PUZZLES of LEONID MOCHALOV
Labyrinth-number, polyominos and greek-logic
To solve these inventive brainteasers, your brain has to be in tip-top shape. Warm up with some (slightly) easier puzzles: beginning in the left corner of a box with grids, try to reach the bottom right square. You may pass only through the left and right sides of small squares, but not through their top or bottom. And you can't go through the black squares at all. Another challenge involves four dice, all stacked up. Can you find a pattern that lets you figure out how many pips are on the base side? Arrange the "magical dominoes" precisely and mathematically; do the equations to figure out how. There are also unusual card tricks, "cut-it" puzzles that involve reconstructing figures that have been broken up, and three-dimensional conundrums. As you work each one out, you'll feel yourself getting smarter every minute.
The puzzle consists of eight contrasting painted cubes - white and black. The unrolling cubes are given in the drawing. It is possible to stick the cubes of strong paper or to take wooden cubes and to paint (or to paste over with a paper) their sides.
It is necessary to collect a cube 2x2x2 with "chess" colouring of each side using eight cubes, as shown in the drawing. Thus the following condition must be observed: it is possible to put cubes to each other only with equally painted sides.
Color icosahedron .
30 equilateral triangles have three colors and a hinge.
They are fixed on the frame ikosadra and directed to the center.
Turns triangles of the icosahedron are painted in color.
Burr with a hole
On the outer side of the wheel box.
The wheel spins and falls in cycles.
First clockwise and then back again in a clockwise further.
Hairpin smooth on both sides.
Pin inside the sleeve.
How to remove it?
Bad square - a good square.
Cube from bars
Stacking of a prism (1/2 & 1/4)
The name says it all, Leonid created this awesome puzzle with all the hooks to keep you puzzled.
OSM Ball wooden interlocking puzzle on Stand osm is the Czech word for 8. An 8 piece interlocking wooden ball puzzle on a turned wooden stand which will really challenge your dexterity skills.
Adapted from the cube shaped Bar Puzzle designed by Leonid Mochalov (a prolific Russian puzzle designer in his own right) by Jakub Dvorak in 2008, this complex interlocking puzzle is much more difficult than the Egg puzzle and has a unique solution. Precise positioning of fingers from both hands may be required to take the puzzle apart and then you still have the challenge to reassemble it paying particular attention to colour uniformity.
Each puzzle piece is made from many smaller complex shaped pieces glued together; finding the correct combination that are not glued, to push or pull to take apart, may be quite difficult.
Interestingly, the puzzle was designed first by a Russian, made by a Czech, named by a German (Bernhard Schweitzer), and is now being sold by an Australian; a truly international effort!
The designer of "Butterfly"
Mini cage 2
Unit of "flat" elements
Cube-8 and Ball-8
This awesome puzzle is based on Leonid's Cube design modified into a sphere by the very talented Pelikan Craftsmen.
The skill and craftmanship of the Pelikan Workshop is proudly displayed in this outstanding piece.
Kevin Sadler wrote about it: "The Mochalov ball is based on the original Cube 8 puzzle designed by the prolific Russian puzzle designer and craftsman Leonid Mochalov. Made of 8 beautifully finished pieces of wood and fashioned into perfect sphere, the challenge is to find the first piece to be removed. After that the disassembly is straightforward. It is a delight to see how perfectly each piece fits together. This one is so beautiful that Mrs S let it sit on display in the living room next to the companion Convolution ball - both have equally beautiful stands to stop them rolling away."
Chess piece on a field
On a game field consisting of 25 checks and two partitions, there are 20 chess pieces: 10 chess pieces of one colour and 10 chess pieces of the other colour. For one move it is possible to move any chess piece on any free check using free checks. How many movies least should be made to change the places of chess pieces of different colours
Tigers in a trap
In a square box 5x5 there are 24 bars 1x1 (the place of one bar is free). On four bars the guards are drawn, on the other four bars the tigers are drawn, on sixteen bars pieces of a lattice are drawn.
In an initial position the tigers are in a trap, the guards are outside of a trap (there is an empty place it the centre of a box). Moving bars to the center of a box, it is possible to let out tigers, and to hide guards in a trap. How can you do it? How many bar moves least is required for this?
Do you think it is possible to give back one guard to tigers?
Mini cube windows
Squareword puzzle is played on a square which is divided into cells with words written in them.Most of the cells are empty to begin with. The task is to fill the empty cells with the available letters, so that in each vertical and horizontal row, and on the two big diagonals of the square, the letters are different.
Flash game squareword
Beginning with the square in the upper left corner, try to find a path to the bottom right corner that passes through every whire square only once. You may move horizontally and vertically, but not diagonally, and passing through black squares is forbidden. Moving horizontally and vertically, but not diagonally, you must pass through each square once (except for the two exceptions below). Your path may not cross itself, and must form a complete loop, ending where you began.
You connot enter squares marked with an X.
You must enter squares with a diagonal line twice, but you may not cross the line.
You may move through squares with a diagonal T-shape only once, and only through the “free” half.Again, you may not cross the lines.
Let us try to solve the sample puzzle.
First of all, taking the rules into accountt, mark the parts of the route that already have conditions. The grid now looks like this:
So how do you the path through the rest of the squares?
Cut the remaining figure into parts and make another square from them, using as few pieces as possible.
Beginning with the square in the upper left corner, try to find a path to the bottom right corner that passes through every whire square only once. You may move horizontally and vertically, but not diagonally, and passing through black squares is forbidden.
Using all 28 dominoes, make the word “PLAN” as indicated, so that:
The sums of the dots in all four letters afe equal.
The tiles are positioned according the rules of dominoes (with adjacent domino halves matching).
Take the whole set of dominoes without the 0:0 tile. Considering the other tiles as fractions, situare them as shown in the picture. The sum of each row must equal the number of tiles in the row.
Pentamino and stars
Tetramino and points
The numerical pattern on the diagram is nothing but 28 domino tiles, creating a 7 x 8 rectangle consisting of 56 squares. Every tile occupies two squares. The borders of the tiles are not shown.
Route and polimino
Odd and even
In this problem, E represents even numbers and O represents odd numbers. Try to reconstruct the equation.
Route of a chess horse
Enter single-digit numbers into the squares of the capter so that all the equations are correct.
In the following rebuses some digits are represented by letters. Within an equation, the same letters represent the same dugits. The blanks hide the rest of the digits in the equation, including some that are encrypted by letters. Numbers never begin with zero.
Squares and circles
Every instance of one number in this multiplication problem has been replaced with a square. The rest have been replaced with circles. Reconstruct the problem.
The square made of stones
Nine numbered stones are positioned as shown:
What is the smallest number of stones that can be removed to leave a number that is the square of whole number? Which stones must be removed?
Place a number in each square so each of the horizontal and vertical rows of squares contains a different square number.
Cross number 2
The lonely eight
The multiplicand and product of this equation consist of nine figures from 1 to 9. Try to reconstruct the equation.
Fill the parquet with numbers from 1 to 9 (numbers may be repeated as often as necessary). You must meet the following conditions:
The sum of the four numbers on the outside of each square must equal the number in the center.
The four numbers outbers outside each square must each be different and must ascend clockwise.
Connect dots with the same numbers by drawing lines between them, observing the following conditions:
The lines must follow the grid, though they may make any number of turns.
The lines may not intersect, nor may they touch the outer edge of the grid.
The lines must be of the same length.
All lines must be as long as possible.
There are 25 tiles shown in the picture. Place the tiles in a 5 x 5 square so that they create a closed loop. Then try to make such a pattern in a 4 x 4 square, usung only 16 of the 25 tiles.
Figures go one after another
Cube Exotic 2
Cube Exotic 3
3D games Taken
The elements of a puzzle are the cube 3x3x3 (A) and cubes of the same size. In there angular part parallelepipeds are cut out: 1x1x1 (B), 1x1x2 (C), 1x2x2 (D) and 2x2x2 (E).
The task 1. From elements of a puzzle collect a cube so that the small cube (A) is hidden inside the large cube.
The task 2. Collect the large cube with the beforehand chosen element inside.
The task 3. Scatter cubes on a table, choose any element of a puzzle and fix it in space, and then hide it inside the collected cube. Use for collecting of a "shell" remained elements.
20 triangular pyramids is the icosahedron.
Remove the two pyramids.
We place the 18 pyramids in a transparent sphere.
Got 3D TAKEN. WOW!
Taken 3D 2
Inside the transparent sphere is a ball.
18 triangular plates is incomplete surface icosahedron.
Turn the ball collect colored layers.
Save the earth.
Inside the hollow sphere maze.
The length of the tube is the Earth's axis.
Spin the ball and put axle into place.
Inside the hollow sphere maze.
On the web, there are LEDs and the battery.
Spin the globe and close contact.
Light stars in the universe.
This is a game for two or more players that uses twelve pieces – geometrical shapes, each with a descriptive name.
Every shape is made of six equilateral triangles. Such pieces are called triangular hexominoes. They have the following names: 1) hexagon, 2) obtuse angle, 3) acute angle, 4) parallelogram, 5) spool, 6) ship, 7) pipe, 8) hook, 9) comb, 10) mountain, 11 ) gun, and 12) snake. The hexagon is used only at the end of the game.
Once the players have decided who will go first, the first players takes any piece (except the hexagon) and puts it on the table. Subsequent players take the other pieces and put them on the table one by one (rotating or flipping them over if they wish). Players must join pieces to the pieces already on the table in such a way that their edges share exactly three units (one unit is the length of one side of any of the triangles that make up the pieces). If a players is unable to position any of the remaining figures, he may remove any one piece on the edge of the shape being built and place it elsewhere. The piece removed must be placed in its new position according to the usual rule of placement. When all the figures are on the table, players take turns moving the pieces from place to place, repositioning them.
The object is to create a condition where it is a legal move to place the hexagon. The player who creates such a condition gets an extra turn to place the hexagon and is the winner.
The picture shows one possible game (perhaps the shortest one). The numbers in the picture are not the numbers of the pieces, but indicate the order in which the pieces were played.