What is the lowest entire number that, when spelled out, contains the vowels A, E, I, O and U exactly once?
This puzzle was published before in Games and Puzzles No. 12, April 1973, and probably many other sources.
If you solved it, we have the solution so you can check yours.
1) Pattern code lines*
As in previous puzzles of this type, every letter corresponds with a property of the figure.
1) Pattern code smileys**
As in previous puzzles of this type, every letter corresponds with a property of the figure. Which letters should replace the question marks?
A Trinairo puzzle consists of a square. Every row and column contains the same number of A, B and C’s. So in a 6×6 grid, every row and column contains 2 A’s, 2 B’s and 2 C’s. In a 9×9 grid, every row and column will will contain 3 A’s, 3 B’s and 3 C’s.
Some letters may be given. If a square is marked blue, the letter in the blue square may not be repeated in squares that are horizontally or vertically adjacent. They may be adjacent diagonally.
Sounds difficult? Not at all.
Try your hand at a simple 6×6 example:
1) 6×6*
2) 9×9*
3) 9×9*
4) 9×9*
To solve these puzzles, I suggest that you print them and use pencil and paper. You can check your solutions: nr 1, nr 2, nr 3, and nr 4.
When I started this blog it was one of my aims to give some international publicity on the Dutch puzzle scene, and I think this is the first post that serves this goal.
The Trinairo is a type of puzzle published by Sanders Puzzlehobby BV in Vaassen. In the Introduction of booklet no 5 Leo de Winter claims that he invented this type of puzzle after he invented the binairo (I hope to treat that puzzle type in a future post) in 2006. He mentions that the first prototype was published in Fall 2011.
Sanders puzzel publishes these puzzles 13 times a year. You can order them from their site
If you solved it, we have the solution to 1, solution to 2 solution to 3for you.
What acronym should go to the question marks?
| USA | DSA |
| USSR | NTTS |
| BBC | HGN |
| EULA | DRET |
| IBM | LSS |
| ISS | LEN |
| LED | TGE |
| EU | ?? |
The pattern of this puzzle was originally posted in the legendary British magazine “Games and Puzzles”.
1) Clocks
What is the code that goes into the question mark?
As in previous puzzles of this type, every letter corresponds with a property of the figure.
In the previous post I mentioned SudologiQs. Like Sudoku, the numbers 1-9 apear in every row, column and area exactly once. The difference with a normal sudoku is that no numbers are given as a clue, but that the puzzler gets a number of clues.
Let me give you a small 5×5 example.
Now let’s have an example of what a clue looks like:
Row I: Put the capitols of these countries in alphabetical sequence:
A: Korea
B: USA
C: Netherlands
D: Afghanistan
E: Germany
All these capitols are well known, though they are not always the biggest cities in those countries:
Seoul, Washington, Amsterdam, Kabul and Berlin.
Assigning their alphabetical sequence: 4 Seoul, 5 Washington, 1 Amsterdam, 3 Kabul, 2 Berlin. So the solution becomes
IA: 4; IB 5; IC: 1; ID: 3; 1E: 2.
OK, let’s get started. Did you know that usage of your memory activates large parts of your brain? I suggest that you try to solve this without using wikipedia.
Row I Put the names of these dogs in alphabetical sequence:
A. A dog who playes basketball
B. Son of Gray Wolf and Kazan
C. Laura Ingalls’ second dog in Little House on the Prairie
D. fictional collie dog character created by Eric Knight
E. First dog in Married … With children
Row II Associate these scientists with their branche of science:
A. Hendrik Lorentz
B. Euclides
C. Ivan Pavlov
D. Carolus Linnaeus
E. George Bernard Shaw
1. Physiology or Medicine, 2. Literature, 3. Botany, 4. Physics, 5. Mathematics
Row III Link these quotes with the persons
A. Only two things are infinite, the universe and human stupidity, and I’m not sure about the former.
B. Faith is taking the first step even when you don’t see the whole staircase.
C. Blood, sweat, toil and tears
D. By all means, marry. If you get a good wife, you’ll become happy; if you get a bad one, you’ll become a philosopher.
E. Love is a fruit in season at all times, and within reach of every hand
1. Mother Teresa, 2 Martin Luther King, 3 Winston Churchill, 4 Socrates, 5. Albert Einstein
Row IV Connect book and author
A: G. K. Chesterton
B: Agatha Christi
C: Ruth Rendell
D: Isaac Asimov
E: Dorothy Leigh Sayers
1. Henry, 2. Father Brown, 3. Lord Peter Wimsey, 4. Hercule Poirot, 5. Chief Inspector Reginald Wexford
Row V What is the translation of these bulgarian numbers?
