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Rhem 4 Hints
How can I do that? One click changes 2 settings!
1 of 5: Check how the panels influence each other.
2 of 5: To explain the mechanism please apologize that I use mathematical terms:
Let's number the buttons from the left to right as 1 to 4. Each operation of the buttons can be seen as a vector or 4-tuple (that means a combination of 4 values) according to its effect. Button 1 operates (1, 0, 0, 2), Button 2 (-1, 1, 0, 0), Button 3 (0, 2, 1, 0) and Button 4 (0, 0, -1, 1).
The operation of two buttons can be seen as the vector sum of two button operations in a ring of 4 -- which is basically saying to add up both of the first numbers in each vector pair, then the second numbers, etc. If you get a sum of at least 4, keep subtracting 4 until you're at 3 or less. For example, Button 1 and Button 2 result in an operation of (1 - 1, 0 + 1, 0 + 0, 2, 0) = (0, 1, 0, 2). Using button 3 twice is (0 + -, 2 + 2, 1 + 1, 0 + 0) = (0, 0, 2, 0) -- where 4 wraps back around to 0 for the second number.
3 of 5: Then check which result we need by giving each of the 4 positions the value of steps the lines has to move. From the initial setting that would be (2,- 1, 2, -1) which is identical to (2, 3, 2, 3). Depending on what you tried that could be something else.
4 of 5: Now find summands to build that sum, remember that you are working in a ring so, 4 = 0 and 2 + 3 = 1 and 2 - 3 = 3.
5 of 5: From the initial setting you need button 1 and 3 three times each and button 2 and 4 once each.