Puzzle Picks, by Kohner No. The discs must be arranged such that no color appears more than once in each of the three rows and three columns of six diamonds. Mattel's Virtual Illusion puzzle contains a base and a series of transparencies each containing a portion of a three-dimensional image. Wii at World and World I found that 24 of the are iso.
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A chaque fois que j'essaye, je m'embrouille, ou l'autre ne comprend pas ce que je raconte. Il faut juste me faire confiance et y jouer. Newsletters Ne ratez rien de l'actu ludique! Pathfinder - Le Jeu de Cartes. Les Jeux du Griffon.
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More must-have exclusive deals. How Jamie Brewer, an actress with Down Syndrome, is inspiring others. Latest Entertainment Headlines Sep Lady Gaga, Bradley Cooper show off their chemistry in 'Shallow' music video The official music video was released Thursday ahead of the movie's premiere. Film chronicles climber's solo journey up Yosemite 's El Capitan with no gear "Free Solo" captures Alex Honnold's struggles on and off the mountain. Twist the blocks to ensure that at each intersection, there are three different or same colored spots.
Pieces are paired by elastic cords threaded through the narrow end and anchored inside on hooks molded on the back plates. The elastic cords had long since worn out, but you can easily pop out the back plate by poking an unbent paper clip through the hole. I replaced the cords with rubber bands. If any of the internal plastic hooks are broken, just anchor the band with a paper clip. Mental Misery aka Double Trouble - Lakeside A transparent box, a frame which fits inside the box and will hold four cards vertically against the box sides, and five cards each colored with four colors front and back.
The four colors are red, yellow, green, and blue. Arrange the cards on five sides of the cube so that edges match inside and outside the cube. The instructions are marked: Copyright Leisure Dynamics, Inc. The box is marked: Made in Hong Kong. The frame is marked: The Great Pyramid Pocket Puzzle, by Eliot Inventions Wales , is a tetrahedron with 4 equilateral triangular tiles pegged to each side.
The triangles are printed on one side only with a series of radiating wedges of different widths. The objective is to arrange the triangles so the edge patterns on all adjacent triangles match. The larger version with 9 triangles per side carried a 25, GBP prize for the first solver.
I have no idea if it was ever awarded. The small case is a mini-puzzle in itself - a 2-piece trick box. Another oldie but goodie is On-the-level by Mag Nif. Fit 9 multi-level pieces into a 3x3 grid such that wherever 2 pieces meet along an edge it is at the same level.
In addition, the solution must be "toroidal" - i. The puzzle gives 13 arrangements to make and requires that all adjoining edges match. Southport England Edgematching triangular tiles on the faces of an icosahedron. Alternative challenges include total 15 on every pentagon of five triangular faces, or show a 5-letter word on every pentagon. Designed by Jerry Langin-Hooper 12 magnetic pentagonal pyramid pieces form a dodecahedron.
The edges of each pentagonal face have a color one of five , and a small black shape one of rectangle, semicircle, triangle. Try to assemble the dodecahedron such that the colors match at face edges only one solution , then such that the small shapes match 47 solutions, but much more difficult to find. It isn't possible to do both simultaneously. Dodecahedral edgematching - R. This is a dodecahedron whose faces turn. One of three symbols a circle, square, or triangle is printed at every vertex of every pentagonal face.
The objective of the puzzle is to rotate the faces in place so that at all 20 vertices of the dodecahedron, three different symbols show. Although discolored with age, the plastic remains intact and the puzzle is playable. Thanks very much, Colin! I obtained a copy of the Hubley Toys Catalog , which features a series of four puzzles designed by Piet Hein.
With the acquisition of the Twitchit, I now have an example of each of these vintage Piet Hein puzzles. I have not seen any solution technique like mine applied to this type of puzzle - even Jaap's page says one must try all combinations.
My technique is a considerable savings and allows a solution - and negative results - to be derived easily by inspection - the hallmark of a graphical technique. I have worked this entirely "by hand. There are seven hexagonal "nuts" that I label A thru G. For each nut, the six sides are numbered 1 through 6 in some order.
