Why do Bees build Hexagons? Honeycomb Conjecture explained by Thomas Hales
Mathematician Thomas Hales explains the Honeycomb Conjecture in the context of bees. Hales proved that the hexagon tiling (hexagonal honeycomb) is the most efficient way to maximise area whilst minimising perimeter. Interview with Oxford Mathematician Dr Tom Crawford.
Produced by Tom Rocks Maths intern Joe Double, with assistance from Dr Tom Crawford at the University of Oxford. Thanks to the Oxford University Society East Kent Branch for funding the placement and to the Isaac Newton Institute for arranging the interview.
For more maths related fun check out Tom's website tomrocksmaths.com/
Follow Tom Crawford on Facebook, Twitter and Instagram @tomrocksmaths.
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Tom Rocks Maths intern Joe Double made his own excellent video on Alien (Non-Euclidean) Geometry which I highly recommend you all check out: kzread.info/dash/bejne/ZJiJuKWsp8a_dps.html
Man I ain't no mathematician, but those were 7 cups. Booyakasha!
Just met you today at the oxford uni lecture with the penalty kicks!
Awesome video Tom!
@TomRocksMaths
4 жыл бұрын
Thanks Vadok!
I was just waiting on him to say hexagon is the bestagon. Thanks CGP for pointing this out in your behind the scenes!
@TomRocksMaths
3 жыл бұрын
CGP discussed the Honeycomb Conjecture??! Where can I watch this??
@gideon7212
3 жыл бұрын
@@TomRocksMaths on his patreon there is the behind the scenes. I'm not gonna post that here though if you don't want to pay the $7 you can probably ask in private
Useful video thanks shearing 👍
Wow!, thanks for the little valuable peace of information
@johnpaulminguito
5 жыл бұрын
MORE DETAILED EXPLANATION OF THIS, (kzread.info/dash/bejne/jISi2cqJkajffbQ.html)
@TomRocksMaths
4 жыл бұрын
You're very welcome :)
great video thanks for sharing
@TomRocksMaths
4 жыл бұрын
You're very welcome :)
Interesting. Do the individual triangles in the hexagon have same area as triangles within the triangle though?
@TomRocksMaths
4 жыл бұрын
If I've understood your question correctly, then I believe that no the area is not the same, BUT it is less for the 4 (slightly larger) triangles inside the big triangle than for the 6 triangles inside the hexagon. If you try to fit both shapes inside a circle of diameter 1 for example then you can get explicit values for the required areas and see that the hexagon's is greater. Hope that helps!
@dgmixvlog7480
4 жыл бұрын
@@TomRocksMaths i agree to your suggestion to make a more "MEASURED" calculation than the sketch , but you are wrong on one point. Because, the sketch of the man in the video will still show triangles in THE SAME AREA Individually beacuse we can still assume that those triangle sides will have 1 unit measurement for all sides with ofcourse the same angles, thus, making the old guy's representation a valid calculation.
@TomRocksMaths
4 жыл бұрын
@@dgmixvlog7480 very true!
Nice presentation..And bees have known this for millions of years outsmarting mathmaticians lol..I,ve wondered if its the resonic sound frequency vibration of the bees wings forming the hexagon shapes..like geometric patterns forming on a resonic sound board..just a thought!!
Thanks. Not quite sure what you mean though. So the lines of the radius we would know but not the height of the triangle?
@TomRocksMaths
4 жыл бұрын
It's possible to calculate the height of the triangles (and thus the area) using the known value of the radius and the fact that the triangles are equilateral (so must have 60 degree angles)
The Bestagon!
Cool but Bee's are not making hexagonal combs, they make round one that turn that way through thermal dynamics...
Hii sir how are you??
@TomRocksMaths
4 жыл бұрын
Great thanks Shivani!
@shivanishukla1558
4 жыл бұрын
@@TomRocksMaths u gave me reply after a long time,now what is the situation of your country from corona?
@TomRocksMaths
4 жыл бұрын
@@shivanishukla1558 I'm stuck in lockdown so have lots of time to catch up on KZread comments!
@shivanishukla1558
4 жыл бұрын
@@TomRocksMaths same here
@shivanishukla1558
4 жыл бұрын
@@TomRocksMaths i have a lot creativity to do in this time
And completely wrong! Watch bees making honeycomb and even look at a lot of honeycomb and you will se that its circular. Under the warm conditions of the hive (around 33 degrees C) the wax moves through surface tension into a hexagon, either fully or partially. If you were to tighten that belt even further then each cup would form a hexagon due to the tension. You are good at maths, Sir, but are making totally incorrect assumptions about the competence of bees. Respectfully .. a scientist beekeeper.
@johnowens5342
Жыл бұрын
The hexagon pattern is a function of natural tension throughout nature. Geoff Lawton has a great video called Permaculture Patterns that explains this and the other patterns functions. I believe there are only 7 patterns in all.
SpaceX just start using more honeycomb designs.🤔.. We must be evolving into some sort of Apis hybrid humans (engineering standpoint)😂 funny we copying homework from mother nature 🐝🖤
The experiment at the start is idiotic. The answer depends on the number of objects; with three the result would be a triangle and with four a square. With the number of objects the shape of the perimeter would approach a circle. The honeycomb structure only comes into play when filling out a plane, which this experiment ommits. The video is misleading.