, I followed up the bus and train links. Here is a paragraph from Privatisation Fails Buses:

Buses

30 years ago, our bus services were deregulated and privatised. This has been a disaster for our buses. Fares went up and routes that weren’t profitable were cut, meaning you now pay more for less.  In 2017, the Bus Service Users Bill was passed, which included a clause which bans local councils from creating their own public bus companies. 

On this page are the Big Five bus companies that grew out of deregulation and privatisation in the 1980s – together they control 70% of the bus travel industry in the UK. Many of these companies either own, or are owned by, rail companies as well.

Read more about bus services, and how and why we want to bring them into public ownership, here.

Next up comes Privatisation Fails Railways:

Railways

British Rail was broken up and privatised between 1994 and 1997, and since then rail services in the UK have been provided by private companies. There are 16 rail franchises in the UK, where the government gives train companies funding to run services for a certain period. 

Many of the companies that run our trains are European state-owned companies who reinvest millions of pounds a year in dividends from their British operations into their own transport systems. As you’ll see, these companies often own franchises within franchises. You might be surprised to learn who owns your morning commute! We’ve also listed three ‘ROSCOs’ or rolling stock companies, who lease trains to rail companies.

Read more about the privatisation of rail and what we can do about it here.

POLITICAL LINKS

Royal Mail workers have voted by a huge margin to take strike action. The official voting figures are:

Turnout 73.7%
Yes 89%
No 11%

This means that 65.593% of all those eligible to vote cast their vote in favour of strike action. I did this calculation myself, entirely in my head, but here for the record is how to get there…

Calling Turnout T and Yes votes Y and Overall Percent Yes as O we have O = TY/100. Putting the known figures into this we have O = (73.7 x 89)/100. To avoid decimals until absolutely necessary we change this to O = (737 x 89)/1000. To calculate 737 x 89 we can reduce to single figure calculations as follows:

737 x 89 = (700 x 89) + (30 x 89) + (7 x 89), and then splitting these up 700 x 89 = (700 x 80) + (700 x 9), 30 x 89 = (30 x 80) + (30 x 9) and 7 x 89 = (7 x 80) + (7 x 9). We now have a series of multiplications which can all be treated as single figure multiplications, with in some cases zeroes to be stuck on the end. Multiplying them out gives us 56,000 + 6,300 + 2,400 + 270 +560 + 63. Adding these together we get 65,593, and dividing by 1,000 requires a decimal point to go between the first and second five, giving us 65.593%. PS It took a lot longer writing this out than performing the calculations in my head!

I have two links for you about this vote:

A SKWAWKBOX QUADRUPLE BILL

The Skwawkbox, one of the best new media sites around, has had several particularly outstanding pieces recently:

PHOTOS 1 – ANIMALS

From Monday and yesterday:

Swan IV
Mute Swan (first four images) on the section of the Gaywood near Kettlewell lane.

Swan IIISwan IISwan IDucks and drakesMallard drakeMoorhen

Squirrel with Conker
This squirrel was sufficiently occupied by its shiny new conker for me to get this picture.

A TEASER

This puzzle comes courtesy of brilliant:

PNQ

PHOTOS 2: VIEWS

Minster Lumiere
Although all these pictures were taken in varying degrees of darkness none involved the use of the flash, which is an absolute last resort for me.

CH Lumiere VCH Lumiere IVCH Lumiere IIICH Lumiere IICH LumiereCustom House IICustom HouseNar meets Ouse, high tideWL Churchtownscape at dusk

 

 

Puzzles and Solutions

Some solutions and some new problems/ questions. Also details a thank you card for TFL and some photos.

INTRODUCTION

I have solutions/ answers to some problems and a few new problems for you. I was going to be blogging about my activities on Monday, Tuesday and Wednesday but that will have to wait until tomorrow now.

SOLUTIONS 1:
OPENING THE “DOOR OF DEATH”

In my post “Coming Up – A Trip To Cornwall I set this juicy little puzzle:

DoD

Each of the three filled in columns contains one large number and several smaller numbers. In each case the big number is the sum of all the smaller numbers – 6 = 3+2+1, 28 = 14 + 7 + 4 + 2 + 1 and 496 = 248 + 124 + 62 + 31 + 16 +8 + 4 + 2 + 1. In each case the smaller numbers listed below the large number turn out to be all of that number’s factors. A number that is equal to the sum of all its factors is called a perfect number. Looking closer still we that 6 = 3 x 2, 28 = 7 x 4 and 496 = 31 x 16. In each case these multiplications consist of a larger number that can be expressed in the form (2 ^ n)-1 and the smaller number is equal to 2 ^ (n-1). Further, the larger multiplier is in each case a prime number. Investigation reveals that the next prime number of the form (2 ^ n)-1 is 127, and the other multiplier must therefore by 64. Multiplying these two numbers gives 8,128. Thus the final panel will consist of 8128, with vertically below it the numbers 4064, 2032, 1016, 508, 254, 127, 64, 32, 16, 8, 4, 2 and 1. This was a tough puzzle but it would have been downright vicious had I made the door’s mechanism consist of five panels, these four and the fifth for you to work out – for a bonus can you explain why?

