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Subtitles downloaded from www.OpenSubtitles.org

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BOY: 'One for sorrow

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'Two for mirth

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GIRL: 'Three for a wedding

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'And four for death

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BOY: 'Nine for hell.'

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GIRL: '666.'

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Hidden within this cathedral[br]are clues to a mystery,

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something that could help answer

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one of humanity's most[br]enduring questions...

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..why is the world the way it is?

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The 13th-century masons[br]who constructed this place

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had glimpsed a deep truth

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and they built a message[br]into its very walls

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in the precise proportions[br]of this magnificent cathedral.

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To the medieval clergy,

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these divine numbers[br]were created by God.

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But to me, they're evidence[br]of something else,

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a hidden code that underpins[br]the world around us,

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a code that has the power to unlock[br]the laws that govern the universe.

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As a mathematician,[br]I'm fascinated by the numbers

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and patterns we see all around us...

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..numbers and patterns[br]that connect everything

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from fish to circles

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and from our ancient past

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to the far future.

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INDISTINCT COMMENT

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Together they make up the Code...

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..an abstract world of numbers...

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..that has given us[br]the most detailed description[br]of our world we've ever had.

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For centuries, people have seen[br]significant numbers everywhere...

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..an obsession that's left[br]its mark in the stones[br]of this medieval cathedral.

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In the 12th century,[br]religious scholars here in Chartres

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became convinced these numbers[br]were intrinsically linked[br]to the divine...

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..an idea that dates back[br]to the dawn of Christianity.

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The fourth-century Algerian cleric[br]St Augustine believed

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that seven was so special that it[br]represented the entire universe.

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He described how seven[br]embraced all created things

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and ten was beyond even the universe

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because it was seven plus the three[br]aspects of the Holy Trinity -

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Father, Son and Holy Ghost.

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12 was also hugely important, not[br]simply because there are 12 tribes[br]of Israel or 12 disciples of Jesus,

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but because 12 is divisible by one,[br]two, three, four, six and 12 itself,

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more than any other number[br]around it.

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For St Augustine,[br]numbers had to come from God

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because they obey laws[br]that no man can change.

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Around 800 years after St Augustine,

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the 12th-century Chartres School[br]also recognised their significance.

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It's thought that, under[br]their influence, sacred numbers

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were built into the structure[br]of this majestic building.

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Numbers, they believed, held[br]the key to the mystery of creation.

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I've spent my entire working life[br]studying numbers,

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and for me they're more[br]than just abstract entities.

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They describe the world around us.

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Although I don't share their[br]religious beliefs, I can't help

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feeling something in common with[br]the people who built this place.

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I share their awe and wonder[br]at the beauty of numbers.

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For them, those numbers brought them[br]closer to God, but I think they're[br]important for another reason,

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because I believe they're the key[br]to making sense of our world.

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Numbers have given us[br]an unparalleled ability[br]to understand our universe.

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And in places, this code[br]literally emerges from the ground.

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Rural Alabama,

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spring 2011.

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Warm, lush and peaceful.

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But this year,[br]there's a plague coming.

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While some locals are moving out,

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Dr John Cooley has driven[br]thousands of miles to be here.

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He's on the trail of one[br]of the area's strangest residents.

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We have been driving around[br]looking for the emergences for[br]about three and a half weeks.

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I've driven 7,200 miles[br]since Good Friday trying to figure[br]out where these things are.

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What makes these insects[br]so remarkable is their[br]bizarre lifecycle.

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For 12 whole years, they live hidden[br]underground, in vast numbers.

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Then, in their 13th year...

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at precisely the same time...

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..they all burrow out[br]from the earth to breed.

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At the full part of the emergence,[br]there will be millions of insects[br]out per acre. They'll be everywhere.

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It really is insect mayhem.

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This is the periodical cicada.

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This one is a male...

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..and you know that[br]because on the abdomen,

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there's a pair[br]of organs called timbles,

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and they're sound-producing organs.

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It's a little membrane that's[br]vibrated, it makes a sound.

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Oh, yeah. I don't have to be[br]frightened of these, do I?

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No, no, they're absolutely harmless.[br]They make wonderful pets. Really?

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Mm-hm. They're quite ticklish.[br]It's a harmless insect.

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It doesn't bite, it doesn't sting,[br]nothing of that sort.

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Its only defence[br]is safety in numbers.

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By emerging in such vast numbers,[br]each individual cicada

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minimises its risk of being eaten.

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Because there are so many of them,

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their predators simply[br]can't eat them fast enough.

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Well, you can certainly hear[br]the cicadas.

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Yes, you can. There are probably[br]millions of them up there.

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Millions? Yeah, millions. What[br]you probably don't realise is you're[br]only hearing half the population.

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Only the males make[br]these loud sounds.

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There are just as many females[br]up there as well.

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And it's extraordinary to think[br]that if we came here next year,

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we wouldn't hear this sound at all?[br]You'll have to come back[br]in 13 years.

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So 2024 is when you'll hear the[br]forest singing like this again?

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That's right. That's amazing.

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Why have the cicadas evolved[br]with this 13-year lifecycle[br]as opposed to any other number?

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Well, you have to remember[br]that these cicadas require[br]large numbers to survive predators,

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and so we think that these[br]long lifecycles in some way help[br]them maintain large populations.

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John believes that,[br]by appearing every 13 years,

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the cicadas minimise their chances[br]of emerging at the same time

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as other cicadas[br]with different lifecycles...

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..because if they were[br]to interbreed, it could have[br]disastrous consequences.

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The offspring would have[br]unusual lifecycles.

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They're going to emerge a little[br]bit here, a little bit there, some[br]this year and some that year in small

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numbers, and that's key because[br]if they emerge in small numbers,[br]the predators eat them.

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The cicadas' survival[br]depends on avoiding other broods.

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Imagine you've got[br]a brood of cicadas[br]that appears every six years.

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Now, let's suppose[br]there's another brood

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which wants to try and avoid[br]the red cicadas.

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One way to do that would be[br]to appear less often in the[br]forest, and that actually works.

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So let's suppose[br]this brood appears every nine years.

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So if the green cicada appears[br]every nine years,

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then it only coincides[br]with the red cicada every 18 years.

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But, rather surprisingly, a smaller[br]number, seven, works even better.

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Coming out every seven years[br]instead of every nine

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means the cicadas appear together[br]much less often.

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Now they only[br]coincide every 42 years.

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That's just twice every century.

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And for the real cicadas,

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a 13-year lifecycle has exactly[br]the same effect as seven does here

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because they both belong[br]to a special series of numbers.

