RUBIK SNAKE-MEDIUM.doc
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MEDIUM
Pitti1R1-2L2-3R2-5L2-6R3-7L2-7R1-9L2-10R2-12L2-12R3
Speedboat 12R1-4L1-6R1-5L3-4R2-7L2-7R3-9L1-9R2-10L3-11R3
Small ship1R3-2R1-3L1-4L1-5R1-6L1-4R1-7R3-8R1-9L1-10L1-12L1-11R1-10R1
Compact 1 1R3-3L2-4R3-3R2-5R1-5L2-6R3-7L2-7R3-6L2-8R1-8L2-9R3-11L2-12R1-9L2
Snowman2L2-2R2-3R2-4L2-6L2-6R2-7R2-8L2-10L2-11R2-10R2-12L2
Compact 21R2-2L3-3R3-4R3-4L2-5L2-5R1-6L2-6R3-9L3-11R2-12L2-10L1-9R2
Leaf2L3-3L1-2R2-4L3-5L1-4R2-6L1-7L2-7R2-9L1-10L1-11R2
Mask1R1-2R1-5L1-6L1-7R1-8L2-9L2-10R2-6R1-12L1-11R2
row houses1R3-2R1-2L2-3R3-4R3-4L2-3L2-5R1-5L2-6R1-6L2-7R3-7L2-8R3-8L2-9R1-9L2-10R1-10L2-11R3-11L2-12R2-12L2
Doubled11R3-12R3-12L2-11L3-10L3-10R2-9R3-8R3-9L2-8L3-7R1-6R1-5R1-6L2-4R1-5L2-4L1-3L1-2R1-1R1-2L2-3R2
Doubled, version 1Doubled, than: 8L0
Doubled, version 2Doubled, than: 8L1-6L3
Symmetry1R1-2R3-3L3-3R3-4R3-5L3-5R3-6R1-7R3-7L2-8R1-9L1-9R1-10R1-12R3-11R1-11L1
Pod Racer4R2-5L2-6L1-1R3-2L2-3L1-6R1-8L1-7R3-7L2-9L3-8R2-10R1-12L2-11L2-10L2
Slide1R1-2L1-2R1-3L1-4L3-4R3-5L3-5R2-7L2-8R2-9R1-9L1-10L1-12R3-12L3-11R3-11L3
Ostrich2R2-3L2-4L3-5L2-5R2-6R2-7L2-8L1-9L2-9R2-12R2
Obelisk12R1-11R1-12L2-10R3-10L2-11L2-8L2-7R2-5R2-5L3-1R1-2L1-3L1-4L1-2R2-3R2-4R2
Up and Down1R1-2L2-3L2-4L2-5L2-6L2-6R3-7R1-8L2-9L2-10L2-11L2-12L2-12R3-7L2
Ribbon Windwh Windwh
2L2-3L2-3R2-5L1-4R2-5R3-6L3-7R1-7L3-6R3-8L2-8R3-9L1-9R1-10R1-11L3-11R2-10L1-12R2
eel (from top)1R1-2R3-2L2-4L3-3R2-4R1-5R3-5L2-6R2-7L3-7R1-8R3-8L2-9R2-10L3-10R1-11R3-11L2-12R2
eel (from down)wie Windrad (oben)
Roofed1R1-3L1-2R2-4L2-6R3-5L3-5R2-7R1-9L1-8R2-11L3-12R3-11R2-10L2-7L2
Transport10R2-10L2-8L2-7R2-5R2-5L2-2R2
Speedboat 21R3-3L3-2R2-3R3-4L1-5L3-4R1-5R1-6R3-7R1-7L2-8R3-9L1-9R3-10L3-11L1-11R2-10R1-12R1
Furby (designed by Tine)1R2-
Microscope7L2-6L2-5R2-4L2-3L3-2R2-
Top1R2-2L1-2R3-3R3-3L2-5L3-5R3-
2R3-3R1-3L2-4R2-5L2-6L2-6R2-8L2-9L3-10L1-9R2-11L2-12R2
7R2-8R2-10L1-9L2-10R2-12R2-12L1
6R1-7L3-7R3-6L2-8L3-9L1-8R3-10L3-9R2-11R1-12L2-11L3-10R2
Mushroom2R3-2L2-4L3-4R3-5R1-6L3-6R3-5L2-7L3-8L1-7R3-9L3-8R2-9R2-10R3-11R2-12L2
Upright1R3-3R3-3L2-4L1-4R1-5L1-6L1-6R3-8L3-7R1-7L2-9L3-10R1-9R3-10L3-12R1-11L2
Tapering2R1-3L1-4L1-3R2-6R3-5R2-5L2-7R1-7L2-8R2-9L2-10L3-11R3-11L3-10R2
Tapering - turnedtapering, than: 7L0
Two slants1R2-2L2-3L2-3R2-5L2-6L1-7L1-6R2-8L3-9L3-8R2-7R2-9R3-10R3-10L2-11R1-12R3-
Waterfall (designed by Tine and Kathleen)1R1-2R3-4R3-3R1-3L2-6R3-5R1-5L2-8R3-7R1-7L2-
12L2-11L2
10R3-9R1-9L2-12R3-11R1-11L2
