Tag: “The Door of Death”

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.

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
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