One nut of seven must be placed in the center. In a solution, each nut except for the center must abut 3 other nuts and at each abutment the numbers assigned to the respective abutting sides must match.
I begin by developing a "Primary Table. Some reflection should convince you that a solution is possible if and only if one can find a set of six cells, such that: In the diagrams below, I have crossed out cells in red and given lower-case letters to the slashes to indicate the order of my logic. I have circled each impossible situation in purple.
Here, one has to arrange pieces so that connections are made, creating a specific route across the pieces according to some rule.
Arrange the pieces in the tray to form a closed loop of chain links. A set of 85 hexagonal tiles, each with 3 path segments using up to 3 colors. A solitaire challenge is to build a 9x10 rectangle alternating rows of 9 and 8 tiles. Play a related game, Kaliko, online here. Here is the included solution to another solitaire challenge: Rubik's Tangle set of 1 thru 4, and the 9 double-sided plastic tiles version The original sets have 25 one-sided cardboard tiles, and come in four versions distinguished by which particular tile is duplicated within the set.
Taiwan JH Vol. The instructions tell you to "arrange the playing pieces on the diamond so that a continuous unbroken line is formed. The box says "Made in U. There are twelve cubes, each side of which shows a correctly linked arrangement of two or three dominoes.
Paraphrasing from the instructions: Using the box base as the playing area, start with a double-six in the top left corner. There are six faces among four of the cubes showing a double-six. The box holds a rectangle of 3x4 cubes. Match dice so a continuous pattern is formed, as in regular dominoes. You must use all 28 dominoes and cannot use any domino more than once.
Each must line up and doubles must be at right angles. A solution sheet I haven't looked is enclosed. TSL Maze Assemble the pieces to form a maze.
Cobra Cubes , from SmartZone Games. Designed by Ariel Laden. Four cubes, each a different color. Each cube's sides have various segments of a snake - a head, tail, or body section. A booklet of challenges, graded A, B, C, or D, requires one to arrange the cubes in order to form a snake that spans all visible faces of the required cubes. Anaconda - designed by Raf Peeters A 5x5 grid with one corner filled, seven 2-sided pieces, and a 1x1 blank piece. Cover a designated square with the blank, then fill in the rest with the other pieces while building a complete snake.
Tromino Trails from Pavel Curtis IPP31 Berlin Using subsets of Tromino pieces inscribed with trail segments, make a single closed loop in five different-sized openings in the adjustable tray. Two 1x1 tiles, one with a notch and one with a tab - the start and end tiles respectively. A sheet with 13 challenges - each specifies positions and orientations for the start and end tiles.
The objective is to connect the 1x2 tiles in the tray to create an unbroken path from start to end. I really like this one! World Passport , from SmartZone Games. Designed by Tzafrir Kazula. Fit six poly-hex pieces into a hexagonal grid overlaid on a "country" card such that five points are connected in order by a transparent path, with no backtracking.
A series of challenge cards indicate the placement of up to 4 blue and 4 red soldiers. Place the four wall pieces such that all blue soldiers are completely enclosed and all red soldiers are "outside" the walls "Extra Muros". You are finding the route the walls must take. Raf gave an interesting talk at IPP31 in Berlin, in which he said that one goal of design is to ensure a customer can apprehend the goal of a puzzle just by looking at it in the package.
Golf Line by Binary Arts Arrange 20 1x1x2 rectangular cards depicting sections of an hole golf course to form a continuous cart path from hole to hole. Hints and solution are included. Eight sliding blocks representing walls, hallways, and stairs in various configurations, and a player figure. Set up the blocks and figure per the current challenge, then try to solve it by sliding the blocks and moving the figure from block to block to eventually exit the board. The block where the figure resides cannot be moved, and the figure can only be moved to rest on certain blocks.
Temple Trap combines a sliding-piece puzzle with route-building challenges and has a great theme reminiscent of Indiana Jones.
Perplexing Python issued by Pentangle Roundabout - invented by Volker Latussek Produced by Popular Playthings Use the 18 pieces of four different shapes to build a closed loop - assemble 50 challenges.
