A Rubik's Snake (also Rubik's Twist, Rubik's Transformable Snake, Rubik’s Snake Puzzle) is a

toy A toy or plaything is an object that is used primarily to provide entertainment. Simple examples include toy blocks, board games, and dolls. Toys are often designed for use by children, although many are designed specifically for adults and pet ...

with 24 wedges that are right isosceles

triangular prism In geometry, a triangular prism is a three-sided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides. A right triangular prism has rectangular sides, otherwise it is ''oblique''. A ...

s. The wedges are connected by spring bolts, so that they can be twisted, but not separated. By being twisted, the Rubik's Snake can be made to resemble a wide variety of objects, animals, or geometric shapes. Its "ball" shape in its packaging is a non-uniform concave

rhombicuboctahedron In geometry, the rhombicuboctahedron, or small rhombicuboctahedron, is a polyhedron with eight triangular, six square, and twelve rectangular faces. There are 24 identical vertices, with one triangle, one square, and two rectangles meeting at ea ...

. The snake was invented by

Ernő Rubik Ernő Rubik (; born 13 July 1944) commonly known by his nickname, "Little Man", is a Hungarian inventor, architect and professor of architecture. He is best known for the invention of mechanical puzzles including the Rubik's Cube (1974), Rubi ...

, better known as the inventor of the Rubik's Cube. Rubik's Snake was released during 1981 at the height of the Rubik's Cube craze. According to

: "The snake is not a problem to be solved; it offers infinite possibilities of combination. It is a tool to test out ideas of shape in space. Speaking theoretically, the number of the snake's combinations is limited. But speaking practically, that number is limitless, and a lifetime is not sufficient to realize all of its possibilities." Other manufacturers have produced versions with more pieces than the original.

Structure

The 24 prisms are aligned in row with an alternating orientation (normal and upside down). Each prism can adopt 4 different positions, each with an offset of 90°. Usually the prisms have alternating colors.

Notation

Twisting instructions

The steps needed to make an arbitrary shape or figure can be described in a number of ways. One common starting configuration is a straight bar with alternating upper and lower prisms, with the rectangular faces facing up and down, and the triangular faces facing towards the player. The 12 lower prisms are numbered 1 through 12 starting from the left, with the left and the right sloping faces of these prisms are labeled L and R respectively. The last of the upper prisms is on the right, so the L face of prism 1 does not have an adjacent prism. The four possible positions of the adjacent prism on each L and R sloping face are numbered 0, 1, 2 and 3 (representing the number of twists between the bottom prism and the L or R adjacent prism). Numbering is based on always twisting the adjacent prism so it swings towards the player: position 1 turns the adjacent blocks towards them, position 2 makes a 90° turn, and position 3 turns the adjacent block away from the player. Position 0 is the starting position, therefore it is not explicitly noted in step-by-step instructions. Using these rules, a twist can be simply described as: # Number of the downward-facing prism (from the left): 1 to 12 # Left or right sloping side of the prism: L or R # Position of the twist: 1, 2 or 3

Machine processing

The position of the 23 turning areas can also be written directly after each other. Here the positions 0, 1, 2 and 3 are always based on the degrees of twist between the right-hand prisms relative to the left-hand prism, when viewed from the right of the axis of rotation. However, this notation is impractical for human readers, because it is difficult to determine the order of the twists.

Fiore method

Rather than numbers, Albert Fiore uses letters to refer to the direction the second (rightward) section is turned in relation to the first (leftward) section: D, L, U, and R. These are listed consecutively rather than numbered, so that a completely straight figure rather than being presumed as a starting point is notated DDDDDDDDDDDDDDDDDDDDDDD.

Mathematical formulation

The number of different shapes of the Rubik's Snake is at most 4²³ = (⁠ ⁠≈⁠ ⁠7×10¹³ or 70trillion), i.e. 23 turning areas with 4 positions each. The real number of different shapes is lower, since some configurations are spatially impossible (because they would require multiple prisms to occupy the same region of space). Peter Aylett computed by an exhaustive search that (≈ 1.3×10¹³ or 13 Trillion) positions are possible when prohibiting prism collisions, or passing through a collision to reach another position; or (≈ 6.7×10¹²) when mirror images (defined as the same sequence of turns, but from the other end of the snake) are counted as the one position, and likewise for rotational symmetries in loops (where the sequence of turns in a loop is cycled).

References

* /

External links

*
Rubiks Snake Fansite, collection of shapes and figures of Rubik's Snake

glsnake
- open-source cross-platform implementation of Rubik's Snake (also ported to

XScreenSaver XScreenSaver is a free and open-source collection of 240+ screensavers for Unix, macOS, iOS and Android operating systems. It was created by Jamie Zawinski in 1992 and is still maintained by him, with new releases coming out several times ...

)
^RecbixSnake
- open-source cross-platform implementation of Rubik's Snake 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 c ...

's visual programming language “Circuits” {{Rubik's Cube 1980s toys Mechanical puzzles Combination puzzles Hungarian inventions Novelty items