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Like 13, seven is a prime number.

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Unlike other numbers,[br]primes can only be divided[br]by themselves and one,

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and it's this property[br]that means that numbers[br]that are separated by primes

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are far less likely to coincide[br]with multiples of other numbers.

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Because 13 is a prime number,[br]a 13-year lifecycle

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makes the cicadas much less likely[br]to coincide with other groups.

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Up in Georgia, there is another[br]brood of periodical cicada

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and they, too,[br]have a prime number lifecycle.

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They come out every 17 years.

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Because 13 and 17[br]are both prime numbers,

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the two broods only emerge together[br]once every 221 years.

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Prime numbers are intimately[br]linked to the cicadas' survival

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and, intriguingly,

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they're one of the most[br]important elements of the Code,

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because the Code[br]is a mathematical world,

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built from numbers.

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Just as atoms[br]are the indivisible units[br]that make up every physical object,

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so prime numbers are the indivisible[br]building blocks of the Code.

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Prime numbers are indivisible,[br]which means they can't be made

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by multiplying[br]any other numbers together.

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But every non-prime number[br]can be created by multiplying[br]primes together.

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It's impossible to make[br]any numbers without them.

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And if any primes are missing,

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there will always be[br]some numbers you can't create.

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For me, the fact that the most[br]fundamental units of mathematics

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can be found woven[br]into the natural world

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is not only compelling evidence[br]that the Code exists,

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but also that numbers[br]underpin everything...

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..including our own biology.

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This is an innately human[br]characteristic.

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Music is one of the things which[br]defines who we are, and each culture[br]has its own particular style.

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These guys make it seem[br]so effortless, as if the notes

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are just thrown together,[br]but that's simply an illusion.

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MUSIC ENDS, APPLAUSE

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Because, just as numbers[br]govern the cicadas' lives,

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so they determine how WE hear sound.

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That's a C.

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And using this oscilloscope,[br]I can get a picture of that note.

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So I can actually[br]SEE the sound wave.

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Now, the height of the wave[br]corresponds to how loudly[br]I'm playing the note,

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so if I play the note[br]very quietly...

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play it very loudly...I suddenly[br]get a huge wave on the screen.

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The more important thing[br]is the distance between[br]the peaks of the wave,

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because that's determined by[br]the pitch or frequency of the note.

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'The higher the note...

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'the shorter the distance[br]between the peaks.'

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Now, look what happens[br]when I play a C...

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..and compare that with the same[br]note, a C, but an octave higher.

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Something rather surprising emerges,

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because now you can see[br]that the higher note has twice

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as many peaks as the lower note,

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which means the frequency of the[br]high C is twice that of the low C.

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And this happens whatever[br]two notes you choose.

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Provided they're an octave apart,[br]then their frequencies are going[br]to be in this one-to-two ratio.

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Two notes which are an octave[br]apart just sound nice together,[br]and they're actually the most

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harmonious combination of notes[br]that you can have.

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And that's because one to two[br]is the simplest possible frequency[br]relationship, and that's what

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music is all about, because it's[br]these simple whole-number ratios[br]that sound so good to the ear.

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A perfect fifth...

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is a frequency ratio[br]of three to two.

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A perfect fourth...

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is four to three.

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And a slightly more complex sound,[br]a minor sixth...

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..that's a frequency ratio[br]of five to eight.

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Every combination of notes used in[br]music is defined by simple ratios.

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Although we might not be aware of[br]it, these numerical rules underpin

0:18:40.960,0:18:46.360
everything from the simplest song[br]to the most elaborate symphony.

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They're so deeply ingrained[br]that when they're broken,

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we intuitively know[br]something is wrong.

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Professor Judy Edworthy[br]understands this more than most.

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She spends her time subjecting[br]people to some of most unpleasant[br]noises imaginable.

0:19:21.080,0:19:22.520
Hi, Judy.

0:19:22.520,0:19:24.560
Ah, hello. Marcus.

0:19:24.560,0:19:28.800
'Her research investigates[br]the psychological effects of sound.

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'And by using complex ratios[br]instead of simple ones, the noises[br]she creates are nothing like music.'

0:19:41.640,0:19:45.600
You can see just by looking at it[br]it's not going to sound nice.

0:19:45.600,0:19:47.360
The wave looks a mess.

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The wave is a mess.[br]It's very difficult to see a pattern.

0:19:49.920,0:19:54.200
CONSTANT DRONE

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OK. It sounds really quite odd now.

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It doesn't have any pitch. It sounds[br]harsh and I could make it louder[br]and that would make it harsher.

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When the various frequencies aren't[br]simple multiples of one another,

0:20:05.200,0:20:08.000
there's no common pattern[br]for the ear to respond to,

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and the more complex you make[br]the ratios, the more dissonant[br]and harsh the sound will get.

0:20:16.040,0:20:20.400
By monitoring her victims' reactions[br]to these appalling noises,

0:20:20.400,0:20:23.960
Professor Edworthy has found[br]they have a very different effect

0:20:23.960,0:20:25.440
on our minds than music.

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ALARM BEEPS

0:20:27.480,0:20:30.160
HONKING

0:20:30.160,0:20:31.200
WHIRRING

0:20:31.200,0:20:33.880
They're so unpleasant...[br]HAMMERING

0:20:33.880,0:20:37.080
..they shock our brains into action.

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For example, a siren.

0:20:38.960,0:20:42.720
HIGH-PITCHED SIREN BLARES

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That's quite a harsh sound,[br]but it's designed for a purpose -[br]to get you out of the way.

0:20:50.480,0:20:54.000
Sometimes you find these sounds[br]in the animal world as well.

0:20:54.000,0:20:56.960
So this, for example, this is[br]a chimpanzee and an orang-utan.

0:20:56.960,0:21:00.360
INTERMITTENT SCREECHING

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OK, these animals are obviously[br]quite bothered by something.

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You don't need to know[br]what that sound means to know[br]that that animal's not happy

0:21:11.840,0:21:17.680
and also that the other animals in[br]that environment and us, for example,[br]should just get out of the way.

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SHORT SCREECH

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So it's interesting[br]that we really hear pattern,

0:21:23.200,0:21:27.560
and when it isn't there,[br]it creates an effect in all of us.

0:21:27.560,0:21:30.480
LOW-PITCHED SCREECH

0:21:37.200,0:21:41.280
Remarkably,[br]it's numerical patterns in the Code

0:21:41.280,0:21:45.080
that dictate the combinations[br]of sounds we hear as music...

