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  • So you may have heard ofbees.

  • Yes, bees are pretty great at making hexagons, as seen in this honeycomb that I regret picking

  • up because now I can't touch anything with my stickyfingers but anyway bees make not

  • just hexagons but 3d hexagon pockets with depth, full of bee candy, so maybe they're

  • like hexagonal prisms, although not exactly cuz the bottoms of the candypockets aren't

  • flat but kind of faceted, you can see the facets real well in this beeswax candle that

  • just has the bottoms of the cells,

  • But that's not the point, the point is that hexagonal cells fit together really good to

  • make a flat sheet, and it's not just bees that use hexagons see here's a wasp nest

  • and besides the hexagon thing wasp nests are totally different, they're made out of paper

  • not wax, they don't store wasp candy, they don't even store food in here they're

  • just wasp pockets for more wasps, anyway, you might start to wonder what other things

  • are made out of hexagons, like what about our cells?

  • What shape are the cells in your own hand?

  • Usually when people talk about cells they draw this flat diagram that's all roundy,

  • but of course in real life cells are 3d, wait are eggs a cell?

  • Well let's just use it as the nucleus of a bigger cell, and then there's other kinds

  • of cell bits in there so let's stuff those in, and while some cells might be roundy and

  • floating around in your blood stream or whatever some kinds of cells are snuggled up next to

  • each other with no space inbetween so they get all squished into really shapey shapes,

  • even if they began life wanting to be round.

  • It's kind of like monkey bread.

  • You can start with these round cells floating in butterstuff, lots and lots of butterstuff

  • to properly simulate the mathematics of course, and once the cells puff up and all connect

  • to each other then they get less roundy and more faceted like a cell with shapes.

  • Hmmnow that I think of it there's a lot of mathematics in monkey bread, more on

  • that another time.

  • Or maybe cells are like a bubble foam.

  • Individual bubbles are all roundy like a free floating cell, but once you stick a bunch

  • together they get all this shape stuff going on.

  • Anyway if you've ever played with beeswax you might notice that a sheet of hexagons

  • is pretty good at rolling up, or bending one way or another, but it doesn't like to be

  • roundy.

  • And animals have lots of roundy bits, and anti-roundy bits, and most animals aren't

  • made by bees, and roundy shapes just don't like to be all hexagons all the time, like

  • a soccerball has 20 hexagons but 12 pentagons too.

  • so long story short some scientists and mathematicians were wondering what different shapes a sheet

  • of cells might be made out of and they did math to it and discovered that cells can sometimes

  • be like a hexagonal prism, and they can sometimes be pentagonal prisms or other kinds of prisms,

  • or pyramid-like prisms called frustums, but another kind of shape came up, one that didn't

  • have a name.

  • This shape has one polygon on one end, in this case a hexagon, and a different one on

  • the other end, such as a pentagon, and to get from one to the other it has this little

  • triangle.

  • And you know how I feel about triangles.

  • And they named it the Scutoid.

  • And yes, they scoot.

  • scoot scoot scoot.

  • This shape is so new to the world of human language that I had to get in touch with one

  • of the authors of the paper, Clara Grima, to ask whether scutoids had to be hexagons

  • to pentagons, and it turns out scutoids come in many forms, but point is that scutoids

  • are alive not just in your body but as a new subject of research being done by living mathematicians

  • and computational biologists right now.

  • Scutoids are a brand new 2018 shape and winner of the 2018 Shape Awards, yaay scutoid, you

  • won a new award we just made up right now, but anyway next time I'll show you how to

  • make your own scutoids, well, technically you're making scutoids all over your body

  • all the time but you know what I mean ok bye!

So you may have heard ofbees.

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スクトイド (Scutoids)

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    林宜悉 に公開 2021 年 01 月 14 日
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