Matchstick Puzzles Using just a set of matchsticks or sticks without the matchheads , form a figure, then transform the figure into some other figure moving only a specific number of matchsticks. Puzzle Picks, by Kohner No.
Includes a set of colorful plastic "matchsticks," a booklet of 80 puzzles, and a solution sheet. There are lots of matchstick puzzles on-line A set of brightly colored matchsticks, in a matchbox marked "Puzzle" from Japan. Allumez les Enigmes , produced by Kikigagne.
A set of matches and cards posing 50 matchstick challenges in French. The panels fit into grooves in the board. An included sheet specifies the setup and objective for 33 puzzles, but does not give solutions. There is no physical mechanism to restrict moves - only rules or the goal govern legal combinations.
The piece shapes will be fairly abstract but usually it will be easy to abut them and they will interchange positions easily. I have created a separate page for Tangrams.
This classic three-piece French puzzle is called Bucephale. Arrange the three pieces to form a horse. Sam Loyd called it his Pony Puzzle. Arrange specific blocks to form different silhouettes. With the Tangramino , Equilibrio , and Architecto books from Foxmind , I can use the pieces in the Cliko set I already have, to try many new challenges.
Copy Device - Hiroshi Yamamoto Place the 3 pieces flat in the tray to create two identical green areas. The Rabbit Silhouette or "Question du Lapin" Layer the five cutouts to form a rabbit Play the rabbit silhouette on-line. Arrange the 5 layers so the cumulative cutout area forms the shape of a pipe.
Mattel's Virtual Illusion puzzle contains a base and a series of transparencies each containing a portion of a three-dimensional image. You need to order the transparencies in the base so that the image appears correctly. Each is a modern adaptation based on an old puzzle design. I purchased some from In and Out Gifts which seems defunct. Each puzzle consists of a set of cards with various design fragments and cutouts. Stack the cards to achieve specific patterns, such as uniform color front and back, or unbroken paths of given colors from point to point.
Transposer 6 Bonbons Genesis Kaboozle Tiffany Tower of London Struzzle Along the same lines as the Toyo Glass puzzles, combined with the weave concept, Strip Tease requires you to create a 5x5 weave using 10 clear strips having various arrangements of quarter-squares so that all solid squares result.
Trixxy designed by Dror Green - superpose four cards having transparent and opaque colored sections in order to produce a solid column of each of the four colors. This is the "2D 3D Burr" - stack the transparencies so that the image of a 3-piece burr appears.
Cover Your Tracks - Thinkfun Four pieces and a set of challenge cards - for each card, pack the four pieces into the tray so that the bootprints on the card are all covered.
Four transparent overlays, each with a 6-unit enclosure. On each problem background, fence off unlike things. Frustables by Gameophiles Unlimited Six sets of six cards. Each set of six cards has one colored puzzle on the front and another color on the back - twelve puzzles in all.
A card has a given color, and may have some black area. The objective given the six cards belonging to a given puzzle is to pile the cards such that all the black areas are covered but no colored area is covered. These are difficult puzzles! Ariel Laden's Kookoo Puzzles - Funny Fliers Four six-card puzzles, and one large puzzle using the backs of all 24 cards.
Position and interleave the cards of a set to form a complete picture. This principle is very similar to that of the puzzle Frustables by Gameophiles Unlimited. Four well done puzzle challenges and two expansion packs from Smart Games. I admit I had trouble with the very first problem! Four Painters By Paradoxy Products.
Six square cards, each almost cut into quarters and each bearing a portion of four different images. Interlock and overlap the cards to create each image, in turn. Make a large hexagon from 18 transparent trapezoidal tiles, while matching edge colors. A refined version of Pavel's exchange puzzle from IPP Nine transparent pieces, and a frame in the shape of a magnifying glass. Arrange the pieces in three layers inside the frame. Find two distinct overall arrangements to determine "two things given to Snow White.
Pathwords invented by Derrick Niederman For each of 40 challenges of graduated difficulty, fit a subset of the supplied transparent pieces to completely cover the field of letters such that each piece covers one word that runs backwards or forwards. Each tile has either black segments, cutout segments through which whatever is behind the tile, including the black base will show, or blank area. On the Line - issued by Brainwright A set of graduated overlay-pattern-assembly challenges.