0:21:45.080,0:21:47.360
RUSTLING

0:21:47.360,0:21:51.000
..and those we hear simply as noise.[br]CHIRPING, SIREN

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BELL TOLLS

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And perhaps stranger still,[br]it's these same numbers

0:21:58.840,0:22:02.160
that are built into the walls[br]of this medieval cathedral.

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Two notes[br]which are an octave apart are[br]going be in this one-to-two ratio.

0:22:20.240,0:22:23.960
The width of the nave here is twice[br]the distance between

0:22:23.960,0:22:30.360
each of the columns that run up[br]its length - a ratio of two to one.

0:22:30.360,0:22:34.680
The most harmonious[br]combination of notes from a pair.

0:22:34.680,0:22:38.520
The altar divides the nave[br]into a ratio of eight to five.

0:22:40.280,0:22:42.560
A minor sixth...

0:22:42.560,0:22:44.000
eight to five.

0:22:47.960,0:22:49.680
A perfect fifth...

0:22:49.680,0:22:51.920
three to two.

0:22:51.920,0:22:55.440
A perfect fourth is four to three.

0:22:55.440,0:22:57.600
Major third, five to four.

0:23:00.720,0:23:04.360
And that's what music is all about.

0:23:04.360,0:23:09.000
St Augustine believed[br]these ratios were used by God[br]to construct the universe

0:23:09.000,0:23:13.040
and that that was why[br]they produced harmony in music.

0:23:18.480,0:23:22.240
By constructing their cathedral[br]using the same ratios,

0:23:22.240,0:23:26.280
the clergy at Chartres[br]hoped to echo God's creation.

0:23:26.280,0:23:29.800
This entire place[br]is a symphony set in stone.

0:23:33.440,0:23:38.440
Using the Code's numbers has created[br]a building of awe-inspiring beauty.

0:23:52.760,0:23:54.480
The only truth there is...

0:23:54.480,0:23:56.960
Seemingly significant numbers...

0:24:03.240,0:24:06.680
By searching[br]for divine meaning in numbers,

0:24:06.680,0:24:11.560
12th-century scholars had stumbled[br]across elements of the Code.

0:24:11.560,0:24:14.280
It's very difficult to see a pattern.

0:24:16.960,0:24:21.920
Mysterious numbers and patterns that[br]seem to be written into our biology.

0:24:22.960,0:24:25.560
Its only defence[br]is safety in numbers.

0:24:27.880,0:24:34.200
And as we've looked closer, we[br]haven't simply found more numbers -

0:24:34.200,0:24:41.600
we've begun to uncover their[br]strangest properties and started to[br]see deep connections between them.

0:24:45.720,0:24:49.760
Back in the distant past,[br]in Neolithic times,

0:24:49.760,0:24:55.160
around 4,000 years ago, an ancient[br]people brought these stones here

0:24:55.160,0:24:57.680
and arranged them like this.

0:24:57.680,0:25:02.480
This is Sunkenkirk stone circle in[br]Cumbria and it's one of around 1,000

0:25:02.480,0:25:07.360
such structures that our ancient[br]ancestors built across the UK.

0:25:13.840,0:25:17.400
Stretching back[br]into the mists of time,

0:25:17.400,0:25:21.000
the circle has been[br]steeped in mysticism.

0:25:24.720,0:25:27.760
But whether the people who built[br]this structure knew it or not,

0:25:27.760,0:25:31.800
there is deep significance[br]hidden inside this circle.

0:25:31.800,0:25:36.080
OK, so I need to start[br]by measuring the diameter

0:25:36.080,0:25:41.360
of my circle, so that's the[br]distance from one edge to the other.

0:25:43.600,0:25:46.200
I need to go roughly[br]through the centre.

0:25:48.640,0:25:51.480
So that's 27 and 90.

0:25:55.480,0:25:58.680
Right, so now I'm going[br]to measure the circumference

0:25:58.680,0:26:01.120
of the circle. So off we go.

0:26:01.120,0:26:03.480
So around the outside.

0:26:05.520,0:26:08.320
Oh, I've never got so much exercise[br]doing maths before!

0:26:10.680,0:26:13.440
And that's the circumference.

0:26:13.440,0:26:17.880
So I've got 91 metres

0:26:17.880,0:26:20.760
and 70 centimetres.

0:26:23.000,0:26:28.160
I'm going to do[br]a little calculation. I'm going[br]to divide the circumference

0:26:28.160,0:26:32.120
of the circle by the diameter.

0:26:32.120,0:26:36.160
So 917 divided by 279.

0:26:36.160,0:26:38.440
So that's roughly three...

0:26:38.440,0:26:42.320
Bit of, er, mental arithmetic, not[br]a mathematician's strongest point.

0:26:42.320,0:26:45.040
OK, two lots of 279,

0:26:45.040,0:26:46.600
so...

0:26:46.600,0:26:49.400
not far out[br]from what I was hoping for.

0:26:49.400,0:26:54.840
So when I do that,[br]I get roughly 3.2 as the answer.

0:27:00.000,0:27:03.280
My measurements[br]weren't very precise...

0:27:04.920,0:27:10.320
..but my answer is close[br]to a mysterious number[br]hidden within every circle.

0:27:15.000,0:27:19.840
So, for example,[br]let's take this circular plate here.

0:27:19.840,0:27:21.880
I'm going to measure its diameter.

0:27:21.880,0:27:25.120
26.4 centimetres.[br]Now its circumference.

0:27:27.160,0:27:29.080
That's a bit trickier.

0:27:29.080,0:27:31.640
82.9 centimetres.

0:27:31.640,0:27:35.640
Divide the circumference[br]by the diameter, I get 3.14.

0:27:35.640,0:27:38.560
Now let's take another circle.[br]Measure its diameter.

0:27:38.560,0:27:40.880
12.8 centimetres.

0:27:42.360,0:27:47.200
So the circumference[br]is 40.2 centimetres.

0:27:47.200,0:27:52.160
Divide the circumference[br]by the diameter and I get 3.14.

0:27:52.160,0:27:56.240
In fact, whatever circle I take,[br]divide the circumference

0:27:56.240,0:28:01.080
by the diameter and you're going[br]to get a number which starts 3.14.

0:28:01.080,0:28:04.320
This is a number we call pi.

0:28:09.440,0:28:13.920
No matter where the circles are,[br]no matter how big or small...

0:28:15.480,0:28:17.920
..they will always contain pi.

0:28:20.200,0:28:26.680
It's this universality of the[br]number pi which tells you you've[br]identified a piece of true Code.

