Try to Put All the Pieces Together Again in the Sqwuare
Square-i
The Square-1 (previously called as Cube 21 and Back to Square One) is a shape-shifting iii-layered twisty puzzle. Its solution is very unique because the kite-shaped corners and the triangular edges are indistinguishable to the puzzle'southward inner mechanism, meaning that corners can be swapped with edges and therefore information technology's possible to have 10 pieces in the upper layer while only 6 in the lesser.
The puzzle was invented in 1990 past Karel Hršel and Vojtech Kopský. It'southward an official WCA contest event, the fastest solution beingness held by Martin Vædele Egdal (4.59 seconds).
Start the Square-i Simulator
Variations: Super Square-1, Foursquare-two, Two Layered and Four Layered versions
How to solve the Foursquare-one
The chief idea of the solution is the same as the Rubik'southward Cube method: Nosotros divide the puzzle into layers and solve them one past one, not messing upwardly the pieces already fixed. This puzzle has a completely dissimilar mechanism, so we have to introduce new notations and algorithms.
Notation
The pinnacle and bottom layers of a Square-1 are made of thin triangle edges and thick kite-shaped corner pieces. An edge slice is 30o (one step), while a thick piece is 60o (2 steps) wide.
In the algorithms we specify how many steps to plough the elevation and bottom layers betwixt the slice moves.
/ - a slice is like a 180o R rotation on the Rubik's Cube (prototype). Foursquare-1 scramblers usually neglect the slice move.
(ane, 0) / - rotate the superlative layer 30o clockwise and slice
(0, 3) / - rotate the bottom layer 90o and slice. Equivalent to the D move on the Rubik's Cube.
/ (0, -one) / - commencement with a slice, rotate bottom layer 30o counterclockwise then slice once more
(2, -one) / - rotate the tiptop layer two steps, the lesser anticlockwise 1 stride and do a slice
1. Bring the puzzle to a square shape
The puzzle is much easier to work with when it is in the shape of a cube. Try to bring the Square-1 to a cube shape in the first step. This is not a complicated stage because there are no solved pieces you can mess upwardly. Utilise this step to familiarize with its functioning.
Try to group the modest pieces together to form a cube with the method below
The 2 examples below describe how to brand a cube from 2 piece of cake-to-attain positions, when the thick pieces are nerveless in the bottom and the narrow pieces are grouped together on the top, as much every bit possible.
Case one: If every pocket-size piece is grouped in the tiptop layer
Example 2: If at that place's a lonely small slice in the top layer
To bring the cube to a square shape get-go you need to collect the tiny pieces next to each other or leave maximum 1 lonely piece betwixt two thick corners. This is not that hard to accomplish, it can be done intuitively. When this is done follow the steps on the pictures to a higher place. The blackness vertical line marks where to make the slice
Wrong center layer
If the middle layer is non square, practise the following: (0, -1) / (6, 0) / (6, 0) / (0, ane)
At present that the shape of the puzzle is a cube, we tin easily handle the pieces.
ii. Peak (yellow) corners
First bring all corner pieces to the respective layer: Hold the cube with the red side facing you lot and the greenish on the right. The yellow has to come to the top and the white to the lesser. This step is not and then complicated, it can be washed intuitively, if not, here'southward a piddling aid to swith two pieces in the top and lesser layers:
(0, -4) / (0, 3) / (0, 1)
When every corner is in the correct layer, bring the yellowish corners to their final position, swithching 2 pieces in the acme right side:
(i, 0) / (0, -3) / (0, 3) / (0, -three) / (0, -3) / (0, 6) / (-1, 0)
iii. Edges to their layers
Xanthous edges to the top, white edges to the bottom layer. To swap two pieces move them to the peak right and lesser right of the cube and then do the algorithm.
(1, 0) / (0, -3) / (0, -3) / (-1, -ane) / (i, 4) / (0, 3) / (-one, 0)
Repeat this until every edge gets to its layer. It doesn't matter if they're not on the exact final spot. At the end of this step you should see the white and xanthous faces solved.
four. Swap corners
In the second step we sent every top-layer corners to their final position. At present exercise the lesser corners. Use the fox beneath to swap the 2 front-facing corners in the bottom layer.
/ (3, -iii) / (0, 3) / (-3, 0) / (3, 0) / (-3, 0) /
v. Permute the edges
At this point every edge should exist at its correct layer, we just have to put them to their final position.
Switch two pieces on the meridian and two in the bottom layer at the same time. The algorithm beneath switches the right-superlative with the back-top edge and the correct-bottom with the back-lesser edge.
(0, two) / (0, -3) / (1, 1) / (-i, two) / (0, -2)
In most cases your Square One puzzle should be solved at the end of this step. If at that place are 2 edges that demand to exist stock-still and then you accept a parity.
6. Parity
If there are just ii edges left to finish the cube and so you've got parity. Use this long algorithm to switch two edges on the top so go back to point 5.
/ (iii,3) / (1,0) / (-2,-2) / (ii,0) / (2,2) / (-1,0) / (-iii,-iii) / (-two,0) / (iii,3) / (3,0) / (-1,-1) / (-3,0) / (ane,one) / (-4,-3)
Congratulations, you lot take solved your Square-one cube puzzle!
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Source: https://ruwix.com/twisty-puzzles/square-1-back-to-square-one/
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