Arrange four identical transparencies to form a given shape. Star Shuffle 2 Stack the four disks so that a star appears in all twelve holes. Each dot is one of seven colors. Form a 7x7 mat by joining strips back-to-back cross-wise, such that where two strips cross the dots on both sides are the same color. From the patent description - the Weave-O-Gram "comprises a framework and a plurality" patent lawyers love that term "of flexible bands some extending in one direction and the others at right angles thereto, the various bands being interwoven On each band there is provided a number of sections of a picture Each band will be provided with the sections of a number of different pictures so that a number of different complete pictures may be made up.
The bands move pretty freely, occasionally catching on small rough edges or tears. It is best to use both hands to move a band, slowly, from both edges of the frame simultaneously.
As you might expect, Weave-O-Gram is not too challenging, however the graphics are nice and this is a great implementation of one of those ideas that seems obvious once you've seen it done.
Perry's device employs linear strips rather than looped bands. It is pretty much a copy of Shamah's idea - Frankl's improvements are to "effect economies of manufacture and assembly and to provide for ease of manipulation and attractiveness.
I learned that the company Century as of March purchased by Allcraft Marine makes powerboats, and was founded in Milwaukee in Since boat production orders were seasonal - heavy from March through July and slack during the rest of the year, one of Hewitt's initiatives was to offset the downtimes by producing other, stable products such as toys.
Century produced a line of educational toys under the brand Edcraft , including Weave-O-Gram. Shamah also patented in the UK a locking mechanism for a money box. This problem first appeared in the Berliner Schachzeitung , where only two solutions were provided c. Bezzel was born in in Herrnberchtheim, one of six brothers and three sisters; he was a math teacher and lawyer, and died young at age 47 in , probably of cancer. The full solution to the problem did not appear until published in the Leipziger Illustrierte Zeitung 15 No.
A proof that there are only 12 unique solutions was published in the Philosophical Magazine by English mathematician and renowned pottery collector James Whitbread Lee Glaisher , pictured at right. The text of PM is available online. The problem is generalizable to the N Queens Problem , using n queens on an nxn chessboard. There is no known formula for computing the number of solutions given n.
You can see a chart of findings for various n up to 26 at www. Solution counts for the first few n are given below N 1 2 3 4 5 6 7 8 9 10 11 12 Unique 1 0 0 1 2 1 6 12 46 92 Total 1 0 0 2 10 4 40 92 The problem is discussed by Edouard Lucas , inventor of the Towers of Hanoi puzzle, in his book L'Arithmetique Amusante available online , in which he gives the nice table of the 12 basic solutions shown below. Over the years there have been many instantiations of this problem posed as mechanical puzzles.
Arrange the four squares such that in the resulting 8x8 grid, no two holes appear in the same row, column, or diagonal. The tiles may be flipped over and rotated. I have had this puzzle for a long time and it remains one of my favorites despite its simplicity. If you examine the 12 unique solutions to the 8 Queens puzzle and divide each into quadrants, you'll find that there are only six types of quadrants that each contain two queens. In the diagram at right I have labeled each quadrant type, regardless of rotation or reflection, assigning a letter A through F.
Two of the solutions, labeled VI and VIII by Lucas, have a single queen in two quadrants and three queens in the other two - I haven't labeled those quadrant types since they cannot be used in the Brain Drain puzzle. This table summarizes the use of the six quadrants in each of the relevant 10 solutions. Only one set - those from solution V, has no duplicate of a quadrant piece type, and has a unique solution. This is the Brain Drain set! The Frustr8tor From my friends at Puzzlemaster. The front side shows an 8x8 grid.
The back side has 8 tracks corresponding to the 8 columns of the grid. Along each track, each of the 8 row positions is marked by a number from 1 to 28 - some appear three times, some two.
One red and one green tab ride in each track - green at the top and red below. To try a puzzle, choose a number and set a red tab at every position marked by that number.
