Update 9/1/05: The Eternal Triangle

Since I regularly tout myself as an Actionscripter, and slightly less regularly demonstrate proof, this update includes a moderately intriguing exercise in mathematics, the Eternal Triangle.

To begin, place any whole number between 0 and 999 in each empty circle in the top row, so that all six circles contain a number. Click the arrow, and grip the armrests of your chair in awed anticipation. Actually, don't, you'll need at least one of your hands every so often throughout this procedure.

For each circle in the second row, the program:

1)

Adds the two numbers connected to it from above.

Example: 37 + 6 = 42

2)

Finds the largest multiple of five that is less than the sum.

5 * 8 = 40

3)

Subtracts the smaller number from the larger one.

42 - 40 = 2

4)

Finally, enters the result into the circle.

2

After filling in all the circles in the second row, every time you click the down arrow the program repeats the above procedure to complete the third, fourth and fifth rows.

Now, what's the point of all of this, you ask? There is one, and only one, number that will complete the Eternal Triangle, regardless of the numbers you entered at the beginning. I'm sure the suspense is killing you, so without further ado...

 



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