0:28:26.680,0:28:28.720
In fact, if you get another number,

0:28:28.720,0:28:30.840
it means[br]that you haven't got a circle.

0:28:30.840,0:28:34.000
In some sense,[br]pi is the essence of circleness,

0:28:34.000,0:28:36.840
distilled into the language[br]of the Code.

0:28:37.880,0:28:43.440
And because circles and curves[br]crop up again and again in nature,

0:28:43.440,0:28:47.560
pi can be found all around us.

0:28:51.280,0:28:54.480
It's in the gentle curve[br]of a river...

0:28:55.720,0:28:58.360
..the sweep of a coast line...

0:29:00.440,0:29:04.240
..and the shifting patterns[br]of the desert sands.

0:29:07.120,0:29:12.960
Pi seems written into the structures[br]and processes of our planet.

0:29:18.800,0:29:22.160
But, strangely,[br]pi also appears in places

0:29:22.160,0:29:25.640
that seem to have nothing[br]to do with circles.

0:29:31.400,0:29:35.560
I started fishing Brighton in 1972.

0:29:35.560,0:29:39.200
I've been a fisherman 40 years,[br]catching Dover sole.

0:29:41.400,0:29:45.480
That's the main target species[br]for the English Channel.

0:29:46.520,0:29:48.520
How many fish[br]do you think you get a day?

0:29:48.520,0:29:51.000
300 some days, 150 other days,

0:29:51.000,0:29:53.040
so I'd say 200 would be average.

0:29:53.040,0:29:58.080
And you've got me some[br]Dover sole today so I can have a[br]weigh of what you've caught today.

0:29:58.080,0:29:59.920
Yeah, you can play with them! OK!

0:30:02.360,0:30:06.600
What's remarkable is that, with just[br]a small amount of information...

0:30:06.600,0:30:08.840
It's 180 grams.

0:30:09.840,0:30:11.880
..and by weighing a few fish...

0:30:11.880,0:30:13.120
That's a whopper.

0:30:13.120,0:30:14.520
..I can use the Code

0:30:14.520,0:30:17.360
to tell me things[br]about not just today's catch...

0:30:17.360,0:30:21.320
360 grams. 50 grams. 110 grams.

0:30:22.000,0:30:25.280
..but about all the Dover sole[br]Sam's ever fished...

0:30:25.280,0:30:28.040
Whoa, jeez, come back!

0:30:28.040,0:30:30.640
..I can even get an estimate[br]for the largest sole

0:30:30.640,0:30:33.440
that Sam is likely[br]to have caught during his career.

0:30:33.440,0:30:34.800
Right...

0:30:34.800,0:30:41.320
First , I need to work out what[br]the average weight of a fish is,

0:30:41.320,0:30:45.560
so 140 plus 190

0:30:45.560,0:30:48.080
plus 150...

0:30:48.080,0:30:53.040
So now I need to work out[br]the standard deviation,[br]so that's 140 minus square that...

0:30:53.040,0:30:55.560
Bear with me, all right?[br]Almost there.

0:30:55.560,0:31:00.800
So he said he fished for 40 years,

0:31:00.800,0:31:06.000
and eight weeks during the year,[br]six days out of the week

0:31:06.000,0:31:10.280
and 200 sole each day,

0:31:10.280,0:31:14.160
so that gives you[br]a total of 384,000 fish.

0:31:15.880,0:31:19.600
Using these numbers,[br]I can calculate that the largest one

0:31:19.600,0:31:22.800
out of those 384,000 fish

0:31:22.800,0:31:27.880
should be about 1.3 kilograms,[br]which is roughly three pounds.

0:31:30.000,0:31:34.400
So what's the largest Dover sole[br]that you've caught in your career?

0:31:34.400,0:31:37.160
We call them door mats,[br]the large ones,

0:31:37.160,0:31:40.480
and you maybe get[br]four or five a season.

0:31:40.480,0:31:45.240
The largest, I'd say, was three[br]to three and a half pounds.

0:31:45.240,0:31:49.800
An average Dover Sole[br]is that sort of size

0:31:49.800,0:31:51.240
and these...

0:31:51.240,0:31:54.520
Wow, that's huge! Yeah!

0:31:54.520,0:31:58.400
It's a whopper. It's always nice[br]to catch big stuff, you know.

0:31:58.400,0:32:00.960
Well, I think it is anyway.[br]HE CHUCKLES

0:32:05.360,0:32:08.520
Using the Code,[br]it's possible to estimate the size

0:32:08.520,0:32:11.560
of the biggest fish[br]Sam's ever caught,

0:32:11.560,0:32:16.280
despite not weighing a single fish[br]anywhere near that size.

0:32:21.120,0:32:27.520
Now, the reason this calculation is[br]possible is because the distribution[br]of the weights of fish,

0:32:27.520,0:32:32.840
in fact the distribution[br]of lots of things like the height[br]of people in the UK or IQ,

0:32:32.840,0:32:35.720
is given by this formula.

0:32:35.720,0:32:38.760
'This is the normal[br]distribution equation,

0:32:38.760,0:32:42.160
'one of the most important bits[br]of mathematics

0:32:42.160,0:32:46.480
'for understanding variation[br]in the natural world.'

0:32:46.480,0:32:51.360
The most remarkable thing about this[br]formula isn't so much what it does

0:32:51.360,0:32:53.680
as this term here, pi.

0:32:53.680,0:32:55.840
It seems totally bizarre

0:32:55.840,0:32:59.640
that a bit of the Code[br]that has something to do[br]with the geometry of a circle

0:32:59.640,0:33:02.120
can help you to calculate[br]the weight of fish.

0:33:02.120,0:33:07.080
Pi shouldn't have anything[br]to do with fish, yet there it is.

0:33:15.320,0:33:19.800
Just as the circle[br]appears everywhere in nature,

0:33:19.800,0:33:24.200
so pi crops up again and again[br]in the mathematical world.

0:33:25.840,0:33:31.600
It's an astonishing example of[br]the interconnectedness of the Code.

0:33:31.600,0:33:36.880
A glimpse into a world where numbers[br]don't just have strange connections,

0:33:36.880,0:33:40.520
they have deeply puzzling[br]properties of their own.

0:33:43.960,0:33:46.840
Pi is what's known[br]as an irrational number.

0:33:49.040,0:33:53.120
Written as a decimal,[br]it has an infinite number of digits

0:33:53.120,0:33:56.520
arranged in a sequence[br]that never repeats.