Viaduct6L3-5L1-4R2-5R2-1R1-2R1-2L2-6R2-8R1-8L2-9R3-10L2-9L2-11R2-12L3
Embrace2L2-4L1-3R2-5L3-5R2-4R2-6R3-7R3-7L2-8R1-9R1-9L2-8L2-12L3-11L1-12R2-11R2-10R2
Ra1R2-2L3-2R1-3L3-4L3-4R3-5L1-5R1-3R3-6L1-7L3-6R1-8L1-8R3-7R2-9L3-10L3-10R1-11L1-9R3-11R1-12R3-12L1
Window to the world2L2-3R2-4R3-5R1-5L2-6R2-8L2-10R3-9R2-12R2-11R1-11L2
Compact 32L2-3L2-3R2-4R3-5R1-6R2-7L2-8L2-5L2-10R3-9L2-9R2-12R2-11R1-11L2
Mountain2L3-2R3-3R1-4L3-3L2-5L1-5R1-4R2-6R3-7R1-8R3-9L3-10L1-10R3-9R2-7L2-11R1-11L2-
12L1
Platform12L1-11R1-10R3-10L1-11L2-9L3-9R2-7R1-8R3-7L2-6L2-5R2-1R2-4L2
Gate2L2-2R2-3R1-4R1-4L2-5L3-6L1-5R2-6R3-7R3-7L2-8R2-9L2-10L3-11R2
Grotto2R3-3R1-4L2-3L2-5L1-5R1-6L1-7L2-7R2-8R1-9L1-9R1-11L1-10R2-12L3-11R2
Heart ...12R2-12L1-11L1-11R2-10R1-10L3-9L2-8L1-7R3-7L3-6L3-6R2-5R2-3R3-2R1-3L2
Revelation2R2-4R3-4L2-5R1-5L3-6L3-6R3-7L1-7R1-8L3-9L1-8R3-9R3-10L3-10R2-12L2
Square hole 1R2-2R2-4L2-5R2-4R2-7L2-8R2-9R2-10L2-11R2-12R2
Flat on the top
Three-legged
Compact 4
11R2-12L2-10L3-10R2-9L3-8R3-7R1-7L3-8L2-6L1-6R2-5R1-4R1-1R2-3L2
2L2-3L3-4L3-5L1-6L3-4R2-6R3-7R1-9R1-8R3-8L2-10L1-11L3-12L1-11R2
1R2-2L3-3R2-5R2-7L3-6R2-8L1-7R2-5L2-8R2-9R2-10L2-11R2
Noname2L3-3L3-2R2-4L1-3R2-5L3-4R2-6L2-6R2-7R2-8R1-9R3-8L2-9L2-10R3-10L2-11R2
Shelter2L2-3R2-6L1-6R1-7L3-7R3-8L3-9L1-8R3-9R1-10L1-11L3-10R1-11R3
Cactus6R2-7L2-8L1-9L3-8R2-11L1-10R2-12L3-11R2-5R1-4R3-5L2-3L2-2R1-1R3-2L2
Two wings2L1-3L2-3R2-4R2-5L2-6L2-6R2-7R1-8R3-9R1-10R3-11L3-9L2-12R2-
Kink2L2-2R2-3R2-4R2-5L2-6R3-7R1-7L2-9L2-10R2-9R2-11R2-12L2
Rocket2L1-3L3-4L3-5L1-6L3-4R2-7L1-6R2-8L3-9L1-8R2-11L3-10L1-12R2-12L1
12L1
DNA strand1R1-2R1-2L2-3R1-3L2-4R1-4L2-5R1-5L2-6R1-6L2-7R1-7L2-8R1-8L2-9R1-9L2-10R1-10L2-11R1-11L2-12R1-12L2
Dogface2R2-3L2-4L3-4R1-5L1-5R2-6R2-7L2-8L2-8R1-9R3-9L1-11L2-10R2-12R2
Cross2L2-3L2-3R2-4R2-6R2-7L2-9L2-10L2-11R2-10R2-12R2
Crown1R3-2R2-3R1-5L1-6L2-7L3-7R3-8R2-9R1-11L1-12L2
Symbol7R1-8L3-8R2-7L1-6R1-5R3-6L1-5L2-4L2-3R2-2R2-2L3-1R1-9R2-11L2-10L2-11R3-12L1-12R1
Infinity1R3-2L1-2R3-3L3-3R1-4L1-4R3-5L3-5R1-6L1-7L1-6R3-7R3-8L1-8R3-9L3-9R1-10L1-10R3-11L3-12R3-12L1-11R1
Wings 21R1-2R2-3R3-4R1-5R1-5L2-4L2-6L1-6R1-7L3-7R3-8L1-9L1-10L1-9R2-8R1-11L3-10R2-12L2
Wing nut9R1-9L3-8R2-8L3-7R3-6R3-7L2-6L3-5L3-5R2-4R1-4L3-3R2-10L3-10R2
Twins5R1-6L2-4R1-5L2-4L1-3L1-3R2-2L2-8L1-9L1-8R2-7R2-9R1-10R1-10L2-11R2
Cross 212L2-11R2-10R2-9R2-9L2-8L1-7R1-6R2-6L2-5L2-4L2-2R1-3R2-1R2-2L2
Chains1R2-3R3-3L2-4L1-5L3-5R1-4R2-6L2-7R2-10L1-9R3-9L2-11L3-10R2-11R1-12L2
Frog 26R1-5L3-4R3-3R1-3L3-2R3-1R3-4L2-7R3-9L1-9R1-10R3-11L1-11R1-12R1-10L2-7L2
Repetiti Cardboa