A: tri
B: edno
C: chetiri
D: dve
E: pet
Column A Put the composers in chronological sequence:
I: Antonio Lucio Vivaldi
II: Johannes Brahms
III: John Lennon
IV: Johann Christian Bach
V: Wolfgang Amadeus Mozart
Column B Associate these trees with their uses
I: Maple Tree
II: Black willow
III: Para rubber tree
IV: Scots Pine
V: Spruce trees
1. Whitewood, 2. Rubber, 3. Maple syrup, 4. Turpentine, 5. Substitute for quinine
Column C Order the names of these islands in alphabetical sequence
They are depicted at different scales.
Column D In which country do you eat this?
I England
II Germany
III Greece
IV Italy
V Spain
1 Pizza, 2 Tapas, 3 Sauerbraten, 4 Horta, 5 Beef in Beer
Column E which sporter practises which sport?
I Sawao Kato
II Michael Phelps
III Elisabeta Lipa
IV Larisa Lazutina
V Anton Geesink
1 Rowing, 2 Swimming, 3 Cross-country skiing, 4 Gymnastics, 5 Judo
You can check your solution
Sudologiq were published in a book in German, by Ludwig Konemann. I have the dutch translation in my possession. Amazon sells a french translation. Googling for a few minutes did not show any english language examples, so you might well be looking at the first example in the english language.
1) Physics*
Every column and row totals 14.
ab3: the atomic number of silver
bc2: the number of hours in a day
bc1: the NGC number of a galaxy in the constellation Pisces
You should need only 2 of the 3 clues.
2) Bible*
Every row and column totals 13.
ab3: the number of years that the people of Israel dwelt in the desert
abc2: number of fish caught by Peter at the end of the gospel of John
bc1: age of Mozes when he was called in the desert, + the number of daughters of Putiel that Eleazer took as his wife(s)
You should need only 2 of the 3 clues.
3) Games*
Use the numbers 2,3, 4 and 6 exactly once in every row and colomn.
ab4: the number of chess pieces at the start of the game
bc3: the number of territories in the risk game
cd1: number of pegs in standard peg solitair
d2: number of suits in a card game
b21: the number of playing squares on a monopoly board MINUS the maximum number of houses on 1 street.
a21: the number of playing fields in back gammon
Again, you don’t need to solve every clue to solve the puzzle.
Cross-sums like the above appeared among others in “Introducing cross-sums” by Edward Fulbrook and Richard Maltby jr, ISBN 0-911104-68-2 in 1977. Mid 2012 I purchased a book with sudoku’s to be solved by obtaining trivia.
The term “cross-sum” is nowadays almost exclusively used for kakuro puzzles, which are hugely popular. Kakuro puzzles have a totally different concept.
In summer 2012 I obtained a book SUDOLOGIQ by Ludwig Konemann, which takes this concept to the form of sudoku’s.
You can check your solutions:
solution to 1
solution to 2
solution to 3
John Smith has come up with a perfect plan to get rich: he is gonna auction dollar notes, but with a twitch. The dollar note will be won by the highest bidder, as usual, but the next highest bidder also has to pay his bid.
Now if you wonder how this is gonna make him money, let’s consider how an auction is likely to develop. It is obvious worthwhile to bid 1 cent, so someone will likely do that. It is also profitable to overbid this with 2 or 5 cents, so let’s say someone else will bid that. prices will go up. But a problem develops near the 100 dollar cent limit. Let’s say someone hits 98 cents. Someone else bids 99 cents. Then the person with the 98 cents bid will loose 98 cents unless he bids 100. And then the first person, who is about to loose 99 cent, is better off by a bid of 101 cent.
Now, how can you, as one of the bidders, outsmart John Smith?
Fellow consultant Con Diender was kind enough to buy me the booklett “Einstein’s riddle”, by Jeremy Stangroom. Though I think the title is not accurate – the zebra puzzle is a puzzle, not a riddle – it is an interesting collection of problems. The problem above was mentioned in this book, though the author gives an incomplete or incorrect answer.
Edgeview or Endview or “ABC End view puzzle” is the name of a popular class of logic puzzles. The english language wikipedia calls it Buchstabensalat, but gives no source for this name, and I frankly believe this is a mistake. I have seen it called Endview, though personally I prefer the name edgeview. At the time of writing, the arguments ‘endview puzzle’ gives 18.600 hits, buchstabensalat 16.000, but often with a different meaning or with an explanation that this is an “ABC end view puzzle”. It appeared in many world puzzle championships.
I’m not sure who invented this type of puzzle, or when. I think I have seen it around for a few decades.
In a 4×4 square grid, every row and column contains the letters ABC and one empty space. Along the edges of the grid, some cells are filled with the first letter seen from that cell.
1) 4×4
The following puzzle has an A, B, C and empty space in every row and column.
2) 5×5
This puzzle has A, B, C and two empty spaces in every row and column:
3) 6×6
There are an A, B, C, D and two empty spaces in every row and column:
If you solved it, we have the solution to 1, solution to 2 solution to 3for you.
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