0:33:58.200,0:34:02.720
And it's thought that any number[br]you can possibly imagine

0:34:02.720,0:34:07.360
will appear in pi somewhere,[br]from my birthday

0:34:07.360,0:34:11.080
to the answer to life,[br]the universe and everything.

0:34:14.120,0:34:17.240
Because they go on for ever,[br]we can never know all the digits

0:34:17.240,0:34:18.880
that make up pi.

0:34:18.880,0:34:22.600
But, luckily,[br]we only need the first 39

0:34:22.600,0:34:28.040
to calculate the circumference[br]of a circle the size[br]of the entire observable universe,

0:34:28.040,0:34:31.480
accurate to the radius[br]of a single hydrogen atom.

0:34:38.440,0:34:43.440
But as strange as Pi is, it does[br]at least describe a physical object.

0:34:44.680,0:34:48.200
Some numbers don't make[br]any sense in real world,

0:34:48.200,0:34:51.400
despite the fact we use them[br]all the time.

0:34:51.400,0:34:54.240
Numbers, like negative numbers.

0:34:56.920,0:35:01.320
It's impossible to trade anything,[br]stocks, shares, currency,

0:35:01.320,0:35:04.200
even fish, without negative numbers.

0:35:04.200,0:35:06.240
Most of us are comfortable them.

0:35:06.240,0:35:09.240
Even though we may not like it,[br]we understand what it means

0:35:09.240,0:35:11.520
to have a negative bank balance.

0:35:11.520,0:35:13.760
But when you start[br]to think about it,

0:35:13.760,0:35:17.400
there's something deeply strange[br]about negative numbers,

0:35:17.400,0:35:21.240
cos they don't seem to correspond[br]to anything real at all.

0:35:23.760,0:35:28.920
The deeper we look into the Code,[br]the more bizarre it becomes.

0:35:33.640,0:35:40.160
It's easy to imagine one fish[br]or two fish, or no fish at all.

0:35:40.160,0:35:44.520
It's much harder to imagine[br]what minus-one fish looks like.

0:35:44.520,0:35:49.440
Negative numbers are so odd[br]that if I have minus-one fish[br]and you give me a fish,

0:35:49.440,0:35:53.320
then all you can be certain of[br]is that I've got no fish at all.

0:36:00.880,0:36:06.680
Numbers, can exist regardless[br]of whether they make any sense[br]in the physical world.

0:36:11.040,0:36:15.680
And if you think that's odd,[br]some numbers are so strange

0:36:15.680,0:36:18.720
they don't even seem[br]to make sense as numbers.

0:36:19.960,0:36:24.080
Now, this is one of the most[br]basic facts of mathematics.

0:36:24.080,0:36:28.520
A positive number multiplied[br]by another positive number[br]is a positive number.

0:36:28.520,0:36:34.800
So for example,[br]one times one is one.

0:36:34.800,0:36:38.200
A negative number multiplied[br]by another negative number

0:36:38.200,0:36:41.200
also gives a positive number.

0:36:41.200,0:36:47.400
So for example, minus-one[br]times minus-one is plus-one.

0:36:47.400,0:36:53.080
'It's not only a rule, it's a proven[br]truth of multiplication.

0:36:53.080,0:36:57.120
'Whenever the signs are the same,[br]the product is always positive.'

0:36:57.120,0:36:59.160
From this, it's obvious

0:36:59.160,0:37:01.840
if I take any number[br]and multiply it by itself,

0:37:01.840,0:37:04.360
then the answer[br]is going to be positive.

0:37:04.360,0:37:06.680
However, in the Code,

0:37:06.680,0:37:09.480
there's a special number[br]which breaks this rule.

0:37:09.480,0:37:13.400
When I multiply it by itself,[br]it gives the answer minus-one.

0:37:13.400,0:37:17.160
It's impossible to imagine what[br]this number could be,

0:37:17.160,0:37:21.120
because there simply is no number

0:37:21.120,0:37:24.960
that when multiplied by itself,[br]gives minus-one.

0:37:24.960,0:37:29.240
This isn't a number I can calculate.[br]I can't show you this number.

0:37:29.240,0:37:31.720
Nevertheless, we've given[br]this number a name.

0:37:31.720,0:37:35.040
It's called "i", and it's part[br]of a whole class of new numbers

0:37:35.040,0:37:36.520
called imaginary numbers.

0:37:38.240,0:37:42.800
Calculating with imaginary numbers[br]is the mathematical equivalent

0:37:42.800,0:37:44.880
of believing in fairies.

0:37:46.080,0:37:50.560
But even these strangest elements[br]of the Code turn out to have

0:37:50.560,0:37:53.440
some very practical applications.

0:37:58.040,0:38:01.720
The ground's close, will you call[br]me, please, 1-1-9 next...

0:38:04.360,0:38:09.440
Runway 25, clear to land. Surface[br]is 1-3-0, less than five minutes.

0:38:09.440,0:38:12.080
'Especially on a day like this.'

0:38:15.560,0:38:21.040
8-5 Foxtrot, thank you, vacate next[br]right and park yourself 1-3 short.

0:38:21.040,0:38:25.040
'8-5 Foxtrot, 8-2-0, both making[br]approach down direct and right, 2-5.'

0:38:25.040,0:38:27.520
So where's this one coming from?

0:38:27.520,0:38:31.680
That is from Barcelona.[br]It's an Easyjet flight, EZZ6402.

0:38:31.680,0:38:35.440
Don't know how many people are[br]on board, but it seats about 190.

0:38:35.440,0:38:37.880
And here he is.[br]He's getting pretty close now.

0:38:37.880,0:38:40.120
Just less than two miles[br]till he lands.

0:38:40.120,0:38:43.760
What information is the radar[br]giving you about the aeroplanes?

0:38:43.760,0:38:47.240
The first and most important thing[br]is the position of the aircraft.

0:38:47.240,0:38:50.520
The yellow slash there[br]is where the aircraft is.

0:38:50.520,0:38:54.600
You've got the blue trail,[br]the history of where[br]the aircraft's been.

0:38:54.600,0:38:59.240
From that you get two things -[br]you get its rough heading,[br]where he's going, and its speed.

0:38:59.240,0:39:02.040
The longer the trail,[br]the faster the aircraft's going.

0:39:07.840,0:39:11.040
Radar works by sending out[br]a pulse of radio waves

0:39:11.040,0:39:14.840
and analysing the small fraction[br]of the signal that's reflected back.

0:39:19.040,0:39:23.000
Complex computation is then needed[br]to distinguish moving objects,

0:39:23.000,0:39:26.800
like planes,[br]from the stationary background.