on2L1-2R3-3L1-4R1-5R3-6R2-5L2-7L2-8L3-9L1-8R2-10R1-11R1-11L3-12R2
Blossom2L2-3L3-3R3-4L3-5L2-6L1-6R1-7L1-8L2-9L3-11L2-10L3-9R3-12R1-12L1
rd2L2-2R2-3R2-4L2-5R1-5L2-6R3-7L2-8L2-8R2-9R2-10L2-6L2-11R3-11L2-12R1-12L2
Mask 21R1-2L3-3L1-3R3-2R2-4L3-5L3-4R2-6L2-7L2-8L2-9L1-10L1-9R2-10R1-11L3-12R3-12L1-11R2
Dug-out1R1-2L1-3L3-3R1-2R2-4L1-4R1-5R3-5L1-6R1-6L2-7L1-8L2-9L3-12R2-11R3-11L3-9R3
Crystal1R1-3L3-2R2-4L3-5L3-4R2-3R3-6L3-5R3-6R1-7L1-7R3-8R3-9R3-9L2-8L3-10R3-11L2-10L3-12L1
Well1R3-2L3-2R2-3R1-4L1-5R1-5L3-4R2-6L1-6R1-7R3-7L1-8R1-8L2-
Shrine1R1-2L3-3L3-2R2-3R3-4R3-4L2-5R3-5L2-6L3-8L3-9L3-8R2-10L3-9R2-10R3-12R1-12L1-11R3-11L2-7R3
View 21R1-2L3-2R3-3R1-4R2-5L2-6L3-7L1-6R2-8L2-8R2-9R3-
9L1-10R3-10L2-12R3-12L3-11L3
10R1-12R2-11R3-11L1
Casket8L1-7R1-7L1-6R3-5R1-6L2-5L1-3R1-2R1-2L1-9L3-8R1-10L1-11R1-11L1-9R2-12R2
Claw2L3-3R1-5L1-5R1-6R3-7L1-7R1-6L2-8L1-9L3-8R1-11R3-10L1-9R2-12R2
Divingplatform1R3-2R3-3L1-3R2-5L3-6L1-6R3-5R2-7L1-7R1-8L3-8R1-9R3-9L2-12L3-11R1-11L2
Boom2L1-3L1-2R2-3R1-5L2-6R3-5R2-7R1-7L2-8R2-9L2-10R3-11L3-12L3-11R2
Dumb-bell1R2-2L1-3L1-2R2-5R1-6R1-6L2-7R3-7L2-8R1-8L2-12R2-12L1
New Year1R2-2L1-2R1-3L1-4R1-5R1-6R1-6L2-5L1-7R3-7L2-9R2-10L2-12R2-12L3
Summer House2L1-1R2-3L3-5L3-4L1-3R2-7L3-6L1- 5R2-8L3-7R2-6R2-9L1-11L1-10L3- 9R2-12L1-12R2-11R2
upwards
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A Rubik's Snake (also Rubik's Twist, Rubik's Transformable Snake, Rubik’s Snake Puzzle) is a toy with twenty-four wedges identically shaped liked prisms[1], specifically right isosceles triangular prisms. The wedges are connected, by spring bolts [1] , such that they can be twisted, but not separated. Through this twisting the Rubik's Snake can attain positions including a straight line, a ball (technically a nonuniform concave rhombicuboctahedron), a dog, a duck, a rectangle, a snake, and many more imaginative shapes and figures.
The snake was invented by Professor Ernő Rubik, better known as the inventor of the Rubik's Cube.[1]
Contents
[hide] 1 Structure 2 Notation
o 2.1 Twisting instructions
o 2.2 Machine processing o 2.3 Fiore method
3 Mathematics 4 See also 5 Sources
6 External links
[edit] 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 an alternating color.
[edit] Notation
[edit] Twisting instructions
The description of an arbitrary shape or figure can be described using a set of instructions for twisting the prisms.