Then, using the green tabs in the remaining six columns, fill in the grid according to the usual rules - a dot appears in the grid on the front at the position where a tab is set. This vintage French boxed version called " Jeu des Manifestants " uses 8 tiles, and is available in two versions with either triangular or rectangular tiles.
For another version using battleships, see U. Patent - Reibstein Lots O Spots by Peterson - "an L. When the tile are arranged in a 4x4 grid, the quadrants define 8 rows and 8 columns. The spots come in three colors - red, purple, and green - and are distributed so that there are 8 of each color. In the hardest of four challenges, you must arrange the tiles in a 4x4 grid such that all rows, columns, main diagonals, and all short diagonals contain no more than one spot of each color.
This amounts to solving the 8 queens problem simultaneously for 3 colors of queens. The Schpotz puzzle by Peterson Games. Arrange the nine tiles in a 3x3 grid such that every row, column, and main diagonal contains exactly three spots. The objective is to arrange the eight pegs in the 8x8 grid so that no more than one peg is in any row, column, or diagonal. In addition, at least one peg must be in each of the five differently shaded areas - one of the areas is a single position at the lower right corner.
The cover shows a motorcycle gang - I think they're supposed to be "out of line. An 8x8 board, with inner nested 4x4 and 6x6 areas marked off. There seem to have been at least two different sets of instructions issued with this puzzle. The first two challenges cited on the first instructions, on the 4x4 and 6x6 grids, are easy since you can use more than 4 and 6 colors respectively. However, the 8x8 challenge amounts to superimposing 8 solutions of the 8 queens problem, and is impossible!
This puzzle is interesting because it requires superposition , and also because it seems to be one of those rare instances where prize money is offered for an impossible challenge. Think about the two main diagonals - all 16 spaces must be filled, but some reflection should convince you that each of the 8 colors must contribute exactly two pegs somewhere on the main diagonals - one on each. If a solution failed to contribute, that would mean two spaces on one diagonal would have to be filled by another color - which would violate the rules.
That means that the only usable solutions from the 12 are the six that have a queen on each of the main diagonals. But , each of those six solutions also has a queen on one of the penultimate corner squares. Since every possible rotation and reflection of any of those six solutions will also have a queen on a penultimate corner square, and there are only four such squares to go around, we cannot superimpose more than four solutions before we have a conflict!
I did more research into this puzzle and found that the superposition problem has been discussed by Martin Gardner in his book The Unexpected Hanging and Other Mathematical Diversions. Martin writes that " When the order of the board is not divisible by 2 or 3, it is possible to superimpose n solutions that completely fill all the cells.
Thus on the 5x5 one can place 25 queens - 5 each of 5 colors - such that no queen attacks another of the same color. In the Chapter 16 addendum, however, a reader points out a reference to a proof of the impossibility of the 8 color superposition, given by Thorold Gosset in the Messenger of Mathematics Vol.
The MoM is available online. Gosset's proof and mine are similar, but I think mine is more elegant: Of note is that only four of the superimposed six require a penultimate square - the other two do not - but not all main diagonals are filled. Now, can you find the superposition for 5 colors on a 5x5? This puzzle is called Orchard and is offered by the Australian company Dr. Wood in their Mind Challenge series - it is discontinued but I found a mint copy.
It poses another interesting superposition problem. You are given a board having an 8x8 grid of sockets, with a 2x2 house obstruction along the center of one side.
You are also given 40 trees, 10 of each of 4 types. You are to plant the trees in the grid such that each set of 10 forms 5 rows with 4 in each row. This type of problem is discussed by Prof. David Singmaster in his Sources in Recreational Mathematics in section 6. Singmaster defines a notation to describe the various related flavors of this type of problem: Singmaster does not point out the earliest appearance of this puzzle, but cites many examples in the puzzle literature.
The Orchard puzzle calls for a superposition on an 8x8 grid, with the obstruction, of 4x 10,5,4. Singmaster cites Dudeney's book Amusements in Mathematics available online for an example of a 10,5,4 problem, and notes that Dudeney describes six basic solutions.
