Thursday, August 4, 2011

The Code

Just in case you didn't know, BBC started recently a new TV series with the name "The Code". Apart from being a TV documentary, it is also a quest for the treasure hunt. Some of the questions, in this quest, are quite interesting. It's all about observing the patterns, nothing complicated.

For example, have a look at this puzzle. After about 20 minutes of looking at the pictures I came with the following solution:

For the "six-sided dice" the repeating numbers are 1,2,3. For the "eight-sided dice" the repeating numbers are 1,2,3,4. It looks like these numbers generate the others.

1. For the first "six-sided dice" - 1,2,3 generate 2,3,4
2 = 1 + 11
3 = 1 + 21
4 = 1 + 31

2. For the second "six-sided dice" - 1,2,3 generate 2,5,10
2 = 1 + 12
5 = 1 + 22
10 = 1 + 32

3. For the third "six-sided dice" - 1,2,3 generate 2,9,28
2 = 1 + 13
9 = 1 + 23
28 = 1 + 33

4. For the first "eight-sided dice" - 1,2,3,4 generate 2,3,4,5
2 = 1 + 11
3 = 1 + 21
4 = 1 + 31
5 = 1 + 41

5. For the second "eight-sided dice" - 1,2,3,4 generate 2,5,10,17
2 = 1 + 12
5 = 1 + 22
10 = 1 + 32
17 = 1 + 42

Now, following this pattern...

6. For the third "eight-sided dice" - 1,2,3,4 generate
1 + 13 = 2
1 + 23 = 9
1 + 33 = 28
1 + 43 = 65

And the answer is: 65