Answers to a query of mine and to a puzzle that I set, accompanied by some photos.
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:
I offered up this problem from brilliant last night:
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:
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:
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:
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?
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:
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.
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.
Royal Mail workers have voted by a huge margin to take strike action. The official voting figures are:
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!
Some solutions and some new problems/ questions. Also details a thank you card for TFL and some photos.
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.
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:
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 AbbotFox:
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:
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:
Letting people know that I will be visiting Cornwall in the near future, and a few other bits and bobs.
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.
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.
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:
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.
From there it was a short walk through the park to the station to pick up the tickets.
The email giving me the code to collect my tickets also included itineraries for both journeys.
This is a little stretched out, but I for one would not care to be on a train the was due to arrive at Kings Cross at 12:35 when I had to make a connection at Paddington at 13:05 – given British public transport’s usual “punctuality” that would be courting disaster.
The journey back could be a little quicker – but note that since there is no pre-booking on the London to Lynn line it is merely an annoyance should I miss the 14:44.
THE BRILLIANT.ORG 100-DAY
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).
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”:
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?
An overview of Heritage Open Day 2017 and the solution to a mathematical problem.
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:
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.
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…
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…
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…
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:
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:
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:
The second solution I am sharing here had a particular appeal to me:
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.
A puzzle based on a blog post, a solution to an old puzzle, another puzzle from brilliant and some photographs
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
Esterput up a post titled “Year 1729“, which featured the image below:
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?