Dudeney states that there are only six fundamental solutions to the problem of arranging 10 points in 5 rows of 4 each though each of the six patterns can be infinitely distorted depending on the overall underlying grid size , and he shows diagrams with names. Dudeney also gives the minimum grid size required to form each of the patterns: Only the Dart or the Funnel could be used on the 8x8 grid of the Orchard puzzle.
When four copies are superimposed, it turns out the points conflict with the house obstruction, so the Funnel shape cannot be used in the solution to the Orchard puzzle. The Dart shape can be stretched and moved around in the three configurations shown. The a and b versions also ultimately cause a conflict with the house. This is the solution to the Dr. The Pin and Dot puzzle - "Insert six pins, each in a separate dot, so that no two pins shall be on the same line.
I don't have this - shown for reference. The six-queens puzzle has only one unique solution. Since that solution is degree symmetric, it has only four rotations and reflections. I don't have these - shown for reference. Jeu des Sentinelles "A police chief represented by the red piece, with 7 sentinels represented by the white pieces, must position himself and his sentinels so that no man can see any of the other men along any straight vertical, horizontal, or diagonal line.
L'Intraitable - "The Intractable" Given a 6x6 grid and 24 tokens - six each of four colors, arrange the tokens on the grid so that no horizontal, vertical, or diagonal line contains more than one token of the same color.
This vintage French boxed puzzle is an instance of a superposition of four six-queens puzzles. The four rotations and reflections of the six-queens solution can be superimposed: L'Embarras du Brigadier and L'Embarras du Caporal Given a 5x7 grid of points and 12 men, arrange the men on the grid to form six rows with four men in each row. Both of these vintage French boxed puzzles are instances of, using Singmaster's notation, a 12,6,4 configuration problem.
There is a second solution see The Sociable , or Hoffmann , but it does not fit on the 5x7 grid. Note that some a,b,c configuration solutions rely on the trick of stacking more than one token at a given point. The Five-Queens puzzle has only two unique solutions.
The asymmetric solution has eight rotations and reflections. The symmetric solution has only two, giving a total of A selection of five can be superimposed. Thanks very much, Dave! Arrange the five layers so that the five numbers appearing in each of the 16 radial columns total With the base plate and four additional movable disks, there are 65, combinations to try! This "SafeCracker" type of puzzle was the subject of U. But, see below for versions with earlier dates The Davidson patent seems to have been applied to the " Great Burglar Puzzle " which requires columns to total I obtained the example shown here.
You can see the reference to the patent near the center. Here is an image of another copy showing an envelope the puzzle evidently came in.
I don't have this. Unfortunately I could not find a patent pertaining to the puzzle. While the USPTO website does allow searching for applications as opposed to granted patents , the database only contains records from onwards.
The USPTO allows one to search for granted patents from through but only by issue date, patent number, and current U. For reference, here are several more vintage "SafeCracker"-type puzzles I don't have these: It was manufactured by the Geiger Bros.
They can be found under classification section 1. I don't know what is on the back of the Leinbach puzzle another sum-to type or the " Safe Combination Puzzle " make all 12 columns sum to 55 , but their fronts display no dates. The Hecker's puzzle says "Pat. The Steinfeld puzzle says "Pat. June 20th, " - with a bit of research I found that the patent in question is US issued to William H.
Reiff of Philadelphia on June 20, That makes this the oldest version as far as I know. Dave at Creative Crafthouse has brought back the puzzle and issued the Word Wheel. Thanks for the copy, Dave!
Sometimes the additional restriction of disallowing a repeated symbol along either main diagonal is also added. See Terry Ritter's page, Latin Squares: A Literature Survey for a nice collection of facts and terminology about Latin Squares.
Also see a nice article by Elaine Young. Leonard Euler studied Latin Squares in the late eighteenth century, and research into them has continued, not simply because of their use as puzzles, but more for their application to experimental designs and cryptography. The enumeration of Latin Squares has not been easy - figures up to order 10 are summarized in the table below.
A reduced or standard Latin Square is one where the symbols in the first row and the first column are in lexicographical order. Given the number of reduced squares, R n , the number of distinct squares L n is: In , in Discrete Mathematics , J. Wei published a formula for the number of Latin Squares of any order. It is non-trivial to specify.
