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Along the side of the tower are six columns of small balls in a pieces, in six colours. They are fastened in a ring. Kowalewski: Mathematica delectans, Band 1 , Leipzig 1921 03 G.
Solution 2: It can also be solved in columns. By rotating the discs, the balls and the gap are moved around to the other columns.
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The Babylon Tower, sometimes called the Ivory Tower, is a sliding piece puzzle which consists of several discs stacked up into a tower, and they can rotate about a central axle. There are 6 such discs. Along the side of the tower are six columns of small balls in a pieces, in six colours. The colours in each column range from bright in the lower disc to pale in the top one. The bottom disc has a spring allowing one of two opposite balls to be pushed in, creating a gap. The balls can then slide up or down their groove from one disc to another because of the gap. By rotating the discs, the balls and the gap are moved around to the other columns. This puzzle was designed by Endre Zauberturm, who also designed the. The patent, from 2 December 1982, only lists the assignee Arxon Spiel + Freizeit. Other related puzzles are theand. Solution 1: It can be solved in layers, disc by disc from the bottom up starting with the brightest colours. Start by pushing in one of the balls to create a gap. Phase 1: How to solve a disc. Shift balls down to get the gap in zauberturm of the discs above the ball. Rotate discs to place the gap above the ball in the same column. Rotate the ball to a zauberturm column and drop another ball in the gap. Rotate a disc to place the gap in a different column to the ball. Rotate discs to place the gap beneath the ball. Repeat zauberturm the piece lies in the layer immediately above the disc being solved. Rotate discs to place the piece in a different column than its destination, and the gap in the destination column. Rotate discs to place the gap beneath the piece. Note the similarity to step b. The method above can solve any of the layers of the tower, except for the top one. There are a few minor differences when solving the first layer because of the spring mechanism that creates the gap. First push in one ball to create the gap. Solve the ball on the other side. Then pull out the first ball and push in the solved one. Now continue zauberturm method as above. Phase 2: Solve all but top disc. Zauberturm phase 1 with the remaining discs until everything except the last disc is solved. Phase 3: Solve top disc. Let a and A denote the top balls of one column, b and B those of another column etc. Note that the relevant columns need not be adjacent nor in the order as shown here. Simply mentally name the columns a, b, Z and c and move the balls between these columns as shown above wherever they may physically be on the puzzle. zauberturm From step a, the balls have an even permutation, so these 3-cycles suffice to solve it. If you end up with exactly two balls swapped or only a ball and the gap swapped then it was an odd permutation so go back to step a zauberturm rectify it. Solution 2: It can also be solved in columns. Phase 1: Place each colour into a column. This phase is virtually the same as solving the zauberturm. To speed things up, you could rotate some discs to partly solve some columns already. If there are none, and the columns are not yet one colour each then find any piece on the puzzle that is incorrect. zauberturm At some point you should also let out the pushed in ball, and push in the ball on the other side. Do this any time that the bottom two balls of the column on the other side have been solved. Phase 2: Order each colour, except for top two layers. First create a gap in any other column. Rotate the gap above the ball, move ball up, rotate disc back again. Note that the top two balls may now either be correct, or they need to be swapped. Phase 3: Swap the top two balls of any columns that need it. It will not take long to fix this problem since the bottom 4 layers need not be disturbed. Simply mentally name the columns a, b, and Z and move the balls between these columns as shown above wherever they may physically be on the puzzle.
Let's Play NosTale #070 - Mit der Kenkoperle zum Zauberturm
Rotate discs to place the gap beneath the piece. From step a, the balls have an even permutation, so these 3-cycles suffice to solve it. If there are none, and the columns are not yet one colour each then find any piece on the puzzle that is incorrect. There are 6 such discs. It's a pity I have lost the ball-bearing between the slices :-.
