[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:06.95,0:00:11.00,Default,,0000,0000,0000,,Honeybees are fascinating creatures \Nfor a number of reasons:
Dialogue: 0,0:00:11.00,0:00:12.38,Default,,0000,0000,0000,,their incredible work ethic,
Dialogue: 0,0:00:12.38,0:00:14.32,Default,,0000,0000,0000,,the sugary sweet syrup they produce
Dialogue: 0,0:00:14.32,0:00:16.47,Default,,0000,0000,0000,,and their intricate social structure.
Dialogue: 0,0:00:16.47,0:00:19.75,Default,,0000,0000,0000,,But another reason is \Nthat honeybees are, in fact,
Dialogue: 0,0:00:19.75,0:00:21.77,Default,,0000,0000,0000,,excellent mathematicians.
Dialogue: 0,0:00:21.77,0:00:25.29,Default,,0000,0000,0000,,Scientists claim the tiny insects \Ncan calculate angles,
Dialogue: 0,0:00:25.29,0:00:28.69,Default,,0000,0000,0000,,and can even comprehend\Nthe roundness of the Earth.
Dialogue: 0,0:00:28.69,0:00:31.25,Default,,0000,0000,0000,,But there's particular\Nmathematical bee genius
Dialogue: 0,0:00:31.25,0:00:34.96,Default,,0000,0000,0000,,behind the most important aspect \Nof honeybee life: the hive.
Dialogue: 0,0:00:34.96,0:00:38.95,Default,,0000,0000,0000,,Just like humans, bees need food\Nand shelter to stay alive.
Dialogue: 0,0:00:38.95,0:00:41.03,Default,,0000,0000,0000,,The hive is not only the bees' home,
Dialogue: 0,0:00:41.03,0:00:43.73,Default,,0000,0000,0000,,but doubles as a place\Nto store their honey.
Dialogue: 0,0:00:43.73,0:00:46.43,Default,,0000,0000,0000,,Since it's so central to survival,
Dialogue: 0,0:00:46.43,0:00:49.79,Default,,0000,0000,0000,,honeybees have to perfect\Nthe hive's architectural design.
Dialogue: 0,0:00:49.79,0:00:52.62,Default,,0000,0000,0000,,If you examine any piece of honeycomb,
Dialogue: 0,0:00:52.62,0:00:54.09,Default,,0000,0000,0000,,you'll see that it's constructed from
Dialogue: 0,0:00:54.09,0:00:58.18,Default,,0000,0000,0000,,tightly packed hexagonal, \Nor six-sided, cells.
Dialogue: 0,0:00:58.18,0:00:59.69,Default,,0000,0000,0000,,Of all the possible designs,
Dialogue: 0,0:00:59.69,0:01:02.04,Default,,0000,0000,0000,,why do honeybees choose this one?
Dialogue: 0,0:01:02.04,0:01:04.82,Default,,0000,0000,0000,,To understand, you need\Nto think like a bee.
Dialogue: 0,0:01:04.82,0:01:08.37,Default,,0000,0000,0000,,Bees need a secure place \Nfor their entire colony to live.
Dialogue: 0,0:01:08.37,0:01:10.23,Default,,0000,0000,0000,,Similarly, there needs to be a place
Dialogue: 0,0:01:10.23,0:01:13.08,Default,,0000,0000,0000,,where their nectar can \Nbe stored and ripened suitably
Dialogue: 0,0:01:13.08,0:01:14.58,Default,,0000,0000,0000,,until it turns into honey.
Dialogue: 0,0:01:14.60,0:01:18.52,Default,,0000,0000,0000,,That means there's a need\Nfor some serious space efficiency.
Dialogue: 0,0:01:18.52,0:01:22.06,Default,,0000,0000,0000,,A good solution is to build\Nlittle storage units, or cells,
Dialogue: 0,0:01:22.06,0:01:24.68,Default,,0000,0000,0000,,just big enough for a bee to fit into,
Dialogue: 0,0:01:24.68,0:01:28.36,Default,,0000,0000,0000,,which can also double as the containers\Nin which nectar is stored:
Dialogue: 0,0:01:28.36,0:01:30.65,Default,,0000,0000,0000,,The bees' very own honey jars.
Dialogue: 0,0:01:30.65,0:01:34.56,Default,,0000,0000,0000,,The next thing, is to decide what\Nthe little cells should be made out of.
Dialogue: 0,0:01:34.56,0:01:37.48,Default,,0000,0000,0000,,Bees don't have beaks\Nor arms to pick up things,
Dialogue: 0,0:01:37.48,0:01:40.03,Default,,0000,0000,0000,,but they are capable of producing wax.
Dialogue: 0,0:01:40.03,0:01:43.41,Default,,0000,0000,0000,,The thing is, producing it \Nis a lot of hard work.
Dialogue: 0,0:01:43.41,0:01:45.94,Default,,0000,0000,0000,,Bees have to consume 8 ounces of honey
Dialogue: 0,0:01:45.94,0:01:48.62,Default,,0000,0000,0000,,to produce just 1 ounce of wax.
Dialogue: 0,0:01:48.62,0:01:50.39,Default,,0000,0000,0000,,So they don't want to waste it.
Dialogue: 0,0:01:50.39,0:01:53.03,Default,,0000,0000,0000,,So, they need a design \Nthat allows them to store
Dialogue: 0,0:01:53.03,0:01:55.30,Default,,0000,0000,0000,,the largest possible amount of honey
Dialogue: 0,0:01:55.30,0:01:57.58,Default,,0000,0000,0000,,using the least amount of wax.
Dialogue: 0,0:01:57.58,0:01:59.06,Default,,0000,0000,0000,,What shape does that?
