## 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:

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:

# 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:

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:

# PHOTOGRAPHS

These photographs were taken in Norwich…

## Toxic Earth

A warning note courtesy of http://www.indy100.org, some stuff about public transport, some stuff about science, a link to a satirical pamphlet and some photographs.

# INTRODUCTION

The title of this piece comes from an article on www.indy100.com although I am sharing many other things besides that, including some of my local photographs. However before I get into the main meat of my post there is one other matter to attend to:

# ERRATUM

In a recent post I identified a bed of yellow flowers as daffodils. It has since been brought to my attention that they were in fact yellow crocuses. I apologise for the mistake, and please note that I am not resorting to the equivalent of putting the apology in six point type somewhere in the middle of of page 27!

# TOXIC EARTH

Reading this article put me in mind of Anna’s recent post “No 17 drawing in my goals for 2017” where the drawing is about a group of people stranded in space looking for another planet to replace the one that they had to leave behind because they messed it up too badly. Click on the image below to read this important and sobering article.

# A COUPLE OF LONDON TRANSPORT RELATED BITS

I usually reserve stuff about London transport for my London transport themed website http://www.londontu.be, where indeed I shared the second piece in this section yesterday, but I felt these two bits should also be shared here.

## LAURIE PENNY ON UBER

Laurie Penny has turned her fire on private cab hire firm Uber, and the result is a devastating article in the Guardian, which I hope will succeed in weaning a few people off this vile organisation. Please read the article in full please click on the image below.

## TUNNEL ARCHAEOLOGY AT THE MUSEUM OF LONDON

The central section of the Elizabeth line (nee Crossrail) cuts through London on an east-west axis, and there being no space on the surface it also cuts vertically through millennia of history. It is this latter that has led to the creation of a new exhibition at the Museum of London showing the best finds unearthed during the building of the line. Accompanying this exhibition is a short video, embedded below. After the video are links to more about this and about the Museum of London.

# PAYING MORE BUT GETTING LESS

This is a petition put together by Going to Work which calls not only for affordable affairs on our railways but also for a fully publicly owned and publicly accountable rail network. To view, sign and share the petition please click on the screenshot below:

# PHOTOGRAPHIC INTERLUDE

Here are some pictures from in and around King’s Lynn:

# ATHEISTS ARE BECOMING MORE POPULAR

Here is a truly international link – a Brit sharing a post written by a New Zealander about the USA. Heather Hastie has carried out a typically thorough comparison between the Pew Research Centre’s findings of three years ago and of just recently. Please read Heather’s post in full by clicking here.

# A TRIO OF SCIENCE PIECES

The first two pieces in this section were initially posted on whyevolutionistrue starting with a piece drawing on the work of Pliny the in Between, who runs a website called The Far Corner Cafe, and of a doctor who posts under the name of Orac on scienceblogs, whose piece can be read here, to demonstrate that Chiropractic is not merely nonsense, but dangerous (indeed potentially fatal) nonsense at that. Jerry Coyne, creator of whyevolutionistrue (it takes its name from his landmark book of that title published in 2009), has received many hostile comments in response to previous pieces he has written that are critical of Chiropractic. To read this piece in full please click on the image below, the first in a series of five drawings from Pliny the in Between that were used to illustrate the post.

Second of the trio, again courtesy of WEIT, is a piece linking to a paper published in the journal Nature that mentions the discovery of potential traces of life in sediments that range in age between 3.77 and 4.28 billion years (the earlier end of the scale being about as early given what is known about our planet’s turbulent beginnings as life of any sort could have taken hold). To read the post in full and possibly move from there to reading the paper in Nature please click on the image below:

The third in my science trio comes from the Smithsonian and has the self explanatory title “NASA Wants the Public to Log In to Help Find Plant 9”. To read the piece in full please click on the image below.

# A SATIRICAL PAMPHLET FROM UNLOCK DEMOCRACY

To read this pamphlet from Unlock Democracy  in full please click the screenshot of the cover below:

# SOME FINAL PHOTOGRAPHS

This set of pictures are of items that will be going under the hammer in James and Sons’ March auction, a full catalogue listing for which can be viewed here.

## Nonuple Nelson

My 999th post on aspiblog – an appropriately quirky melange – share if you agree!

# INTRODUCTION

The title of this post comes from a cricket related quirk, explained by the image below, which is an extract from Mike Brearley and Dudley Doust’s book about the 1978-9 ashes series (six matches, Australia 1 England 5):

The ‘nonuple’ part of the title comes from the fact that this is my 999th post on aspiblog, and like the old Gloucestershire spinner Bomber Wells who deliberately retired on 999 first class wickets I have decided the commemorate 999 rather than the more conventional 1,000. By the way, although 999 is indubitably part of the ‘Nelson’ sequence I suspect that never mind me as someone immune to woo in all its forms even the late legendary David Shepherd might have considered that at 999 there was little to worry about (in point of fact it is 0% success rate as a score at which wickets fall – twice in first class cricket a team has scored that many – Victoria both times, against Tasmania in 1922 and New South Wales in 1926 and both times they reached the 1,000 safely and won the matches by monster margins – an innings and 666 and an innings and 656 runs respectively).

# SOME RECENT FINDS

First a story which I reblogged from Why Evolution Is True yesterday, but which is so spectacular and so well presented that I am sharing a link to it today as well – click the picture below to visit:

Second, a suggestion that London should take its cue from Paris and make public transport free of charge (what are you waiting for, Sadiq?). I have already shared this on my London transport themed website, and now take the opportunity to promote it here – via two pictures, the first of which contains a link to the original article on www.independent.co.uk:

Still on the transport theme is this piece in The Guardian about how Uber are (mis)treating their drivers.