0:39:26.800,0:39:29.880
RADIO COMMUNICATION

0:39:29.880,0:39:36.160
At the heart of that analysis lies[br]"i", the number that cannot exist.

0:39:37.800,0:39:42.560
Imaginary numbers are useful[br]for working out the complex way

0:39:42.560,0:39:44.920
radio waves interact[br]with each other.

0:39:44.920,0:39:48.600
It seems to be the right language[br]to describe their behaviour.

0:39:48.600,0:39:51.800
Now, you could do these calculations[br]with ordinary numbers.

0:39:51.800,0:39:53.600
But they're so cumbersome,

0:39:53.600,0:39:57.480
by the time you've done[br]the calculation the plane's[br]moved to somewhere else.

0:39:57.480,0:40:02.000
Attitude 6,000[br]on a squawk of 7-7-1-5.

0:40:02.000,0:40:05.040
Using imaginary numbers[br]makes the calculation simpler

0:40:05.040,0:40:07.680
that you can track the planes[br]in real time.

0:40:07.680,0:40:12.880
In fact without them,[br]radar would be next to useless[br]for Air Traffic Control.

0:40:16.640,0:40:20.680
It's kind of amazing that this[br]abstract idea lands planes.

0:40:20.680,0:40:23.520
It's a bit surprising, you're talking[br]about imaginary numbers

0:40:23.520,0:40:26.120
and this isn't imaginary,[br]this is real. This is very real.

0:40:26.120,0:40:30.000
I'm surprised at the fact[br]that something so abstract

0:40:30.000,0:40:32.040
is being used[br]in such a concrete way.

0:40:46.560,0:40:49.720
As strange as it may seem,[br]the code provides us

0:40:49.720,0:40:53.760
with an astonishingly successful[br]description of our world.

0:40:59.680,0:41:04.360
Its most ethereal numbers[br]have starkly real applications.

0:41:04.360,0:41:10.400
Its patterns[br]can explain one of the most[br]profound processes in nature -

0:41:10.400,0:41:13.880
how living things grow.

0:41:16.720,0:41:19.840
This is a picture of something[br]I've been fascinated by

0:41:19.840,0:41:22.000
ever since I became a mathematician.

0:41:22.000,0:41:26.480
It's an X-ray of a marine animal[br]called a nautilus.

0:41:26.480,0:41:31.160
And this spiral here is one[br]of the iconic images of mathematics.

0:41:31.160,0:41:34.400
Now, while I've seen pictures[br]like this hundreds of times,

0:41:34.400,0:41:37.080
I've never actually seen[br]the animal for real.

0:41:40.520,0:41:45.240
'At Brooklyn College,[br]biologist Jennifer Basil keeps[br]five of these aquatic denizens,

0:41:45.240,0:41:49.080
'for her research[br]into the evolution of intelligence.'

0:41:51.280,0:41:56.120
We keep the animals[br]in these tall tanks because[br]they're naturally active at night

0:41:56.120,0:41:59.360
and they like darkness,[br]they live in deep water.

0:41:59.360,0:42:01.680
They also like to go up[br]and down in the water column,

0:42:01.680,0:42:03.840
that kind of makes them happy. OK!

0:42:03.840,0:42:06.720
We give them the five-star[br]treatment here. Right...

0:42:08.440,0:42:11.400
This is Number Five. Ah, wow. Yeah.

0:42:11.400,0:42:12.760
Gosh, big eyes.

0:42:12.760,0:42:16.560
They have huge eyes, great for seeing[br]in low light conditions. Right.

0:42:17.680,0:42:20.000
So, here's that beautiful shell.[br]Yeah.

0:42:20.000,0:42:23.360
And the striping pattern helps them[br]hide where they live.

0:42:40.000,0:42:44.680
I've never seen the animal before[br]inside the shell, what is it?

0:42:44.680,0:42:47.520
They're related to octopuses,[br]squids and cuttlefish.

0:42:47.520,0:42:50.480
It's a little bit like[br]an octopus with a shell

0:42:50.480,0:42:54.240
and what's amazing about them[br]is that their lineage

0:42:54.240,0:42:58.120
is hundreds of millions of years old[br]and they haven't changed very much

0:42:58.120,0:43:00.520
in all that time.[br]We call them a living fossil.

0:43:00.520,0:43:05.200
It's a great opportunity to look[br]at an ancient brain and behaviour

0:43:05.200,0:43:08.800
and they're a wonderful way to study[br]the evolution of intelligence.

0:43:08.800,0:43:11.320
So are these guys intelligent, then?

0:43:11.320,0:43:15.760
Some are smarter than others,[br]like that's Number Four,

0:43:15.760,0:43:18.400
he outperforms everybody[br]in all the memory tests.

0:43:18.400,0:43:21.560
He's quite active all the time,[br]he's quite engaging.

0:43:21.560,0:43:23.880
If you put your in the water[br]he comes up to you,

0:43:23.880,0:43:27.160
whereas Number Three,[br]who happens to be a teenager,

0:43:27.160,0:43:30.320
is I'd guess you'd say more shy[br]and you put him in a new place

0:43:30.320,0:43:34.440
and he sort of just attaches[br]to the wall and sits there.

0:43:34.440,0:43:37.480
I'm interested in the shell[br]as a mathematician,

0:43:37.480,0:43:40.080
but what does the nautilus[br]use the shell for?

0:43:40.080,0:43:42.440
I think the most obvious use[br]is protection.

0:43:43.600,0:43:45.840
They also use it for buoyancy.

0:43:45.840,0:43:47.880
They only live in the front chamber

0:43:47.880,0:43:50.240
and all the other chambers[br]are filled with gas

0:43:50.240,0:43:51.520
and with some fluid.

0:43:51.520,0:43:56.560
By regulating that, they can[br]gently and passively move up and down

0:43:56.560,0:43:58.600
in the water like a submarine.

0:43:58.600,0:44:00.920
The really cool thing they can do

0:44:00.920,0:44:04.320
is they can actually survive[br]on the oxygen in the chambers,

0:44:04.320,0:44:08.600
if there's a period where[br]the oxygen goes down in the oceans.

0:44:08.600,0:44:12.840
It's one of the reasons why[br]they've lived for millions of years.

0:44:12.840,0:44:15.680
It's a really great adaptation.[br]The shell is really amazing.

0:44:18.120,0:44:22.560
But perhaps even more remarkably,[br]the rules this ancient creature

0:44:22.560,0:44:24.240
uses to construct its home

0:44:24.240,0:44:28.280
are written in the language[br]of the Code.

