I have a triangle which contains two circles of radius 1, which do not overlap each other or the edges of the triangle.
The triangle has the least possible PERIMETER to contain those circles.
What is the perimeter?
Your Custom Text Here
I have a triangle which contains two circles of radius 1, which do not overlap each other or the edges of the triangle.
The triangle has the least possible PERIMETER to contain those circles.
What is the perimeter?
Chances are you've never met a Shadowbox puzzle before, as it is my own invention, so I'll explain how they work.
Despite looking like crosswords, they are logic puzzles rather than word puzzles, since you don't need to be familiar with any of the words, or know their meanings.
The idea behind the puzzles is actually very simple: you need to fit all of the listed words into the grid, in a crossword style (ie. all words reading left-right or downwards, forming a lattice, with black squares in between). However, you must construct the grid of black squares and letter squares as you go along, using just three very simple rules:
1: A grey squares means that the square will either become a black square, or else it will contain a vowel (A, E, I, O, U).
2: A white square will definitely contain a consonant.
3: The final pattern of black squares and letter squares will be symmetrical in horizontal, vertical and diagonal directions.
Please visit and like https://www.facebook.com/elliottlinepuzzles/ Send me a message on that page if you think you have the answer, and I'll let you know if you're correct.
If you enjoyed this puzzle, I have good news for you: I published an entire book of 100 of them, which you can find here: http://www.lulu.com/shop/elliott-line/shadowbox-logical-crossword-puzzles/paperback/product-20347753.html or here https://www.amazon.co.uk/Shadowbox-Logical-Crossword-Puzzles-Elliott/dp/1447861965/
Another bonus 'Puzzle of the Week'.
Draw fences between some of the posts so that each post is at the junction of exactly THREE fences.
These fences will divide the field into several PADDOCKS; any paddock whose area is greater than a single triangle will contain a NUMBER, which will indicate the area of the paddock, or in other words the number of TRIANGLES that make up the paddock.
The boundary fence is already in place, so any post on the boundary only needs one more fence emerging from it in order to make up its full complement.
Please visit and like https://www.facebook.com/elliottlinepuzzles/ Send me a message on that page if you think you have the answer, and I'll let you know if you're correct.
I have taken a short passage of text and encoded it according to the table below. Your task is to decode it. Be careful, as some sequences of numbers could lead to several words, for instance 31110 could mean CAT (3,1,110), but could equally mean MAD (31,1,10).
Please visit and like https://www.facebook.com/elliottlinepuzzles/ Send me a message on that page if you think you have the answer, and I'll let you know if you're correct.
Another bonus 'Puzzle of the Week'.
Draw fences between some of the posts so that each post is at the junction of exactly THREE fences.
These fences will divide the field into several PADDOCKS; any paddock whose area is greater than a single triangle will contain a NUMBER, which will indicate the area of the paddock, or in other words the number of TRIANGLES that make up the paddock.
The boundary fence is already in place, so any post on the boundary only needs one more fence emerging from it in order to make up its full complement.
Why not visit https://www.facebook.com/elliottlinepuzzles/
A question for you: I'm busy putting together a new book of puzzles (and then trying to get it published or self-published).
Should it be a wide assortment of puzzles like my Puzzle of the Week?
Should it be a mixture of Paddocks and other original map/maze/grid/path style logic puzzles?
Or should it be primarily or even exclusively Paddocks puzzles?
All comments welcome!
You might need a calculator for this one
[1]+[2]+[3] = 12
[2]+[3]+[4] = 14
[3]+[4]+[5] = 14
[4]+[5]+[1] = 11
[5]+[1]+[2] = 12
What is [8]?
Why not visit https://www.facebook.com/elliottlinepuzzles/ where you'll be able to send me your solution, and I'll let you know if you're correct.
Update: solution now in comments
I usually publish a puzzle each Friday, but here's a bonus one:
Draw fences between some of the posts so that each post is at the junction of exactly THREE fences.
These fences will divide the field into several PADDOCKS; any paddock whose area is greater than a single triangle will contain a NUMBER, which will indicate the number of TRIANGLES that make up the paddock.
