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The goal is to click the number in the upper row of green nimbers.
Among the green numbers is one that is the answer.
The answer is the number represented by the quadrilateral.
If you click a green number that is not the correct answer,
this number will disappear from the row and will make the next choice
narrower. Possibly the correct answer is clicked last.
When the correct answer is clicked four different colors with
the number will appear.
The quadrilateral vertices represent an interger using the remainders with respet to the dividers 2,3,4 and 5. The ticks are to be read clockwise. |
For example this quadrilateral reads (0,0,4,3). The answer is 2410 = ch(2,3,5,7:0,0,4,3), meaning that 24 leaves remainders 0,0,4 and 3 when divided by 2,3,5 and 7. By clicking the quadrilateral you will produce a new number. |
| The color squares with numbers stand for candidate numbers. There are four conditions on the solution because there are four divisors Each of the color represent one solution set for one condition. The solution is the unique element of the intersection of all four sets. The uniqueness of the solution (one lement intersection set) is mathematically guaranteed by the Chinese remainder theorem. |
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Either you can find the intersention (one number guaranteed by the Chinese remainder theorem), or you can click on a numbered square to eliminate it and narrow the search. |
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Eventually you may click on the solution and four different squares of the same value will appear. By clicking them or the quadrilateral will give you a new number represented visually by a quadrilateral. |