My next link concerns libraries, and the fact that they are being hit by huge funding cuts. At the bottom of the article mention is made of the library from which the most items have been borrowed this year – Norwich Millennium Library (and although that is the library I use least frequently of my three regulars my visits there are not entirely unconnected to the large number of items borrowed there!). Click here to see the original piece.

My final link in this section is appropriately cricket themed. Before getting on to it I note by way of observation that as the third day draws to a close the current test match between India and England seems to be capsizing under an overload of runs (Eng 400, Ind currently 445-7). A new cricket blog has appeared on my radar, and I introduce it to my readers by way of a link to a review of Steve James’ book The Art of Centuries.

# PICTURES

To end this post here are some coin images from yesterday at work (on this occasion high-res scans rather than photographs as these were small lots):

## Drama in Dhaka and a Photographic Walk

A personal account of the opening day’s play in Dhaka, and a photographic walk concentrating on trees. Some interesting links at the end.

# INTRODUCTION

As well as my view on the opening day’s play in Dhaka which I listened to earlier this morning this post contains details of a walk around King’s Lynn that I took after play had finished and some interesting links.

# DRAMA IN DHAKA

A wonderful opening day in the second Test Match between Bangladesh and England in Dhaka has finished with England 50-3 in response to Bangladesh’s first innings 220. When Tamim Iqbal and Monimul Haque were speeding along at four an over Bangladesh seemed to be headed for much for than 220, but Tamim’s dismissal shortly after completing a sparkling century triggered a collapse from the high water mark of 171-1 to 220 all out, Moeen Ali picking up five cheap wickets. The loss of Cook (captaining the England test team for record equalling 54th time), Duckett (just starting his international career) and Ballance (who has not been batting long enough lately for anyone to see what kind of form he is in) meant that by the close Moeen Ali was batting, and with some assistance from the weather he and Joe Root managed to hang on.

In some ways this match has similarities with Old Trafford 1902, when a lightning century from Victor Trumper (who reached the landmark before lunch on the first day) gave Australia a strong start which was then hauled back. Australia had a brief mid innings revival on that occasion and reached 299. England lost early wickets but then two middle order batsman, Len Braund and Stanley Jackson steadied the ship, the latter reaching one of his five test hundreds (all scored against Australia in England), and England were a mere 37 behind. A magnificent second innings bowling performance from England saw Australia all out for 86, and when England in pursuit of their target of 124 reached 92-3 the game appeared to be done and dusted, but then England panicked and started losing wickets, Clem Hill took a spectacular catch along the way, and suddenly debutant Fred Tate found himself going out to bat at 116-9 – he snicked one four, survived two further deliveries and was then comprehensively bowled to give Australia victory by three runs. If this match is as close I will be delighted, and as I stated in an earlier post, I will be particularly delighted if said close result goes against England because I believe that a victory against top table opposition for Bangladesh will be good for cricket as a whole.

To finish this section, although Bangladesh are pretty new to international cricket, Dhaka under its old name of Dacca has a much longer connection to the game, being one of the few cities to have hosted home games for two different countries. Going back further still, Bransby Beauchamp Cooper who played for Australia in the first ever test match in 1877 was born in Dacca.

# A WALK FEATURING TREES

I got the idea for doing a walk in which I focussed mainly on trees at this transitional time of year from Anna, who put this post up recently (I recommend that you check the comments as well!). This then is my version of a tree walk…

## SETTING OUT

As this first set of pictures, taken from my outside space show I don’t have far to go to be able to see trees:

Heading across Baker Lane Car Park towards the Purfleet which I was then going to follow the Great Ouse provided these pictures:

## A SOUPCON OF HISTORY AND ALONG THE RIVER

Since I wanted to be in  that vicinity to photograph trees on the other side of the river anyway I took one non-tree related photograph before heading along the river, and this set of pictures actually features a second. This stretch ended with a brief diversion from the river front to skirt Bole Quay.

## SKIRTING BOLE QUAY AND LEAVING THE RIVER

After skirting Bole Quay I briefly rejoined the river front, before leaving it by way of a path through Harding’s Pits.

# HARDINGS PITS TO SEVEN SISTERS

From Hardings Pits I headed by way of the South Gate to Seven Sisters where I entered the parkland area.

## THE PARKLAND

I headed from Seven Sisters to the Band Stand, and the from the Band Stand to St John’s Walk, which I followed until I left the parkland heading in the direction of the train station:

## HOMEWARD BOUND

Even after leaving the parkland there were a few more photographs:

My first is a little gem from travel vibes on twitter, introducing the word thalassophile (not all readers of this blog are on twitter, and this is a goodie).

First the definition: Thalassophile (n): Lover of the sea, ocean. Here are the real reasons for posting this, the accompanying pictures:

Next come two autism related links:

• As NAS West Norfolk Branch Secretary I am delighted to publicise NAS’s latest campaign “Close the autism employment gap”.
• My second concerns the Kevin Healey petition calling on Brentwood County High School to expel a gang of bullies who have been preying on an autistic student. Since I put up a link to this petition in a previous post details have emerged of a second shocking case of bullying at the same school. For more details, please click here. As a coda it is sadly abundantly clear from the comments that bullying has been a major problem at this establishment for a long time and that the head teacher in particular and other senior staff have been taking the ‘ostrich’ approach to the problem.

My next link is to a campaign to secure better working conditions for Uber drivers (and now is a particularly good time to pile on the pressure as Uber have just taken a hit in court). Click here for more details and to support the campaign.

I give the final word to Britain’s youngest MP, Mhairi Black, here hammering Concentrix – and managing to be very funny in the process: