# Puzzles

## Luca's Cube - 8, 27 or 64 3D puzzle

 How to generate the pieces

Luca's Cube is made by eight pieces of the same volume but having different shapes.

The pieces are generated from a cube by detaching a prism and then gluing it back in different positions.

## SuperCube - a 64 pieces 3D puzzle

 How to generate the pieces

SuperCube is made by eight pieces with same volume but different shapes.

The pieces are generated from a cube by detaching a prism and then glued in different positions.

A very simple cutting method can generate 116 pieces. This enables the building of 3D Puzzles with 27, 64 or more differently shaped pieces of the same volume. The pieces can be made of wood or plastic.

## How to design a 3D puzzle

This is the very first stage in designing Radut's Cube.

Never thinking, only trying :-)

## Radut's Cube - wooden version

Radut's Cube is a superb puzzle handcrafted in a combination of cherry and beech wood. The case is oak finished with beeswax.

The box contains:
- eight wooden polyhedral pieces;
- one solution booklet;
- genuine product certificate;
- twelve months warranty;
- puzzle specifications & maintenance.

 Radut's Cube Partial solved puzzle Box Solution Correct Solution Possible Solution Possible Solution

## Radut's Cube, the missing link between Soma Cube and Rubik's Bricks

 Radut's Cube is the missing link between Soma Cube and Rubik's Bricks. The puzzle uses eight pieces each of two colors, and having the same volume but different shapes and pairs of colors. Two of the pieces have the same shape but different colors. The pieces are generated from a cube by detaching a 1/8 cube (or a prism) and then gluing it back in a different position. How to generate the pieces

## Hot Puzzles - Puzzles involving different kinds of tessellation (tilings)

The puzzles below involve different kinds of tessellation (tilings). The pieces are made from a number of triangles. All the pieces in a set have the same area, are numbered, and may be used with either face uppermost.

The unique design dictates that no solution has any piece plus position in common with another solution. This make it possible to organize fair contests.

## Hexa Puzzle - Thousands of problems are possible

 Hexa set

Hexa uses a puzzle set of twelve pieces, each comprising six equilateral triangles uniquely positioned. The puzzle uses only some of the pieces (5 or 9) from the full set depending of the chosen board.

The pieces may be played with either face uppermost, and the different shapes are labeled from 1 to 12. You can experience Hexa online version here.

The puzzle board has a special design and is made by a small green board for a low level of difficulty level (5 pieces) and an orange one for a higher level of difficulty (9 pieces). Other kinds of board are possible but the ideal boards are for 5 and 9 pieces.

The unique design dictates that no solution has any piece plus position in common with another solution. For reference, each row of triangles is numbered and each triangle in a row is labelled with a letter.

## Florian's Fishes

Florian's Fishes is a puzzle in which each piece comprises two squares plus four equilateral triangles. This puzzle uses the full set of 49 distinct pieces.

In other tessellations (tilings) of the plane, mathematical methods can be applied in helping to derive solutions. This does not appear to be the case for solving Florian's Fishes, which probably demands trial and error methods. This kind of puzzle can be quite challenging for experienced puzzlers.

The puzzle board looks like an ocean (blue) with a dolphin and two fishes.

## Dolphy Puzzle

 Dolphy puzzle is a variant of Florian's Fishes in which pieces comprise two squares plus four equilateral triangles. This puzzle use only six pieces from the full set of 49 pieces which covers all possible arrangements. In all other tessellations (tilings) of the plane, mathematical methods can be applied in helping to derive solutions. This is not true for Dolphy puzzle which relies entirely on trial and error. This kind of puzzle can be quite challenging, even for children. Do not use computers! This does not make any sense.

## Mechanical Puzzles

Mechanical puzzles are those with moveable, though constrained, objects ...

Logic Cube with Balls (Falling Marbles) is one of the most simple mechanical puzzles known. The puzzle is a transparent cube containing 26 balls. There is an empty space (the place of the missing ball), which makes it possible to roll the balls inside the cube.

4x4x4 Logic Cube is a far more daunting challenge than the 3x3x3 cube. The number of pieces is far greater, and there are no "fixed" pieces to serve as a reference.

These puzzles are a challenge for anyone!