Minus Cube
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The Minus Cube (aka BLOXBOX by Piet Hein; aka Varikon Box) is a 3D
mechanical Mechanical may refer to: Machine * Machine (mechanical), a system of mechanisms that shape the actuator input to achieve a specific application of output forces and movement * Mechanical calculator, a device used to perform the basic operations o ...
variant of the ''n''-puzzle, which was manufactured in the
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. It consists of a bonded transparent
plastic Plastics are a wide range of synthetic polymers, synthetic or Semisynthesis, semisynthetic materials composed primarily of Polymer, polymers. Their defining characteristic, Plasticity (physics), plasticity, allows them to be Injection moulding ...
box containing seven small cubes, each glued together from two U-shape parts: one white and one coloured. The length of one side of the interior of the box is slightly more than twice the length of the side of a small cube. There is an empty space for one small cube inside the box, and the small cubes are moveable inside the box by tilting the box, causing a cube to fall into the space. The goal of the puzzle is to shuffle the cubes in such a way that on each side of the box, all of the faces of the small cubes have the same color. There were two types of Minus Cubes manufactured: the so-called "
Moscow Moscow is the Capital city, capital and List of cities and towns in Russia by population, largest city of Russia, standing on the Moskva (river), Moskva River in Central Russia. It has a population estimated at over 13 million residents with ...
Minus Cube" (red–white) and " Sverdlovsk Minus Cube" (blue–white), each named after the cities in which they were produced. They differed only in the orientation of one of the small cubes. Because of this difference, there are 12 times as many "solved" arrangements for the Moscow Minus Cube, and thus the Sverdlovsk Minus Cube is 12 times as difficult to solve. However, if one does not confine oneself to these two types of the Minus Cube, there are 48 Minus Cube variants that can be solved.


See also

*
15 puzzle The 15 puzzle (also called Gem Puzzle, Boss Puzzle, Game of Fifteen, Mystic Square and more) is a sliding puzzle. It has 15 square tiles numbered 1 to 15 in a frame that is 4 tile positions high and 4 tile positions wide, with one unoccupied pos ...
*
Combination puzzle In mathematics, a combination is a selection of items from a set (mathematics), set that has distinct members, such that the order of selection does not matter (unlike permutations). For example, given three fruits, say an apple, an orange and a ...
*
Mechanical puzzle A mechanical puzzle is a puzzle presented as a set of mechanically interlinked pieces in which the solution is to manipulate the whole object or parts of it. While puzzles of this type have been in use by humanity as early as the 3rd century BC ...


References


An article on the Minus Cube
in Kvant magazine 1988, № 6, p. 66.
arXiv.org > math > arXiv:2006.01296 Algebraic Structure of the Varikon Box Jason d'Eon, Chrystopher L. Nehaniv


External links

* {{cite web , url=http://www.jaapsch.net/puzzles/varikon2.htm , title=Varikon Box 2×2×2 / The Minus Cube , publisher=Jaap , accessdate=2016-01-13
^MinusCube
open-source
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implementation of the Minus Cube in
Rec Room A recreation room (also known as a rec room, rumpus room, play room, playroom, games room, or ruckus room) is a room used for a variety of purposes, such as parties, games and other everyday or casual activities. The term ''recreation room'' is m ...
Combination puzzles Mechanical puzzles Soviet brands