The boundary fence is already in place, so any post on the boundary only needs one more fence emerging from it in order to make up its full complement.
Why not visit https://www.facebook.com/elliottlinepuzzles/
The following is a self-working card trick I invented a few years ago for my daughter to perform.
In the instructions below I have left out a crucial piece of information – what is the value of ‘x’? (Technically there are 3 possible answers, but I’m looking for the smallest of those).
Take a normal pack of 52 cards, well shuffled.
Discard the first ‘x’ cards.
Deal the remaining cards into 3 equal piles.
Ask the mark to choose one of the piles to discard.
Ask the mark to choose another pile. Show them the card on the bottom of that pile and then place that pile on top of the other remaining pile (so that the target card is roughly in the middle of the pile).
Deal all of the cards into two piles, left-right-left-right-etc.
Pick up the right pile and again deal them left-right-etc.
Continue until all but one of the cards is in the left pile. The card remaining in the right pile is the target card.
A mother and daughter are sat together on the settee, flicking through a photo album, whilst a massive international event plays out live on the television.
‘See this photo?’ says the mother, ‘this was taken on New Year’s Eve 1999. What a night!’
‘How old were you in that photo Mum?’ asks the daughter.
‘Well, funny you should ask that, I was halfway between your age now and my age now, precisely to the day’.
Since their dates of birth are 12th March 1980 and 4th May 2005, what was on the TV?
Find the hidden word in each of the following sentences – they are on a related theme.
Are high winds or heavy rain forecast for this afternoon?
Are you a stud or a jock?
Diablo is Spanish for devil
Disco Stu, artist in residence.
I’d like to implant a gene to make me less lazy.
I’ve been on a Russian journalism course.
Is Kevin or Mandy in charge?
It’s easier to go under the prison wall, rather than over.
There’s a film version of Blankety Blank, with Matt Le Blanc as Terry Wogan.
Who’s in charge now, Mandy or Kevin?
Insert the numbers 1 to 12 into the twelve empty spaces, so that the sum of the three numbers along each edge give the totals shown.
This isn't a puzzle in any traditional sense, however I thought I'd share it here anyway:
Noughts and crosses (tic tac toe) is famously a game which will always end in a draw if both players are playing rationally.
However with a simple change to the rules which would appear to be both sensible and fair - namely that neither player may place their first mark in the centre square - the player who goes first can always force a win.
The puzzle then, if there is one, is merely for the reader to satisfy them self that this is true, and to determine, if you were going first, how you would force a win.
I have taken a quotation, and I have replaced each of the letters with one-, two- of three-digit numbers according to the table below. Can you change it back to letters?
Be careful though, as some sequences of numbers could lead to several words, for instance 31110 could mean CAT (3,1,110), but could equally mean MAD (31,1,10).
This particular quotation is from Leo Tolstoy.
Where in everyday life in the UK might you encounter a numerical sequence that alternately subtracts 49 or adds 50 to the previous number?
When ‘Christian festival’, ‘annoy’ and ‘childminder’ initially lurch to the right, they become ‘food tester’, ‘parent’ and ‘better adapted’.
What animal does ‘speak/complete’ become?
Insert the numbers 1 to 8 into the eight empty squares, so that the sum of the three numbers along each edge give the totals shown.
Of the 50 US states, there is one that contains all of the letters of OLD ASH, and there is one that contains none of those letters.
Find both of the states.
Draw fences between some of the posts so that each post is at the junction of exactly three fences.
These fences will divide the field into several paddocks; any paddock whose area is greater than a single triangle will contain a number, which will indicate the area of the paddock that contains it.
The boundary fence is already in place, so any post on the boundary only needs one more fence emerging from it in order to make up its full complement.
For example:
Here is the puzzle:
You have a pair of concentric circles, of diameters 187 and 119 respectively. If you draw a chord of a particular length, the points at which it goes in and out of the inner circle will divide the line exactly into 3 parts, each of length ‘x’.
What is the value of ‘x’?