I also asked if anyone could identify to the real life door that I had used as the basis for the “Door of Death”. It is one of the doors to King’s Lynn Town Hall and in reality of course it is not remotely deadly (indeed barring dying of boredom during a council meeting there I can think of no risk of death anywhere in that building).

SOLUTIONS 2: GAYWOOD RIVER QUIZ

This one appeared in my post “The Gaywood River”. The answers are below:

Quiz - answers

NEW PROBLEMS

I have three problems for you. The first comes from Trivia Hive. Unfortunately I cannot present it to you in their format without giving away the answer, so instead I present in plain text:

In which country is Europe’s only desert located?

a)Italy
b)Greece
c)Poland
d)Spain

Puzzle number two comes by way of the twitter feed of estate agents Abbot Fox:

Puzzle

Can you reveal the street name?

My third and final problem comes courtesy of the mathematical website brilliant and sends you on a treasure hunt:

TH

A THANK YOU CARD FOR TFL

I was delighted to receive an email from campaigning organisation sumofus inviting me to sign a thank you card to TFL for having given Uber the boot. I have already shared this invitation on facebook and twitter and ‘pressed’ it to my London transport themed website. I now invite my followers here to add their names to this thank you card: 

TYTFL

PHOTOGRAPHS

These photographs were taken in Norwich…

Window

Mural 1
This is on the ‘ceiling’ portion of a covered passage near…
Castle
…the castle
Haart Map
This map is in the office of Haart in Norwich, and I could not resist trying to photograph it from the street.

 

Coming Up – A Trip to Cornwall

Letting people know that I will be visiting Cornwall in the near future, and a few other bits and bobs.

INTRODUCTION

My parents have recently moved to a place near Plymouth, and all they are currently out of the country travelling they will be back for a month or thereabouts from late October. I will be visiting their place in mid-November. I have asked for leave on the 9th and 10th of November so that I can go down on the 8th and come back on the 13th. 

THE JOURNEY

To get from King’s Lynn to Plymouth (nearest station to my parents’ new place) by public transport one needs to to travel from King’s Lynn to London King’s Cross, get a Hammersmith & City line train from King’s Cross to Paddington and then travel from Paddington to Plymouth (I already knew this). The journey takes in the region of six hours (I expected this to be the case but until I investigated did not know for certain). This why I requested leave for the two days concerned because the two days on which one travels are not going to be much use for anything else. 

THE TICKETS

I discovered via www.thetrainline.com that tickets were available for £57. Thus I have made the booking and picked up the tickets.

COLLECTING THE TICKETS

Having made the booking I was assigned a code I could use to collect the tickets:

KL-PLY

I decided that memorising an alphanumeric code of eight characters would be a bit of an ask even for me, so I called in at the library where I could screenshot the email containing the above, paste into paint and edit as appropriate before printing at a cost of 10p. 

Library (1)Librarylibrary

From there it was a short walk through the park to the station to pick up the tickets. 

KL - PLY ticket
Outbound ticket
PLY - KL ticket
The Homebound ticket

 

Receipt
The receipt.

The email giving me the code to collect my tickets also included itineraries for both journeys.

THE BRILLIANT.ORG 100-DAY
SUMMER CHALLENGE

I recently received (by email) my certificate for having attempted all 100 of the problems (almost 50,000 people attempted at least one of these problems, of whom 1,797 attempted the whole lot).

Brilliant certificate

Here for you to peruse if you like are all the problems:
Brilliant’s 100 Days – All 102 Problems

This version features one problem per page:
Brilliant’s 100 Days – One Problem Per Page

Before moving on to the photographs that will conclude this post I offer you…

A PUZZLE OF MY OWN CREATION

Archaeologist and adventurer Idaho Johnson is near to making the biggest find of her life, but to do so she needs to get past the “Door of Death”:

Door of Death

Can you fill in the missing fourth vertical panel of numbers and get Ms Johnson through the “Door of Death”? As a bonus question can you identify the real door that I have used to create the above image?

PHOTOGRAPHS

Purfleet meets OuseS&TBirdsWaves on OuseThe AllaThe Alla signZBBoatZB nameGullGateway

Hairim Scarim
This ‘story stone’ is in Loke Road Rec.

SquirrelSNDAll Saints

 

Heritage Open Day 2017 – Overview

An overview of Heritage Open Day 2017 and the solution to a mathematical problem.