Dialogue: 0,0:01:59.06,0:02:01.13,Default,,0000,0000,0000,,Imagining for a minute \Nthat all bees had to
Dialogue: 0,0:02:01.13,0:02:04.15,Default,,0000,0000,0000,,attend architecture academy \Nand go to math class.
Dialogue: 0,0:02:04.15,0:02:06.68,Default,,0000,0000,0000,,Let's say they asked \Ntheir geometry teacher,
Dialogue: 0,0:02:06.68,0:02:10.01,Default,,0000,0000,0000,,"What shape would give us\Nthe most space to store our honey,
Dialogue: 0,0:02:10.01,0:02:12.42,Default,,0000,0000,0000,,but require the least amount of wax?"
Dialogue: 0,0:02:12.42,0:02:14.01,Default,,0000,0000,0000,,And then geometry teacher replied,
Dialogue: 0,0:02:14.01,0:02:16.69,Default,,0000,0000,0000,,"The shape that you're seeking \Nis the circle."
Dialogue: 0,0:02:16.69,0:02:19.36,Default,,0000,0000,0000,,Leaving the bees to return\Nto their trial construction site
Dialogue: 0,0:02:19.36,0:02:23.05,Default,,0000,0000,0000,,and begin building their honeycomb\Nusing circular cells.
Dialogue: 0,0:02:23.05,0:02:25.59,Default,,0000,0000,0000,,After a while, some of them \Nmight have noticed
Dialogue: 0,0:02:25.59,0:02:27.26,Default,,0000,0000,0000,,a problem with their design:
Dialogue: 0,0:02:27.26,0:02:29.84,Default,,0000,0000,0000,,small gaps between the cells.
Dialogue: 0,0:02:29.84,0:02:32.51,Default,,0000,0000,0000,,"We can't even fit in there! \NThat's wasted space!"
Dialogue: 0,0:02:32.51,0:02:34.10,Default,,0000,0000,0000,,they might have thought.
Dialogue: 0,0:02:34.10,0:02:35.95,Default,,0000,0000,0000,,So, ignoring the geometry lesson,
Dialogue: 0,0:02:35.95,0:02:38.23,Default,,0000,0000,0000,,and taking matters into their own hands,
Dialogue: 0,0:02:38.23,0:02:39.92,Default,,0000,0000,0000,,the bees went back to the drawing board
Dialogue: 0,0:02:39.92,0:02:42.15,Default,,0000,0000,0000,,to rethink their beehive design.
Dialogue: 0,0:02:42.15,0:02:43.72,Default,,0000,0000,0000,,One suggested triangles,
Dialogue: 0,0:02:43.72,0:02:47.32,Default,,0000,0000,0000,,"We can use triangles. Look! \NThey fit together perfectly."
Dialogue: 0,0:02:47.32,0:02:49.95,Default,,0000,0000,0000,,Another bee suggested squares.
Dialogue: 0,0:02:49.95,0:02:52.04,Default,,0000,0000,0000,,Finally, a third bee piped up and said,
Dialogue: 0,0:02:52.04,0:02:55.30,Default,,0000,0000,0000,,"Pentagons don't seem to work, \Nbut hexagons do!
Dialogue: 0,0:02:55.30,0:02:58.08,Default,,0000,0000,0000,,We want the one that will use \Nthe least amount of wax
Dialogue: 0,0:02:58.08,0:03:00.55,Default,,0000,0000,0000,,and be able to store \Nthe most amount of honey.
Dialogue: 0,0:03:00.55,0:03:02.99,Default,,0000,0000,0000,,Yes, I think that's the hexagon."
Dialogue: 0,0:03:02.99,0:03:04.18,Default,,0000,0000,0000,,"Why?"
Dialogue: 0,0:03:04.18,0:03:06.28,Default,,0000,0000,0000,,"It looks more like the circle \Nthan the others."
Dialogue: 0,0:03:06.28,0:03:08.07,Default,,0000,0000,0000,,"But how do we know for sure?"
Dialogue: 0,0:03:08.07,0:03:10.90,Default,,0000,0000,0000,,To find out, the industrious \Ninsect architects
Dialogue: 0,0:03:10.90,0:03:14.80,Default,,0000,0000,0000,,calculated the areas of the triangle,\Nthe square and the hexagon
Dialogue: 0,0:03:14.80,0:03:17.00,Default,,0000,0000,0000,,and found that the hexagon was, in fact,
Dialogue: 0,0:03:17.00,0:03:20.25,Default,,0000,0000,0000,,the shape that gave them\Nthe most storage space.
Dialogue: 0,0:03:20.25,0:03:23.39,Default,,0000,0000,0000,,They agreed on an ideal size \Nand returned to work.
Dialogue: 0,0:03:23.39,0:03:26.23,Default,,0000,0000,0000,,The space efficient comb that \Nis a bee's trademark today,
Dialogue: 0,0:03:26.23,0:03:28.67,Default,,0000,0000,0000,,is probably the result \Nof this trial and error,
Dialogue: 0,0:03:28.67,0:03:31.61,Default,,0000,0000,0000,,but over long periods \Nof evolutionary history.
Dialogue: 0,0:03:31.61,0:03:33.36,Default,,0000,0000,0000,,However, it paid off.
Dialogue: 0,0:03:33.36,0:03:34.66,Default,,0000,0000,0000,,Peek into any hive --
Dialogue: 0,0:03:34.66,0:03:37.06,Default,,0000,0000,0000,,with your protective goggles \Nand netting on, of course --
Dialogue: 0,0:03:37.06,0:03:40.83,Default,,0000,0000,0000,,and you'll see the end result: \Na beautiful compact honeycomb
Dialogue: 0,0:03:40.83,0:03:43.81,Default,,0000,0000,0000,,that any architect would have \Nbe proud to design.