0:44:28.280,0:44:30.600
HORNS BLARE

0:44:38.120,0:44:42.520
The nautilus shell is one[br]of the most beautiful and intricate[br]structures in nature.

0:44:42.520,0:44:45.760
Here you can see the chambers.[br]This is the one where it lives

0:44:45.760,0:44:48.200
and these are the ones[br]it uses for buoyancy.

0:44:48.200,0:44:51.640
Now, at first sight, this looks[br]like a really complex shape,

0:44:51.640,0:44:54.240
but if I measure the dimensions[br]of these chambers

0:44:54.240,0:44:57.080
a clear pattern begins to emerge.

0:45:10.800,0:45:15.000
Now there doesn't seem to be any[br]connection between these numbers,

0:45:15.000,0:45:17.840
but look what happens[br]when I take each number

0:45:17.840,0:45:20.680
and divide it[br]by the previous measurement.

0:45:20.680,0:45:26.360
If I take 3.32 and divide by 3.07,

0:45:26.360,0:45:28.400
I get 1.08.

0:45:28.400,0:45:31.920
Divide 3.59 by 3.32

0:45:31.920,0:45:35.120
and I get 1.08.

0:45:35.120,0:45:38.760
Take 3.88 and divide by 3.59[br]and I get, again, 1.08.

0:45:40.960,0:45:45.120
So every time I do this calculation,[br]I get the same number.

0:45:45.120,0:45:47.920
So although it's not clear[br]by looking at the shell,

0:45:47.920,0:45:52.560
this tells us that the nautilus[br]is growing at a constant rate.

0:45:52.560,0:45:56.240
Everytime the nautilus builds a new[br]room, the dimensions of that room

0:45:56.240,0:46:00.080
are 1.08 times the dimensions[br]of the previous one.

0:46:00.080,0:46:03.160
And it's just by following[br]this simple mathematical rule

0:46:03.160,0:46:06.800
that the nautilus builds[br]this elegant spiral.

0:46:09.640,0:46:13.080
And because many living things[br]grow in a similar way,

0:46:13.080,0:46:16.520
these spirals are everywhere.

0:46:18.600,0:46:24.000
The rules nature uses to create[br]its patterns are found in the Code.

0:46:51.320,0:46:56.360
Behind the world we inhabit,[br]there's a strange[br]and wonderful mathematical realm.

0:46:56.360,0:47:00.200
They're actually related[br]to octopus, squids and cuttlefish.

0:47:00.200,0:47:01.840
They're quite ticklish.

0:47:05.680,0:47:11.360
The numbers and connections[br]at its heart describe the processes[br]we see all around us.

0:47:11.360,0:47:12.760
Bear with me, all right?

0:47:17.480,0:47:22.160
But the Code doesn't just contain[br]the rules that govern our planet -

0:47:22.160,0:47:28.040
its numbers also describe the laws[br]that control the entire universe.

0:47:40.520,0:47:45.800
For centuries, we've gazed out[br]into the night's sky

0:47:45.800,0:47:50.160
and tried to make sense[br]of the patterns we see in the stars.

0:48:08.280,0:48:13.320
To take a closer look, I've come[br]to Switzerland's Sphinx Observatory,

0:48:13.320,0:48:18.600
perched precariously[br]on the Jungfrau mountain.

0:48:31.240,0:48:38.280
At nearly 3,600 metres, it's one[br]of the highest peaks in the Alps.

0:48:43.200,0:48:46.840
And after the sun[br]has sunk below the horizon...

0:48:49.080,0:48:52.080
..it's a great place[br]to gaze at the stars.

0:49:00.680,0:49:05.520
Well, it's a really clear night,[br]so you can see loads of stars.

0:49:05.520,0:49:08.920
There's Sirius over here,[br]the brightest star in the night sky

0:49:08.920,0:49:14.000
and right here a really recognisable[br]constellation, which is Orion.

0:49:14.000,0:49:16.120
Have people always picked out Orion

0:49:16.120,0:49:18.560
as a significant pattern[br]in the night sky?

0:49:18.560,0:49:22.360
It seems like different cultures[br]all picked out that group

0:49:22.360,0:49:23.880
as being a significant one.

0:49:23.880,0:49:26.280
They all have[br]different legends about it.

0:49:26.280,0:49:29.720
The Egyptians associated it[br]with Osiris, their god of death[br]and rebirth

0:49:29.720,0:49:32.560
Other cultures group them together.

0:49:32.560,0:49:35.360
A native American tribe[br]called the three stars of the belt,

0:49:35.360,0:49:38.000
the three footprints of the flee god.

0:49:38.000,0:49:42.560
One group of the Aborigines[br]in Australia called it the canoe.

0:49:47.600,0:49:52.320
Today, we don't need legends to[br]explain the patterns in the stars

0:49:52.320,0:49:56.880
because we know[br]their precise positions in space.

0:50:00.200,0:50:03.440
And we don't just know[br]where they are now,

0:50:03.440,0:50:06.680
we know where they were yesterday[br]and where they'll be

0:50:06.680,0:50:09.600
millions of years into the future.

0:50:10.720,0:50:15.440
So the Sun and all the stars in our[br]galaxy, including the stars in Orion,

0:50:15.440,0:50:18.680
are all moving in orbits[br]around the centre of the galaxy,

0:50:18.680,0:50:23.160
but like a swarm of bees,[br]although they're all moving[br]in roughly the same direction,

0:50:23.160,0:50:27.360
they all follow their own paths[br]and that means that[br]their positions will change,

0:50:27.360,0:50:29.640
as thousands of years tick by.

0:50:29.640,0:50:33.200
And now we're two-and-a-half[br]million years in the future

0:50:33.200,0:50:37.760
and the constellation of Orion[br]has completely gone.

0:50:38.880,0:50:44.440
In fact, thousands of years ago[br]our ancestors would have seen[br]different patterns in the sky

0:50:44.440,0:50:49.800
and our descendants,[br]millions of years in the future,[br]will also see different patterns.

0:50:58.200,0:51:03.160
The reason we can predict how the[br]stars will move into the far future

0:51:03.160,0:51:06.360
is because we've uncovered the rules[br]that govern their behaviour.

0:51:08.080,0:51:12.880
And we've found these rules[br]not in the heavens, but in numbers.

0:51:19.440,0:51:24.600
It's only through the Code[br]that we can understand[br]the laws that govern the universe.

0:51:49.160,0:51:52.680
Laws that describe everything[br]from the motion of the planets

0:51:52.680,0:51:55.400
to the flight of projectile.

