Black and White marble Quintex

Marbled white and black makes a complete set for those who acquires green yellow orange and red cubes and would like to have the complete game. Even if it seem possible to build a 3x3x3 cube with the whites parts there is no such solution. It’s funny to try little to get conviction, but the no solution is demonstrated. Black parts are too long to fit in 3x3x3. However it’s possible to mix both and get a 5x5x2 block.

Material:

• 12 parts:

o One 1 unit cube part

o One 2 unit cubes part

o One 4 unit cubes part

o Nine 5 unit cube part

Goal:

Build a 5x5x2  block 

Principle:

Try again and again as methodically as possible to avoid try always the same idea. There must be a solution since the puzzle come assembled.  

White color parts seem to makes a 3x3x3 cube, but they cannot however they can be included in multicolor 3x3x3 cube.

2 Quintex cubes (including seemed white one) gives 252 different problems. Just need to randomly choose 5 big parts. 3 cubes gives 3003 problems. 4 cubes gives 15504 problems and 5 cubes gives 53 130 problems.

Benefit:

Memory is particularly solicited to solve that classical kind of puzzle. Need to remember what is already try or not. Originality is also involved to try “unnatural” solutions.

Finally The Quintex added value is in the no solutions problems. Some thousands of the 53 130 availables problems have no solution. As in real life recognize what is impossible give opportunity to go further.