6
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In the diagram below you can see four independent patterns. Each pattern is a puzzle by itself, and by solving it you will be able to encounter one or more digits of the final, 6-digit numeric solution. Signs above tell how to get these digits once the mini-puzzle is solved.

Most puzzlers should already be familiarized with the challenge presented by these patterns. However, the solution is this case involves numbers as well as letters.

Backstory: "The 6-digit number you will find is a password that allows you to enter the fifth dimension and therefore become one with the universe. Also, it's the only way to save humanity."

enter image description here

Contrary to what my storytelling skills may indicate, no black sorcery is required in the solution to this puzzle.

Also, please notice that this post contains hidden tag(s), which would otherwise hurt the purpose of the puzzle.

Hint:

It's natural for you to be clueless during these puzzles. However, numbers may come in handy when words are lacking.

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  • 8
    $\begingroup$ The "sum pi sum pi" at the top is just making me hungry. $\endgroup$ – Kingrames Sep 17 '15 at 23:14
  • $\begingroup$ This seems rather broad. There are many ways to get numbers out of the patterns. $\endgroup$ – Dr Xorile Sep 17 '15 at 23:32
  • $\begingroup$ Just to be clear on the rules. You're saying that there are 1 or more digits associated with each diagram, and you either add or multiply those digits to get a number. You then concatenate the four numbers to get a six digit number. $\endgroup$ – Dr Xorile Sep 17 '15 at 23:34
  • $\begingroup$ Each subpuzzle is like a game. The solutions are converted into digits, and digits concatenated into the password $\endgroup$ – MathET Sep 17 '15 at 23:46
  • $\begingroup$ The symbols indicate how the digits are obtained from the solutions $\endgroup$ – MathET Sep 18 '15 at 0:08
10
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Each puzzle is a

crossword

to be solved by

filling in written-out English numbers of the correct length

Solving its gives

 TEN      TEN
   I      W I     O   O O
   N   ZERO N   TEN   NINE
   E        E     E   E E

We interpret each of these by computing the corresponding:

sum of 19, product of 0, sum of 11, product of 9

and concatenating gives the six-digit answer

190119

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2
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I'm going to give this a shot:

Each bend in the string of dots represents a new number to be summed ($\Sigma$) or product-ed ($\Pi$).

We go in order:

  1. 3 + 4 = 7
  2. 4 × 3 × 3 × 4 = 144
  3. 3 + 3 = 6
  4. 4 × 3 × 3 = 36

But 7144636 is seven digits, so this is obviously not the right answer. Am I on the right track, though?

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  • $\begingroup$ Another possible answer with a different algorithm that's actually 6 digits: 630516 $\endgroup$ – Joe Z. Sep 18 '15 at 1:53
  • $\begingroup$ It should be more like a game, not a code. Each mini-puzzle should be in some way "solvable", like finding an answer that fits the constraints. $\endgroup$ – MathET Sep 18 '15 at 1:54

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