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[–] 1 point 1 year ago* (1 child)

I wonder if this relates to them having six legs somehow. Like, they're able to measure where the next hex should be based on leg length and direction or something.

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  • [–] 8 points 1 year ago

    The bee doesn't have to know anything about numbers to make the honeycomb. All it needs to know is how big to make the circle (bee-sized) and where the circle should be (touching two other circles). From there, the hexagons form naturally.

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  • [–] 1 point 1 year ago

    Cookie Catan!

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  • [–] 1 point 1 year ago*

    I suspect having round shape pushing against each other isn't enought to get a hex shape.

    In the picture, cookies are tiled such that those in the center are surrounded by 6 other cookies and have a hex shape. Others are surrounded by 2 to 4 cookies and are not hex. So it probably has to do with the tiling.

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  • [–] 109 points 1 year ago (4 children)
  • [–] 48 points 1 year ago (4 children)

    ONE. That's how many cookies fit on that tray.

    If you're feeling generous you could break off some sections of your one cookie for your friends.

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  • [–] 40 points 1 year ago (3 children)

    Someone hexed those cookies

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  • [–] 23 points 1 year ago

    This may be my favorite voronoi tesselation.

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  • [–] 23 points 1 year ago

    Columnar basalt cookies

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  • [–] 16 points 1 year ago (5 children)

    This only happened because they laid them in rows of 5-4-5-4.

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  • [–] 23 points 1 year ago (4 children)

    Yeah, it happens when you pack the circles as densely as possible. If you place them in a grid, they will expand to a grid.

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  • [–] 5 points 1 year ago (3 children)

    I think that depends on the fiction between each item / cell, and the plane.

    I think soap bubbles for example will always form hexagons.

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  • [–] 10 points 1 year ago (2 children)

    Bubbles can move freely once created, so they have more freedom than cookies that are stick in place. Thus, bubbles will look for optimal volume to boundary ratio with less constraints

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  • [–] 13 points 1 year ago

    Voronoi cookies!

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  • [–] 12 points 1 year ago (6 children)

    I wonder what the optimal packing of 17 hexagons looks like

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  • [–] 9 points 1 year ago* (last edited 1 year ago) (2 children)

    I just woke up with my phone on this. My assumption is that remembering that optimal packing thing just caused me to pass out, presumably to protect myself.

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  • [–] 3 points 1 year ago (1 child)

    Should the target area be square or should it also be a hexagon?

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  • [–] 3 points 1 year ago

    I've legit been thinking about this since i posted the comment lol. I think the target area should probably be a minimal regular hexagon, but I honestly dont have the mathematical chops to figure it out myself or to know which would be more interesting.

    Intuition tells me to either try to reduce the problem to like convex hull or figure out a reasonable way to generate random packings and just monte carlo it a few million times for a close to optimal solution. A reasonable way to generate random packings feels like it would be way harder to implement than it sounds

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  • [–] 12 points 1 year ago

    me after discovering the voronoi node:

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  • [–] 11 points 1 year ago* (3 children)

    LOL you can see how the back is darker and has this curve. Oven not heating as it should

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  • [–] 5 points 1 year ago

    I don't think I've ever seen any household grade ovens really provide even heat, maybe if you use them with the rotating fan thing, but certainly not in standard mode. You need to spend the big bucks on professional kitchen grade stuff for that.

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  • [+] 9 points 1 year ago (5 children)
  • [–] 8 points 1 year ago

    Annnnd now I’m baking cookies

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  • [–] 7 points 1 year ago

    Close hexagonal packing. Rigid cylinders will approximate this as well.

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  • [–] 6 points 1 year ago

    Voronoi cookies!

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  • [–] 5 points 1 year ago (2 children)

    That pan can fit 21 cookies

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  • Off to make some hexacookies. Who wants one?

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  • [–] 3 points 1 year ago* (4 children)

    I love making chocolate chip cookies, and have refined my technique so a batch of dough fills my two baking sheets perfectly without them smooshing together. The two tricks are using a little more flour and baking soda than the recipe says, so they're a little fluffier and don't spread out so much, and consistent ball size.

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  • [–] 2 points 1 year ago (2 children)

    Can also put the tray with cookies on it in the freezer, that can help keep them from spreading as much! Then throw it in the oven from frozen like. Or...firmed up like.

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  • [–] 3 points 1 year ago

    Shame about all the pentagons there.

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  • [–] 0 points 1 year ago (2 children)

    No they don't (necessarily))??

    Notice how they didn't spread the cookies evenly on the tray? If they had, it would've resulted in squares - not hexagons. On the left, some cookies look more like squares already.

    Hexagons are just one possible way to tile the plane without gaps. The only reason bees use hexagons is because tiling a plane with hexagons results in the lowest possible total perimeter for equally sized shapes. And bees build the edges of their comb shapes using wax, which is expensive.

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  • [–] 19 points 1 year ago* (last edited 1 year ago)

    It's not a plane tiling problem; it's a circle packing problem. The optimal euclidean circle packing results in each cookie having six cookies around it, and so when they melt, hexagons.

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    [–] 0 points 1 year ago

    Fuck reading instructions. Amirite???

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