Arrange the pieces 7 each of a Hippo, Lion, Elephant, Rhino, Giraffe, Zebra, and Tree so that only one of each appears in each row and column. It comes as a single 5x5 plastic sheet, scored with grooves along which you are to break apart the pieces.
Each square is one of five colors - yellow, red, blue, green, or white. The unbroken sheet shows the solution - this is a Latin Square puzzle and in the grid, no color occurs more than once in each row or column. There are nine pieces - two are 1x2, seven are 1x3. Bird's Puzzle , by Chad Valley. The Bird's Puzzle is very similar to the More Madness puzzle. There are nine pieces, two 1x2 and seven 1x3, colored with five colors - yellow, red, blue, green, and a Bird's logo - to be arranged into a 5x5 grid such that no color appears more than once in each row and column.
A vintage French boxed puzzle called Les An order-5 Latin Square. Testa Cross Colour Same as Bird's. A vintage cardboard advertising puzzle, "Say Cheese Louder. I have highlighted the scored lines separating the pieces. Form a 9x9 Latin Square using the pieces made from colored woods.
Utopia issued by Popular Playthings invented by Sjaak Griffioen Sixteen "buildings" - four each of four different heights. Place on the 4x4 grid according to rules and hints given on 50 challenge cards divided into 25 Phase 1 and 25 Phase 2. I enjoyed Phase 1 but Phase 2 seems overly confusing. Setko Scramble Arrange the pegs so that no row, column, or main diagonal contains a duplicate letter, and so that "SETKO" is not spelled in any line.
Graeco-Latin Squares A Graeco-Latin or Greco-Latin Square also known as an Euler Square is constructed by superimposing two Latin Squares having the same order but different sets of symbols usually designated by using Latin letters for one of the squares' symbols and Greek letters for the other, hence the name Greco-Latin , such that each combination of symbols one from each Latin square occurs only once in the superposition.
Euler demonstrated methods for constructing Graeco-Latin Squares when N is odd or a multiple of 4. The Thirty-six Officers Problem goes as follows: Note that there are no diagonal restrictions. Rob Beezer shows a nice colorful order 10 square on his web page.
Since in such a superposition, the Latin Squares used cannot both be standard, a Greco-Latin Square in standard form is one where the first Latin Square is standard, and the second has only its first row in lexicographical order.
They must be arranged in a 4x4 grid such that no two with the same feature appear in any row, column, or main diagonal. Sometimes it is prohibited to have a repeated symbol among the four corners of the square, or among the four central cells see " Play Thinks" There is only one order 4 Graeco-Latin Square in reduced form, but it does not meet these additional constraints.
But by permuting rows, you can arrive at my solution for an order 4 Graeco-Latin Square that meets all those conditions: This is a Graeco-Latin Square puzzle. Place the blocks in the box so that no two of the same number nor of the same color are in any of the 10 horizontal, vertical, or diagonal lines. Remove one of the 4's, then, by sliding them about, arrange them in horizontal rows, each of a different color, and in the order of 1,2,3,4.
The fourth or bottom row should be 1,2,3. After completing the second, slide them about again to arrange them as in second, but in a vertical position. Brain Strain An advertising puzzle consists of sixteen small playing cards - the Jack, Queen, King, and Ace in each suit. As with any Graeco-Latin square puzzle, the objective is to arrange the pieces in a square grid so that neither of the two kinds of feature in this case, face value and suit appears more than once in each row, column, or main diagonal.
This puzzle was first proposed by Jacques Ozanam. Quintessence Copyright by gametime, Inc. The objective is to arrange them in a 4x4 grid such that rows, columns, and main diagonals contain cars of all different models and colors, and the sum of license numbers is 34 in all rows and columns and the four corners, the four centers, and each group of four in a corner!
The 36 Cube - Thinkfun Presented as a 6x6 Graeco-Latin Square - in this case, one feature is the height of the tower, the other is its color. The usual rules would seem to apply. However, remember the proof that no Graeco-Latin Squares exist for order 6?