The starting point is a straight line with the triangular edges facing towads you, where the 12 prisms of one colour at the bottom are numbered from the left from 1 to 12. The left and the right sloping faces of these prisms are labeled L and R respectively. 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). The numbering is based on always twisting the adjacent prism towards you: position 1 turns the adjacent blocks towards you, position 2 makes a 90° turn, and position 3 turns the adjacent block away from you. Position 0 is the starting position and therefore isn’t explicitly noted in instructions.
Using these rules, a twist can be simply described as:
1. Number of the downward-facing prism (from the left): 1 to 122. Left or right sloping side of the prism: L or R3. Position of the twist: 1, 2 or 3
Example Figure Twisting Instructions
Three Peaks
6R1-6L3-5R2-5L3-4R2-4L1-1R1-3L3-3R2-7L2-7R3-8L1-8R2-9L1-9R2-10L3-12R3-11L1-10R2
Cat
9R2-9L2-8L2-7R2-6R2-6L2-5L3-4L2-3R2-2R2-2L2
[edit] Machine processing
The position of the 23 turning areas can also be written directly after each other. Here the position 0, 1, 2 and 3 are always based on the degree of twist between the right-hand prisms relative to the left-hand prism, if you look at the axis of rotation from the right. But this notation is impractical for manual twisting, because you don’t know in which order the twists occur.
for example Three Peaks
10012321211233232123003 for example Cat
02202201022022022000000
[edit] 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.[2] These are listed consecutively rather than numbered, so that a completely straight figure rather than being presumed as a starting point is notated DDDDDDDDDDDDDDDDDDDDDDD.[3]
[edit] Mathematics
The number of different shapes of the Rubik's Snake is at most 423 = 70368744177664 ≈ 7 • 1013, i.e. 23 turning areas with 4 positions each. The real number of different shapes is lower and still unknown, since some configurations are spatially impossible (because they would require multiple prisms to occupy the same region of space).
[edit] See also
Mechanical puzzles Combination puzzles Nonplanar flexagons
[edit] Sources
1. ^ a b c Fiore, Albie (1981). Shaping Rubik's Snake, p.7. ISBN 0 14 00 6181 9.2. ̂ Fiore (1981), p.9.3. ̂ Fiore (1981), p.11.
porgen
[edit] External links
Wikimedia Commons has media related to: Rubik's Snake
Official Rubik's Online Site Collection of shapes and figures of Rubik's Snake glsnake - open-source cross-platform implementation of Rubik's Snake (also
ported to XScreenSaver)