0:51:56.560,0:51:59.640
When you watch the fireball[br]fly through the air

0:51:59.640,0:52:02.240
then it appears in the first[br]part of its flight,

0:52:02.240,0:52:04.160
when it's just left the trebuchet,

0:52:04.160,0:52:08.320
that it's accelerating upwards[br]and then it begins to slow down,

0:52:08.320,0:52:10.440
before it stops just above me

0:52:10.440,0:52:14.800
and then, finally, accelerates[br]back down towards the ground.

0:52:19.120,0:52:22.000
But if you analyse the flight[br]using numbers,

0:52:22.000,0:52:24.360
it reveals something[br]rather surprising.

0:52:26.440,0:52:30.560
When you plot a graph[br]of the projectile's vertical speed

0:52:30.560,0:52:32.680
against time...

0:52:33.760,0:52:36.760
..you then you get a graph[br]which looks like this.

0:52:41.080,0:52:44.160
To start with,[br]the projectile is moving upwards

0:52:44.160,0:52:47.960
so it's vertical speed is positive,[br]but decreasing.

0:52:49.200,0:52:53.040
As it reaches the top of its arc,[br]the vertical speed becomes negative

0:52:53.040,0:52:58.360
as the fireball turns round[br]and falls back to Earth.

0:53:01.800,0:53:05.920
Because the graph is going like[br]this, it means that the projectile,

0:53:05.920,0:53:10.360
from the moment it leaves the[br]trebuchet, is actually slowing down.

0:53:10.360,0:53:14.800
So at no point during the flight[br]is it ever accelerating upwards.

0:53:21.080,0:53:26.160
Throughout its flight, the fireball[br]is accelerating downwards

0:53:26.160,0:53:29.040
towards the Earth[br]at a constant rate.

0:53:30.840,0:53:34.040
Something you would never realise[br]simply by watching it

0:53:34.040,0:53:36.280
fly through the air.

0:53:39.120,0:53:41.400
And this is a profound truth

0:53:41.400,0:53:44.480
about one of the fundamental[br]forces of nature...

0:53:46.400,0:53:48.160
..gravity.

0:53:49.320,0:53:52.600
Drop, throw, fire or launch[br]anything you like -

0:53:52.600,0:53:55.760
a rock, a bullet,[br]a ball or even a pot plant

0:53:55.760,0:53:58.880
and it will accelerate towards[br]the ground at a constant rate

0:53:58.880,0:54:02.600
of 9.8 metres per second,[br]per second.

0:54:02.600,0:54:06.200
This is a fundamental law[br]of gravity on our planet.

0:54:06.200,0:54:11.040
But it's only revealed[br]by changing the flight path[br]of the object into numbers.

0:54:16.760,0:54:21.000
Appreciating this simple fact[br]about how gravity works on Earth

0:54:21.000,0:54:26.160
is the first step towards[br]understanding gravity everywhere.

0:54:39.680,0:54:45.160
It's the foundation stone[br]of Newton's Law[br]of Universal Gravitation.

0:54:46.400,0:54:51.280
A mathematical theory that can[br]describe the orbits of the planets,

0:54:51.280,0:54:56.160
predict the passage of the stars[br]into the distant future...

0:54:59.000,0:55:04.640
..and has even enabled human kind[br]to step foot on the Moon.

0:55:08.920,0:55:14.280
The laws that command the heavens[br]are written in the Code.

0:55:26.000,0:55:29.840
'We call them the door mats,[br]the large ones.

0:55:29.840,0:55:32.560
'Two-and-a-half million years[br]in the future...

0:55:32.560,0:55:35.200
'This isn't imaginery, this is real!

0:55:39.520,0:55:44.120
'You don't need to know[br]what that means to know[br]that animal's not happy.

0:55:44.120,0:55:45.920
'Whatever circle I take,

0:55:45.920,0:55:48.880
'you're going to get[br]a number which starts 3.14.'

0:55:53.040,0:55:57.680
It's an incredible thought[br]that the only way we can[br]really make sense of our world

0:55:57.680,0:56:00.960
is by using[br]the abstract world of numbers.

0:56:00.960,0:56:05.400
And yet those numbers have allowed[br]us to take our first tentative[br]steps off our planet.

0:56:05.400,0:56:10.240
They've also given us the technology[br]to transform our surroundings.

0:56:12.320,0:56:15.120
'A hidden Code[br]underpins the world around us.

0:56:18.320,0:56:21.840
'A Code that has the power[br]to unlock the rules that[br]cover the universe.'

0:56:25.520,0:56:30.000
This place was constructed[br]to satisfy a spiritual need.

0:56:30.000,0:56:34.240
But we couldn't have built it[br]without the power of the Code.

0:56:34.240,0:56:39.920
For me, it's an exquisite[br]example of the beauty[br]and potency of mathematics.

0:56:51.120,0:56:53.880
From the patterns and numbers[br]all around us,

0:56:53.880,0:56:57.160
we've deciphered a hidden code.

0:57:11.000,0:57:15.240
We've revealed a strange[br]and intriguing numerical world,

0:57:15.240,0:57:16.960
totally unlike our own.

0:57:18.720,0:57:24.840
Yet it's a Code that also describes[br]our world with astonishing accuracy.

0:57:30.800,0:57:34.200
And has given us[br]unprecedented power to describe...

0:57:37.600,0:57:39.200
..control...

0:57:41.640,0:57:43.880
..and predict our surroundings.

0:57:56.920,0:58:01.280
The fact that the Code[br]provides such a successful[br]description of nature

0:58:01.280,0:58:04.160
is for many one of the greatest[br]mysteries of science.

0:58:05.240,0:58:08.600
I think the only explanation[br]that makes sense for me

0:58:08.600,0:58:11.360
is that by discovering[br]these connections,

0:58:11.360,0:58:15.000
we have in fact uncovered[br]some deep truth about the world.

0:58:15.000,0:58:18.240
That perhaps, the Code[br]is THE truth of the universe

0:58:18.240,0:58:22.880
and it's numbers that dictate[br]the way the world must be.

0:58:29.520,0:58:31.120
Go to...

0:58:34.280,0:58:37.360
..to find clues to help you solve[br]the Code's treasure hunt.

0:58:37.360,0:58:41.000
Plus, get a free set of mathematical[br]puzzles and a treasure hunt clue

0:58:41.000,0:58:43.520
when you follow the links[br]to The Open University

0:58:43.520,0:58:46.160
or call 0845 366 8026.

0:59:00.880,0:59:03.920
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0:59:03.920,0:59:06.960
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0:59:07.000,0:59:10.117
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