INTRODUCTION

Yesterday was Heritage Open Day in KIng’s Lynn, and as readers of this blog will know I was one of the volunteers helping to run the event. This post is a scene setter, giving an overview and indicating which parts of the day I will be giving individual posts to later on. At the end of this post I will include the answer the puzzle I posed at the end of my previous post

STARTING THE DAY

I was going be stewarding at 27 King Street from 12 until 2, and knowing that I would find that experience a draining one I decided to see a handful of places before 12. The first place I visited was the one I had marked down as “must see”, because it was probably the only time the opportunity would be there do so –

NO 2 HAMPTON COURT

This property being currently vacant and of considerable historic interest it was open, and within was a little local history exhibition as well as the place itself. I will be giving this a dedicated post, so here for the moment is a single picture to whet your appetite:

Ground plans - 1500 and present day

I decided to head for King Street by way of the river front, and between this property and the river front is…

THE SECRET GARDEN

I knew that my aunt would be running things in this garden, so a quick visit seemed in order.

SG1

SG2
When this was first built those arches fronted directly on to the river.

woman in period dressSG4

The main attraction (especially as the cockling boat Baden Powell was absent) down at the river front was, as on previous occasions…

THE IFCA RESEARCH VESSEL

IFCA stands for Inshore Fisheries and Conservation Authority, and their remit is to insure that population levels of sea creatures living within six nautical miles of the shore do not decrease too dramatically. I will be creating a dedicated post about this, so I offer this picture as bait…

 

IFCA map

My plan on leaving this vessel was to…

PAY A PRELIMINARY VISIT TO 27 KING STREET

I deemed it sensible to familiarise myself with the building that I would be stewarding, so that was my next port of call. As I was at the river front I decided to go by way of the Lower Purfleet, where there was sure to be something interesting happening…

Queen Street
The first three pictures were taken on my out from my flat, before we get to stuff from the section between the river and King Street.

Saturday Market PlaceTown HallBPbusFlying gullFerryLower PurfleetYeomanryYeomanry 2HeadgearHelmet plate

THE TUESDAY MARKET PLACE AND ENVIRONS

After my preliminary look around No 27 King Street I had half an hour to spare, so headed in the direction of the Tuesday Market Place. I paid calls at three buildings in that area, Bishop’s Lynn House, St Ann’s House and St Nicholas Chapel before heading back to no 27…

TMP2TMP3TMP4Bishop's Lynn HouseSt Ann's HouseSAH1SAH2SAH3St NicholasDoorwaySt Nick's interiorFontCourt in cornerConsistory CourtFancy DressCCGbird and bible 2chandelierBird and biblebird and bible 3OrganwindowPlaqueScreen on seaDann'sLumiere posterStage

VOLUNTEERING AT 27 KING STREET

I arrived back at no 27 a few minutes early. My fellow steward for the 12PM to 2PM slot turned out to be veteran councillor Lesley Bambridge.  As I will be writing a dedicated post about this I will say no more here. For a picture, here is a quirky architectural feature:

Ellipsoid skylight 4
I have never seen a skylight shaped like this – for the moment until I get more information I will call it the Ellipsoid Skylight.

A CLUB ON FERRY LANE

After finishing at 27 King Street I made my next port of call the Ouse Amateur Sailing Club, where I consumed a pint. After that I decided it was time to call it a day as I was unsurprisingly feeling ‘peopled out’ – 27 King Street attracted a lot of visitors while I was there. Here is a picture taken while at the club:

View from the terrace
This is the view looking downriver from the club’s terrace.

THE 101 PROBLEM

In “Anderson Joins the 500 Club and Other Stuff” I included the following problem from brilliant:

SC100 - q

 First of all the answer:

SC100 - a

There at least three areas of mathematical knowledge that would give you an ‘in’ to this one – logarithms, compound interest and Pascal’s triangle. Since I have some knowledge of all three this problem barely brought a crease to my brow. Here are a couple of good solutions from others:

solution1

The second solution I am sharing here had a particular appeal to me:

solution2

Just to finish, the exact power  (in terms of positive integers) of 101 that is the the first to begin with a number other than 1 is 70, and 101 ^ 70 runs to 140 digits. 

 

Puzzles and Pictures

A puzzle based on a blog post, a solution to an old puzzle, another puzzle from brilliant and some photographs

INTRODUCTION

Earlier today I put up a post titled “About Autism“, and because that post contained so much stuff this post is going to be much smaller – and with only a few links, all in one way or another puzzle connected. 

DERIVING A PUZZLE FROM A BLOG POST

Ester put up a post titled “Year 1729“, which featured the image below:

IMG_0079

The puzzle I am attaching to this is: which two famous mathematicians are linked by the number 1,729 and how did that link come about?

THE SOLUTION TO THE
MARBLES PUZZLE

In a post on Monday titled “Autism, Disability, Mathematics, Religion, Politics” which featured the following problem:
Marble Q

Below is first the answer that I gave, and then one of the solutions posted on brilliant:

answer

This solution from Arjen Vreugdenhil was particularly neat:

solution

NEW PROBLEM: TREASURE HUNT

This is another problem from Brilliant – can you find the treasure?

treasurehunt

PHOTOGRAPHS

PC 2Cormorants and gullstaking the plungeLarge slugCormorants 5Cormorants 4Cormorants and West Lynn ChurchCormorants 3Cormorants 2CormorantsFlying gull agains sunsetFlying gullblack slugtownscape

Wagtail
This time the little wagtail has the shot to itself.